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

#### 1.01: Write equivalent forms of algebraic expressions to solve problems.

1.01.a: Apply the laws of exponents.

Dividing Exponential Expressions

Exponents and Power Rules

1.01.b: Operate with polynomials.

Addition of Polynomials - Activity A

1.01.c: Factor polynomials.

Dividing Polynomials Using Synthetic Division

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

Arithmetic and Geometric Sequences

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

#### 2.01: Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

#### 2.02: Develop and apply properties of solids to solve problems.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

### 3: The learner will analyze data and apply probability concepts to solve problems.

#### 3.02: Use theoretical and experimental probability to model and solve problems.

3.02.b: Calculate and apply permutations and combinations.

Binomial Probabilities

Permutations

Permutations and Combinations

3.02.c: Create and use simulations for probability models.

Probability Simulations

#### 3.03: Create linear and exponential models, for sets of data, to solve problems.

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

Correlation

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

3.03.b: Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

Correlation

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

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

#### 4.01: Use linear functions or inequalities to model and solve problems; justify results.

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

Modeling and Solving Two-Step Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

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

Correlation

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

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

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

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

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

Correlation

Exponential Functions - Activity A

#### 4.03: Use systems of linear equations or inequalities in two variables to model problems and solve graphically.

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

Correlation last revised: 9/3/2015