Core Modules

Real and Complex Numbers

1Module 01 - Real and Complex Numbers

Introduction to Module 1 - Real and Complex Numbers.

1.1Subgroups of Real Numbers

Identify the subgroup of Real numbers a number belongs to.

1.2Subgroups of Complex Numbers

Identify the subgroup of Complex numbers a number belongs to.

1.3Order of Operations

Apply the properties of Real numbers to simplify expressions.

1.4Operate on Complex Numbers

Add, Subtract, Multiply, or Divide Complex numbers.

Linear Functions

2Module 02 - Linear Functions

Introduction for Module 2 - Linear Functions.

2.1Objective 1 - Construct a linear function from points

Use points to construct a linear function.

2.2Objective 2 - Converting between linear forms

Converting between Slope-Intercept form and Standard form.

2.3Objective 3 - Convert between a linear equation and its graph.

Constructing the linear equation based on its graph.

2.4Objective 4 - Solve Linear Equations

Solve linear equations.

Inequalities

3Module 03 - Linear Inequalities

Introduction for Module 3 - Linear Inequalities.

3.1Objective 1 - Set Notation

Describe solutions as sets of numbers.

3.2Objective 2 - Solve Linear Inequalities

Solve linear inequalities.

3.3Objective 3 - Solve Compound Linear Inequalities

Solve linear inequalities.

Quadratic Functions

4Module 04 - Quadratic Functions

Objectives list for Module 4 - Quadratic Functions.

4.1Objective 1 - Factor trinomials

Factor a trinomial with leading coefficient 1 and greater than 1.

4.2Objective 2 - Graphing quadratic functions.

Describe the salient characteristics of quadratic functions.

4.3Objective 3 - Solving Quadratics by Factoring

Solving quadratic equations using the zero-factor principle.

4.4Objective 4 - Solving Quadratic Equations with Quadratic Formula

Solving quadratic equations using the Quadratic Formula.

Radical Functions

5Module 05 - Radical Equations

Objectives list for Module 5 - Radical Equations.

5.1Objective 1 - Domain

Identify the domain on which a radical function is not defined.

5.2Objective 2 - Graph

Identify the graph of a radical function.

5.3Objective 3 - Solving Radical Equations (Linear)

Solve radical equations that lead to linear equations.

5.4Objective 4 - Solving Radical Equations (Quadratic)

Solve radical equations that lead to quadratic equations.

Polynomial Functions

6Module 06 - Polynomial Equations

Objectives list for Module 6 - Polynomial Equations.

6.1Objective 1 - End and Zero Behavior

Identify the end behavior and zero behavior of a polynomial function.

6.2Objective 2 - Graph Polynomials

Convert between a polynomial function and its graph.

6.3Objective 3 - Lowest-Degree Polynomial

Construct a lowest-degree polynomial given its zeros.

Rational Functions

7Module 07 - Rational Functions

Graphing rational functions and solving rational equations.

7.1Objective 1 - Domain of Rational Functions

Identify the domain of a rational function.

7.2Objective 2 - Graph Rational functions

Convert between a rational function and its graph.

7.3Objective 3 - Solving Rational Equations

Solve rational equations that lead to linear and quadratic equations.

Logarithmic and Exponential Functions

8Module 08 - Logarithmic and Exponential Functions

Objectives list for Module 8 - Logarithmic and Exponential Functions.

8.1Objective 1 - Domain and Range

Describe the domain and range of a logarithmic or exponential function.

8.2Objective 2 - Convert Between Forms

Convert between logarithmic and exponential forms of a function.

8.3Objective 3 - Properties of Logs

Utilize the properties of logarithmic functions to simplify expressions.

8.4Objective 4 - Solve Exponential

Solve exponential equations with the same or different bases.