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

#### 1.1: Demonstrate an understanding of the absolute value of real numbers.

Rational Numbers, Opposites, and Absolute Values

### 2: Develop trigonometric reasoning.

#### 2.2: Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.

Cosine Function

Sine Function

Tangent Function

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

#### 3.1: Factor polynomial expressions of the form:

3.1.a: ax² + bx + c,a is not equal to 0

Factoring Special Products

3.1.b: a²x² − b²y², a is not equal to 0, b is not equal to 0

Factoring Special Products

#### 3.2: Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.

Absolute Value with Linear Functions

Translating and Scaling Functions

#### 3.3: Analyze quadratic functions of the form y = (x − p)² + q and determine the:

3.3.a: vertex

Quadratics in Vertex Form

3.3.c: direction of opening

Quadratics in Vertex Form

3.3.d: axis of symmetry

Quadratics in Vertex Form

3.3.e: x- and y-intercepts.

Quadratics in Vertex Form

Zap It! Game

#### 3.4: Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph, including:

3.4.a: vertex

Quadratics in Polynomial Form

3.4.d: axis of symmetry

Quadratics in Polynomial Form

3.4.e: x- and y-intercepts

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

#### 3.5: Solve problems that involve quadratic equations.

Quadratics in Polynomial Form

Roots of a Quadratic

#### 3.6: Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.

Cat and Mouse (Modeling with Linear Systems) - Metric

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

#### 3.7: Solve problems that involve linear and quadratic inequalities in two variables.

Compound Inequalities

Quadratic Inequalities

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

#### 3.8: Solve problems that involve quadratic inequalities in one variable.

Quadratic Inequalities

#### 3.9: Analyze arithmetic sequences and series to solve problems.

Arithmetic Sequences

Correlation last revised: 1/23/2020