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Pre-Algebra

Start your algebra journey here with an introduction to variables and equations.

Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way.

By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.

Interactive
quizzes

21

Concepts and
exercises

165+
  1. 1

    Introduction

    Unify mathematics with visual and verbal thinking.

    1. Thinking With Words and Visuals

      Get a feel for algebraic thinking with these gentle puzzles.

    2. Starting With Variables

      What are variables and what can they do?

    3. Dot Puzzles

      Play with dots in boxes to get an intuition for variables.

  2. 2

    Variables and Algebra Notation

    Take the first steps into algebra.

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      Bar Models

      Use geometric figures to build the ideas of algebra.

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      Variables and Equations

      Learn how equations work and how they interact with variables.

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      Evaluating Expressions

      Work out the meaning of expressions when numbers take the place of variables.

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      Order of Operations

      With what sequence does an expression need to be calculated?

  3. 3

    Simplifying

    Math can often be made simpler, once you know the way.

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      Simplifying Expressions

      Reduce tedious calculations by simplifying!

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      Simplifying with Squared Terms

      Simplify when variable terms are squared.

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      General Simplifying

      Explore numerous other simplification scenarios.

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      Problem Solving

      Practice your simplification chops with this mixed set of problems.

  4. 4

    Factoring and Distribution

    Pull things apart and put things together.

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      Prime Numbers

      Review or learn for the very first time what a prime number is.

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      Factorization

      Find the factors of integers.

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      Using Common Factors

      Extract factors to transform algebraic expressions.

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      The Distributive Property

      Take factorization backwards to learn this useful algebraic technique.

  5. 5

    Equations

    Apply the power of the equal sign.

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      Circle Puzzles

      Solve intuitive and fun puzzles that lead directly to algebra.

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      Linking Puzzles with Equations

      How do circle puzzles transform into algebraic equations?

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      Using Inverses to Solve Equations

      Apply the fundamental technique of algebra solving.

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      Variables on Both Sides

      Untangle equations with variables on both sides of the equal sign.