Collierville High School

CHS has 11 National Merit Semifinalists and 12 Commended Scholars
Pamela Kendall » 14-15 Honors Algebra II Curriculum Guide

14-15 Honors Algebra II Curriculum Guide

Honors Algebra 2

 RECOMMENDED HONORS ALGEBRA II PACING CHART

 

 

 

I.  Description of Course

Topics from Algebra 1 are treated with more detail and depth.  In addition to these topics, the content includes a study of real and imaginary numbers, equations, inequalities, relations and functions, matrices, quadratic functions, conic sections, systems of equations and inequalities, exponents and logarithms, probability and statistics, and rational expressions.  Concepts from Geometry are extended, especially the ability to write proofs, the treatment of conic sections through coordinate geometry, regions described by systems of inequalities, and probability modeled by areas of figures.

 

State learning expectations and Tennessee Academic Vocabulary can be found at http://state.tn.us/education/curriculum.shtml

 

II. General Information

A.  Prerequisite - Algebra 1 and Geometry preferred; Algebra 1 only, with permission.  May be taken concurrently with Geometry.

B.   Suggested grade level - Eleventh, Twelfth

C.   Credit - One Carnegie unit

D.   A State End of Year Exam is administered for this course. It will count as 25 percentage of the second semester grade beginning in 2012.

E.   Text:  Algebra 2 (Tennessee Edition), Glencoe/McGraw-Hill (2012)

 

III. Supplementary Materials 

A.   Teacher Wraparound Edition

B.   TeacherWorks All-in-One Lesson Planner and Resource Center CD-ROM

C.   ExamView Pro CD-ROM

D.   Access to student and teacher password protected website at www.glencoe.com.

 

IV.  Purpose

A.  The purpose of this course is to prepare the college-bound student for college entrance exams    and for advanced studies in mathematics. 

 

B.  The following pacing guide was developed in alignment with the standards developed by the State of Tennessee. Mathematics Curriculum Standards can by accessed via the Internet at:http://tennessee.gov/education/ci/math/index.shtml

 

C.  For a list of sample End-of-Course (EOC) test questions, go tohttp://tennessee.gov/education/assessment/sec_samplers.shtml

 

D.  Every effort has been made to correlate textbook lessons to GLEs/SPIs/Checks for Understanding.

 

E.  Please remember recommended days include time for instruction, review and assessment.

 

Revised June 2014

 

First Nine Weeks (43 Days)

Chapter 0: Preparing for Advanced Algebra ( Algebra II) THIS CHAPTER WILL BE COMPLETED AS PART OF THE SUMMER WORK FOR HONORS ALGEBRA II AND WILL BE REVIEWED AND ASSESSED DURING THE FIRST 13 DAYS OF THE FIRST NINE WEEKS GRADING PERIOD.

 

Section 0-1: Representing Functions

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/the-coordinate-plane

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/relations-and-functions

COMPASS LEARNING ODYSSEY 

https://www.thelearningodyssey.com/

 

Learning Activity -     A1621              Introduction to the Coordinate Plane and Relations

Learning Activity -     A1622              Quiz: Introduction to the Coordinate Plane and Relations

Learning Activity -     A1631              Identifying Functions

Learning Activity -     A1632              Quiz: Identifying Functions

Learning Activity -     a11621        Web Activity: Intro to Graphs, Relations, and Function Rules

 

Section 0-2: FOIL

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/multiplying-binomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/square-a-binomial

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/special-products-of-binomials

COMPASS LEARNING ODYSSEY 

https://www.thelearningodyssey.com/

 

Learning Activity -     A1923              Multiplying Polynomials

Learning Activity -     A1931              Special Products of Binomials

Learning Activity -     a11627        Web Activity: Add, Subtract, and Multiply Polynomials

 

Section 0-3: Factoring Polynomials

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factor-polynomials-using-the-gcf

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-quadratic-expressions

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l1-t2-we3-factoring-trinomials-by-grouping-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-4

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-5

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factor-by-grouping-and-factoring-completely

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-leading-1-coefficient

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-common-factor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-special-products

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l2-t1-we1-factoring-special-products-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-special-products-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l2-t1-we3-factoring-special-products-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-perfect-square-trinomials

COMPASS LEARNING ODYSSEY 

https://www.thelearningodyssey.com/

 

Learning Activity -     A11012           Quiz: Introduction to Factoring Polynomials

Learning Activity -     A11011      Introduction to Factoring Polynomials

Learning Activity -     A11021      Factoring ax2+bx+c

Learning Activity -     A11022      Quiz: Factoring ax2+bx+c

Learning Activity -     A11031      Factoring Special Products

Learning Activity -     A11032      Quiz: Factoring Special Products

Learning Activity -     a11628      Web Activity: Factoring Polynomials

 

Section 0-4: The Counting Principle

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1441          Experimental and Theoretical Probability

Learning Activity -     A1451              Independent Events

Learning Activity -     A1453              Dependent Events

Learning Activity -     a11617        Web Activity: Probability of Events

 

Section 0-5: Permutations and Combinations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/probability/v/permutations-and-combinations-1

VIDEO:http://www.khanacademy.org/math/probability/v/permutations-and-combinations-2

VIDEO:http://www.khanacademy.org/math/probability/v/permutations-and-combinations-3

VIDEO:http://www.khanacademy.org/math/probability/v/permutations-and-combinations-4

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1461          Factorials and Permutations

Learning Activity -     A1462              Quiz: Factorials and Permutations

Learning Activity -     A1463              Combinations and Pascal's Triangle

Learning Activity -     A1464              Quiz: Combinations and Pascal's Triangle

 

Section 0-6: Congruent and Similar Figures

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/geometry/triangles/v/congruent-and-similar-triangles

VIDEO:http://www.khanacademy.org/math/geometry/triangles/v/congruent-triangles-and-sss

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     GE641          Similar Polygons

Learning Activity -     GE642              Quiz: Similar Polygons

Learning Activity -     ge1423        Web Activity: Polygons

 

Section 0-7: The Pythagorean Theorem

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/pythagorean-theorem

VIDEO: http://www.khanacademy.org/math/algebra/exponents-radicals/v/pythagorean-theorem-1

VIDEO: http://www.khanacademy.org/math/algebra/exponents-radicals/v/pythagorean-theorem-2

VIDEO: http://www.khanacademy.org/math/algebra/exponents-radicals/v/pythagorean-theorem-3

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11331            The Pythagorean Theorem

Learning Activity -     A11332        Quiz: The Pythagorean Theorem

 

Chapter 1: Equations and Inequalities THIS CHAPTER WILL BE COMPLETED AS PART OF THE SUMMER WORK FOR HONORS ALGEBRA II AND WILL BE REVIEWED AND ASSESSED DURING THE FIRST 13 DAYS OF THE FIRST NINE WEEKS GRADING PERIOD.

CLE 3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.

CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.

CLE 3103.2.2 Connect numeric, analytic, graphical and verbal representations of both real and complex numbers.

CLE 3103.3.3 Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers.

 

Section 1-1: Expressions and Formulas

State Performance Indicators:

SPI 3103.1.1 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic) of non-linear and transcendental functions to solve problems, to model mathematical ideas, and to communicate solution strategies.

√ 33103.3.1 Perform operations on algebraic expressions and justify the procedures.

Common Core Standards:

ASSE.1a Interpret the structure of expressions.

ASSE.1b Interpret the structure of expressions

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2040              Literal Equations

Learning Activity -     aqa2040  AQ: Literal Equations

Learning Activity -     A1211              Algebraic Expressions

Learning Activity -     A1212              Quiz: Algebraic Expressions

Learning Activity -     A1231              Simplifying Algebraic Expressions

Learning Activity -     A1232              Quiz: Simplifying Algebraic Expressions

 

Section 1-2: Properties of Real Numbers

State Performance Indicators:

SPI 3103.2.1 Describe any number in the complex number system.

√ 33103.2.1 Understand that to solve certain problems and equations, the real number system needs to be extended from real numbers to complex numbers.

√ 33103.2.2 Define and give examples of each of the types of numbers in the complex number system.

Common Core Standards:

ASSE.2 Interpret the structure of expressions

Resources/Activities

LESSON: Classifying Complex Numbers

LESSON: Complex Number Properties.

RESOURCE: Complex Numbers.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     M8031              Guided Inst./Prac.: Properties

Learning Activity -     M8032              Chall. Quiz: Properties

 

Section 1-3: Solving Equations

State Performance Indicators:

SPI 3103.1.1 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic) of non-linear and transcendental functions to solve problems, to model mathematical ideas, and to communicate solution strategies.

√ 33103.2.3 Identify and apply properties of complex numbers (including simplification and standard form).

√ 33103.3.3 Determine and graph the inverse of a function with and without technology.

Common Core Standards:

ACED.1 Create equations that describe numbers or relationships

ACED.4 Create equations that describe numbers or relationships

AREI.1 Understand solving equations as a process of reasoning and explain the reasoning

AREI.3 Solve equations and inequalities in one variable

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/simple-equations?p=Algebra

VIDEO: http://www.khanacademy.org/v/equations-2?p=Algebra

VIDEO: http://www.khanacademy.org/v/equations-3?p=Algebra

VIDEO: http://www.khanacademy.org/v/algebra--linear-equations-4?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/solving-equations-1

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/two-step-equations

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1341              Writing, Creating, and Solving Equations from Stories

Learning Activity -     A1342              Quiz: Writing, Creating, and Solving Equations from Stories

Learning Activity -     A1311              One-Step Equations

Learning Activity -     A1312              Quiz: One-Step Equations

Learning Activity -     A1313              Two-Step Equations

Learning Activity -     A1314              Quiz: Two-Step Equations

Learning Activity -     A1321              Multi-Step Equations

Learning Activity -     A1322              Quiz: Multi-Step Equations

Learning Activity -     A1331              Equations with Variables on Both Sides

Learning Activity -     A1332              Quiz: Equations with Variables on Both Sides

 

Section 1-4: Solving Absolute Value Equations

State Performance Indicators:

√ 33103.2.3 Identify and apply properties of complex numbers (including simplification and standard form).

√ 33103.2.9 Find and describe geometrically the absolute value of a complex number.

√ 33103.3.3 Determine and graph the inverse of a function with and without technology.

Common Core Standards:

ACED.1 (See Lesson 1-3)

ACED.3 Create equations that describe numbers or relationships

ASSE.1b (See Lesson 1-1)

AREI.1 (See Lesson 1-3)

AREI.3 (See Lesson 1-3)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/absolute-value-equations-1

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/absolute-value-equations-example-1

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/absolute-value-equation-example-2

VIDEO: http://www.khanacademy.org/v/california-standards-test--algebra-ii?p=California%20Standards%20Test%3A%20Algebra%20II 

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1561              Absolute Value Equations and Inequalities

Learning Activity -     A1562              Quiz: Absolute Value Equations and Inequalities

Learning Activity -     a2080              Absolute Value Functions

Learning Activity -     aqa2080      AQ: Absolute Value Functions

 

Section 1-5: Solving Inequalities

State Performance Indicators:

33103.3.3 Determine and graph the inverse of a function with and without technology.

Common Core Standards:

ACED.1 (See Lesson 1-3)

ACED.3 (See Lesson 1-4)

AREI.1 (See Lesson 1-3)

AREI.3 (See Lesson 1-3)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/inequalities-on-a-number-line

VIDEO: http://www.khanacademy.org/v/algebra--solving-inequalities?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/equations-and-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/solving-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/one-step-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/one-step-inequalities-2

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/inequalities-using-addition-and-subtraction

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/inequalities-using-multiplication-and-division

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/multi-step-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/multi-step-inequalities-2

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/inequalities

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1511              Introduction to Inequalities

Learning Activity -     A1512              Quiz: Introduction to Inequalities

Learning Activity -     A1521              Solving One-Step Inequalities I

Learning Activity -     A1522              Quiz: Solving One-Step Inequalities I

Learning Activity -     A1523              Solving One-Step Inequalities II

Learning Activity -     A1524              Quiz: Solving One-Step Inequalities II

Learning Activity -     a2050              Solving Linear Equations and Inequalities

Learning Activity -     A1531              Solving Two-Step and Multi-Step Inequalities

Learning Activity -     A1532              Quiz: Solving Two-Step and Multi-Step Inequalities

Learning Activity -     A1541              Solving Inequalities with Variables on Both Sides

Learning Activity -     A1542              Quiz: Solving Inequalities with Variables on Both Sides

 

Section 1-6: Solving Compound and Absolute Value Inequalities

State Performance Indicators:

√ 33103.3.3 Determine and graph the inverse of a function with and without technology.

