Algebra 2 with Trigonometry Curriculum Map

Click the links below to see the Algebra 2 with Trigonometry Map with the Aligned CCSS Standards

  ALGEBRA 2 TRIGONOMETRY CURRICULUM MAP with CCSS (Doc)

 ALGEBRA 2 TRIGONOMETRY CURRICULUM MAP with CCSS (PDF)

Unit 1 – Tools of Algebra

1-1 Properties of Real Numbers

1-2 Algebraic Expressions

1-3 Solving Equations

1-4 Solving Inequalities

1-5 Absolute Value Equations and Inequalities

1-6 Probability

 

Unit 2 – Functions, Equations, and Graphs

2-1 Relations and Functions

2-2 Linear Equations

2-3 Direct Variation

2-4 Using Linear Models / Finding a Line of Best Fit

2-5 Absolute Value Functions and Graphs

2-6 Families of Functions

2-7 Two-Variable Inequalities

 

Unit 3 – Linear Systems

3-1 Graphing Systems of Equations (Solving Systems of Linear Equations by Graphing and Tables)

3-2 Solving Systems of Equations Algebraically (Solving Systems of Equations by Substitution and Elimination)

3-3 Solving Systems of Linear Inequalities

3-4 Linear Programming

3-5 Graphs in Three Dimensions

3-6 Solving Linear Systems with Three Variables

 

Unit 4 – Matrices

4-1 Organizing Data Into Matrices

4-2 Adding and Subtracting Matrices

4-3 Matrix Multiplication

4-4 Geometric Transformations with Matrices

4-5 2×2 Matrices, Determinants, and Inverses

4-6 3×3 Matrices, Determinants, and Inverses

4-7 Inverse Matrices and Systems

4-8 Augmented Matrices and Systems

 

Unit 5 – Quadratic Equations and Functions

5-1 Modeling Data with Quadratic Functions

5-2 Properties of Parabolas

5-3 Transforming Parabolas

5-4 Factoring Quadratic Expressions

5-4R Square Roots and Radicals

5-5 Quadratic Equations

5-6 Complex Numbers

5-7 Completing the Square

5-8 The Quadratic Formula

5-8R Quadratic Inequalities

 

Unit 6 – Polynomials and Polynomial Functions

6-1 Polynomial Functions

6-2 Polynomials and Linear Factors

6-3 Dividing Polynomials

6-4 Solving Polynomial Equations

6-5 Theorems About Roots of Polynomial Equations

6-6 The Fundamental Theorem of Algebra

6-7 Permutations and Combinations

6-8 The Binomial Theorem

 

Unit 7 – Radical Functions and Rational Exponents

7-1 Roots and Radical Expressions

7-2 Multiplying and Dividing Radical Expressions

7-3 Binomial Radical Expressions

7-4 Rational Exponents

7-5 Solving Square Root and Other Radical Equations

7-6 Function Operations

7-7 Inverse Relations and Functions

7-8 Graphing Square Root and Other Radical Functions

 

Unit 8 – Exponential and Logarithmic Functions

8-1 Exploring Exponential Models

8-2 Fitting Exponential Curves to Data

8-2R Properties of Exponential Functions

8-3 Logarithmic Functions as Inverses

8-4 Properties of Logarithms

8-5 Exponential and Logarithmic Equations

8-6 Natural Logarithms

 

Unit 9 – Rational Functions

9-1 Inverse Variation

9-2 The Reciprocal Function Family

9-3 Rational Functions and Their Graphs

9-4 Rational Expressions

9-5 Adding and Subtracting Rational Expressions

9-6 Solving Rational Equations

9-6R Rational Inequalities

9-7 Probability of Multiple Events

 

Unit 10 – Quadratic Relations and Conic Sections

10-1 Exploring Conic Sections

10-2 Parabolas

10-3 Circles

10-4 Ellipses

10-5 Hyperbolas

10-6 Translating Conic Sections

10-6R Solving Quadratic Systems

 

Unit 11 – Sequences and Series

11-1 Mathematical Patterns

11-2 Arithmetic Sequences

11-3 Geometric Sequences

11-4 Arithmetic Series

11-5 Geometric Series

11-6 Area Under a Curve

11-7 Infinite Geometric Series

 

Unit 12 – Probability and Statistics

12-1 Probability Distributions

12-2 Conditional Probability

12-3 Analyzing Data

12-4 Standard Deviation

12-5 Working with Samples

12-6 Binomial Distributions

12-7 Normal Distributions

 

Unit 13 – Periodic Functions and Trigonometry

13-1 Exploring Periodic Data

13-2 Angles and the Unit Circle

13-3 Radian Measure

13-4 The Sine Function

13-5 The Cosine Function

13-6 The Tangent Function

13-7 Translating Sine and Cosine Functions

13-8 Reciprocal Trigonometric Functions

 

Unit 14 – Trigonometric Identities and Equations

14-1 Trigonometric Identities

14-2 Solving Trigonometric Equations Using Inverses

14-3 Right Triangles and Trigonometric Ratios

14-4 Area and the Law of Sines

14-4R The Ambiguous Case

14-5 The Law of Cosines

14-6 Angle Identities

14-7 Double-Angle and Half-Angle Identities