AII.1 The student will - Carnegie Learning · 2019-08-23 · Lesson 4.5 Getting to the Root of It All (p. 363) Lesson 4.6 Identity Theft ... Lesson 6.5 The Power of Interest (It’s

Mathematics Textbook Correlation to the

2016 Algebra II Standards of Learning and Curriculum Framework

Algebra II 1 of 23 Virginia Department of Education 2017

Publisher: Carnegie Learning Text: Algebra II (blended) Copyright date: 2014-2017

Contact: Tracey Bradley Phone#: (888)

851-7094 x463

E-mail:

[email protected]

2016 Algebra II Standards of Learning

STANDARD Correlation: Must address both the standards and the curriculum

framework. Use page number and ATE for Annotated Teacher Edition or

CT for Core Technology. (Identify no more than 8 correlations.)

AII.1 The student will

a) add, subtract, multiply, divide, and simplify rational

algebraic expressions;

ATE

Chapter 4: Polynomial Expressions and Equations

Lesson 4.1 Don’t Take This Out of ConText: Algebra II(p.

317)

Lesson 4.2 The Great Polynomial Divide (p. 325)

CT: MATHia

Module: Rational Expressions and Functions

Units: Rational Expressions

Workspaces:

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions




b) add, subtract, multiply, divide, and simplify radical

expressions containing rational numbers and variables,

and expressions containing rational exponents; and

ATE

Chapters 8: Solving Rational Equations

Lesson 8.1 There Must Be a Rational Explanation (p. 603)

Lesson 8.2 Different Client, Same Deal (p. 613

Chapter 9: Radical Functions

Lesson 9.4 Keepin’ It Real (p. 693)

Lesson 9.5 Time to Operate! (p. 709)

CT: MATHia

Module: Radical Functions

Unit: Simplification and Operations with Radicals

Workspaces:

Simplifying Radicals

Adding and Subtracting Radicals

Multiplying Radicals

Dividing Radicals

Module: Radical Functions

Unit: Radical Expressions with Variables

Workspaces:

Simplifying Radicals with Variables

Adding and Subtracting Radicals with Variables

Multiplying Radicals with Variables

c) factor polynomials completely in one or two variables.

ATE


Lesson 4.3 The Factors of Life (p. 343)

Lesson 4.4 Break It Down (p. 351)

Lesson 4.5 Getting to the Root of It All (p. 363)

Lesson 4.6 Identity Theft (p. 371)




Publisher: Carnegie Learning Text: Algebra II





AII.2 The student will perform operations on complex numbers

and express the results in simplest form using patterns of

the powers of i.

ATE

Chapter 2: Quadratic Functions

Lesson 2.6 Now It Is Getting Complex…But It Is Still Not

Difficult (p. 165)

CT: MATHia

Module: Quadratic Functions

Units: Operations with Complex Numbers

Workspaces:

Introduction to Complex Numbers

Simplifying Radicals with Negative Radicands

Simplifying Powers of i

Adding and Subtracting Complex Numbers

Multiplying Complex Numbers









AII.3 The student will solve

CT: MATHia


Unit: Forms of Quadratic Functions

Workspaces:

Quadratic Equation Solving

Solving Quadratic Equations with Complex Roots


Unit: Rational Equations

Workspaces:

Solving Rational Equations that Result in Linear

Equations

Solving Rational Equations that Result in

Quadratic Equations

Solving Rational Equations with Extraneous

Solutions

Workspace:

Modeling and Solving with Rational Functions

a) absolute value linear equations and inequalities;

Additional content:

ATE

Algebra I Chapter 2

Lesson 2.2 Play Ball!




b) quadratic equations over the set of complex numbers;

ATE


Lessons 2.7 You Can’t Spell “Fundamental Theorem of

Algebra” without F-U-N! (p. 179)

c) equations containing rational algebraic expressions;

and

ATE

Chapter 7: Rational Functions

Lesson 7.4 There’s a Hole in my Function, Dear Liza (p. 569)

Lesson 7.5 The Breaking Point (p. 583)

Chapter 8: Solving Rational Equations

Lesson 8.3Things Are Not Always as They Appear (p. 621)

Lesson 8.4 Get to Work, Mix It Up, Go the Distance, and

Lower the Cost! (p. 641)

d) equations containing radical expressions.

ATE


Lesson 9.6 Look to the Horizon (p. 721)









AII.4 The student will solve systems of linear-quadratic and

quadratic-quadratic equations, algebraically and

graphically.

ATE


Lesson 2.5 What’s the Point (p. 147)

Additional content:

ATE

Course - Algebra I

Chapter 13: Solving Quadratic Equations and Inequalities

Lesson 13.4 You Must Have a System (p. 789)

CT - MATHia

Module:









AII.5 The student will investigate and apply the properties of

arithmetic and geometric sequences and series to solve

practical problems, including writing the first n terms,

determining the nth

term, and evaluating summation

formulas. Notation will include and an.

