Experiments

Exploring Algebraic Identities

Visualise (a+b)², (a−b)², cubes, algebra tiles and more with draggable, colour-coded geometric models.

Polynomials Explorer

Play with degree, zeroes, graphs and the zero–coefficient identities of polynomials.

Relations & Functions

Build Cartesian products, draw arrow-diagram relations, test the function rule, and graph the special functions and their algebra.

Linear Equations Pair

Visualize and solve pairs of linear equations using graphical, substitution, and elimination methods with interactive step-by-step guidance.

We Distribute, Yet Things Multiply

Explore geometric proofs for algebraic identities like (a+b)², (a+b)(a-b) and dot patterns.

Complex Numbers Explorer

Plot, add, multiply and rotate complex numbers on a live Argand plane.

Proportional Reasoning-1

Explore image scaling, unequal sharing, and the Rule of Three with cross multiplication.

Quadratic Equations

Draft, factorise and graph quadratic equations on an interactive blueprint table.

Arithmetic Progressions

Spot patterns, build sequences, and race Gauss to the sum on an interactive AP workbench.

Linear Inequalities

Tip the balance, slide the line: solve, graph and combine linear inequalities in one and two variables.

Algebra Play Lab

Try number tricks, pyramids, calendar magic, and divisibility puzzles — and see the algebra behind each.

Binomial Theorem Lab

Grow Pascal's Triangle, build binomial expansions term by term, and use them to crack real approximations.

Sequences & Progressions Lab

Explore sequences, AP & GP rules, Gauss's sum trick, and Sierpiński fractals — all interactive.

Sequences & Series

Grow a family tree of ancestors, build GPs, race sums to infinity, and prove A ≥ G with a semicircle.

Linear Graph

Adjust slope and intercept in y = mx + b to see how the same equation becomes different lines.

Quadratic Graph

Change coefficients in y = ax^2 + bx + c and watch the parabola, vertex, and roots respond.

Polynomials & Linear Equations

Explore polynomials, zeroes, and solve pairs of linear equations graphically and algebraically.

The Polynomial Machine

Build expressions, run the function machine, and see how slope and intercept shape a line.

Circle Sectors & Segments

Sweep the angle and drag the radius to watch sector area, arc length and segment area come alive.

Quadrilaterals from Diagonals

Discover how different quadrilaterals are formed by changing the lengths, intersection, and angle of their diagonals.

Tangent Lab

Drag points and lines to discover how tangents touch a circle, why they're perpendicular to the radius, and why tangent lengths from a point are always equal.

Baudhāyana-Pythagoras Theorem Lab

Double squares, build √2, and discover a² + b² = c² through Baudhāyana's own constructions.

Sector & Segment Lab

Sweep the angle of a sector, watch the arc length and area formulas update live, and see exactly how a segment's area is sector minus triangle.

Solids Combined: Toys, Tents & Tanks

Snap cones, cylinders, spheres and cubes together and watch total surface area and volume update live.

Geometric Themes Explorer

Play with fractals, cube nets, shortest ant-paths, and isometric projections.

Circle Theorems Lab

Drag points and chords to discover why equal chords, perpendicular bisectors, inscribed angles and cyclic quadrilaterals behave the way they do.

Round & Round: Circle Lab

Drag points on a circle to uncover chord, angle and cyclic-quadrilateral theorems yourself.

Measuring Space: π & Area Lab

Unroll circles, squeeze π between polygons, and work out real relay-race staggers by dragging and sliding.

Triangles & Similarity

Drag a proportionality line, sort similarity criteria, and measure a tower by its shadow.

Area Explorer

Interactively discover how area formulas for rectangles, triangles, parallelograms, rhombi and trapeziums are built — plus why perimeter isn't area.

The Surveyor's Grid

Drag points on a blueprint grid to explore the distance formula, section formula, midpoints, equidistant loci, and shape classification.

The Tangent Line Lab

Slide a line toward a circle to find where secants become tangents, drag a point around to see how many tangents it can draw, and build a quadrilateral that circumscribes a circle.

Coordinate Geometry Lab

Investigate distance, midpoint, and section formulas with interactive coordinate points.

Parallel Line Ratios

Explore the Basic Proportionality Theorem with lines parallel to a triangle side.

Where's the Point?

Move a point on a number line or coordinate plane and read its address instantly.

Interactive Rectangle Area Explorer

Open Interactive Rectangle Area Explorer.

The World of Numbers

Explore tally bones, zero, integers, rational density, irrational proofs and cyclic decimals — all in one interactive lab.

Number Play

Explore parity of sums, calculate digital roots, and solve cryptarithm puzzles.

Fractions in Disguise — Percentage Lab

See why percentages are just fractions of 100 — convert, compare, and play with profit, discounts, and compounding.

Ratio & Proportion Lab

Map scales, multi-term ratios, pie charts, and direct vs inverse proportion — all in one interactive playground.

A Square and a Cube

Compare area and volume visually by building squares and cubes from the same number.

A Story of Numbers

Follow the evolution of number systems and place value across history.

Power Play

Explore exponents, powers, and scientific notation through doubling and scale shifts.

Real Numbers Lab

Explore rational and irrational numbers, HCF, LCM, and prime factorization.

Mean, Mode & Median

Edit frequency tables and watch the mean, modal class and median class compute themselves — plus ogives that find the median graphically.

Dots & Lines Data Lab

Explore how mean and median behave, build frequency tables, plot line graphs, and play Hex.

The Mathematics of Maybe

Slide the probability scale, roll dice to watch the Law of Large Numbers, build tree diagrams, and catch the gambler's fallacy in the act.

Assumed Mean Explorer

Shift grouped data around an assumed mean to make average calculations faster.

Median & Ogive Explorer

Trace a cumulative frequency curve and read the median from the graph.

Mode Formula Explorer

Use histogram bars and crossing lines to see how grouped-data mode is located.

The Angle-Sighting Deck

Drag a sighting line to explore trigonometric ratios, see why they don't depend on triangle size, build the 0°–90° table, and verify the trig identities live.

Trig Cheat Sheet

Drag an angle around the unit circle, verify identities and angle-sum formulas with live numbers, and solve triangles with the Law of Sines & Cosines.

Trigonometric Functions

Explore angles, the unit circle, quadrant signs, graphs and trig identities interactively.

The Surveyor's Sightline

Aim a line of sight at towers, flagstaffs and riverbanks to see how angles of elevation and depression solve real heights and distances.

Shadow Math

Use similar triangles and trigonometry to solve real-world shadow problems.

Sine Wave Explorer

Graph and explore amplitude, period, and key points of the sine function.

Coins, Dice & Cards

Toss coins, roll dice, draw cards and balls, and watch theoretical probability line up with what actually happens.

Permutations & Combinations

Visually explore counting, factorials, permutations and combinations with interactive tree diagrams and slot-fillers.

Set Theory Lab

Build sets, drag elements into Venn diagrams, and watch union, intersection, complement and De Morgan's laws come alive.