√ 33103.3.18 Solve compound inequalities involving disjunction and conjunction and linear inequalities containing absolute values.

Common Core Standards:

ACED.1 (See Lesson 1-3)

ACED.3 (See Lesson 1-4)

AREI.1 (See Lesson 1-3)

AREI.3 (See Lesson 1-3)

Resources/Activities

ENRICHMENT RESOURCE: Absolute Value Inequalities

RESOURCE: Absolute Value

RESOURCE: Absolute Value Equations and Inequalities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/compund-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/compund-inequalities-2

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/compound-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/compound-inequalities-3

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/compound-inequalities-4

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/absolute-value-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/absolute-value-inequalities-example-1

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/absolute-value-inequalities-example-2

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/absolute-value-inequalities-example-3

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1551              Solving Compound Inequalities

Learning Activity -     A1552              Quiz: Solving Compound Inequalities

Learning Activity -     A1561              Absolute Value Equations and Inequalities

Learning Activity -     A1562              Quiz: Absolute Value Equations and Inequalities

 

Chapter 2: Linear Relations and Functions THIS CHAPTER WILL BE COMPLETED AS PART OF THE SUMMER WORK FOR HONORS ALGEBRA II AND WILL BE REVIEWED AND ASSESSED DURING THE FIRST 13 DAYS OF THE FIRST NINE WEEKS GRADING PERIOD.

CLE 3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.

CLE 3103.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.2.3 Use appropriate technology (including graphing calculators and computer spreadsheets) to solve problems, recognize patterns and collect and analyze data.

CLE 3103.3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph.

CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.

CLE 3103.5.1 Describe, interpret, and apply quantitative data.

CLE 3103.5.2 Evaluate and critique various ways of collecting data and using information based on data published in the media.

 

Section 2-1: Relations and Functions

State Performance Indicators:

√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.

Common Core Standards:

FIF.1 Understand the concept of a function and use function notation

FIF.2 Understand the concept of a function and use function notation

FIF.4 Interpret functions that arise in applications in terms of the context

FIF.5 Interpret functions that arise in applications in terms of the context

FIF.7a Analyze functions using different representations

Resources/Activities

LESSON: Domain Representations.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/relations-and-functions

VIDEO: http://www.khanacademy.org/v/introduction-to-functions?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/a-more-formal-understanding-of-functions

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1621            Introduction to the Coordinate Plane and Relations

Learning Activity -     a2020            Domain and Range of a Function

Learning Activity -     aqa2020        AQ: Domain and Range of a Function

Learning Activity -     A1631            Identifying Functions

Learning Activity -     A1632            Quiz: Identifying Functions

 

Section 2-2: Linear Relations and Functions

State Performance Indicators:

√ 33103.3.12 Understand the relationship between real zeros of a function and the x-intercepts of its graph.

√ 33103.5.1 Collect, represent and describe both linear and non-linear data developed from contextual situations.

Common Core Standards:

ASSE.1b (See Lesson 1-1)

FLE.1 Construct and compare linear, quadratic, and exponential models and solve problems

FLE.2 Construct and compare linear, quadratic, and exponential models and solve problems

FIF.4 (See Lesson 2-1)

FIF.7a (See Lesson 2-1)

FIF.9 Analyze functions using different representations

Resources/Activities

ENRICHMENT: Armstrong Numbers

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1641            Function Rules, Tables, and Graphs

Learning Activity -     A1642            Quiz: Function Rules, Tables, and Graphs

Learning Activity -     pc090             Linear Functions

Learning Activity -     a2020            Domain and Range of a Function

Learning Activity -     aqa2020  AQ: Domain and Range of a Function

Learning Activity -     a2060                Graphing Linear Functions

Learning Activity -     aqa2060  AQ: Graphing Linear Functions

Learning Activity -     a2070                Writing Rules for Linear Functions

Learning Activity -     a2075            Activity Quiz: Writing Rules for Linear Functions

 

Section 2-3: Rate of Change and Slope

State Performance Indicators:

√ 33103.5.1 Collect, represent and describe both linear and non-linear data developed from contextual situations.

Common Core Standards:

FIF.4 (See Lesson 2-1)

FIF.6 Interpret functions that arise in applications in terms of the context

FLE.1b Construct and compare linear, quadratic, and exponential models and solve problems

ACED.2 Create equations that describe numbers or relationships

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/algebra--slope-and-y-intercept-intuition?p=Algebra

VIDEO: http://www.khanacademy.org/v/algebra--slope?p=Algebra

VIDEO: http://www.khanacademy.org/v/algebra--slope-2?p=Algebra

VIDEO: http://www.khanacademy.org/v/algebra--slope-3?p=Algebra

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1411              Ratio and Proportion

Learning Activity -     A1412              Quiz: Ratio and Proportion

Learning Activity -     A1711              Rate of Change and Slope

Learning Activity -     A1712              Quiz: Rate of Change and Slope

Learning Activity -     A1713              The Slope Formula

Learning Activity -     A1714              Quiz: The Slope Formula

Learning Activity -     pc100               Slope as a Rate of Change

Learning Activity -     aqpc100       AQ: Slope as a Rate of Change

Learning Activity -     pc110               Estimating the Slope of a Curve

Learning Activity -     aqpc110       AQ: Estimating the Slope of a Curve

 

Section 2-4: Writing Linear Equations

Common Core Standards:

ACED.2 (See Lesson 2-3)

ASSE.1b (See Lesson 1-1)

FLE.2 (See Lesson 2-2)

Resources/Activities

LESSON: Determining Functions Using Regression.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/algebra--graphing-lines-1?p=Algebra

VIDEO: http://www.khanacademy.org/v/algebra--equation-of-a-line?p=Algebra

VIDEO: http://www.khanacademy.org/#browse

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_2-4b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1751              Slope-Intercept Form

Learning Activity -     A1752              Quiz: Slope-Intercept Form

Learning Activity -     A1761              Point-Slope Form and Standard Form

Learning Activity -     A1762              Quiz: Point-Slope Form and Standard Form

Learning Activity -     A1771              Writing the Equation

Learning Activity -     A1772              Quiz: Writing the Equation

Learning Activity -     a2030              Functions and Equations

Learning Activity -     a2060              Graphing Linear Functions

Learning Activity -     aqa2060  AQ: Graphing Linear Functions

Learning Activity -     a2070              Writing Rules for Linear Functions

Learning Activity -     a2075              Activity Quiz: Writing Rules for Linear Functions       

 

Section 2-5: Scatter Plots and Lines of Regression

State Performance Indicators:

SPI 3103.3.12 Interpret graphs that depict real-world phenomena.

SPI 3103.5.3 Analyze patterns in a scatter-plot and describe relationships in both linear and non-linear data.

SPI 3103.5.6 Find the regression curve that best fits both linear and non-linear data (using technology such as a graphing calculator) and use it to make predictions.

SPI 3103.5.7 Determine/recognize when the correlation coefficient measures goodness of fit.

√ 3103.1.1 Create and analyze scatter-plots of non-linear and transcendental functions.

√ 3103.1.3 Use calculators to identify regression equations for nonlinear data.

√ 33103.5.3 Read and interpret data from a two-way table.

√ 33103.5.6 Use technology to find the appropriate regression equation for both linear and non-linear data.

√ 33103.5.7 Recognize when the correlation coefficient measures goodness of fit and does not imply causation.

√ 33103.5.9 Use data to detect patterns.

√ 33103.5.10 Design simple experiments to collect data to answer questions of interest.

Common Core Standards:

FIF.4 (See Lesson 2-1)

FLE.1b (See Lesson 2-3)

NQ.1 Reason quantitatively and use units to solve problems.

NQ.2 Reason quantitatively and use units to solve problems.

NQ.3 Reason quantitatively and use units to solve problems.

Resources/Activities

LESSON: Exploring Linear Data.

LESSON: Line of Best Fit.

RESOURCE: Graphing

ENRICHMENT: How to weigh an alligator.

ENRICHMENT: Correlation Does Not Equal Causation.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/predicting-with-linear-models

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/using-a-linear-model

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2440              Scatter Plots and Lines of Best Fit

Learning Activity -     aqa2440      AQ: Scatter Plots and Lines of Best Fit

 

Section 2-6: Special Functions

State Performance Indicators:

√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.

√ 33103.3.5 Graph piece-wise and step functions.

Common Core Standards:

ACED.2 (See Lesson 2-3)

ACED.3 (See Lesson 1-4)

ASSE.1b (See Lesson 1-1)

FIF.4 (See Lesson 2-1)

FIF.5 (See Lesson 2-1)

FIF.7a (See Lesson 2-1)

FIF.7b Analyze functions using different representations

Resources/Activities

ENRICHMENT: Parent Graphs

LESSON: Creating piece wise functions using CBR system.

LESSON: Classes of functions

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_2-7a.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2080              Absolute Value Functions

Learning Activity -     aqa2080      AQ: Absolute Value Functions

Learning Activity -     a2090              Step Functions

Learning Activity -     aqa2090  AQ: Step Functions

Learning Activity -     pc080           Piecewise Functions

 

Section 2-7: Parent Functions and Transformations

State Performance Indicators:

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

√ 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs.

√ 33103.3.11 Describe and articulate the characteristics and parameters of a parent function.

Common Core Standards:

ACED.2 (See Lesson 2-3)

ACED.3 (See Lesson 1-4)

ASSE.1b (See Lesson 1-1)

FBF.3 Build new functions from existing functions 

FLE.1 (See Lesson 2-2)

FLE.2 (See Lesson 2-2)

FIF.4 (See Lesson 2-1)

FIF.7a (See Lesson 2-1)

FIF.9 Analyze functions using different representations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2060              Graphing Linear Functions

Learning Activity -     aqa2060      AQ: Graphing Linear Functions

Learning Activity -     a2060              Graphing Linear Functions

Learning Activity -     aqa2060      AQ: Graphing Linear Functions

Learning Activity -     a2100              Reflections and Translations

Learning Activity -     aqa2100      AQ: Reflections and Translations

Learning Activity -     a2110              Stretches and Compressions

Learning Activity -     aqa2110      AQ: Stretches and Compressions

 

Section 2-8: Graphing Linear and Absolute Value Inequalities

State Performance Indicators:

√ 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs.

√ 33103.3.18 Solve compound inequalities involving disjunction and conjunction and linear inequalities containing absolute values.

Common Core Standards:

ACED.3 (See Lesson 1-4)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/solving-and-graphing-linear-inequalities-in-two-variables-1

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/graphing-linear-inequalities-in-two-variables-2

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/graphing-linear-inequalities-in-two-variables-example-2

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/graphing-linear-inequalities-in-two-variables-3

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/ca-algebra-i--graphing-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/graphing-inequalities

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/graphing-inequalities-1

VIDEO: http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/graphing-inequalities-2

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1841          Graphing Linear Inequalities

Learning Activity -     A1842              Quiz: Graphing Linear Inequalities

Learning Activity -     A1561              Absolute Value Equations and Inequalities

Learning Activity -     A1562              Quiz: Absolute Value Equations and Inequalities

Learning Activity -     a2050          Solving Linear Equations and Inequalities

 

Chapter 3: Systems of Equations and Inequalities THIS CHAPTER WILL BE COMPLETED AS PART OF THE SUMMER WORK FOR HONORS ALGEBRA II AND WILL BE REVIEWED AND ASSESSED DURING THE FIRST 13 DAYS OF THE FIRST NINE WEEKS GRADING PERIOD.

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.3.3 Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers.

 

Section 3-1: Solving Systems of Equations by Graphing

State Performance Indicators:

SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.

Common Core Standards:

ACED.2 (See Lesson 2-3)

ACED.3 (See Lesson 1-4)

AREI.11 Represent and solve equations and inequalities graphically

AREI.6 Solve systems of equations

FIF.7a (See Lesson 2-1)

Resources/Activities

LESSON: Graphing Method

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/systems-of-equations

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_3-1b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1811              Solving Linear Systems by Graphing

Learning Activity -     A1812          Quiz: Solving Linear Systems by Graphing

 

Section 3-2: Solving Systems of Equations Algebraically

State Performance Indicators:

√ 33103.3.8 Solve a three by three system of linear equations algebraically and by using inverse matrices and determinants with and without technology.

