### 1: Develop trigonometric reasoning.

#### 1..A4: Graph and analyze the trigonometric functions sine, cosine and tangent to solve problems.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Sum and Difference Identities for Sine and Cosine

Tangent Function

Translating and Scaling Sine and Cosine Functions

#### 1..A6: Prove trigonometric identities, using:

1..A6.a: reciprocal identities

Simplifying Trigonometric Expressions

1..A6.b: quotient identities

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

1..A6.c: Pythagorean identities

Simplifying Trigonometric Expressions

1..A6.d: sum or difference identities (restricted to sine, cosine and tangent)

Sum and Difference Identities for Sine and Cosine

### 2: Develop algebraic and graphical reasoning through the study of relations.

#### 2..B1: Demonstrate an understanding of operations on, and compositions of, functions.

Addition and Subtraction of Functions

#### 2..B2: Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.

Absolute Value with Linear Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

#### 2..B3: Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations.

Introduction to Exponential Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

#### 2..B4: Apply translations and stretches to the graphs and equations of functions.

Absolute Value with Linear Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

#### 2..B5: Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections through the:

2..B5.c: line y = x.

Absolute Value with Linear Functions

#### 2..B9: Graph and analyze exponential and logarithmic functions.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

#### 2..B10: Solve problems that involve exponential and logarithmic equations.

Exponential Functions

#### 2..B11: Demonstrate an understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree less than or equal to 5 with integral coefficients).

Factoring Special Products

#### 2..B12: Graph and analyze polynomial functions (limited to polynomial functions of degree less than or equal to 5).

Graphs of Polynomial Functions

Polynomials and Linear Factors

#### 2..B13: Graph and analyze radical functions (limited to functions involving one radical).

Radical Functions

### 3: Develop algebraic and numeric reasoning that involves combinatorics.

#### 3..C2: Determine the number of permutations of n elements taken r at a time to solve problems.

Permutations and Combinations

Correlation last revised: 1/22/2020