ATE

Chapters 1: Searching for Patterns

Lesson 1.1 Patterns: They’re Grrrrrowing! (p. 3)

Lesson 1.2 Are They Saying the Same Thing? (p. 9)

Chapter 6: Sequences and Series

Lesson 6.1 Sequence-Not Just Another Glittery Accessory (p.

465)

Lesson 6.2 This is Series(ous) Business (p. 473)

Lesson 6.4 These Series Just Go On…And On…And On (p.

499)

Lesson 6.5 The Power of Interest (It’s a Curious Thing) (p.

511

Lesson 6.6 A Series of Fortunate Events (p. 525)

Chapter 10: Graphing Exponential and Logarithmic Functions

10.1 Small Investments, Big Reward (p. 739)

CT: MATHia

Module: Function Overview

Units: Searching for Patterns

Workspace:

Exploring and Analyzing Patterns

Module: Sequences and Series

Workspaces:

Derive the formula to calculate the Sum of finite




geometric series

Calculating the Sums of Finite Geometric Series









AII.6 For absolute value, square root, cube root, rational,

polynomial, exponential, and logarithmic functions, the

student will

CT: MATHia

Module: Exponential Models

Unit: Exponential and Logarithmic Functions

Workspaces:

Properties of Exponential Graphs

Introduction to Logarithmic Functions


Unit: Graphs of Functions

Workspace: Transforming Functions

Module: Inverse Functions

Unit: Inverse Functions

Workspaces:

Graphing Square Root Functions

Graphing Cube Root Functions

Module: Polynomial Functions

Unit: Graphs of Polynomial Functions

Workspace: Classifying Polynomial Functions


Unit: Solving Polynomials

Workspace: Comparing Polynomial Functions in Different

Forms






Workspace:

Examining the Shape and Structure of Quadratic

Functions

Quadratic Transformations


Unit: Rational Functions

Workspaces:

Introduction to Rational Functions

Modeling Ratios as Rational Functions

Unit: Rational Models and Independent Variables

Workspaces:


Using Rational Models

Unit: Work, Mixture, and Distance Problems

Workspace: Modeling with Rational Functions

a) recognize the general shape of function families; and

ATE

Chapters 1: Search for Patterns

Lesson 1.3 Are They Saying the Same Thing (p. 25)

Lesson 1.4 Planting the Seeds (p. 49)

Chapter 3: Polynomial functions

Lesson 3.4 Polynomial DNA (p. 261)

Lesson 7.1 A Rational Existence (p. 541)


Lesson 9.2 The Root of the Matter (p. 675)


Lesson 10.1 Small Investment, Big Reward (p. 739)

Lesson 10.5 More Than Meets the Eye (p. 787)

Lesson 12.2 Paint by Numbers (p. 905)




b) use knowledge of transformations to convert between

equations and the corresponding graphs of functions.

ATE

Chapters 7: Rational Functions

Lesson 7.2 A Rational Shift in Behavior (p. 553)

Lesson 7.3 A Rational Approach (p. 563)


Lesson 10.3 I Like to Move It (p. 763)

Lesson 10.4 I Feel the Earth Move (p. 773)









AII.7 The student will investigate and analyze linear, quadratic,

absolute value, square root, cube root, rational,

polynomial, exponential, and logarithmic function

families algebraically and graphically. Key concepts

include

ATE



Lesson 1.5 I’ve Created a Monster (p. 57)


Lesson 2.1 Shape and Structure (p. 89)

Lesson 2.2 Function Sense (p. 109)

Lesson 2.3 Up and Down (p. 119)

Lesson 2.4 Side to Side (p. 133)

Lesson 2.5 What’s the Point (p.147)

Lesson 2.7 You Can’t Spell “Fundamental Theorem of


Chapter 3: Polynomial Functions


Lesson 3.2 Polynomial Power (p. 225)

Lesson 3.3 Function Makeover (p. 239)


Lesson 3.5 That Graphing Looks a Little Sketchy (p. 277)

Lesson 3.6 Closing Time (p. 295)


Lesson 4.1 Don’t Take This Out of ConText: Algebra II(p.

