RESOURCES
Free Resources
Tools & resources worth bookmarking.
A curated collection of the best free math resources for students in 5th–12th grade — and the curious parents who support them.
📚 Section 1
5th–12th Grade Math Resources
Structured learning platforms, video lessons, and practice tools that cover the full K–12 math journey — from fractions to calculus.
Grades 5–12 · Free
Khan Academy
The gold standard for free math learning. Full video lessons + practice exercises from arithmetic all the way through AP Calculus and Statistics. Tracks your progress automatically.
khanacademy.org →
Grades 6–12 · Free
Mathigon
Beautifully designed interactive math textbooks. Topics include algebra, geometry, probability, calculus, and number theory — with animations that make abstract concepts click.
mathigon.org →
Grades 6–12 · Free
AoPS Alcumus
Adaptive problem-solving system from Art of Problem Solving. Adjusts difficulty to your level and covers topics from pre-algebra to olympiad math. Excellent for building real fluency.
artofproblemsolving.com →
Grades K–12 · Free tier
IXL Math
Over 8,000 adaptive skills aligned to standards. Great for targeted practice on specific topics — it adjusts difficulty in real time as you answer.
ixl.com →
Grades 8–12+ · Free tier
Brilliant
Learn math and science through guided problem solving. Covers algebra, calculus, statistics, logic, and more with a beautifully interactive approach. Great for curious, motivated learners.
brilliant.org →
All levels · Free
Wolfram Alpha
Type any math problem and get a full step-by-step solution. Invaluable for checking work, understanding where you went wrong, and exploring mathematical concepts deeply.
wolframalpha.com →
🧪 Section 2
Interactive Learning Tools
Simulations, visual explorers, and hands-on tools that make math feel real. These are best for understanding the “why” behind the formulas.
Geometry · Algebra · Free
GeoGebra
Interactive geometry, algebra, statistics, and calculus tools in one place. Drag points, explore transformations, visualize functions. One of the most powerful free math tools available.
geogebra.org →
Statistics · Applied Math · Free
PhET Math Simulations
University of Colorado’s free interactive simulations for math and statistics. Covers area models, fractions, ratios, proportions, and more through visual, hands-on exploration.
phet.colorado.edu →
Visual Math · All levels · Free
Mathigon Polypad
A virtual math manipulatives canvas — tiles, fractions bars, number lines, algebra tiles, dice, and more. Incredibly fun and tactile for exploring concepts visually.
mathigon.org/polypad →
Grades K–12 · Free
NCTM Illuminations
Interactive activities and lesson plans from the National Council of Teachers of Mathematics. High-quality, standards-aligned tools for exploring concepts from number sense to calculus.
nctm.org →
Fractions · Middle school · Free
Visnos Math
Clean visual demonstrations for fractions, clocks, multiplication tables, and more. Great for middle school students who are visual learners struggling with abstract fraction concepts.
visnos.com →
Grades 5–8 · Free
Math Playground
Logic puzzles, math games, and word problems that genuinely challenge students. Great for sharpening reasoning skills without feeling like homework.
mathplayground.com →
🧮 Section 3
Calculators & Computation Tools
From graphing to scientific to symbolic — these tools handle the computation so students can focus on understanding the math behind the answer.
Graphing · Free
Desmos Graphing Calculator
The best free graphing calculator on the web. Beautiful, intuitive, and used in classrooms everywhere. Also has a geometry tool and scientific calculator.
desmos.com →
Scientific · Free
Desmos Scientific Calculator
A clean, test-friendly scientific calculator. Great for students who need a quick tool without the complexity of the full graphing calculator.
desmos.com/scientific →
TI-84 Emulator · Free
TI-84 Online Emulator
A near-perfect browser-based replica of the TI-84 graphing calculator. Ideal for practicing with the same tool used in standardized tests like the SAT and ACT.
meta-calculator.com →
Step-by-step · Free tier
Symbolab
Step-by-step solver for algebra, calculus, trigonometry, and more. Shows full working so students can learn the process — not just get the answer.
symbolab.com →
Problem solver · Free tier
Mathway
Covers algebra through calculus. Type or photograph a problem and get instant answers. Helpful for checking homework, though understanding the steps matters more than the answer.
mathway.com →
Computation · Free
Wolfram Alpha
Beyond a calculator — it’s a computational knowledge engine. Ask it anything mathematical and it returns full solutions, graphs, alternate forms, and explanations.
wolframalpha.com →
CAS · Free
GeoGebra CAS
Computer Algebra System — solves equations symbolically, factors, simplifies, differentiates, and integrates. Powerful tool for pre-calc and calculus students.
geogebra.org/cas →
All-in-one · Free
Online Calculator Guru
Hundreds of specialized calculators for every math topic — fractions, statistics, matrices, unit conversion, and more. Useful reference when you need a quick specific calculation.
onlinecalculator.guru →
🏆 Section 4
For the Advanced & Ambitious
Math competitions, olympiad training, and deep-dive resources for students who want to go far beyond the standard curriculum.
🌟 A note from me: Competition math builds a completely different kind of thinking than classroom math. Even if your child never competes, working through olympiad problems develops problem-solving confidence that transfers to everything.
Competition Prep · Free
AoPS Wiki
The definitive encyclopedia for competition mathematics. Thousands of problems, full solutions, and theory articles covering AMC, AIME, MATHCOUNTS, and olympiad-level topics.
artofproblemsolving.com/wiki →
Competition Math · Free + Paid
Art of Problem Solving
The premier community and curriculum for competition math. Courses, forums, and a massive library of past contest problems. The place serious math students go to grow.
artofproblemsolving.com →
Middle School · Free
MATHCOUNTS
The most popular math competition program for middle schoolers in the US. Hundreds of free practice problems and past competition materials available on the site.
mathcounts.org →
AMC 8/10/12 · Free
AMC Competitions (MAA)
Official page for the AMC 8, AMC 10, and AMC 12 competitions. Download past exams and solutions going back decades. One of the best free sources of challenging, well-crafted problems.
maa.org →
Olympiad · Free tier
Brilliant — Olympiad Track
Structured olympiad preparation with interactive problem sets. Covers number theory, combinatorics, and geometry at competition depth. More approachable than raw past papers.
brilliant.org →
Problem Sets · Free
Past Competition Archive
A wide collection of past olympiad and competition problems from around the world. Searching “AMC past papers PDF” or “AIME problems archive” also surfaces excellent free resources.
Search: AMC past papers →
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