Section 1: Percentages

• Introduction to percentages

• Percentage changes: increases and decreases

• Writing equations to calculate percentages

• Scenarios that involve percentages

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Section 2: Introduction to Rates

• Introduction to rates

• Using graphs to calculate rates

• Rates in equations

​Linear Relationships

• Plotting points on a graph

• Graphing a line using an equation and a T-chart

• Graphing a line using its x- and y-intercepts

• Constant rates

• Slope Writing a line’s equation in Slope-Intercept Form

• Scenarios that involve linear equations

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

​Operations with Polynomials

• Introduction to polynomials

• Defining monomials, binomials, and trinomials

• Adding polynomials

• Subtracting polynomials

• Multiplying polynomials

• Difference of two squares

• Squaring a binomial

​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

​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

​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