Mathematics
Functions, geometry, statistics and probability
Primary school6/16
FreePlace Value
Build numbers with ones, tens, hundreds and thousands
Multiplication Arrays
Build rows and columns to see times tables
FreeEquivalent Fractions
Compare fraction strips and find fractions that are equal
Telling the Time
Move the clock hands and read analog and digital time
Lines of Symmetry
Fold shapes and find their mirror lines
Chance and Likelihood
Spin spinners and describe outcomes as likely or unlikely
Coming soonNumber Bonds
Split numbers and find pairs that make 10 and 100
Coming soonAdding and Subtracting on a Number Line
Jump forward and back to add and subtract
Coming soonDivision as Sharing
Share objects equally and find the remainder
Coming soonMeasuring Length
Measure objects with a ruler in centimetres and inches
Coming soon2D Shapes
Sort shapes by sides, corners and symmetry
Coming soon3D Shapes
Count faces, edges and vertices of solids
Coming soonAngles and Turns
Turn by quarter, half and full turns and measure angles
Coming soonPictograms and Bar Charts
Collect data and draw a chart
Coming soonNumber Patterns
Find the rule and continue a sequence
Coming soonRounding Numbers
Round to the nearest ten, hundred and thousand on a number line
Middle school4/37
Linear Functions
Adjust the slope and intercept
Quadratic Functions
Adjust a, b and c and watch the parabola, vertex and roots
FreePythagorean Theorem
Change the sides of a right triangle and compare the squares
Nets of Solids
Fold flat nets into cubes, prisms and pyramids
Coming soonInverse Proportion Functions
Adjust k and watch the hyperbola
Coming soonCongruent Triangles
Translate, rotate and reflect shapes
Coming soonSimilar Triangles
Change side lengths and observe the ratios
Coming soonInscribed and Central Angles
Drag a point on the circle and compare the angles
Coming soonGeometric Transformations
Rotate, reflect and translate shapes
Coming soonStatistical Charts
Enter data and build different charts
Coming soonProbability Experiments
Roll dice, flip coins and track frequencies
Coming soonIntegers on the Number Line
Add and subtract by moving along the line
Coming soonVisual Fractions
Split shapes and compare equivalent fractions
Coming soonRatio and Proportion
Scale recipes and maps with equal ratios
Coming soonPercentages
Model discounts, growth and percent change
Coming soonSolving Equations with a Balance
Keep the scale level while solving
Coming soonAlgebra Tiles
Expand and factor with area models
Coming soonSystems of Linear Equations
Find where two lines cross
Coming soonLinear Inequalities
Shade solutions on the number line and the plane
Coming soonAngles and Parallel Lines
Move a transversal and compare the angles
Coming soonTriangle Angle Sum
Tear off the corners and line them up
Coming soonPolygon Interior Angles
Add sides and watch the angle sum grow
Coming soonTriangle Centers
Drag the vertices to move the centroid and circumcenter
Coming soonArea of a Circle
Unroll a circle into a rectangle
Coming soonEstimating Pi
Throw random points into a square
Coming soonArea and Perimeter
Reshape a rectangle with a fixed perimeter
Coming soonVolume of Prisms and Cylinders
Stack layers to find the volume
Coming soonSymmetry and Tessellations
Tile the plane with repeating shapes
Coming soonMean, Median and Mode
Drag data points and watch the averages move
Coming soonScatter Plots and Correlation
Add points and fit a trend line
Coming soonBox Plots and Spread
Compare quartiles and outliers
Coming soonTree Diagrams
Branch the outcomes and multiply probabilities
Coming soonScientific Notation and Powers of Ten
Zoom from atoms to galaxies one power of ten at a time
Coming soonSquare Roots and Irrational Numbers
Build squares and place their roots on the number line
Coming soonThe Coordinate Plane
Plot points and read coordinates in all four quadrants
Coming soonCompass and Straightedge Constructions
Bisect angles and draw perpendiculars step by step
Coming soonSimple and Compound Interest