317)

Chapter 5: Polynomial Functions

Lesson 5.5 The Choice is Yours (p. 445)








Lesson 7.4 There’s a Hole in My Function, Dear Liza (p. 569)



Lesson 9.1 With Great Power (p. 663)


Chapter: 10: Graphing Exponential and Logarithmic Functions

Lesson 10.2 We Have Liftoff! (p. 749)




Chapter 11: Exponential and Logarithmic Equations

Lesson 11.5 So When Will I Use This? (p. 863)

CT: MATHia


Unit: Searching for Patterns

Workspace: Comparing Familiar Function Representations


Unit: Graphs of Functions

Workspace: Identifying Key Characteristics of Graphs of

Functions



Workspaces:

Quadratic Modeling


Unit: Power Functions

Workspaces:

Exploring Cubic Functions




Exploring Power Functions

Building Functions on a Coordinate Plane


Workspaces:

Interpreting Key Features of Graphs in Terms of

Quantities

Identifying Key Characteristics of Polynomial

Functions

Identify Zeros of Polynomials

Modeling Polynomials

Comparing Polynomial Functions in Different

Forms


Unit: Rational Functions

Workspaces:

Introduction to Rational Functions


Unit: Rational Models and Independent Variables

Workspace:


Using Rational Models

Modeling with Rational Functions

a) domain, range, and continuity;

ATE


Lesson 7.4 There’s a Hole in My Function, Dear Liza (p. 569)




b) intervals in which a function is increasing or

decreasing;

ATE







Lesson 10. 4 I Feel the Earth Move (p. 773)


c) extrema;

ATE

Chapters 3: Polynomial Functions



d) zeros;

ATE





e) intercepts;

ATE






f) values of a function for elements in its domain;

ATE











AII.7 The student will investigate and analyze linear, quadratic,

absolute value, square root, cube root, rational,

polynomial, exponential, and logarithmic function

families algebraically and graphically. Key concepts

include

g) connections between and among multiple

representations of functions using verbal descriptions,

tables, equations, and graphs;

ATE

Chapter 1: Searching for Patterns


Lesson 1.3 Are All Functions Created Equal (p. 25)

Lesson 1.4 Water Under the Bridge (p. 49)

h) end behavior;

ATE

Chapters 3: Polynomial Functions






i) vertical and horizontal asymptotes;

ATE


Lesson 10.2 We Have Liftoff! (p.749)







j) inverse of a function; and

ATE

Chapters 2: Quadratic Functions

Lesson 2.1 Shape and Structure (p. 89)




Lesson 9.3 Making Waves (p. 685)



k) composition of functions algebraically and

graphically.

ATE




Lesson 9.3 Making Waves (p. 685)






AII.8 The student will investigate and describe the relationships

among solutions of an equation, zeros of a function,

x-intercepts of a graph, and factors of a polynomial

ATE

Chapter 1: Searching for Patterns






expression.








Lesson 3.6 Closing Time (p. 295)

CT: MATHia


Unit: Power Functions

Workspaces:

Building Functions on a Coordinate Plane


Workspaces:

Use Zeros to Sketch a Graph of Polynomial

Module: Intersections

Unit: Understanding the Intersections of Two Functions

Workspace: Understanding the Intersections of Two

Functions









AII.9 The student will collect and analyze data, determine the

equation of the curve of best fit in order to make

predictions, and solve practical problems, using

mathematical models of quadratic and exponential

functions.

ATE



Lesson 12.6 Grab Bag (p. 941)









AII.10 The student will represent and solve problems, including

practical problems, involving inverse variation, joint

variation, and a combination of direct and inverse

variations.

ATE














AII.11 The student will

CT: MATHia

Module: Interpreting Data

Unit: Interpreting Data in Normal Distributions

Workspaces:

Normal Distributions

Z-Scores and Percentiles

Normal Distributions and Probability

a) identify and describe properties of a normal

distribution;

ATE

Chapter 15: Interpreting Data in Normal Distributions

Lesson 15.1 Recharge It! (p.1073)

Lesson 15.2 #I’m Online (p.1083)

b) interpret and compare z-scores for normally distributed

data; and

ATE


Lesson 15.1 Recharge It! (p. 1073)

Lesson 15.2 #I’m Online (p. 1083)

Lesson 15.3 Below the Line, Above the Line, and In Between

the Lines (p. 1093)

Lesson 15.4 You Make the Call (p. 1105)




c) apply properties of normal distributions to determine

probabilities associated with areas under the standard

normal curve.

ATE


Lesson 15.1 Recharge It! (p. 1073)

Lesson 15.2 #I’m Online (p. 1083)

Lesson 15.3 Below the Line, Above the Line, and In Between

the Lines (p. 1093)

Lesson 15.4 You Make the Call (p. 1105)









AII.12 The student will compute and distinguish between

permutations and combinations.

Additional content:

ATE

Course - Geometry

Chapter 15:

Lesson 15.1 Left, Left, Left, Right, Left

Lesson 15.3 Counting

Documents

AII.1 The student will - Carnegie Learning · 2019-08-23 · Lesson 4.5 Getting to the Root of It All (p. 363) Lesson 4.6 Identity Theft ... Lesson 6.5 The Power of Interest (It’s