pre-algebra

33 lessons available · 575 XP to earn

Novice

Build your foundations. No prior knowledge needed.

Whole Numbers & Place ValueWhy a '3' can mean 300 — the genius of position in our base-10 system.

+10 XP

What Fractions Really MeanA fraction is a division you haven't finished — 3/4 is just 3 ÷ 4.

+10 XP

Equivalent Fractions1/2 = 2/4 = 3/6 — different numbers, same amount. Multiply top and bottom by the same thing.

+10 XP

Adding & Subtracting FractionsDifferent-sized slices can't be added — first find a common denominator.

+10 XP

DecimalsDecimals are fractions with denominator 10, 100, 1000 — place value marches right.

+10 XP

PercentPercent = per 100. 50% = 50/100 = 0.5 = 1/2 — three outfits for one value.

+10 XP

RatiosComparing quantities — 3:2 sugar to flour. Part-to-part vs part-to-whole.

+10 XP

ProportionsTwo equal ratios — and cross-multiplication to find the missing piece.

+10 XP

Apprentice

Grow your skills. Start combining ideas.

Finish about half of Novice to unlock

Integers

Absolute Value

Factors & Multiples

Prime Numbers

Exponents

Scientific Notation

Converting Between Forms

Order of Operations

Introduction to Variables

Journeyman

Tackle complex problems with confidence.

Finish about half of Apprentice to unlock

Multi-Step Fraction Problems

Mixed Numbers & Improper Fractions

Percent Problems

Discounts, Tax & Tips

Unit Rates

Scale & Models

Simple Probability

Two-Step Equations Preview

Master

Apply what you've mastered to model the real world.

Finish about half of Journeyman to unlock

Proportional Reasoning

Compound Interest

The Coordinate Plane

Representing Data

Inequalities

Mean, Median & Mode

Patterns & Sequences

Range & IQR