### 1: Develop spatial sense and proportional reasoning.

#### 1..A4: Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

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

### 2: Develop algebraic reasoning and number sense.

#### 2..B1: Demonstrate an understanding of factors of whole numbers by determining the:

2..B1.a: prime factors

Finding Factors with Area Models

2..B1.d: square root

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

#### 2..B4: Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically.

Modeling the Factorization of *x*^{2}+*bx*+*c*

#### 2..B5: Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

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

#### 3..C2: Demonstrate an understanding of relations and functions.

Exponential Functions

Introduction to Functions

Linear Functions

Points, Lines, and Equations

#### 3..C3: Demonstrate an understanding of slope with respect to:

3..C3.a: rise and run

Cat and Mouse (Modeling with Linear Systems) - Metric

Distance-Time and Velocity-Time Graphs - Metric

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

3..C3.b: line segments and lines

Cat and Mouse (Modeling with Linear Systems) - Metric

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

3..C3.c: rate of change

Slope

3..C3.d: parallel lines

Cat and Mouse (Modeling with Linear Systems) - Metric

#### 3..C4: Describe and represent linear relations, using:

3..C4.a: words

Compound Interest

3..C4.b: ordered pairs

Linear Functions

Points, Lines, and Equations

3..C4.c: tables of values

Compound Interest

Points, Lines, and Equations

Slope-Intercept Form of a Line

3..C4.d: graphs

Linear Functions

Slope-Intercept Form of a Line

3..C4.e: equations.

Compound Interest

Linear Functions

Slope-Intercept Form of a Line

#### 3..C5: Determine the characteristics of the graphs of linear relations, including the:

3..C5.a: intercepts

Linear Functions

#### 3..C6: Relate linear relations expressed in:

3..C6.a: slope?intercept form (y = mx + b)

Points, Lines, and Equations

Slope-Intercept Form of a Line

#### 3..C7: Determine the equation of a linear relation, given:

3..C7.a: a graph

Absolute Value with Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

3..C7.b: a point and the slope

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

3..C7.c: two points

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

#### 3..C9: Solve problems that involve systems of linear equations in two variables, graphically and algebraically.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Correlation last revised: 1/22/2020