New · Fun Math

Free Visual Math Manipulatives and Interactive Models

No submit buttons. No timers. Just figures you can drag, slice, and shade until the formula makes sense at a glance.

Standalone visual games for Olympiad models, place value, fractions, ratios, geometry, algebra, and data — separate from the graded lesson tree.

Search intent map

Find the right visual model by the problem behind the search.

The Fun Math index now routes broad searches like virtual math manipulatives, circle area animation, equivalent fraction bars, and embeddable math tools into the demo, grade topic, or guide that solves the actual learning gap.

Teacher embeds

Embed a visual model before the worksheet

For searches like free virtual math manipulatives, embeddable math tools, math warm-up games, and Chromebook math centers.

Teachers who need one projector-ready model, not a full lesson platform.

Multiplication and division

Make groups, arrays, partial products, and remainders visible

For students who can recite facts but cannot explain equal groups, area models, long division, or why the algorithm works.

Grades 3-5 students moving from visual groups into multi-digit algorithms.

Fractions, ratios, and percent

Keep the whole, the comparison, and the percent base visible

For fraction bars, equivalent fractions, percent grid, ratio tape diagrams, and proportional reasoning searches.

Grades 3-6 students who know rules before they understand the unit or ratio relationship.

Geometry formulas

Derive area, perimeter, volume, and circle formulas from motion

For circle area animation, pi r squared explained, composite figure area, Pythagorean theorem game, and surface area model searches.

Students who memorize formulas but cannot explain the shape decomposition behind them.

Olympiad models

Turn contest-style word problems into controlled visual moves

For chicken-rabbit, cow grazing, square formation, inclusion-exclusion, pursuit, and counting-principle puzzle searches.

Upper-elementary students preparing for richer word problems and math contests.

Algebra readiness

Show expression structure before formal algebra

For order of operations tree, equation balance, expression tiles, coordinate plane, and pre-algebra visual model searches.

Grades 5-6 students who need structure before symbolic fluency.

After choosing a model

Route visual play back into indexable curriculum pages.

Fun Math should not be an isolated game library. Each model now points readers toward the teacher hub, parent help, grade topics, guides, or embeddable classroom route that gives Google a clearer topical graph.

All visual demos

Open any standalone math playground.

Use the full grid when you already know the model you want: area, fractions, number lines, ratios, algebra tiles, coordinate planes, statistics, or Olympiad puzzle structures.

🔮 Number Theory

Sieve of Eratosthenes

Hunt every prime by elimination

Tap the smallest active number — its multiples chain-collapse to gray. Four levels build from 1–30 up to a 1–100 speedrun where the optimal play is exactly four primes: 2, 3, 5, 7.

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🟦 Olympiad

Honor Guard Formation

Square numbers and the 4(n−1) ring

Build solid squares from a slider, then hollow them out one layer at a time. The outer ring lights up edge by edge so the 4(n−1) formula reveals itself. Four levels: build, predict, decide, and a 3-layer parade-square story problem.

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🐔 Olympiad

Chicken & Rabbit Cage

Classic Olympiad model

Keep the head count fixed, then swap one chicken into one rabbit. Legs jump by two each time, so the hidden mix becomes visible.

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🐄 Olympiad

Cows on the Meadow

Newton's grazing problem, animated

Drag cows onto a meadow that regrows daily. Each day grass grows by g and N cows eat — so Δ = g − N becomes a meter you can watch breathe. Four levels build the cow grazing problem (牛吃草问题) up to a leaky water tank.

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💎 Olympiad

Gem Vault Balance

Sum-difference-multiple bar model

Pull the gold bonus gap out of a larger vault, then watch the remaining blue energy split into equal units. The classic 和差倍 bar model becomes a hands-on vault puzzle.

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🏁 Olympiad

Catch-Up Track

Distance gap divided by speed gap

Launch two racers on the same track, drop a catch marker, and watch the remaining distance shrink by the speed difference until pursuit time becomes visible.

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🌳 Olympiad

Tree Spacing Lab

Intervals and endpoints

Plant trees along a road or around a park loop. Intervals light up first, then endpoint rules decide whether the tree count is gaps plus one, equal, or minus one.

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🎟️ Olympiad

Venn Overlap Lab

Why the overlap is subtracted once

Drag badges into two club circles, run left and right scanners, and watch overlap badges flash red when they get counted twice. The repair move becomes visual: A + B − both.

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🏗️ Olympiad

Pattern Growth Lab

Find rules by watching new growth

Feed a growth factory one layer at a time. Fresh tiles glow as the first difference, so stair, border, and handshake patterns reveal their rule through motion.

