# Pre-Algebra

Pre-Algebra is the math you’ll use for the rest of your life. In fact, you’re already using it. Ever had to split a six-piece pizza between ten hungry friends? How about figuring out how many more assists you need for that triple-double? This is Pre-Algebra, and in this class, you’ll get the tools and tricks to tackle the types of math problems you deal with daily. This course can be used to supplement a face-to-face Pre-Algebra course.

*Please note: Pre-Algebra courses are not eligible for A-G approval.

** RECOMMENDED PRE-REQUISITE**: Completion of Mathematics standards through 6th grade.

Basic and On Demand are always open for registration.

Plus courses are created upon request.

## SEMESTER 1

**Unit 1: Variables, Expressions, and Integers**

- Expressions and Variables
- Powers and Exponents
- Order of Operations
- Comparing and Ordering Integers
- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- The Coordinate Plane

**Unit 2: Solving Equations**

- Properties and Operations
- The Distributive Property
- Simplifying Variable Expressions
- Variables and Equations
- Solving Equations Using Addition or Subtraction
- Solving Equations Using Multiplication or Division
- Solving Two-Step Equations
- Solving Multi-Step Equations

**Unit 3: Solving Inequalities**

- Inequalities
- Solving Inequalities Using Addition or Subtraction
- Solving Inequalities Using Multiplication or Division
- Solving Multi-Step Inequalities

**Unit 4: Factors, Fractions, and Exponents**

- Factors and Prime Factorization
- Greatest Common Factor
- Equivalent Fractions
- Least Common Multiple
- Rules of Exponents
- Negative and Zero Exponents
- Scientific Notation

**Unit 5: Rational Numbers**

- Rational Numbers
- Adding and Subtracting Fractions with a Common Denominator
- Adding and Subtracting Fractions with Different Denominators
- Multiplying Fractions
- Dividing Fractions

**Unit 6: Linear Equations and Functions**

- Relations and Functions
- Linear Equations in Two Variables
- Using Intercepts
- The Slope of a Line
- Slope-Intercept Form
- Writing Linear Equations
- Function Notation

## SEMESTER 2

**Unit 7: Ratios and Proportions**

- Ratios and Rates
- Writing and Solving Proportions
- Solving Proportions Using Cross Products
- Similar and Congruent Figures
- Similarity and Measurement
- Scale Drawings

**Unit 8: Percents**

- Percents and Fractions
- Percents and Proportions
- Percents and Decimals
- The Percent Equation
- Percent of Change
- Percent Applications

**Unit 9: Real Numbers and Right Triangles**

- Square Roots
- Simplifying Square Roots
- The Pythagorean Theorem
- Real Numbers
- The Distance and Midpoint Formulas

**Unit 10: Measurement, Area, and Volume**

- Triangles
- Polygons and Quadrilaterals
- Areas of Parallelograms and Trapezoids
- Circumference and Area of a Circle
- Surface Area
- Volume

**Unit 11: Angle Relationships and Transformations**

- Angle Relationships
- Angles and Parallel Lines
- Angles and Polygons
- Translations
- Reflections
- Rotations
- Dilations

**Unit 12: Data Analysis**

- Stem-and-Leaf Plots and Histograms
- Box-and-Whisker Plots
- Collecting Data
- Interpreting Data