        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

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Linear patterns in data and drawing a trend line

• Vertical and horizontal lines

• Linear inequalities

Topics

in

Book 3

• Review factoring

• The imaginary number, i

• Solve equations using the method of Completing the Square

• Graphing parabolas

• Scenarios that involve quadratic relationships

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

• 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 3-variable 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 30-60-90 triangles

• Using squares to form 45-45-90 triangles

• Scenarios that involve right triangles