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🕵️ Olympiad

Cheat or Repeat

Pattern patrol speedrun

Swipe each test paper left for cheat, right for repeat — and catch the fake number sequences before the proctor's timer runs out. A pattern-recognition fluency trainer with four levels: patrol, forecast, disambiguate, and a bait trap that lets you fool the AI.

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🚪 Olympiad

Choice Tree Builder

Counting principle through splitting paths

Open choice gates and watch every route split into new teams. Add a slot, predict the path explosion, then collapse the tree into a multiplication expression.

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⚗️ Ratios

Ratio Reactor Relay

Equivalent ratios in motion

Tune two streams, launch the reactor, and watch the tokens group into repeated batches. The game only locks when the ratio and the total both match.

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🧮 Number & Algebra

Area Model Multiplication

Split and conquer big numbers

Watch a multiplication grid fracture into four partial products. 12×13 becomes (10+2)(10+3) — four small areas that sum to the total.

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🔟 Place Value

Base-Ten Block Builder

Place value you can build

Trade hundreds, tens, and ones until 347 appears. Digits stop being symbols and become physical bundles.

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➡️ Number Sense

Number Line Hopper

Addition as motion

Hop by equal steps and leave a trail on the line. Forward, backward, distance, and direction become one visual idea.

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🕐 Measurement

Clock Trainer

Time as rotating hands

Turn the minute hand in five-minute jumps and watch the hour hand move with it. Time becomes motion, not decoding.

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🔢 Number & Algebra

Array Builder

Rows, columns, multiplication

Build equal rows and see why 4×6 is not a magic fact — it is a rectangle of 24 dots.

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🍬 Number & Algebra

Groups Sharing Lab

Division as equal sharing

Create groups, fill them evenly, and feel the difference between “how many groups” and “how many in each group.”

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🍫 Fractions

Fraction Partition Lab

Equal parts of one whole

Split one bar into equal parts and shade any fraction. The denominator changes the size of each piece.

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🟩 Geometry

Grid Tiling & Boundary

Area versus perimeter

Change rows and columns while area and perimeter update separately. Inside space and outside distance stop blending together.

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📦 Number & Algebra

Partial Products Box

Why multi-digit multiplication works

Break 23×14 into place-value rectangles. The standard algorithm becomes a visible area model.

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Number & Algebra

Long Division Stepper

Quotient and remainder in context

Reveal quotient, product, subtraction, and remainder one stage at a time. Long division becomes a sequence, not a wall of marks.

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📐 Measurement

Angle Protractor Lab

Degrees as rotation

Rotate a ray freely and read the protractor from the baseline.

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💯 Ratios

Percent Grid Lab

Percent means per 100

Shade a 10×10 grid and see 35%, 35/100, and 0.35 as the same amount.

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🧭 Geometry

Coordinate Plane Navigator

x first, then y

Move across signed x and y axes to land in the right quadrant. Ordered pairs become travel instructions.

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🧊 Geometry

Cube Stacker Volume

Length × width × height

Stack unit cubes into layers and see volume grow from base area times height.

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⚖️ Number & Algebra

Equation Balance Lab

Do the same to both sides

Balance x + 7 = 19 by removing the same amount from each side. Equation solving becomes symmetry.

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📦 Geometry

Surface Net Unfolder

Surface area as a wrapper

Unfold a prism into six visible rectangles. Surface area separates from volume.

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🌳 Number & Algebra

Order of Ops Tree

Collapse the expression in order

Collapse the inner operation first, then the root. PEMDAS turns into a two-stage computation tree.

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📊 Ratios

Ratio Tape Diagram

Scale both bars together

Grow two bars together and see why equivalent ratios preserve shape, not difference.

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🧩 Number & Algebra

GCF / LCM Venn Lab

Sort factors before calculating

Watch factor chips sort into a Venn diagram and discover the greatest common factor by intersection.

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📈 Data

Bar Chart Builder

Data you can raise and lower

Raise and lower each bar, then compare categories by visual height before calculating.

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🔤 Number & Algebra

Expression Tiles Lab

Variables become objects

Build 3x + 5 from x-tiles and unit tiles. Coefficients and constants stop being abstract marks.

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🍕 Geometry

Where Does πr² Come From?

Slice, rearrange, discover

Cut a circle into 32 wedges and stagger them into a near-perfect parallelogram. The area formula reveals itself — no memorization required.

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Geometry

Drag the Radius, Feel r²

See area grow quadratically

Watch the gold r×r square in the corner. Each time the radius grows by one unit, a whole new ring of squares appears — that is r² getting bigger.

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🔪 Geometry

Unroll a Circle into a Rectangle

From 4 slices to 32

Add slices and watch the curved edge straighten. By 32 wedges the circle becomes a rectangle of base πr and height r.

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🌸 Geometry

Four Quarter-Circles in a Square

Compose the leftover region

A 6×6 square with quarter-circles bitten out of every corner. The leftover white piece in the middle is exactly 36 − 9π.