Common Core Standards:

ACED.3 (See Lesson 1-4)

AREI.5 Solve systems of equations

AREI.6 Solve systems of equations

Resources/Activities

LESSON: Algebraic Method

RESOURCE: Solving Systems

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/systems-of-equations?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-substitution-1

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-substitution-2

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-substitution-3

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-elimination

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-elimination-2

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-elimination-3

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-of-equations-by-elimination

VIDEO: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-of-equations-by-multiplication

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1821              Solving Linear Systems Using Substitution

Learning Activity -     A1822           Quiz: Solving Linear Systems Using Substitution

Learning Activity -     A1831              Solving Linear Systems Using Elimination

Learning Activity -     A1832              Quiz: Solving Linear Systems Using Elimination

Learning Activity -     a2030              Functions and Equations

Learning Activity -     aqa2030  AQ: Functions and Equations

Learning Activity -     a2480              Solving Linear Systems of Equations

Learning Activity -     aqa2480       AQ: Solving Linear Systems of Equations

 

Section 3-3: Solving systems of Inequalities by Graphing

State Performance Indicators:

SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.

√ 33103.3.19 Solve linear programming problems.

Common Core Standards:

ACED.3 (See Lesson 1-4)

AREI.10 Represent and solve equations and inequalities graphically

AREI.12 Represent and solve equations and inequalities graphically

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_3-3b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1843              Systems of Linear Inequalities

Learning Activity -     A1844              Quiz: Systems of Linear Inequalities

Learning Activity -     a2500              Graphing Systems of Inequalities

Learning Activity -     aqa2500  AQ: Graphing Systems of Inequalities

 

Section 3-4: Optimization with Linear Programming

State Performance Indicators:

√ 33103.3.19 Solve linear programming problems.

Common Core Standards:

ACED.3 (See Lesson 1-4)

AREI.10 Represent and solve equations and inequalities graphically

Resources/Activities

ENRICHMENT:  Dirt Bike Dilemma.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/test-prep/california-standards-test/algebra-i/v/ca-algebra-i--systems-of-inequalities

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2510              Linear Programming

Learning Activity -     aqa2510      AQ: Linear Programming

 

Section 3-5: Systems of Equations in Three Variables

State Performance Indicators:

SPI 3103.3.8 Solve systems of three linear equations in three variables.

√ 33103.3.8 Solve a three by three system of linear equations algebraically and by using inverse matrices and determinants with and without technology.

Common Core Standards:

ACED.3 (See Lesson 1-4)

Resources/Activities

ENRICHMENT RESOURCE: Hanging Chains.

RESOURCE: Solving Systems

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor 

 

Chapter 4: Matrices (5 Days for instruction, review and assessment)

CLE 3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.

CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.

CLE 3103.1.4 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies. CLE 3103.1.4 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies.

CLE 3103.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.

CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.5.1 Describe, interpret, and apply quantitative data.

 

Section 4-1: Introduction to Matrices (Optional section for Honors Algebra II)

State Performance Indicators:

√ 3103.1.10 Interpret the results of mathematical modeling in various contexts to answer questions.

√ 33103.2.3 Identify and apply properties of complex numbers (including simplification and standard form).

√ 33103.3.19 Solve linear programming problems.

Common Core Standards:

NVM.6 Perform operations on matrices and use matrices in applications.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/algebra-matrices/v/introduction-to-matrices

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     GE911              Translations

Learning Activity -     GE912              Quiz: Translations

Learning Activity -     GE913              Reflections

Learning Activity -     GE914              Quiz: Reflections

Learning Activity -     GE915              Rotations and Tessellations

Learning Activity -     GE916              Quiz: Rotations and Tessellations

Learning Activity -     GE917              Symmetry

Learning Activity -     GE918              Quiz: Symmetry

Learning Activity -     GE919              Dilations

Learning Activity -     GE9110    Quiz: Dilations

Learning Activity -     GE921          Transformations with Matrices: Adding

Learning Activity -     GE923          Transformations with Matrices: Multiplying

 

Section 4-2: Operations with Matrices (Optional section for Honors Algebra II)

Common Core Standards:

NVM.7 Perform operations on matrices and use matrices in applications.

NVM.8 Perform operations on matrices and use matrices in applications.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2520          Matrix Addition, Subtraction, and Scalar Multiplication

Learning Activity -     aqa2520      AQ: Matrix Addition, Subtraction, and Scalar Multiplication

 

Section 4-3: Multiplying Matrices

Common Core Standards:

NVM.9 Perform operations on matrices and use matrices in applications.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

VIDEO: http://www.khanacademy.org/math/algebra/algebra-matrices/v/matrix-multiplication--part-1

VIDEO: http://www.khanacademy.org/math/algebra/algebra-matrices/v/matrix-multiplication--part-2

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2530           Matrix Multiplication

Learning Activity -     aqa2530       AQ: Matrix Multiplication

 

Section 4-4: Transformations with Matrices (Optional section for Honors Algebra II)

Common Core Standards:

NVM.11 Perform operations on matrices and use matrices in applications.

Resources/Activities

ENRICHMENT: Transformers

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     GE911              Translations

Learning Activity -     GE912              Quiz: Translations

Learning Activity -     GE913              Reflections

Learning Activity -     GE914              Quiz: Reflections

Learning Activity -     GE915              Rotations and Tessellations

Learning Activity -     GE916              Quiz: Rotations and Tessellations

Learning Activity -     GE917              Symmetry

Learning Activity -     GE918              Quiz: Symmetry

Learning Activity -     GE919              Dilations

Learning Activity -     GE9110    Quiz: Dilations

Learning Activity -     GE921           Transformations with Matrices: Adding

Learning Activity -     GE923           Transformations with Matrices: Multiplying

 

Section 4-5: Determinants and Cramer’s Rule

State Performance Indicators:

SPI 3103.3.8 Solve systems of three linear equations in three variables.

√ 33103.3.8 Solve a three by three system of linear equations algebraically and by using inverse matrices and determinants with and without technology.

Common Core Standards:

ACED.3 (See Lesson 1-4)

NVM.12 Perform operations on matrices and use matrices in applications.

Resources/Activities

RESOURCE:  Operating on Matrices

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/linear-algebra/v/linear-algebra--formula-for-2x2-inverse

VIDEO: http://www.khanacademy.org/math/linear-algebra/v/linear-algebra--3x3-determinant

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2550          Cramer's Rule

Learning Activity -     aqa2550       AQ: Cramer's Rule

 

Section 4-6: Inverse Matrices and Systems of Equations

State Performance Indicators:

SPI 3103.3.8 Solve systems of three linear equations in three variables.

√ 33103.3.8 Solve a three by three system of linear equations algebraically and by using inverse matrices and determinants with and without technology.

Common Core Standards:

ACED.3 (See Lesson 1-4)

NVM.10 Perform operations on matrices and use matrices in applications.

AREI.8 Solve systems of equations

AREI.9 Solve systems of equations

Resources/Activities

LESSON: Identity and Inverse Matrices

LESSON:  Using Matrices to Solve a System

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/algebra-matrices/v/inverse-matrix--part-1

VIDEO: http://www.khanacademy.org/math/algebra/algebra-matrices/v/matrices-to-solve-a-system-of-equations

 

Chapter 5: Quadratic Functions and Relations (18 Days for instruction, review and assessment)

CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.2.1 Understand the hierarchy of the complex number system and relationships between the elements, properties and operations.

CLE 3103.2.2 Connect numeric, analytic, graphical and verbal representations of both real and complex numbers.

CLE 3103.2.4 Understand the capabilities and limitations of technology when performing operations, graphing, and solving equations involving complex numbers.

 

Section 5-1: Graphing Quadratic Functions

State Performance Indicators:

√ 33103.2.10 Draw conclusions based on number concepts, algebraic properties, and/or relationships between expressions and numbers over complex numbers.

√ 33103.2.13 Analyze and evaluate contextual situations involving any type of number from the complex number system.

√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.

√ 33103.3.9 Find an equation for a parabola when given its graph or when given its roots.

Common Core Standards:

FIF.4 Interpret functions that arise in applications in terms of the context

ASSE1.a Interpret the structure of expressions

FIF.7a Analyze functions using different representations

FIF.8a Analyze functions using different representations

Resources/Activities

ENRICHMENT:  Graphing Families of Quadratic Functions.

LESSON: Graphing Quadratic Functions

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/introduction-to-the-quadratic-equation?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/graphing-a-quadratic-function

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quadratic-functions-1

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quadratic-functions-2

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quadratic-functions-3

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_5-1b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11111        Graphs of Quadratic Functions

Learning Activity -     A11112        Quiz: Graphs of Quadratic Functions

Learning Activity -     a2170          Graphing Quadratic Functions

 

Section 5-2: Solving Quadratic Equations by Graphing

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.2.10 Draw conclusions based on number concepts, algebraic properties, and/or relationships between expressions and numbers over complex numbers.

√ 33103.2.13 Analyze and evaluate contextual situations involving any type of number from the complex number system.

√ 33103.3.3 Determine and graph the inverse of a function with and without technology.

√ 33103.3.7 Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula.

Common Core Standards:

ACED.2 Create equations that describe numbers or relationships

FIF.4 (See Lesson 5-1)

AREI.4b Solve equations and inequalities in one variable

FIF.7a (See Lesson 5-1)

FIF.8a (See Lesson 5-1)

Resources/Activities

ENRICHMENT: Solving Quadratic Equations.

LESSON: Solving by Graphing

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/introduction-to-the-quadratic-equation?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quadratic-functions-1

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quadratic-functions-2

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quadratic-functions-3

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/graphing-a-quadratic-function

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_5-2b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11121            Graphing and Solving Quadratics

Learning Activity -     A11122                 Quiz: Graphing and Solving Quadratics

 

Section 5-3: Solving Quadratic Functions by Factoring

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.3.7 Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula.

√ 33103.3.9 Find an equation for a parabola when given its graph or when given its roots.

Common Core Standards:

AAPR.1 Perform arithmetic operations on polynomials

AAPR.4 Use polynomial identities to solve problems

ACED.1 Create equations that describe numbers or relationships

ASSE.2 Interpret the structure of expressions

ASSE.3a Write expressions in equivalent forms to solve problems

FIF.8a (See Lesson 5-1)

AREI.4b (See Lesson 5-2)

Resources/Activities

LESSON: Factoring Polynomials

LESSON: Solving by Factoring

RESOURCE: Factoring

RESOURCE: Solving Equations

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factor-polynomials-using-the-gcf

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-quadratic-expressions

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l1-t2-we3-factoring-trinomials-by-grouping-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-4

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-5

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factor-by-grouping-and-factoring-completely

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-leading-1-coefficient

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-common-factor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-special-products

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l2-t1-we1-factoring-special-products-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-special-products-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l2-t1-we3-factoring-special-products-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-perfect-square-trinomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factor-polynomials-using-the-gcf

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-quadratic-expressions

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l1-t2-we3-factoring-trinomials-by-grouping-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-4

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-by-grouping-5

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factor-by-grouping-and-factoring-completely

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-leading-1-coefficient

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-common-factor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-special-products

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l2-t1-we1-factoring-special-products-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-special-products-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/u09-l2-t1-we3-factoring-special-products-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-perfect-square-trinomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-sum-of-cubes

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/factoring-the-difference-of-cubes

VIDEO: http://www.khanacademy.org/v/solving-a-quadratic-by-factoring?p=Algebra

VIDEO: http://www.khanacademy.org/v/introduction-to-the-quadratic-equation?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/solving-a-quadratic-by-factoring

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/factoring-quadratic-expressions

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/solving-quadratic-equations-by-factoring-avi

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/solving-quadratic-equations-by-factoring-2-avi

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/solving-quadratic-equations-by-factoring-3-avi

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11011            Introduction to Factoring Polynomials

Learning Activity -     A11012            Quiz: Introduction to Factoring Polynomials

Learning Activity -     A11021            Factoring ax2+bx+c

Learning Activity -     A11022            Quiz: Factoring ax2+bx+c

Learning Activity -     A11031            Factoring Special Products

Learning Activity -     A11032            Quiz: Factoring Special Products

Learning Activity -     a2230                       Factoring Polynomials

Learning Activity -     aqa2230               AQ: Factoring Polynomials

 

Section 5-4: Complex Numbers

State Performance Indicators:

SPI 3103.2.1 Describe any number in the complex number system.

SPI 3103.2.2 Compute with all real and complex numbers.

√ 3103.1.6 Use graphical representations to perform operations on complex numbers.

√ 33103.2.2 Define and give examples of each of the types of numbers in the complex number system.

√ 33103.2.4 Add and subtract complex numbers.

√ 33103.2.5 Multiply complex numbers.

√ 33103.2.6 Define and utilize the complex conjugates to write the quotient of two complex numbers in standard form.

√ 33103.2.7 Graph complex numbers in the complex plane and recognize differences and similarities with the graphical representations of real numbers graphed on the number line.

