1: The learner will perform operations with complex numbers, matrices, and polynomials.

1.02: Define and compute with complex numbers.

Points in the Complex Plane - Activity A

1.05: 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 relations and functions to solve problems.

2.01: Use the composition and inverse of functions to model and solve problems; justify results.

Function Machines 3 (Functions and Problem Solving)

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

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

Modeling and Solving Two-Step Equations
Quadratic Inequalities - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
Solving Two-Step Equations

2.02.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

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

2.03.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

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

Correlation
Exponential Functions - Activity A

2.04: Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.

2.04.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)
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Roots of a Quadratic

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

Exponential Functions - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Roots of a Quadratic

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

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

Correlation

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

Distance-Time Graphs
Hyperbola - Activity A

2.06: Use cubic equations to model and solve problems.

2.06.a: Solve using tables and graphs.

Cubic Function Activity
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

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

Correlation
Cubic Function Activity

2.07: Use equations with radical expressions to model and solve problems; justify results.

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

Functions Involving Square Roots
Radical Functions
Simplifying Radicals - Activity A

2.07.b: Interpret the degree, constants, and coefficients in the context of the problem.

Correlation
Functions Involving Square Roots
Radical Functions
Simplifying Radicals - Activity A

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

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

Inequalities Involving Absolute Values

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

Correlation
Inequalities Involving Absolute Values

2.09: Use the equations of parabolas and circles to model and solve problems; justify results.

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

Circles
Modeling and Solving Two-Step Equations
Parabolas - Activity A
Solving Two-Step Equations

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

Circles
Correlation
Parabolas - Activity A

2.10: 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