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🎯 Geometry

Square Minus Inscribed Circle

Compute the four corner gaps

Carve the largest possible circle from an 8×8 pizza. The four leftover corners add up to roughly 13.73 — and the ratio is always π/4.

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🏟️ Geometry

Stadium-Shape Area

Decompose an athletic track

A rectangle plus two half-circles equals one full circle plus a rectangle. Once you see the structure, the formula is obvious.

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📐 Geometry

Pythagorean Theorem — a² + b² = c²

Watch the squares fill and flow

Build squares on all three sides of a right triangle, then watch the area of the two smaller squares flow into the largest one. The 2500-year-old proof, animated.

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📏 Number & Algebra

Equivalent Fraction Bars

Same amount, different denominators

Stacked bars all showing the same proportional amount. Slide numerator and denominator — green dots mark exact equivalents, pink bars show approximations.

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🧩 Geometry

Pythagorean Tile Forge

Guess c, then watch area move

Choose the missing hypotenuse, then launch a tile animation that carries a² and b² into c². A separate Pythagorean theorem game, built as its own H5 page.

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For Teachers · Free

Embed these manipulatives in your classroom site.

Every Fun Math tool runs as a standalone iframe — drop one into Google Sites, WordPress, Notion, Weebly, Canvas, or any HTML page. No signup, no ads, no tracking, no LMS plugin. Just paste and go.

  • Works on phones and Chromebooks — fully responsive
  • CCSS-aligned across grades 1–9
  • Free to use, embed, and remix in any educational context
  1. 1 Open any tool from the grid above.
  2. 2 Click the ⧉ Embed on your site button.
  3. 3 Copy the iframe snippet and paste it anywhere HTML is accepted.
<!-- Drop this into any HTML page -->
<iframe
  src="https://inquiryai.zogmath.com/embed/{slug}/"
  width="100%"
  height="600"
  loading="lazy"
></iframe>

Replace {slug} with any tool slug — or use the button to copy a ready-made snippet for that specific demo.

Why visual math beats memorization

Most students memorize πr² without ever seeing where it comes from. Fun Math reverses that — every formula here is something you can drag, slice, or shade until the geometry clicks.

Built for intuition

Each demo strips a geometry concept down to a single moving picture. No grading, no timer, no submit button — just the part of the problem your eyes can solve before your pencil does.

Aligned with CCSS

Demos map to Common Core ideas across Grades 1–9, but they live here as standalone H5 playgrounds instead of graded curriculum missions.

For curious learners

Designed for middle-schoolers, homeschool parents, and tutors who want the "aha" moment behind formulas like area = πr², circumference = 2πr, and the area of a stadium-shaped track.

Pairs with practice

New gameplay starts here first. These demos can later inform curriculum work, but the Fun Math route stays independent from the graded lesson system.

What you'll explore

Every demo is a self-contained playground covering one math idea — animated, draggable, and ready in seconds.

  • Solve chicken-rabbit cage puzzles by swapping bodies while the head count stays fixed.
  • Build equivalent ratios by launching two animated streams into a reactor.
  • Derive the circle area formula by rearranging slices into a parallelogram.
  • Watch r² grow as you drag the radius slider from 1 to 5.
  • See a circle morph into a rectangle as the slice count climbs.
  • Solve composite figures with quarter-circles and inscribed circles.
  • Compute the area of a running track using shape decomposition.
  • Build place value, Olympiad models, fractions, ratios, algebra tiles, coordinate planes, volume, and statistics as separate games.
FAQ

Frequently asked about Fun Math

01 Is Fun Math free to use?

Yes. Every demo loads instantly in your browser — no signup, no paywall, no ads, no tracking.

02 Which grades is Fun Math designed for?

The geometry demos target Grades 4–7, but the visual approach helps anyone — including high-schoolers reviewing fundamentals or adults relearning circle math, ratios, and algebra.

03 Do I need an account to track progress?

No. Fun Math has no scoring, no progress tracking, and no LMS sync. It is a separate visual playground for new interaction ideas — open it, play, close it.

04 How is this different from a textbook diagram?

Textbook figures are frozen. These move — you control the radius, the slice count, the chicken-rabbit swap, and the shading, so the formula is not a fact you memorize but a pattern you discover.

05 Can I embed Fun Math demos in my classroom site?

Yes. Open any tool and click the “Embed on your site” button to copy a ready-made iframe snippet. Works on Google Sites, WordPress, Notion, Canvas, Weebly, or any HTML page — no plugins or LMS integration required.

06 Are these games aligned with Common Core?

Yes. Each demo maps to one or more Common Core State Standards across Grades 1–9, but lives here as a standalone H5 playground rather than a graded curriculum mission.