√ 33103.2.8 Solve quadratic equations over the complex number system.

√ 33103.2.9 Find and describe geometrically the absolute value of a complex number.

√ 33103.2.10 Draw conclusions based on number concepts, algebraic properties, and/or relationships between expressions and numbers over complex numbers.

√ 33103.2.13 Analyze and evaluate contextual situations involving any type of number from the complex number system.

Common Core Standards:

NCN.1 Perform arithmetic operations with complex numbers.

NCN.2 Perform arithmetic operations with complex numbers.

NCN.3 Perform arithmetic operations with complex numbers.

NCN.8 Use complex numbers in polynomial identities and equations.

Resources/Activities

LESSON: Classifying Complex Numbers

LESSON: Complex Number Properties.

RESOURCE:  Complex Numbers.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/i-and-imaginary-numbers?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/complex-numbers/v/complex-numbers--part-1

VIDEO: http://www.khanacademy.org/math/algebra/complex-numbers/v/complex-numbers--part-2

VIDEO: http://www.khanacademy.org/v/complex-numbers--part-1?p=Algebra

VIDEO: http://www.khanacademy.org/v/complex-numbers--part-2?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/complex-numbers/v/i-as-the-principal-root-of--1--a-little-technical

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11131        Simplifying Radicals and Complex Numbers

Learning Activity -     A11132    Quiz: Simplifying Radicals and Complex Numbers

Learning Activity -     a2140              Computation with Complex Numbers

Learning Activity -     aqa2140  AQ: Computation with Complex Numbers

Learning Activity -     a2150              Plotting Complex Numbers as Points

Learning Activity -     aqa2150      AQ: Plotting Complex Numbers as Points

 

Section 5-5: Completing the Square

State Performance Indicators:

SPI 3103.2.3 Use the number system, from real to complex, to solve equations and contextual problems.

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.3.7 Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula.

Common Core Standards:

AAPR.4 (See Lesson 5-3)

ACED.1 (See Lesson 5-3)

ASSE.2 (See Lesson 5-3)

ASSE.3a (See Lesson 5-3)

ASSE.3b Write expressions in equivalent forms to solve problems

FIF.8a (See Lesson 5-1)

NCN.7 Use complex numbers in polynomial identities and equations

AREI.4a Solve equations and inequalities in one variable

AREI.4b (See Lesson 5-2)

Resources/Activities

ENRICHMENT: Building Connections.

LESSON: Completing the Square

RESOURCE:  Solving Equations

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/completing-the-square?p=Algebra

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/completing-the-square

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/completing-the-square-1

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/completing-the-square-2

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/completing-the-square-3

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/completing-the-square-4

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/completing-the-square-to-solve-quadratic-equations

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/ca-algebra-i--completing-the-square

VIDEO:http://www.khanacademy.org/math/algebra/quadtratics/v/solving-quadratic-equations-by-completing-the-square

VIDEO: http://www.khanacademy.org/v/quadratic-formula--proof?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11151                 Completing the Square I

Learning Activity -     A11152            Quiz: Completing the Square I

Learning Activity -     A11153            Completing the Square II

Learning Activity -     A11154                 Quiz: Completing the Square II

 

Section 5-6: The Quadratic Formula and the Discriminant

State Performance Indicators:

SPI 3103.2.3 Use the number system, from real to complex, to solve equations and contextual problems.

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.2.8 Solve quadratic equations over the complex number system.

√ 33103.2.10 Draw conclusions based on number concepts, algebraic properties, and/or relationships between expressions and numbers over complex numbers.

√ 33103.3.10 Given a quadratic equation use the discriminant to determine the nature of the roots.

Common Core Standards:

AAPR.4 (See Lesson 5-3)

ACED.1 (See Lesson 5-3)

ACED.4 Create equations that describe numbers or relationships

ASSE.1b Interpret the structure of expressions

NCN.7 (See Lesson 5-5)

NCN.8 (See Lesson 5-4)

AREI.4a (See Lesson 5-5)

AREI.4b (See Lesson 5-2)

Resources/Activities

ENRICHMENT: Quadratic Formula

LESSON: Quadratic Formula

RESOURCE:  Solving Equations

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/using-the-quadratic-formula

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/proof-of-quadratic-formula

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/discriminant-of-quadratic-equations

VIDEO: http://www.khanacademy.org/v/quadratic-equation-part-2?p=Algebra

VIDEO: http://www.khanacademy.org/v/quadratic-formula--proof?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11161            The Quadratic Formula

Learning Activity -     A11162            Quiz: The Quadratic Formula

Learning Activity -     A11163            Finding the Discriminant

Learning Activity -     A11164                 Quiz: Finding the Discriminant

 

Section 5-7: Transformations with Quadratic Functions

State Performance Indicators:

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

√ 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs.

√ 33103.3.11 Describe and articulate the characteristics and parameters of a parent function.

√ 33103.5.2 Organize and display data using appropriate methods (including spreadsheets and technology tools) to detect patterns and departures from patterns.

Common Core Standards:

ACED.2 (See Lesson 5-2)

ASSE.1b (See Lesson 5-6)

FBF.3 Build new functions from existing functions

FIF.4 (See Lesson 5-1)

FIF.7a (See Lesson 5-1)

FIF.8a (See Lesson 5-1)

Resources/Activities

ENRICHMENT: Ball Bounce.

LESSON: Analyze Graphs

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/algebra-ii--shifting-quadratic-graphs?p=California%20Standards%20Test%3A%20Algebra%20II

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_5-7a.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2100              Reflections and Translations

Learning Activity -     aqa2100      AQ: Reflections and Translations

Learning Activity -     a2110              Stretches and Compressions

Learning Activity -     aqa2110      AQ: Stretches and Compressions

Learning Activity -     a2830          Web Activity: Transformation of Parent Functions

 

Section 5-8: Quadratic Inequalities

State Performance Indicators:

SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.

√ 33103.3.9 Find an equation for a parabola when given its graph or when given its roots.

Common Core Standards:

ACED.1 (See Lesson 5-3)

ACED.3 Create equations that describe numbers or relationships

Resources/Activities

LESSON: Graphing Calculator Investigation

RESOURCE: Solving Inequalities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/quadratic-inequalities?p=Algebra

VIDEO:: http://www.khanacademy.org/v/quadratic-inequalities--visual-explanation?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2160           Solving Quadratic Equations and Inequalities

 

Chapter 6: Polynomials and Polynomial Functions (Sections 6-1/6-4) (7 Days for instruction, review and assessment)

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.3.1 Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions.

 

Section 6-1: Operations with Polynomials

State Performance Indicators:

SPI 3103.3.1 Add, subtract and multiply polynomials; divide a polynomial by a lower degree polynomial.

Common Core Standards:

AAPR.1 Perform arithmetic operations on polynomials

Resources/Activities

ENRICHMENT RESOURCE: Polynomials

LESSON: Monomials

RESOURCE: Exponents

RESOURCE: Multiplying Polynomials

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/adding-polynomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/adding-polynomials-with-multiple-variables

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/subtracting-polynomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/subtracting-polynomials-with-multiple-variables

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/adding-and-subtracting-polynomials-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/adding-and-subtracting-polynomials-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/adding-and-subtracting-polynomials-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/addition-and-subtraction-of-polynomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/multiplying-monomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/level-1-multiplying-expressions

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/dividing-monomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/multiplying-and-dividing--monomials-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/multiplying-and-dividing-monomials-2

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/multiplying-and-dividing-monomials-3

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/multiplying-binomials

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/square-a-binomial

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/special-products-of-binomials

VIDEO: http://www.khanacademy.org/v/level-1-multiplying-expressions?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1911          Product Properties of Exponents

Learning Activity -     A1912              Quiz: Product Properties of Exponents

Learning Activity -     A1913              Integer Exponents

Learning Activity -     A1914              Quiz: Integer Exponents

Learning Activity -     A1915              Quotient Properties of Exponents

Learning Activity -     A1916              Quiz: Quotient Properties of Exponents

Learning Activity -     A1921              Adding and Subtracting Polynomials

Learning Activity -     A1922              Quiz: Adding and Subtracting Polynomials

Learning Activity -     a2180              Adding and Subtracting Polynomials

Learning Activity -     A1923              Multiplying Polynomials

Learning Activity -     A1924              Quiz: Multiplying Polynomials

Learning Activity -     a2190              Multiplying Polynomials

Learning Activity -     aqa2190  AQ: Multiplying Polynomials

Learning Activity -     A1931              Special Products of Binomials

Learning Activity -     A1932          Quiz: Special Products of Binomials

 

Section 6-2: Dividing Polynomials

State Performance Indicators:

SPI 3103.3.1 Add, subtract and multiply polynomials; divide a polynomial by a lower degree polynomial.

√ 33103.3.1 Perform operations on algebraic expressions and justify the procedures.

√ 33103.3.21 Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping.

Common Core Standards:

AAPR.6 Rewrite rational expressions

Resources/Activities

LESSON: Dividing Polynomials

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/dividing-polynomials-1

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/algebraic-long-division

VIDEO:http://www.khanacademy.org/math/algebra/polynomials/v/dividing-polynomials-with-remainders

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11441         Dividing Polynomials

Learning Activity -     A11442    Quiz: Dividing Polynomials

Learning Activity -     a2210              Dividing Polynomials

Learning Activity -     a2215              Activity Quiz: Dividing Polynomials

Learning Activity -     pc200               Synthetic Division and the Remainder Theorem

Learning Activity -     aqpc200   AQ: Synthetic Division and the Remainder Theorem

Learning Activity -     pc200               Synthetic Division and the Remainder Theorem

Learning Activity -     aqpc200        AQ: Synthetic Division and the Remainder Theorem

 

Section 6-3: Polynomial Functions

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.3.22 Determine the number and possible types of zeros for a polynomial function and find the rational roots.

√ 33103.3.23 Understand the connection between the roots, zeros, x-intercepts, factors of polynomials, and solutions of polynomial equations.

√ 33103.5.2 Organize and display data using appropriate methods (including spreadsheets and technology tools) to detect patterns and departures from patterns.

Common Core Standards:

ACED.2 Create equations that describe numbers or relationships

FLE.1 Construct and compare linear, quadratic, and exponential models and solve problems

FIF.4 Interpret functions that arise in applications in terms of the context

FIF.5 Interpret functions that arise in applications in terms of the context

FIF.7c Analyze functions using different representations

FIF.9 Analyze functions using different representations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2260              Graphing Polynomial Functions

Learning Activity -     aqa2260  AQ: Graphing Polynomial Functions

Learning Activity -     pc230               Graphing Polynomial Functions

Learning Activity -     aqpc230        AQ: Graphing Polynomial Functions

 

Section 6-4: Analyzing Graphs and Polynomial Functions

State Performance Indicators:

SPI 3103.1.3 Use technology tools to identify and describe patterns in data using non-linear and transcendental functions that approximate data as well as using those functions to solve contextual problems.

√ 33103.3.22 Determine the number and possible types of zeros for a polynomial function and find the rational roots.

√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.

Common Core Standards:

ACED.2 (See Lesson 6-3)

ASSE.1b Interpret the structure of expressions

FIF.4 (See Lesson 6-3)

FIF.7c (See Lesson 6-3)

Resources/Activities

ENRICHMENT: How to weigh an alligator.

ENRICHMENT: Correlation Does Not Equal Causation.

LESSON: Line of Best Fit.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/video/interesting-polynomial-coefficient-problem?playlist=Algebra

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_6-4b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2240              Finding Real Roots

Learning Activity -     aqa2240      AQ: Finding Real Roots

Learning Activity -     a2260              Graphing Polynomial Functions

Learning Activity -     aqa2260      AQ: Graphing Polynomial Functions

Learning Activity -     pc040               End Behavior of a Function

Learning Activity -     aqpc040       AQ: End Behavior of a Function

Learning Activity -     pc220               Maxima and Minima of a Polynomial Function

Learning Activity -     aqpc220       AQ: Maxima and Minima of a Polynomial Function

Learning Activity -     pc230               Graphing Polynomial Functions

Learning Activity -     aqpc230       AQ: Graphing Polynomial Functions

 

Second Nine weeks (46 Days)

Chapter 6: Polynomials and Polynomial Functions (Sections 6-5/6-8) (12 Days for instruction, review and assessment)

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.3.1 Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions.

 

Section 6-5: Solving Polynomial Equations

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.3.21 Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping.

Common Core Standards:

ACED.1 Create equations that describe numbers or relationships

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_6-5b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2240              Finding Real Roots

Learning Activity -     aqa2240      AQ: Finding Real Roots

 

Section 6-6: The Remainder and Factor Theorems

State Performance Indicators:

√ 33103.3.21 Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping.

