What to Learn Before Algebra 1: The Skills It Is Built On

What Algebra 1 covers

On the usual US pathway, Algebra 1 is the 9th grade course (some students take it in 8th). On Knomi's Grade 9 map it is 31 topics in seven units: expressions and equations, lines and systems, functions, exponential functions, polynomials and quadratics, quadratic functions, and statistics. The first two units revisit 8th grade ideas and ask for more: not just solving an equation, but explaining why each step is allowed.

That is why readiness matters so much. Algebra 1 assumes the 6th to 8th grade skills are automatic, so a student can think about the new idea instead of the arithmetic inside it.

The readiness checklist

These are the middle school topics that Algebra 1 subtopics on Knomi's map name as direct prerequisites. If your child can do a typical problem from each quickly and correctly, they are ready.

Numbers: negatives, fractions, exponents

• Multiplying and dividing integers (Grade 7): −3 × −4 = 12, and why.
• Adding and subtracting rational numbers (Grade 7): −2/3 + 5/6, or 4.5 − (−1.2).
• Exponents (Grade 6) and integer exponents (Grade 8): 2³ = 8, and 5⁻² = 1/25.
• Square and cube roots (Grade 8): √49 = 7, and that √50 is a little more than 7.

Expressions and equations

• Linear expressions (Grade 7): simplify 3(2x − 5) + 4x, and factor 6x − 15 as 3(2x − 5).
• One-step equations (Grade 6): what a solution is, and how to check one.
• Two-step word problems (Grade 7): turn a story into an equation before solving it.
• Multi-step equations (Grade 8): variables on both sides, parentheses, fractions and decimals.
• Inequalities (Grade 6): what x > 3 means, and how to show it on a number line.

Lines and functions

• Unit rates (Grade 6): the idea under slope, "how much per one".
• Slope-intercept form (Grade 8): read slope and intercept from y = 2x + 3, and graph it.
• Linear functions (Grade 8): a function as a rule, with tables, graphs and equations that match.

How deep the chain goes

Here is one real path on Knomi's maps, from a 3rd grade skill up to an Algebra 1 subtopic. Every step is a prerequisite of the one above it, directly or through others.

This is why a student can be "bad at algebra" in 9th grade because of something from 3rd or 5th grade. Fractions are a big one: research has found that fraction knowledge around age 10 predicts algebra success years later. Our guide on why fractions are so hard shows that part of the chain.

How to check readiness at home

1. Pick one problem from each checklist line (a textbook, last year's homework or a free worksheet works).
2. Watch, do not help. Note which ones are slow, wrong, or done by a method your child cannot explain.
3. For each weak one, step down. Try the skill it rests on. Our guide on finding a math gap shows how.
4. Fix the lowest weak skill first, in short daily sessions, then move up the checklist.

Using Knomi to get ready

Knomi has a full lesson for every topic in Grades 3 to 8, including every topic on the checklist above. The Grade 9 map is open to look around, with its lessons on the way. A student can work through the Grade 7 and Grade 8 topics that feed Algebra 1, and when they keep missing the same kind of problem, Knomi traces it to the earlier skill and reviews that first. See every 8th grade topic in order in what an 8th grader learns in math.