2D/3D simulationVery High
Matrix Transformation Visualizer
Visualize how a 2×2 matrix rotates, scales, shears, and reflects the plane.
Search topicmatrix transformation visualizer
Open simulation →← Subjects
Mathematics
See abstract relationships move, rotate, and reshape.
Manipulate geometry, probability, functions, calculus, and transformations so mathematical relationships become observable objects.
Grades 7–1212 interactive labs4 core concept groups
GeometryFunctionsProbabilityCalculus
Learning objectives
- ✓Connect symbolic, graphical, and geometric representations
- ✓Interpret how parameters transform mathematical objects
- ✓Use visual evidence to explain rates, area, and probability
Inquiry question
What stays invariant when a mathematical representation changes?Use this question to guide observations across the subject.
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High-opportunity learning experiences
These labs are surfaced first because their topic is especially well suited to an interactive explanation and focused search intent.
Complete lab collection
12 ways to practice the subject.
Use the guided foundational labs first, then move into focused simulations, games, and 3D explorers.
Lab 01 · Vector lab
Vector Playground
Learning outcomeBuild and add vectors by reasoning from components and direction.
Magnitude · direction · components · addition
Beginner5–10 min
Start lab →Lab 02 · Graph lab
Function Explorer
Learning outcomeConnect quadratic coefficients with graph shape, position, and roots.
Quadratics · coefficients · roots · graphs
Beginner5–10 min
Start lab →Lab 03 · 3D simulation
3D Geometry Slice Explorer
Learning outcomePredict the 2D cross section created when a plane slices a 3D solid.
Cross sections · solids · planes · geometry
SEO topiccross sections of 3D shapes interactive
Intermediate7–12 minVery High
Start lab →Lab 04 · Math game
Pythagorean Theorem Puzzle
Learning outcomeUse area and distance relationships to solve right-triangle puzzles.
Right triangles · squares · distance · a²+b²=c²
SEO topicPythagorean theorem game
Beginner6–10 minHigh
Start lab →Lab 05 · Math game
Unit Circle Challenge
Learning outcomeConnect angles with unit-circle coordinates, sine, and cosine.
Radians · sine · cosine · coordinates
SEO topicunit circle game
Intermediate7–12 minHigh
Start lab →Lab 06 · Graph game
Quadratic Transformation Challenge
Learning outcomeMatch target parabolas by changing quadratic transformation parameters.
Vertex form · translations · stretches · reflections
SEO topicquadratic transformation game
Intermediate7–12 minVery High
Start lab →Lab 07 · Graph game
Slope Intercept Challenge
Learning outcomeBuild linear equations that match target lines from slope and intercept clues.
Slope · intercept · linear equations · graphing
SEO topicslope intercept game
Beginner6–10 minHigh
Start lab →Lab 08 · Interactive game
Geometry Transformation Game
Learning outcomeApply transformations to move a figure onto a target while preserving specified properties.
Translation · rotation · reflection · dilation
SEO topictransformations geometry game
Beginner7–12 minHigh
Start lab →Lab 09 · Simulation
Probability Experiment Lab
Learning outcomeCompare experimental and theoretical probability as the number of trials increases.
Experimental probability · theoretical probability · sample size · randomness
SEO topicprobability simulator dice coins
Beginner6–12 minVery High
Start lab →Lab 10 · Simulation
Derivative & Tangent Simulator
Learning outcomeConnect the derivative at a point with the slope of the tangent line.
Derivative · slope · tangent line · rate of change
SEO topicderivative tangent line simulator
Advanced8–15 minVery High
Start lab →Lab 11 · Simulation
Area Under Curve Explorer
Learning outcomeApproximate area with Riemann sums and observe convergence toward a definite integral.
Riemann sums · definite integral · rectangles · area
SEO topicRiemann sum simulator
Advanced8–15 minVery High
Start lab →Lab 12 · 2D/3D simulation
PriorityMatrix Transformation Visualizer
Learning outcomeVisualize how a 2×2 matrix rotates, scales, shears, and reflects the plane.
Matrices · linear transformations · basis vectors · determinant
SEO topicmatrix transformation visualizer
Advanced8–15 minVery High
Start lab →Study strategy