# Pre-Algebra

## Course Summary

Master pre-algebra and attain math skills you will use for the rest of your life. Students acquire the tools and tricks for tackling everyday math problems such as how to split a six-piece pizza evenly between ten hungry friends or how to calculate sports stats, such as the number of assists a basketball player needs to achieve a triple-double. In this course, gain an in-depth understanding of pre-algebraic principles, including variables, equations, rational numbers, ratios and proportions, and percents.

Pre-algebra courses are *not* eligible for A-G approval.

**Course Prerequisite(s):**Students should have successfully completed middle school mathematics standards through grade 6.

## Curriculum

This is a 2-semester course. We do not recommend taking both semesters simultaneously.

##### 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

##### 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