Common Core Standards:

AAPR.2 Understand the relationship between zeros and factors of polynomials

ACED.1 (See Lesson 6-5)

FIF.7c (See Lesson 6-3)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     pc200               Synthetic Division and the Remainder Theorem

Learning Activity -     aqpc200      AQ: Synthetic Division and the Remainder Theorem

Learning Activity -     pc200               Synthetic Division and the Remainder Theorem

Learning Activity -     aqpc200      AQ: Synthetic Division and the Remainder Theorem

Learning Activity -     a2220              Remainder Theorem and Factor Theorem

Learning Activity -     aqa2220      AQ: Remainder Theorem and Factor Theorem

Learning Activity -     pc210               Theorems About Roots

Learning Activity -     aqpc210       AQ: Theorems About Roots

 

Section 6-7: Roots and Zeros

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.3.12 Understand the relationship between real zeros of a function and the x-intercepts of its graph.

√ 33103.3.22 Determine the number and possible types of zeros for a polynomial function and find the rational roots.

√ 33103.3.23 Understand the connection between the roots, zeros, x-intercepts, factors of polynomials, and solutions of polynomial equations.

Common Core Standards:

AAPR.3 Understand the relationship between zeros and factors of polynomials

ACED.1 (See Lesson 6-6)

FIF.4 (See Lesson 6-3)

FIF.7c (See Lesson 6-3)

NCN.9 Use complex numbers in polynomial identities and equations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2240              Finding Real Roots

Learning Activity -     aqa2240      AQ: Finding Real Roots

Learning Activity -     a2250              Fundamental Theorem of Algebra

Learning Activity -     aqa2250      AQ: Fundamental Theorem of Algebra

 

Section 6-8: Rational Zero Theorem

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

√ 33103.3.22 Determine the number and possible types of zeros for a polynomial function and find the rational roots.

Resources/Activities

ENRICHMENT: Rational Zero Theorem

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2240          Finding Real Roots

Learning Activity -     aqa2240      AQ: Finding Real Roots

Learning Activity -     a2250              Fundamental Theorem of Algebra

Learning Activity -     aqa2250      AQ: Fundamental Theorem of Algebra

 

Chapter 7: Inverses and Radical Functions and Relations (14 Days for instruction, review and assessment)

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.3.1 Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions.

 

Section 7-1: Operations on Functions

State Performance Indicators:

SPI 3103.3.6 Combine functions (such as polynomial, rational, radical and absolute value expressions) by addition, subtraction, multiplication, division, or by composition and evaluate at specified values of their variables.

√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.

Common Core Standards:

FBF.1b Build a function that models a relationship between two quantities

FBF.1c Build a function that models a relationship between two quantities

FBF.4b Build new functions from existing functions

FIF.9 (See Lesson 6-3)

Resources/Activities

RESOURCE: Operations on Functions

RESOURCE:  Functions

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/introduction-to-functions?p=Algebra

VIDEO: http://www.khanacademy.org/v/functions-part-2?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/sum-of-functions

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/difference-of-functions

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/product-of-functions

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/quotient-of-functions

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2010              Function Notation and Computation

Learning Activity -     aqa2010      AQ: Function Notation and Computation

Learning Activity -     a2020              Domain and Range of a Function

Learning Activity -     aqa2020      AQ: Domain and Range of a Function

Learning Activity -     a2120              Composition of Functions

Learning Activity -     aqa2120      AQ: Composition of Functions

 

Section 7-2: Inverse Functions and Relations

State Performance Indicators:

SPI 3103.3.7 Identify whether a function has an inverse, whether two functions are inverses of each other, and/or explain why their graphs are reflections over the line y = x.

√ 33103.3.3 Determine and graph the inverse of a function with and without technology.

Common Core Standards:

FBF.4a Build new functions from existing functions

FIF.4 (See Lesson 6-3)

FIF.5 (See Lesson 6-3)

Resources/Activities

LESSON: What is the Inverse of a Function?

LESSON: Inverse Functions.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/introduction-to-function-inverses?p=Algebra

VIDEO: http://www.khanacademy.org/v/function-inverse-example-1?p=Algebra

VIDEO: http://www.khanacademy.org/v/function-inverses-example-2?p=Algebra

VIDEO: http://www.khanacademy.org/v/function-inverses-example-3?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_7-2b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2130              Inverse Functions

Learning Activity -     aqa2130      AQ: Inverse Functions

 

Section 7-3: Square Root Functions and Inequalities

State Performance Indicators:

SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

√ 33103.2.11 Understand the capabilities and limitations of technology. Make estimations without a calculator to detect potential errors.

√ 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs.

Common Core Standards:

ACED.2 (See Lesson 6-3)

FBF.3 Build new functions from existing functions

FIF.1 Understand the concept of a function and use function notation

FIF.4 (See Lesson 6-3)

FIF.5 (See Lesson 6-3)

FIF.7b Analyze functions using different representations

FIF.9 (See Lesson 6-3)

Resources/Activities

RESOURCE: Solving Inequalities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/graphs-of-square-root-functions

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11321        Graphing Square Root Functions

Learning Activity -     A11322    Quiz: Graphing Square Root Functions

Learning Activity -     a2360              Graphing Radical Functions

Learning Activity -     aqa2360       AQ: Graphing Radical Functions

 

Section 7-4: nth Roots

State Performance Indicators:

√ 33103.3.6 Simplify expressions and solve equations containing radicals.

Common Core Standards:

ASSE.2 Interpret the structure of expressions

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_7-4b.swf

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/radical-expressions-with-higher-roots

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/more-simplifying-radical-expressions

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2330              Simplifying Radical Expressions

Learning Activity -     a2335          Activity Quiz: Simplifying Radical Expressions

 

Section 7-5: Operations with Radical Expressions

State Performance Indicators:

√ 33103.3.1 Perform operations on algebraic expressions and justify the procedures.

√ 33103.3.6 Simplify expressions and solve equations containing radicals.

Common Core Standards:

ASSE.2 (See Lesson 7-4)

Resources/Activities

LESSON: Roots of Real Numbers

LESSON: Radical Expressions

LESSON: Multiply

RESOURCE: Radicals

RESOURCE:  Rationalizing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2330              Simplifying Radical Expressions

Learning Activity -     a2335          Activity Quiz: Simplifying Radical Expressions

 

Section 7-6: Rational Exponents

State Performance Indicators:

√ 33103.3.6 Simplify expressions and solve equations containing radicals.

Common Core Standards:

NRN.1 Extend the properties of exponents to rational exponents

NRN.2 Extend the properties of exponents to rational exponents

Resources/Activities

LESSON: Rational Exponents

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2340              Simplifying Expressions with Rational Exponents

Learning Activity -     aqa2340      AQ: Simplifying Expressions with Rational Exponents

 

Section 7-7: Solving Radical Equations and Inequalities

State Performance Indicators:

SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

√ 33103.3.6 Simplify expressions and solve equations containing radicals.

Common Core Standards:

AREI.2 Understand solving equations as a process of reasoning and explain the process

Resources/Activities

LESSON: Radical Equations/Inequalities

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/exponents-radicals/v/solving-radical-equations-1

VIDEO: http://www.khanacademy.org/math/algebra/exponents-radicals/v/solving-radical-equations-2

VIDEO: http://www.khanacademy.org/math/algebra/exponents-radicals/v/solving-radical-equations-3

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/extraneous-solutions-to-radical-equations

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/radical-equation-examples

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/more-involved-radical-equation-example

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_7-7b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11311    Solving Radical Equations

Learning Activity -     A11312    Quiz: Solving Radical Equations

Learning Activity -     a2350              Radical Equations and Inequalities

Learning Activity -     aqa2350  AQ: Radical Equations and Inequalities

Learning Activity -     a2360              Graphing Radical Functions

Learning Activity -     aqa2360       AQ: Graphing Radical Functions

 

Chapter 8: Exponential and Logarithmic Functions and Relations (14 Days for instruction, review and assessment)

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

 

Section 8-1: Graphing Exponential Functions

State Performance Indicators:

SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

SPI 3103.3.13 Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations.

√ 33103.3.11 Describe and articulate the characteristics and parameters of a parent function.

√ 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions.

Common Core Standards:

ACED.2 Create equations that describe numbers or relationships

FBF.1b Build a function that models a relationship between two quantities

FBF.3 Build new functions from existing functions

FLE.1a Construct and compare linear, quadratic, and exponential models and solve problems

FLE.1c Construct and compare linear, quadratic, and exponential models and solve problems

FLE.3 Construct and compare linear, quadratic, and exponential models and solve problems

FIF.4 Interpret functions that arise in applications in terms of the context

FIF.5 Interpret functions that arise in applications in terms of the context

FIF.7e Analyze functions using different representations

FIF.8b Analyze functions using different representations

FIF.9 Analyze functions using different representations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/graphing-exponential-functions

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2370          Exponential Functions and Graphs

Learning Activity -     aqa2370  AQ: Exponential Functions and Graphs

Learning Activity -     a2380              Logarithmic Functions and Graphs

Learning Activity -     aqa2380  AQ: Logarithmic Functions and Graphs

 

Section 8-2: Solving Exponential Equations and Inequalities

State Performance Indicators:

√ 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions.

Common Core Standards:

ACED.1 Create equations that describe numbers or relationships

ASSE.2 Interpret the structure of expressions

FLE.4 Construct and compare linear, quadratic, and exponential models and solve problems

ASSE1.b Interpret the structure of expressions

ASSE.3c Write expressions in equivalent forms to solve problems

FIF.8a Analyze functions using different representations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

GLENCOE CLACULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_8-2a.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2400              Solving Exponential Equations and Inequalities

Learning Activity -     aqa2400  AQ: Solving Exponential Equations and Inequalities

 

Section 8-3: Logarithms and Logarithmic Functions

State Performance Indicators:

SPI 3103.1.3 Use technology tools to identify and describe patterns in data using non-linear and transcendental functions that approximate data as well as using those functions to solve contextual problems.

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

√ 3103.1.8 Understand and describe the inverse relationship between exponential and logarithmic functions.

√ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.

√ 33103.3.17 Know that the logarithm and exponential functions are inverses and use this information to solve real-world problems.

Common Core Standards:

ACED.2 (See Lesson 8-1)

ASSE.2 (See Lesson 8-2)

FBF.3 (See Lesson 8-1)

FBF.5 Build new functions from existing functions

FIF.4 (See Lesson 8-1)

FIF.5 (See Lesson 8-1)

FIF.7e (See Lesson 8-1)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithms

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_8-3b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2100              Reflections and Translations

Learning Activity -     aqa2100  AQ: Reflections and Translations

Learning Activity -     a2110              Stretches and Compressions

Learning Activity -     aqa2110  AQ: Stretches and Compressions

Learning Activity -     a2370              Exponential Functions and Graphs

Learning Activity -     aqa2370  AQ: Exponential Functions and Graphs

Learning Activity -     a2380              Logarithmic Functions and Graphs

Learning Activity -     aqa2380  AQ: Logarithmic Functions and Graphs

Learning Activity -     pc280               Logarithmic Functions and Graphs

 

Section 8-4: Solving Logarithmic Equations and Inequalities

State Performance Indicators:

33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.

Common Core Standards:

ACED.1 (See Lesson 8-2)

ASSE.2 (See Lesson 8-2)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/solving-logarithmic-equations

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/logarithmic-equations

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/solving-logarithmic-equations

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2410              Solving Logarithmic Equations and Inequalities

Learning Activity -     aqa2410  AQ: Solving Logarithmic Equations and Inequalities

 

Section 8-5: Properties of Logarithms

State Performance Indicators:

√ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.

Common Core Standards:

ACED.1 (See Lesson 8-2)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/logarithm-of-a-power

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/sum-of-logarithms-with-same-base

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithm-properties

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithm-properties--part-2

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/using-multiple-logarithm-properties-to-simplify

VIDEO: http://www.khanacademy.org/v/proof--log-a---log-b---log-ab?p=Algebra

VIDEO: http://www.khanacademy.org/v/proof--a-log-b----log--b-a---log-a---log-b---log--a-b?p=Algebra

VIDEO: http://www.khanacademy.org/v/proof--log-a--b-----log-x--b----log-x--a?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2390              Properties of Logarithms

Learning Activity -     a2395          Activity Quiz: Properties of Logarithms

 

Section 8-6: Common Logarithms

State Performance Indicators:

√ 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions.

√ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.

