Algebra 2

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1. Real Numbers, Algebra, and Problem Solving

1.1. Real Numbers and Operations

Adding Real Numbers

1.2. Multiplication and Division of Real Numbers

Dividing Fractions

1.3. Algebraic Expressions and Properties of Numbers

Using Algebraic Expressions

1.5. Solving Equations

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

1.6. Writing Equations

Using Algebraic Equations

1.8. Properties of Exponents

Exponents and Power Rules

Multiplying Exponential Expressions

Dividing Exponential Expressions

2. Equations and Inequalities

2.2. Using Equations

Using Algebraic Equations

2.3. Solving Formulas

Solving Formulas for any Variable

2.4. Solving Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

2.6. Compound Inequalities

Compound Inequalities

2.7. Absolute Value

Inequalities Involving Absolute Values

2.8. Proofs in Solving Equations

Conditional Statement

3. Relations, Functions, and Graphs

3.2. Graphs

Points in the Coordinate Plane - Activity B

3.3. Functions

Introduction to Functions

3.4. Graphs of Linear Equations

Linear Functions

Using Tables, Rules and Graphs

3.5. Slope

Slope - Activity A

3.6. More Equations of Lines

Slope-Intercept Form of a Line - Activity A

4. Systems of Equations and Problem Solving

4.1. Systems of Equations in Two Variables

Solving Linear Systems by Graphing

4.3. Using a System of Two Equations

Modeling Linear Systems - Activity B

4.6. Consistent and Dependent Systems

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity B

4.7. Systems of Inequalities

Systems of Linear Inequalities (Standard form)

Systems of Linear Inequalities (Slope-intercept form) - Activity A

4.8. Using Linear Programming

Linear Programming - Activity A

5. Polynomials and Polynomial Equations

5.2. Addition and Subtraction of Polynomials

Addition of Polynomials - Activity B

5.4. Factoring

Factoring Special Products

Polynomials and Linear Factors

5.5. More Factoring

Modeling the Factorization of x2+bx+c

Modeling the Factorization of ax2+bx+c

5.7. Solving Equations by Factoring

Quadratics in Factored Form

Polynomials and Linear Factors

5.8. Using Equations

Maximize Area

Minimize Perimeter

6. Rational Expressions and Equations

6.5. Synthetic Division

Dividing Polynomials Using Synthetic Division

6.7. Using Rational Equations

Direct and Inverse Variation

6.8. Formulas

Solving Formulas for any Variable

6.9. Variation and Problem Solving

Direct and Inverse Variation

6.10. Reasoning Strategies

Finding Patterns

7. Powers, Roots, and Complex Numbers

7.1. Radical Expressions

Simplifying Radicals - Activity A

7.2. Multiplying and Simplifying

Operations with Radical Expressions

7.3. Operations with Radical Expressions

Operations with Radical Expressions

7.4. More Operations with Radical Expressions

Operations with Radical Expressions

7.8. Complex Numbers and Graphing

Points in the Complex Plane - Activity A

8. Quadratic Equations

8.3. The Quadratic Formula

Roots of a Quadratic

8.4. Solutions to Quadratic Equations

Roots of a Quadratic

9. Quadratic Functions and Transformations

9.2. Transformations

Translating and Scaling Functions

9.3. Stretching and Shrinking

Translating and Scaling Functions

9.4. Graphs of Quadratic Functions

Quadratics in Vertex Form - Activity A

9.5. Graphs of f(x)=a(x-h)2+ k

Quadratics in Vertex Form - Activity A

9.6. Standard Form for Quadratic Functions

Quadratics in Polynomial Form - Activity A

9.7. Graphs and x-intercepts

Roots of a Quadratic

10. Equations of Second Degree

10.1. Coordinate Geometry

Distance Formula - Activity A

10.2. Conic Sections: Circles


10.3. Ellipses

Ellipse - Activity A

10.4. Hyperbolas

Hyperbola - Activity A

10.5. Parabolas

Parabolas - Activity A

11. Polynomial Functions

11.2. The Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

11.3. Theorems About Roots

Polynomials and Linear Factors

11.6. Graphs of Polynomial Functions

Fourth-Degree Polynomials - Activity A

12. Inverse Relations and Functions

12.2. Exponential and Logarithmic Functions

Exponential Functions - Activity A

Logarithmic Functions - Activity B

12.3. Exponential and Logarithmic Relationships

Logarithmic Functions - Activity A

12.4. Properties of Logarithmic Functions

Logarithmic Functions - Activity A

12.8. Natural Logarithms and the Number e

Exponential Functions - Activity C

13. Matrices

13.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

13.2. Addition and Subtraction of Matrices


14. Sequences, Series, and Mathematical Induction

14.2. Arithmetic Sequences and Series

Arithmetic Sequences

14.3. Geometric Sequences and Series

Geometric Sequences

15. Counting and Probability

15.1. Counting Problems and Permutations


15.3. Combinations

Permutations and Combinations

15.5. Probability

Geometric Probability - Activity A

Probability Simulations

15.6. Compound Probability

Compound Independent and Dependent Events

15.7. Simulating Events

Binomial Probabilities

Probability Simulations

Theoretical and Experimental Probability

16. Statistics and Data Analysis

16.1. Statistics: Organizing Data

Stem-and-Leaf Plots


16.2. Using Measures of Central Tendency

Mean, Median and Mode

Describing Data Using Statistics

Box-and-Whisker Plots

Line Plots

17. Trigonometric Functions

17.1. Trigonometric Functions in Triangles

Sine, Cosine and Tangent

Sine and Cosine Ratios - Activity A

Tangent Ratio

17.2. More Trigonometric Functions

Unit Circle

17.5. Graphs of Trigonometric Functions

Sine Function

Tangent Function

Cosine Function

17.6. Trigonometric Function Relationships

Simplifying and Verifying Trigonometric Functions

17.7. More Trigonometric Graphs

Translating and Scaling Sine and Cosine Functions - Activity A

18. Trigonometric Identities and Equations

18.1. Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine

18.3. Proving Identities

Simplifying and Verifying Trigonometric Functions

18.6. Right Triangles and Problem Solving

Sine and Cosine Ratios - Activity B

Content correlation last revised: 6/26/2008