← All courses x x x Foundations
The bridge from arithmetic to algebra: integers, fractions, decimals and percents made rigorous, then variables, equations, the coordinate plane and basic geometry.
Before this: Grade 6 What you'll be able to do
Translate words into expressions and equations Solve one- and two-step equations and inequalities Use proportions, percents and exponent rules Read and draw graphs on the coordinate plane Start the course
Go through each topic step by step — prose, worked examples, quick checks, and a timed practice round after every section.
Every test ends with a score by topic and a list of what to revisit. Test out of a topic with 80% or better to mark it mastered.
Topics 1. Core Ideas in Plain Terms
5 lessons The foundations, in everyday language
2. Introduction to Algebra
10 lessons Variables, expressions, properties, and simplifying
3. Equations & Inequalities
12 lessons Solving one-step and two-step equations and inequalities
4. The Coordinate Plane
9 lessons Points, quadrants, tables, and graphing lines
5. Geometry Basics
10 lessons Points, angles, shapes, and the formulas that measure them
6. Data, Statistics & Probability
10 lessons Measures of center and spread, reading and making graphs, interpreting data, and finding the probability of events as fractions, decimals, and percents
7. Whole Numbers & Operations
10 lessons Place value, rounding, the four operations, order of operations, and exponents
Everything you need to know about negative numbers
9. Factors & Multiples
10 lessons Everything about factors, multiples, primes, GCF, and LCM
Everything you need to master parts of a whole
Everything you need to master decimal place value, operations, and word problems
12. Ratios, Rates & Proportions
9 lessons Writing and simplifying ratios, equivalent ratios, unit rates and best buys, solving proportions, scale drawings, and similar figures
What percent means, converting among fractions/decimals/percents, the three percent problems, percent change, and real-world money math
14. Rational Numbers
11 lessons Fractions and decimals, positive and negative, all in one family
15. Exponents & Roots
11 lessons Powers, exponent rules, scientific notation, square roots, and order of operations
16. Course Review
14 lessons All 14 topics: definitions, rules, and formulas for whole numbers through statistics and probability