Topics
in
Book 1
Introduction to Functions

Comparing independent and dependent quantities

Function Notation

Representing a function with an equation or a graph

Increasing, decreasing, or constant

The domain and range of a function

More scenarios that involve functions
Topics
in
Book 2
Linear Functions

Review

Plotting Points

SlopeIntercept Form

Standard Form


PointSlope Form

Linear patterns in data and drawing a trend line

Vertical and horizontal lines

Linear inequalities
Topics
in
Book 3
Quadratic Functions

Review factoring

Review simplifying radical expressions

The imaginary number, i

Solve equations using the method of Completing the Square

The Quadratic Formula

Graphing parabolas

Scenarios that involve quadratic relationships

Graphing quadratic inequalities
Topics
in
Book 4
Rational Expressions and Equations

Using disguised forms of 1 to change the appearance of rational expressions

Simplifying rational expressions

Multiplying rational expressions

Dividing rational expressions

Adding rational expressions

Subtracting rational expressions

Solving rational equations
Topics
in
Book 5
Rates: Motion, Work, and Interest

Introduction to scenarios that involve rates

The reciprocal of a rate

Scenarios involving work rates and combined work

Motion scenarios: the relationship between rate, time and distance

Average Speed

Scenarios that involve interest rates
Topics
in
Book 6
Linear and Nonlinear Systems

Review solving systems with graphing

Review solving systems with substitution

Review solving systems with elimination

Scenarios that involve linear systems

Systems of linear inequalities

Solving nonlinear systems

Solving 3variable systems

Writing the equation of a parabola, given 3 points
Topics
in
Book 7
Exponential Functions

Introduction to exponential patterns

Exponential sequences

Connecting exponential growth and percent changes

Exponential decay

Writing an exponential function that models a scenario

Exponents review

Equations review

Writing an exponential function, given 2 points

Graphs of exponential functions

More exponential scenarios
Topics
in
Book 8
The Pythagorean Theorem

Review the Pythagorean Theorem

Deriving the Distance Formula

Using equilateral triangles to form 306090 triangles

Using squares to form 454590 triangles

Scenarios that involve right triangles