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

#### 1.03: Model and solve problems using direct variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

### 2: The learner will describe geometric figures in the coordinate plane algebraically.

#### 2.01: Find the lengths and midpoints of segments to solve problems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

#### 2.03: Use the trigonometric ratios to model and solve problems.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

#### 2.04: Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

Dilations

Reflections

Rotations, Reflections and Translations

Translations

### 3: The learner will collect, organize, and interpret data to solve problems.

#### 3.01: Describe data to solve problems.

3.01.c: Determine measures of central tendency and spread.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

3.01.f: Compare distributions of data.

Populations and Samples

#### 3.02: Create and use, for sets of data, calculator-generated models of linear, exponential, and quadratic functions to solve problems.

3.02.a: Interpret the constants, coefficients, and bases in the context of the data.

Correlation

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

#### 4.01: Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify steps used.

Linear Programming - Activity A

Modeling Linear Systems - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Special Types of Solutions to Linear Systems

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

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

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

Linear Inequalities in Two Variables - Activity A

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

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

#### 4.03: Use power models to solve problems.

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

Distance-Time Graphs

Linear Inequalities in Two Variables - Activity A

Correlation last revised: 9/3/2015