Common Core Standards:

ACED.1 (See Lesson 8-2)

FLE.4 (See Lesson 8-2)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/change-of-base-formula

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_8-6b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2410              Solving Logarithmic Equations and Inequalities

Learning Activity -     aqa2410  AQ: Solving Logarithmic Equations and Inequalities

 

Section 8-7: Base e and Natural Logarithms

State Performance Indicators:

√ 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions.

√ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.

Common Core Standards:

ASSE.2 (See Lesson 8-2)

FLE.4 (See Lesson 8-2)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/natural-logarithm-with-a-calculator

VIDEO:http://www.khanacademy.org/math/algebra/logarithms/v/calculator-for-natural-logarithms

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     pc300             Exponential Functions with Base e & Natural Logarithms

 

Section 8-8: Using Exponential and Logarithmic Functions

State Performance Indicators:

√ 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions.
√ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.

√ 33103.5.6 Use technology to find the appropriate regression equation for both linear and non-linear data.

Common Core Standards:

ACED.1 (See Lesson 8-2)

ACED.2 (See Lesson 8-1)

ACED.3 Create equations that describe numbers or relationships

ASSE.2 (See Lesson 8-2)

FBF.1b (See Lesson 8-1)

FLE.1c (See Lesson 8-1)

FLE.4 (See Lesson 8-2)

FIF.4 (See Lesson 8-1)

FIF.8b (See Lesson 8-1)

Resources/Activities

ENRICHMENT: Exponential Growth

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11211            Exponential Growth

Learning Activity -     A11212            Quiz: Exponential Growth

Learning Activity -     A11213            Exponential Decay

Learning Activity -     A11214            Quiz: Exponential Decay

Learning Activity -     A11221            Exponential Functions and Compound Interest

Learning Activity -     A11222                 Quiz: Exponential Functions and Compound Interest

 

1st Semester Exam Review and Semester Exams (6 Days for review and assessment)

 

Third Nine Weeks (47 Days)

Chapter 9: Rational Functions and Relations (9 Days for instruction, review and assessment)

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.3.2 Understand, analyze, transform and generalize mathematical patterns, relations and functions using properties and various representations.

CLE 3103.3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph.

 

Section 9-1: Multiplying and Dividing Rational Expressions

State Performance Indicators:

SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

√ 33103.3.1 Perform operations on algebraic expressions and justify the procedures.

Common Core Standards:

AAPR.1 Perform arithmetic operations on polynomials

AAPR.7 Rewrite rational expressions

NRN.3 Use properties of rational and irrational numbers.

Resources/Activities

LESSON: Add and Subtract Rational Expressions.

RESOURCE: Simplifying Rational Expressions

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/simplifying-rational-expressions-introduction

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/multiplying-and-dividing-rational-expressions

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11431            Simplifying Rational Expressions

Learning Activity -     A11432            Quiz: Simplifying Rational Expressions

Learning Activity -     A11441            Dividing Polynomials

Learning Activity -     A11442            Quiz: Dividing Polynomials

Learning Activity -     A11451            Multiplying and Dividing Rational Expressions

Learning Activity -     A11452            Quiz: Multiplying and Dividing Rational Expressions

Learning Activity -     a2210                       Dividing Polynomials

Learning Activity -     a2215                       Activity Quiz: Dividing Polynomials

Learning Activity -     a2270                       Negative Exponents

Learning Activity -     aqa2270          AQ: Negative Exponents

Learning Activity -     A11451            Multiplying and Dividing Rational Expressions

Learning Activity -     A11452            Quiz: Multiplying and Dividing Rational Expressions

Learning Activity -     a11634            Web Activity: Rational Expressions and Polynomial Division

Learning Activity -     a2280                       Operations with Rational Expressions

Learning Activity -     a2285                       Activity Quiz: Operations with Rational Expressions

Learning Activity -     a2290                       Simplifying Complex Fractions

Learning Activity -     aqa2290               AQ: Simplifying Complex Fractions

Learning Activity -     A11471            Mixed Expressions and Complex Fractions

Learning Activity -     A11472                 Quiz: Mixed Expressions and Complex Fractions

 

Section 9-2: Adding and Subtracting Rational Expressions

State Performance Indicators:

SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

√ 33103.3.1 Perform operations on algebraic expressions and justify the procedures.

Common Core Standards:

AAPR.7 (See Lesson 9-1)

NRN.3 (See Lesson 9-1)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/adding-rational-expressions-example-1

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/adding-rational-expressions-example-2

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/adding-rational-expressions-example-3

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11461            Adding and Subtracting Rational Expressions

Learning Activity -     A11462                 Quiz: Adding and Subtracting Rational Expressions

 

Section 9-3: Graphing Reciprocal Functions

State Performance Indicators:

SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

√ 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs.

Common Core Standards:

ACED.2 (See Lesson 8-1)

FBF.3 Build new functions from existing functions

FIF.1 Understand the concept of a function and use function notation

FIF.4 Interpret functions that arise in applications in terms of the context

FIF.5 Interpret functions that arise in applications in terms of the context

FIF.7d Analyze functions using different representations

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11421                 Graphing Rational Functions

Learning Activity -     A11422            Quiz: Graphing Rational Functions

Learning Activity -     a2320                       Graphing Rational Functions

Learning Activity -     a2360                       Graphing Radical Functions

Learning Activity -     aqa2360          AQ: Graphing Radical Functions

Learning Activity -     a2870                       Web Activity: Graphing Rational Functions

Learning Activity -     pc250                        Asymptotes of Rational Functions

Learning Activity -     aqpc250           AQ: Asymptotes of Rational Functions

Learning Activity -     pc260                        Graphing Rational Functions

Learning Activity -     aqpc260           AQ: Graphing Rational Functions

 

Section 9-4: Graphing Rational Functions

State Performance Indicators:

SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.

Common Core Standards:

AAPR.7 (See Lesson 9-1)

ACED.2 Create equations that describe numbers or relationships

FIF.4 (See Lesson 9-3)

FIF.5 (See Lesson 9-3)

FIF.7d (See Lesson 9-3)

FIF.9 Analyze functions using different representations

Resources/Activities

LESSON: Graphing Rational Functions

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/asymptotes-of-rational-functions

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/another-rational-function-graph-example

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/a-third-example-of-graphing-a-rational-function

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_9-4b.swf

 

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

Learning Activity -     A11421            Graphing Rational Functions

Learning Activity -     A11422            Quiz: Graphing Rational Functions

Learning Activity -     a2320                       Graphing Rational Functions

Learning Activity -     a2360                       Graphing Radical Functions

Learning Activity -     aqa2360          AQ: Graphing Radical Functions

Learning Activity -     a2870                       Web Activity: Graphing Rational Functions

Learning Activity -     pc250                        Asymptotes of Rational Functions

Learning Activity -     aqpc250           AQ: Asymptotes of Rational Functions

Learning Activity -     pc260                        Graphing Rational Functions

 

Section 9-5: Variation Functions

Common Core Standards:

ACED.2 (See Lesson 9-4)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/direct-variation-1

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/proportionality-constant-for-direct-variation

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/direct-variation-application

VIDEO: http://www.khanacademy.org/v/direct-and-inverse-variation?p=Algebra

VIDEO: http://www.khanacademy.org/v/recognizing-direct-and-inverse-variation?p=Algebra

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/direct-inverse-and-joint-variation

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/inverse-variation-application

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11411            Inverse Variation

Learning Activity -     A11412            Quiz: Inverse Variation

Learning Activity -     a2310                       Direct, Inverse, and Joint Variation

Learning Activity -     a2315                   Activity Quiz: Direct, Inverse, and Joint Variation

 

Section 9-6: Solving Rational Equations and Inequalities

State Performance Indicators:

SPI 3103.1.4 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely to effectively communicate reasoning in the process of solving problems via mathematical modeling with both linear and non-linear functions.

SPI 3103.3.13 Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations.

√ 3103.1.4 Identify the weaknesses of calculators and other technologies in representing non-linear data, such as graphs approaching vertical asymptotes, and use alternative techniques to identify these issues and correctly solve problems.

Common Core Standards:

AAPR.7 (See Lesson 9-1)

ACED.1 Create equations that describe numbers or relationships

ACED.3 Create equations that describe numbers or relationships

AREI.2 Understand solving equations as a process of reasoning and explain the process

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/solving-rational-equations

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/two-more-examples-of-solving-rational-equations

VIDEO: http://www.khanacademy.org/v/rational-inequalities?p=Algebra

VIDEO: http://www.khanacademy.org/video/rational-inequalities-2?playlist=Algebra

VIDEO: http://www.khanacademy.org/v/rational-inequalities-2?p=Algebra

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_9-6b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A11481            Solving Rational Equations

Learning Activity -     A11482            Quiz: Solving Rational Equations

Learning Activity -     a11635            Web Activity: Rational and Mixed Expressions and Equations

Learning Activity -     a2300                       Rational Equations and Inequalities

Learning Activity -     aqa2300               AQ: Rational Equations and Inequalities

 

Chapter 10: Conic Sections (13 Days for instruction, review and assessment)

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

 

Section 10-1: Midpoint and Distance Formulas

Resources/Activities

LESSON: Midpoint

LESSON: Distance

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/midpoint-formula

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/distance-formula

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     GE351              The Midpoint and Distance Formula

Learning Activity -     GE352          Quiz: The Midpoint and Distance Formula

 

Section 10-2: Parabolas

State Performance Indicators:

SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.

√ 33103.3.20 Understand the relationships between the equations of conic sections and their graphs.

Common Core Standards:

ACED.2 (See Lesson 9-2)

ASSE.1b Interpret the structure of expressions

FBF.3 Build new functions from existing functions

FIF.4 Interpret functions that arise in applications in terms of the context

FIF.7a Analyze functions using different representations

Resources/Activities

LESSON: Parabolas

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/introduction-to-conic-sections?p=Algebra

VIDEO: http://www.khanacademy.org/v/parabola-focus-and-directrix-1?p=Algebra

VIDEO: http://www.khanacademy.org/video/focus-and-directrix-of-a-parabola-2?playlist=Algebra

VIDEO: http://www.khanacademy.org/v/focus-and-directrix-of-a-parabola-2?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/


 Learning Activity -     a2560         Parabolas, Circles, Ellipses and Hyperbolas

Learning Activity -     aqa2560       AQ: Parabolas, Circles, Ellipses and Hyperbolas

 

Section 10-3: Circles

State Performance Indicators:

SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.

√ 33103.3.20 Understand the relationships between the equations of conic sections and their graphs.

Common Core Standards:

ACED.2 (See Lesson 9-2)

ACED.4 Create equations that describe numbers or relationships

ASSE.1b (See Lesson 10-2)

Resources/Activities

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/conic-sections--intro-to-circles?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2560              Parabolas, Circles, Ellipses and Hyperbolas

Learning Activity -     aqa2560      AQ: Parabolas, Circles, Ellipses and Hyperbolas

 

Section 10-4: Ellipses

State Performance Indicators:

SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.

√ 33103.3.20 Understand the relationships between the equations of conic sections and their graphs.

Common Core Standards:

ACED.2 (See Lesson 9-2)

ASSE.1b (See Lesson 10-2)

Resources/Activities

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/conic-sections--intro-to-ellipses?p=Algebra

VIDEO: http://www.khanacademy.org/v/foci-of-an-ellipse?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2560          Parabolas, Circles, Ellipses and Hyperbolas

Learning Activity -     aqa2560      AQ: Parabolas, Circles, Ellipses and Hyperbolas

 

Section 10-5: Hyperbolas

State Performance Indicators:

SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.

√ 33103.3.20 Understand the relationships between the equations of conic sections and their graphs.

Common Core Standards:

ACED.2 (See Lesson 9-2)

ASSE.1b (See Lesson 10-2)

Resources/Activities

LESSON: Hyperbolas

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/conic-sections--intro-to-hyperbolas?p=Algebra

VIDEO: http://www.khanacademy.org/video/conic-sections--hyperbolas-2?playlist=Algebra

VIDEO: http://www.khanacademy.org/v/conic-sections--hyperbolas-3?p=Algebra

VIDEO: http://www.khanacademy.org/v/foci-of-a-hyperbola?p=Algebra

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2560              Parabolas, Circles, Ellipses and Hyperbolas

Learning Activity -     aqa2560      AQ: Parabolas, Circles, Ellipses and Hyperbolas

 

Section 10-6: Identifying Conic Sections

State Performance Indicators:

SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.

√ 33103.3.20 Understand the relationships between the equations of conic sections and their graphs.