Grow savings over time and compare the two curves
High school8/38
Trigonometric Functions
Link the unit circle to the sine and cosine waves
FreeDerivatives
Drag the tangent point and read the slope
Definite Integrals
Change the bounds and watch the area accumulate
Conic Sections
Adjust parameters for ellipses and hyperbolas
Taylor Polynomials
Add terms and approximate a curve
Matrix Transformations
Change a 2x2 matrix and transform the grid
Binomial Distribution
Change the number of trials and the success probability
Central Limit Theorem
Average many samples and watch a bell curve appear
Coming soonExponential and Logarithmic Functions
Change the base and compare the graphs
Coming soonArithmetic and Geometric Series
Watch partial sums grow
Coming soonVector Operations
Drag vectors to add and project them
Coming soonSolid Geometry
Rotate pyramids, cones and spheres in 3D
Coming soonNormal Distribution
Adjust the mean and standard deviation
Coming soonRandom Sampling
Simulate sampling distributions
Coming soonFunction Transformations
Shift, stretch and reflect any graph
Coming soonAbsolute Value Functions
Fold a line at zero and shift it
Coming soonPower Functions
Change the exponent and compare the curves
Coming soonPolynomial Graphs
Move the roots and watch the curve follow
Coming soonInverse Functions
Reflect a function across the line y = x
Coming soonComposite Functions
Chain two functions and trace the input
Coming soonLimits
Zoom in on a point and watch the value settle
Coming soonMaxima and Minima
Use the derivative to find turning points
Coming soonLaws of Sines and Cosines
Solve any triangle from its sides and angles
Coming soonPolar Coordinates
Draw roses and spirals in polar form
Coming soonParametric Curves
Roll a wheel and trace the cycloid
Coming soonComplex Numbers
Add and multiply points on the complex plane
Coming soonDistance and Midpoint
Drag points and measure the segment
Coming soonLines and Circles
Change the equations and find the intersections
Coming soonCross Sections of Solids
Slice a cube and see the cut shape
Coming soonLines and Planes in Space
Rotate lines and planes and find the angles
Coming soonPermutations and Combinations
Arrange and choose objects
Coming soonConditional Probability and Bayes
Update probabilities with new evidence
Coming soonLaw of Large Numbers
Repeat trials and watch the frequency converge
Coming soonLinear Regression
Fit the least squares line to data
Coming soonFibonacci and the Golden Ratio
Build a spiral from growing squares
Coming soonConfidence Intervals
Take repeated samples and see how often the interval catches the true value
Coming soonHypothesis Testing
Run a significance test and interpret the p-value
Coming soonDifferential Equations and Slope Fields
Draw solution curves through a field of slopes
University4/15
FreeEigenvalues and Eigenvectors
Find the directions a matrix only stretches
FreeFourier Series
Build a square wave from sine waves
FreeMarkov Chains
Run a chain and watch it settle to its steady state
Newton's Method
Find roots by following tangent lines
Coming soonGradients and Contour Maps
Walk on a surface and follow the steepest path
Coming soonVector Fields, Divergence and Curl
Drop particles in a field and measure the flow
Coming soonDouble Integrals as Volume
Stack columns under a surface and find the volume
Coming soonPhase Portraits of Linear Systems
Change a 2x2 system and classify the fixed point
Coming soonFourier Transform
Take a signal apart into its frequencies
Coming soonComplex Functions and Conformal Maps
Watch a grid bend under a complex function
Coming soonProbability Distributions Explorer
Compare Poisson, exponential, gamma and beta distributions
Coming soonBayesian Updating
Update a prior with data and watch the posterior narrow
Coming soonNumerical Methods for Differential Equations
Compare Euler and Runge-Kutta step by step
Coming soonEpsilon-Delta Limits
Find a delta for every epsilon
Coming soonLagrange Multipliers
Find the maximum of a function along a constraint curve