### 1: The learner will perform operations with numbers and algebraic expressions to solve problems.

#### 1.02: Use algebraic expressions, including iterative and recursive forms, to model and solve problems.

Arithmetic and Geometric Sequences

#### 1.04: Model and solve problems using direct, inverse, combined and joint variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

### 2: The learner will use properties of geometric figures to solve problems.

#### 2.02: Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs.

Investigating Angle Theorems - Activity A

#### 2.03: Apply the properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs:

2.03.a: Triangles.

Classifying Triangles

Simplifying Trigonometric Expressions

2.03.b: Quadrilaterals.

Parallelogram Conditions

Simplifying Trigonometric Expressions

2.03.c: Other polygons.

Simplifying Trigonometric Expressions

2.03.d: Circles.

Chords and Arcs

Inscribing Angles

Simplifying Trigonometric Expressions

#### 2.04: Use the law of sines and law of cosines to solve problems.

Cosine Function

Sine Function

Unit Circle

### 3: The learner will use relations and functions to solve problems.

#### 3.01: Use systems of two or more equations or inequalities to model and solve problems; justify results. Solve using tables, graphs, matrix operations, and algebraic properties.

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

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

#### 3.02: Use quadratic functions and inequalities to model and solve problems; justify results.

3.02.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

3.02.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

#### 3.03: Use rational equations to model and solve problems; justify results.

3.03.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

3.03.b: Interpret the constants and coefficients in the context of the problem.

Correlation

3.03.c: Identify the asymptotes and intercepts graphically and algebraically.

Distance-Time Graphs

Hyperbola - Activity A

#### 3.04: Use equations and inequalities with absolute value to model and solve problems; justify results.

3.04.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Inequalities Involving Absolute Values

3.04.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Inequalities Involving Absolute Values

#### 3.05: Transform functions in two dimensions; describe the results algebraically and geometrically.

Translating and Scaling Functions

Correlation last revised: 9/3/2015