Common Core Standards:

ASSE.1b (See Lesson 10-2)

FIF.7a Analyze functions using different representations

FIF.9 Analyze functions using different representations

Resources/Activities

LESSON: Conics

RESOURCE: Graphing

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/v/identifying-conics-1?p=Algebra

VIDEO: http://www.khanacademy.org/v/identifying-conics-2?p=Algebra

VIDEO: http://www.khanacademy.org/v/conic-identification-3?p=Algebra

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_10-6b.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2570             Review of Conic Sections

Learning Activity -     aqa2570       AQ: Review of Conic Sections

 

Section 10-7: Solving Linear-Nonlinear Systems

State Performance Indicators:

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.

SPI 3103.5.6 Find the regression curve that best fits both linear and non-linear data (using technology such as a graphing calculator) and use it to make predictions.

√ 3103.1.9 Translate the syntax of technology to appropriate mathematical notation for non-linear and transcendental functions.

Common Core Standards:

AREI.7 Solve systems of equations

AREI.11 Represent and solve equations and inequalities graphically

FIF.7a (See Lesson 10-6)

Resources/Activities

RESOURCE: Solving Systems

RESOURCE: Solving Inequalities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/conic-sections/v/non-linear-systems-of-equations-1

VIDEO: http://www.khanacademy.org/math/algebra/conic-sections/v/non-linear-systems-of-equations-2

VIDEO: http://www.khanacademy.org/math/algebra/conic-sections/v/non-linear-systems-of-equations-3  

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2490              Solving Nonlinear Systems of Equations

Learning Activity -     aqa2490       AQ: Solving Nonlinear Systems of Equations

 

Chapter 11: Sequences and Series (9 Days for instruction, review and assessment)

CLE 3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.

CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.

CLE 3103.2.3 Use appropriate technology (including graphing calculators and computer spreadsheets) to solve problems, recognize patterns and collect and analyze data.

 

Section 11-1: Sequences as Functions

State Performance Indicators:

√ 33103.3.14 Define and use arithmetic and geometric sequences and series including using sigma and pi notation.

√ 33103.5.9 Use data to detect patterns.

Common Core Standards:

FIF.4 Interpret functions that arise in applications in terms of the context

FLE.1b Construct and compare linear, quadratic, and exponential models and solve problems

FLE.2 Construct and compare linear, quadratic, and exponential models and solve problems

FLE.3 Construct and compare linear, quadratic, and exponential models and solve problems

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1661               Arithmetic Sequences

Learning Activity -     A1662               Quiz: Arithmetic Sequences

Learning Activity -     a2610               Series

Learning Activity -     aqa2610  AQ: Series

Learning Activity -     a2590               Arithmetic and Geometric Sequences

Learning Activity -     aqa2590  AQ: Arithmetic and Geometric Sequences

Learning Activity -     a2620               Arithmetic and Geometric Series

Learning Activity -     aqa2620  AQ: Arithmetic and Geometric Series

Learning Activity -     A11231    Geometric Sequences

Learning Activity -     A11232    Quiz: Geometric Sequences

Learning Activity -     pc140                Geometric Sequences and Series

Learning Activity -     pc145            Activity Quiz: Geometric Sequences and Series

 

Section 11-2: Arithmetic Sequences and Series

State Performance Indicators:

SPI 3103.3.4 Use the formulas for the general term and summation of finite arithmetic and both finite and infinite geometric series.

√ 33103.3.14 Define and use arithmetic and geometric sequences and series including using sigma and pi notation.

√ 33103.5.9 Use data to detect patterns.

Common Core Standards:

ACED.4 Create equations that describe numbers or relationships

FBF.1b Build a function that models a relationship between two quantities

FLE.2 (See Lesson 11-1)

FLE.3 (See Lesson 11-1)

Resources/Activities

ENRICHMENT: Arithmetic Sequences and Series

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-1

VIDEO:http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-2

VIDEO: http://www.khanacademy.org/math/algebra/solving-linear-equations/v/finding-the-100th-term-in-a-sequence

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1661               Arithmetic Sequences

Learning Activity -     A1662               Quiz: Arithmetic Sequences

Learning Activity -     a2610               Series

Learning Activity -     aqa2610  AQ: Series

Learning Activity -     a2590               Arithmetic and Geometric Sequences

Learning Activity -     aqa2590  AQ: Arithmetic and Geometric Sequences

Learning Activity -     a2620               Arithmetic and Geometric Series

Learning Activity -     aqa2620  AQ: Arithmetic and Geometric Series

Learning Activity -     A11231    Geometric Sequences

Learning Activity -     A11232    Quiz: Geometric Sequences

Learning Activity -     pc140                Geometric Sequences and Series

Learning Activity -     pc145            Activity Quiz: Geometric Sequences and Series

 

Section 11-3: Geometric Sequences and Series

State Performance Indicators:

SPI 3103.3.4 Use the formulas for the general term and summation of finite arithmetic and both finite and infinite geometric series.

√ 33103.3.14 Define and use arithmetic and geometric sequences and series including using sigma and pi notation.

√ 33103.5.9 Use data to detect patterns.

Common Core Standards:

ASSE.4 Write expressions in equivalent forms to solve problems

FBF.1b (See Lesson 11-2)

Resources/Activities

ENRICHMENT: Geometric Series

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/geometric-sequences--introduction

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1661               Arithmetic Sequences

Learning Activity -     A1662               Quiz: Arithmetic Sequences

Learning Activity -     a2610               Series

Learning Activity -     aqa2610  AQ: Series

Learning Activity -     a2590               Arithmetic and Geometric Sequences

Learning Activity -     aqa2590  AQ: Arithmetic and Geometric Sequences

Learning Activity -     a2620               Arithmetic and Geometric Series

Learning Activity -     aqa2620  AQ: Arithmetic and Geometric Series

Learning Activity -     A11231    Geometric Sequences

Learning Activity -     A11232    Quiz: Geometric Sequences

Learning Activity -     pc140                Geometric Sequences and Series

Learning Activity -     pc145            Activity Quiz: Geometric Sequences and Series

 

Section 11-4: Infinite Geometric Series

State Performance Indicators:

SPI 3103.3.4 Use the formulas for the general term and summation of finite arithmetic and both finite and infinite geometric series.

√ 33103.2.12 Select and use appropriate methods to make estimations without technology when solving contextual problems.

√ 33103.3.15 Find the sum of an geometric series whose common ratio, r, is in the interval (-1,1).

√ 33103.5.9 Use data to detect patterns.

Resources/Activities

ENRICHMENT: Infinite Geometric Series

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-2

VIDEO: http://www.khanacademy.org/v/algebra-ii--binomial-expansions--geometric-series-sum?p=California%20Standards%20Test%3A%20Algebra%20II

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     pc170               Infinite Geometric Series

Learning Activity -     aqpc170        AQ: Infinite Geometric Series

 

Section 11-5: Recursion and Iteration (Optional section for Honors Algebra II)

State Performance Indicators:

√ 33103.3.14 Define and use arithmetic and geometric sequences and series including using sigma and pi notation.

√ 33103.5.9 Use data to detect patterns.

Common Core Standards:

FBF.1a Build a function that models a relationship between two quantities

FBF.1b (See Lesson 11-2)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     pc010           Transformations

 

Section 11-6: The Binomial Theorem

State Performance Indicators:

SPI 3103.3.14 Solve problems involving the binomial theorem and its connection to Pascal’s Triangle, combinatorics, and probability.

√ 33103.3.14 Define and use arithmetic and geometric sequences and series including using sigma and pi notation.

√ 33103.5.9 Use data to detect patterns.

Common Core Standards:

AAPR.5 Use polynomial identities to solve problems

Resources/Activities

LESSON: Binomial Theorem.

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/precalculus/v/binomial-theorem--part-1

VIDEO:http://www.khanacademy.org/math/precalculus/v/binomial-theorem--part-2

VIDEO:http://www.khanacademy.org/math/precalculus/v/binomial-theorem--part-3

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2200              Binomial Theorem

Learning Activity -     aqa2200      AQ: Binomial Theorem

Learning Activity -     pc240               Binomial Theorem

Learning Activity -     aqpc240       AQ: Binomial Theorem

 

Section 11-7: Proof by Mathematical Induction (Optional section for Honors Algebra II)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/algebra-functions/v/proof-by-induction

 

 

Chapter 12: Probability and Statistics (12 Days for instruction, review and assessment)

CLE 3103.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.

CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.

3103.1.5 Determine the accuracy and reliability of a mathematical model.

CLE 3103.5.1 Describe, interpret, and apply quantitative data.

CLE 3103.5.2 Evaluate and critique various ways of collecting data and using information based on data published in the media.

CLE 3103.5.3 Use data and statistical thinking to draw inferences, make predictions, justify conclusions and identify and explain misleading uses of data.

CLE 3103.5.4 Develop an understanding of probability concepts in order to make informed decisions.

 

Section 12-1: Experiments, Surveys, and Observational Studies

State Performance Indicators:

SPI 3103.1.2 Recognize and describe errors in data collection and analysis as well as identifying representations of data as being accurate or misleading.

SPI 3103.5.2 Compare data sets using graphs and summary statistics.

SPI 3103.5.5 Determine differences between randomized experiments and observational studies.

√ 3103.1.2 Compare and contrast sampling techniques and identify the best technique for a given situation.

√ 3103.1.10 Interpret the results of mathematical modeling in various contexts to answer questions.

√ 33103.5.4 Understand the impact of various sampling methods and use them to draw valid conclusions.

√ 33103.5.10 Design simple experiments to collect data to answer questions of interest.

√ 33103.5.11 Evaluate published data by considering the source, the design of the study and the analysis and representation (or misrepresentation) of the data.

√ 33103.5.12 Investigate bias and the phrasing of questions during data acquisition to formulate reasonable conclusions.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/surveys-and-samples

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1611          Samples and Surveys

Learning Activity -     A1612              Quiz: Samples and Surveys

 

Section 12-2: Statistical Analysis

State Performance Indicators:

SPI 3103.5.1 Compute, compare and explain summary statistics for distributions of data including measures of center and spread.

SPI 3103.5.2 Compare data sets using graphs and summary statistics.

√ 3103.1.2 Compare and contrast sampling techniques and identify the best technique for a given situation.

√ 3103.1.10 Interpret the results of mathematical modeling in various contexts to answer questions.

√ 33103.5.4 Understand the impact of various sampling methods and use them to draw valid conclusions.

√ 33103.5.5 Calculate measures of central tendency and spread (variance and standard deviation).

√ 33103.5.10 Design simple experiments to collect data to answer questions of interest.

√ 33103.5.11 Evaluate published data by considering the source, the design of the study and the analysis and representation (or misrepresentation) of the data.

Resources/Activities

RESOURCE: Central Tendency

ENRICHMENT: Data Set Comparison

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/average-or-central-tendency--arithmetic-mean--median--and-mode

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     a2420              Measures of Central Tendency and Variation

Learning Activity -     aqa2420        AQ: Measures of Central Tendency and Variation

 

Section 12-3: Conditional Probability (Optional section for Honors Algebra II)

State Performance Indicators:

SPI 3103.5.8 Apply probability concepts such as conditional probability and independent events to calculate simple probability.

√ 33103.5.13 Apply both theoretical and experimental probability to analyze the likelihood of an event.

Resources/Activities

LESSON: Adding Probabilities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/probability/v/conditional-probability-and-combinations

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1441              Experimental and Theoretical Probability

Learning Activity -     A1442              Quiz: Experimental and Theoretical Probability

Learning Activity -     a2460              Experimental and Theoretical Probability

Learning Activity -     aqa2460  AQ: Experimental and Theoretical Probability

Learning Activity -     pc480           Random Variables and Probabiltiy

 

Section 12-4: Probability and Probability Distributions (Optional section for Honors Algebra II)

State Performance Indicators:

SPI 3103.5.1 Compute, compare and explain summary statistics for distributions of data including measures of center and spread.

Resources/Activities

ENRICHMENT: Probability

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     A1441              Experimental and Theoretical Probability

Learning Activity -      A1442             Quiz: Experimental and Theoretical Probability

Learning Activity -     a2460              Experimental and Theoretical Probability

Learning Activity -     aqa2460  AQ: Experimental and Theoretical Probability

Learning Activity -     pc480           Random Variables and Probabiltiy

 

Section 12-5: The Normal Distribution

State Performance Indicators:

SPI 3103.5.1 Compute, compare and explain summary statistics for distributions of data including measures of center and spread.

SPI 3103.5.4 Apply the characteristics of the normal distribution.

√ 3103.1.10 Interpret the results of mathematical modeling in various contexts to answer questions.

