Topics
in
Book 1
Section 1: Percentages

Introduction to percentages

Percentage changes: increases and decreases

Writing equations to calculate percentages

Scenarios that involve percentages
Section 2: Introduction to Rates

Introduction to rates

Using graphs to calculate rates

Rates in equations
Topics
in
Book 2
Linear Relationships

Plotting points on a graph

Graphing a line using an equation and a Tchart

Graphing a line using its x and yintercepts

Constant rates

Slope Writing a line’s equation in SlopeIntercept Form

Scenarios that involve linear equations
Topics
in
Book 3
Properties of Exponents

The Product Rule: multiplying expressions with exponents

The Quotient Rule: dividing expressions with exponents

The Power Rule: raising an exponent to an exponent

Negative exponents

Evaluating expressions, both with and without a calculator
Topics
in
Book 4
Operations with Polynomials

Introduction to polynomials

Defining monomials, binomials, and trinomials

Adding polynomials

Subtracting polynomials

Multiplying polynomials

Difference of two squares

Squaring a binomial
Topics
in
Book 5
Factoring Polynomials

Review multiplying polynomials

Review factoring out the greatest common factor

Factoring trinomials

Factoring a difference of two squares

Factoring perfect square trinomials

Using factoring to solve quadratic equations

Scenarios that are modeled by quadratic equations

Using factoring to simplify fractions

Introduction to graphing parabolas
Topics
in
Book 6
Systems of Equations

Introduction to intersecting lines

Using equations to find the intersection point

The Substitution Method

The Elimination Method

When two lines do not intersect at a single point

Scenarios that involve systems of equations

Systems of linear inequalities

Additional Scenarios
Topics
in
Book 7
Radical Expressions and Equations

Review exponents and square roots

Rational and irrational numbers

Simplifying radical expressions

Adding and subtracting radical expressions

Multiplying radical expressions

Dividing radical expressions

Solving radical equations

Using a disguised form of 1 to rationalize a denominator

The Pythagorean Theorem