Math by Grade: What to Learn and When
Every grade band builds on the one before it. Pick a band to see the key topics — and jump straight into the interactive lessons, tools, and worksheets that match.
Kindergarten–Grade 2
Counting, adding, and seeing how numbers fit together. Playful practice matters most here — short, visual, and hands-on.
- Counting, number sense, and place value to 1,000
- Addition and subtraction within 100 — with regrouping
- Shapes, measurement, and telling time
- First multi-step word problems and math facts fluency
Grades 3–5
The fraction and decimal years. Getting these ideas right now prevents years of frustration later — understanding beats memorizing rules.
- Multiplication and division fluency, factors and multiples
- Fraction equivalence, comparing, adding and subtracting
- Decimal place value and operations
- Area, volume, and multi-step word problems
Grades 6–8
Proportional thinking takes over. Ratios, percents, integers, and the first real algebra — the on-ramp to high school math.
- Ratios, rates, and proportional relationships
- Percents: discounts, tax, tips, and percent change
- Integer and rational-number operations
- Exponents, expressions, and one- and two-step equations
Grades 9–12
Functions become the main character. Linear, quadratic, exponential, trigonometric — every course is a new family of functions to understand deeply.
- Linear functions, slope, and systems of equations
- Quadratics: factoring, completing the square, the formula
- Exponential and logarithmic functions
- Trigonometry and function transformations
College
Calculus and beyond. Visualization tools and experimentation help the abstract ideas click — try it before you prove it.
- Precalculus foundations: functions and their transformations
- Limits, derivatives, and their applications
- Integrals and the Fundamental Theorem of Calculus
- Sequences, series, and mathematical modeling
Grade-by-grade guides are coming
Detailed guides like “What Math Should a 5th Grader Know?” and “Is Your 8th Grader Ready for Algebra?” are in the editorial queue and will appear here as they are published.
For now, the band cards above — plus the diagnostic — are the fastest way to find the right starting point.
Not sure where to start?
The Fibo diagnostic pinpoints exactly which topics are solid and which need work — in about 15 minutes.
Take the free diagnostic