√ 33103.5.4 Understand the impact of various sampling methods and use them to draw valid conclusions.

√ 33103.5.8 Know the Empirical Rule for one, two and three standard deviations for a normal distribution.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/average-or-central-tendency--arithmetic-mean--median--and-mode

VIDEO: http://www.khanacademy.org/v/algebra-ii--mean-and-standard-deviation?p=California%20Standards%20Test%3A%20Algebra%20II

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     pc520               Normal Distributions

Learning Activity -     aqpc520   AQ: Normal Distributions

 

Section 12-6: Hypothesis Testing (Optional section for Honors Algebra II)

State Performance Indicators:

√ 3103.1.2 Compare and contrast sampling techniques and identify the best technique for a given situation.

√ 3103.1.10 Interpret the results of mathematical modeling in various contexts to answer questions.

√ 33103.5.4 Understand the impact of various sampling methods and use them to draw valid conclusions.

Resources/Activities

LESSON: Sampling and Error

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

 

Section 12-7: Binomial Distributions

State Performance Indicators:

SPI 3103.3.14 Solve problems involving the binomial theorem and its connection to Pascal’s Triangle, combinatorics, and probability.

√ 33103.5.13 Apply both theoretical and experimental probability to analyze the likelihood of an event.

Common Core Standards:

AAPR.5 (See Lesson 11-6)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/probability/v/binomial-distribution-1

VIDEO:http://www.khanacademy.org/math/probability/v/binomial-distribution-2

VIDEO:http://www.khanacademy.org/math/probability/v/binomial-distribution-3

VIDEO:http://www.khanacademy.org/math/probability/v/binomial-distribution-4

VIDEO:http://www.khanacademy.org/math/probability/v/expected-value--e-x

VIDEO:http://www.khanacademy.org/math/probability/v/expected-value-of-binomial-distribution

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     pc530               Binomial Distributions

Learning Activity -     aqpc530      AQ: Binomial Distributions

 

Chapter 13: Trigonometric Functions (Sections 13-1/13-3) (4 Days for instruction, review and assessment)

CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.4.1 Understand the trigonometric functions and their relationship to the unit circle.

CLE 3103.4.3 Graph all six trigonometric functions and identify their key characteristics.

CLE 3103.4.4 Know and use the Law of Sines to find missing sides and angles of a triangle, including the ambiguous case.

CLE 3103.4.5 Use trigonometric concepts, properties and graphs to solve problems.

 

Section 13-1: Trigonometric Functions in Right Triangles

State Performance Indicators:

√ 3103.1.7 Use the unit circle to determine the exact value of trigonometric functions for commonly used angles (0°, 30°, 45°, 60°…).

√ 33103.5.2 Organize and display data using appropriate methods (including spreadsheets and technology tools) to detect patterns and departures from patterns.

Common Core Standards:

FTF.1 Extend the domain of trigonometric functions using the unit circle

FTF.2 Extend the domain of trigonometric functions using the unit circle

Resources/Activities

LESSON: Right Triangle Trigonometry

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/basic-trigonometry

VIDEO:http://www.khanacademy.org/math/trigonometry/v/basic-trigonometry-ii

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     tr010         Right-Triangle Trigonometry

Learning Activity -     tr090         Sine and Cosine Functions

Learning Activity -     aqtr090    AQ: Sine and Cosine Functions

Learning Activity -     tr130         Cosecant and Secant Functions

Learning Activity -     aqtr130         AQ: Cosecant and Secant Functions

 

Section 13-2: Angles and Angle Measure

State Performance Indicators:

√ 33103.4.4 Understand the relationship between the radius, the central angle, and radian measure.

Common Core Standards:

FTF.1 (See Lesson 13-1)

FTF.2 (See Lesson 13-1)

Resources/Activities

ENRICHMENT: Angles and Angle Measure

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/radians-and-degrees

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     tr060         Measure Angles in Degrees and Radians

Learning Activity -     aqtr060         AQ: Measure Angles in Degrees and Radians

 

Section 13-3: Trigonometric Functions of General Angles

State Performance Indicators:

√ 3103.1.7 Use the unit circle to determine the exact value of trigonometric functions for commonly used angles (0°, 30°, 45°, 60°…).

√ 33103.4.1 Convert between radians and degrees and vice versa.

Common Core Standards:

FTF.1 Extend the domain of trigonometric functions using the unit circle

FTF.2 Extend the domain of trigonometric functions using the unit circle

Resources/Activities

LESSON: Unit Circle

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/using-trig-functions

VIDEO:http://www.khanacademy.org/math/trigonometry/v/using-trig-functions-part-ii

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     tr090         Sine and Cosine Functions

Learning Activity -     aqtr090    AQ: Sine and Cosine Functions

Learning Activity -     tr100         Tangent Functions

Learning Activity -     aqtr100         AQ: Tangent Functions

 

Fourth Nine Weeks (44 Days)

Chapter 13: Trigonometric Functions (Sections 13-4/13-8) (14 Days for instruction, review and assessment)

CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.

CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

CLE 3103.4.1 Understand the trigonometric functions and their relationship to the unit circle.

CLE 3103.4.3 Graph all six trigonometric functions and identify their key characteristics.

CLE 3103.4.4 Know and use the Law of Sines to find missing sides and angles of a triangle, including the ambiguous case.

CLE 3103.4.5 Use trigonometric concepts, properties and graphs to solve problems.

 

Section 13-4: Law of Sines

Common Core Standards:

FIF.4 Interpret functions that arise in applications in terms of the context

FTF.1 (See Lesson 13-2)

FTF.2 (See Lesson 13-2)

FTF.4 Extend the domain of trigonometric functions using the unit circle

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/proof--law-of-sines

VIDEO:http://www.khanacademy.org/math/trigonometry/v/ferris-wheel-trig-problem

VIDEO:http://www.khanacademy.org/math/trigonometry/v/ferris-wheel-trig-problem--part-2

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     tr020         Law of Sines

Learning Activity -     aqtr020        AQ: Law of Sines

 

Section 13-5: Law of Cosines

Common Core Standards:

FIF.4 Interpret functions that arise in applications in terms of the context

FTF.1 (See Lesson 13-2)

FTF.2 (See Lesson 13-2)

FTF.4 Extend the domain of trigonometric functions using the unit circle

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/law-of-cosines

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/


Learning Activity -     tr030         Law of Cosines

Learning Activity -     aqtr030       AQ: Law of Cosines

 

Section 13-6: Circular Functions

State Performance Indicators:

SPI 3103.4.1 Exhibit knowledge of unit circle trigonometry.

√ 3103.1.7 Use the unit circle to determine the exact value of trigonometric functions for commonly used angles (0°, 30°, 45°, 60°…).

√ 33103.4.3 Extend the trigonometric functions to periodic functions on the real line by defining them as functions on the unit circle.

Common Core Standards:

FIF.4 Interpret functions that arise in applications in terms of the context

FTF.1 (See Lesson 13-1)

FTF.2 (See Lesson 13-1)

FTF.4 Extend the domain of trigonometric functions using the unit circle

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/the-unit-circle-definition-of-trigonometric-function

VIDEO:http://www.khanacademy.org/math/trigonometry/v/unit-circle-definition-of-trig-functions

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     tr050         Right-Angle Relationships in the Unit Circle

Learning Activity -     tr070         Angles of Rotation and Reference Angles

Learning Activity -     aqtr070    AQ: Angles of Rotation and Reference Angles

Learning Activity -     tr080         Periodic Functions

 

Section 13-7: Graphing Trigonometric Functions

State Performance Indicators:

SPI 3103.4.2 Match graphs of basic trigonometric functions with their equations.

SPI 3103.4.3 Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems.

√ 33103.4.2 Determine the period and the amplitude of a periodic function.

√ 33103.4.5 Determine the domain and range of the six trigonometric functions given a graph.

Common Core Standards:

ACED.2 Create equations that describe numbers or relationships

FIF.4 (See Lesson 13-6)

FIF.5 Interpret functions that arise in applications in terms of the context

FIF.7e Analyze functions using different representations

FTF.5 Model periodic phenomena with trigonometric functions

Resources/Activities

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/graph-of-the-sine-function

VIDEO:http://www.khanacademy.org/math/trigonometry/v/graphs-of-trig-functions

VIDEO:http://www.khanacademy.org/math/trigonometry/v/graphing-trig-functions

VIDEO:http://www.khanacademy.org/math/trigonometry/v/more-trig-graphs

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

 

Learning Activity -     aqtr110    AQ: Translations of Trigonometric Functions

Learning Activity -     tr120         Stretches and Compressions of Trigonometric Functions

Learning Activity -     aqtr120    AQ: Stretches and Compressions of Trigonometric Functions

Learning Activity -     tr140         Cotangent Functions

Learning Activity -     aqtr140         AQ: Cotangent Functions

 

Section 13-8: Translations of Trigonometric Functions

State Performance Indicators:

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

SPI 3103.4.2 Match graphs of basic trigonometric functions with their equations.

SPI 3103.4.3 Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems.

√ 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs.

√ 33103.4.5 Determine the domain and range of the six trigonometric functions given a graph.

Common Core Standards:

FBF.3 Build new functions from existing functions

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/determining-the-equation-of-a-trigonometric-function

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_13-8a.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

 

Learning Activity -     aqtr110        AQ: Translations of Trigonometric Functions

Learning Activity -     tr120         Stretches and Compressions of Trigonometric Functions

Learning Activity -     aqtr120        AQ: Stretches and Compressions of Trigonometric Functions

Learning Activity -     tr140         Cotangent Functions

Learning Activity -     aqtr140        AQ: Cotangent Functions

 

Section 13-9: Inverse Trigonometric Functions (Optional section for Honors Algebra II)

State Performance Indicators:

SPI 3103.4.2 Match graphs of basic trigonometric functions with their equations.

√ 33103.4.6 Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd and even identities.

Common Core Standards:

FTF.7 Model periodic phenomena with trigonometric functions

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

 

Learning Activity -     tr150         Inverse Trigonometric Functions

 

End-of-Course Preparations (15 Days for review and assessment)

 

Chapter 14: Trigonometric Functions (10 Days for instruction, review and assessment)

CLE 3103.4.2 Know and use the basic identities of sine, cosine, and tangent as well as their reciprocals.

CLE 3103.4.5 Use trigonometric concepts, properties and graphs to solve problems.

 

Section 14-1: Trigonometric Identities

State Performance Indicators:

√ 33103.4.6 Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd and even identities.

Common Core Standards:

FTF.8 Prove and apply trigonometric identities

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO:http://www.khanacademy.org/math/trigonometry/v/trigonometric-identities

VIDEO:http://www.khanacademy.org/math/trigonometry/v/proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b

VIDEO:http://www.khanacademy.org/math/trigonometry/v/trig-identities-part-2--parr-4-if-you-watch-the-proofs

VIDEO:http://www.khanacademy.org/math/trigonometry/v/trig-identies-part-3--part-5-if-you-watch-the-proofs

VIDEO: http://www.mathtv.com/videos_by_topic#

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

 

Learning Activity -     tr160         Pythagorean Identities

Learning Activity -     aqtr160    AQ: Pythagorean Identities

Learning Activity -     tr170         Other Trigonometric Identities

Learning Activity -     tr175         Activity Quiz: Trigonometric Identities

 

Section 14-2: Verifying Trigonometric Identities

State Performance Indicators:

√ 33103.4.6 Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd and even identities.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

Learning Activity -     tr180            Proving Trigonometric Identities

Learning Activity -     aqtr180    AQ: Proving Trigonometric Identities

 

Section 14-3: Sum and Difference of Angles Identities

State Performance Indicators:

√ 33103.4.6 Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd and even identities.

Common Core Standards:

FTF.8 (See Lesson 14-1)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

 

Section 14-4: Double-Angle and Half-Angle Identities

State Performance Indicators:

√ 33103.4.6 Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd and even identities.

Common Core Standards:

FTF.8 (See Lesson 14-1)

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

 

Section 14-5: Solving Trigonometric Equations

State Performance Indicators:

√ 33103.4.6 Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd and even identities.

Resources/Activities

HOTMATH.COMhttp://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST:http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

VIDEO: http://www.mathtv.com/videos_by_topic#

GLENCOE CALCULATOR VIDEO:http://glencoe.com/sites/common_assets/mathematics/alg2_2010/GT_personal_tutors/TI_A2_14-5a.swf

COMPASS LEARNING ODYSSEY https://www.thelearningodyssey.com/

 

 

Learning Activity -     tr190         Solving Trigonometric Equations

 

Semester Review and Semester Exam (5 Days for review and assessm