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Pre-Algebra

Basic & On Demand

Enrollment for Basic and On Demand courses is open on a rolling basis.

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Plus

Teachers can use the complete Plus course curriculum for flexible instruction.

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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.

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