Skip to main content
Join Our List

Pre-Algebra

For Students

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

Enroll Now

For Educators

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

Request Course

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 two-semester course. Each semester requires a commitment of approximately 70 or more hours of coursework. While students may enroll in both semesters within the same term, UC Scout does not recommend this due to the intensive workload, especially during shorter terms like summer.

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