mathz
See math. Touch math. Understand math.
68 interactive lessons from Algebra to Calculus. Drag sliders, watch graphs respond, build real intuition.
Drag & Discover
Interactive sliders that reshape graphs in real-time. Change a coefficient, see what happens instantly.
Practice & Assess
Two quiz modes with graph hints and detailed metrics. Test understanding, not memorization.
Track Progress
Completion tracking, quiz scores, and study time. See how far you've come at a glance.
Choose Your Grade
Algebra 1
Foundations
Linear Relationships
Expressions & Equations
Geometry & Algebra 2
Quadratic Functions
Why Do Parabolas Look Like That?
Reshape quadratic functions with sliders. Watch roots appear and disappear.
Stretching, Flipping & Shifting
How changing an equation stretches, flips, and slides its graph.
Factored Form & Roots
See how factored form directly shows you where the parabola crosses zero.
Completing the Square & Quadratic Formula
Turn any quadratic into vertex form. See why the quadratic formula works.
Rational Expressions & Polynomial Division
Simplify fractions with x. See what happens when the denominator hits zero.
Geometry Foundations
Rigid Motions: Translate, Rotate, Reflect
Move shapes without changing them. See translations, rotations, and reflections live.
Congruence: SSS, SAS, ASA
When are two triangles the same? Drag sides and angles to test each criterion.
Geometric Proof Basics
Build logical arguments step by step. See why each theorem follows from the last.
Triangle Properties & Angles
Drag vertices and watch angle sums, medians, and altitudes update live.
Pythagorean Theorem Visualized
The squares on the sides literally add up. See it happen.
Right Triangle Trig: SOH-CAH-TOA
Sin, cos, tan from right triangles. Drag the angle and watch the ratios change.
Law of Sines & Law of Cosines
Solve any triangle, not just right ones. See the formulas adapt in real-time.
Parallel Lines & Transversals
When a line cuts through parallels, angles dance in pairs.
Similarity & Dilations
Scale shapes up and down. Same proportions, different sizes.
Circle Theorems
Inscribed angles, tangent lines, arc lengths. The geometry of circles visualized.
Coordinate Geometry
Coordinate Geometry
Data & Probability
Histograms, Box Plots & Standard Deviation
See how different displays reveal different patterns in the same data.
Intro to Probability
Flip coins, roll dice, and watch probability converge.
Conditional Probability & Independence
Does knowing one event change the odds of another? See P(A|B) in action.
Probability Rules: Addition & Multiplication
Combine event probabilities. Venn diagrams and tree diagrams come alive.
Mean, Median & the Shape of Data
Add and move data points. Watch mean and median update in real-time.
Line of Best Fit
Scatter plots and regression lines. See correlation come alive.
Sampling, Bias & Inference
Why does sample size matter? Simulate surveys and watch estimates converge.
Expected Value & Probability Distributions
What's the average outcome? See expected value emerge from repeated trials.
Advanced Algebra
Radicals & Rational Exponents
See that x^(1/n) is just the nth root. Plot radical functions.
Area & Volume Formulas
Sliders for dimensions. Watch area and volume calculations update live.
Logarithmic Scales
Why log scales matter. Compare linear vs log views of exponential data.
Matrices: Grids of Numbers
See matrix transformations move points. Adjust the 2x2 matrix live.
Modeling with Functions
Real-world scenarios as functions. Revenue, cost, profit — all interactive.
Parametric Equations
Plot x(t) and y(t) separately, then watch them combine into curves.
Trigonometry & Precalculus
Trigonometry
The Unit Circle Decoded
Spin around the circle and watch sin/cos values trace out waves.
Sine Waves & the Music of Math
Control amplitude, frequency, phase — build any wave.
Trig Identities Visualized
See why sin²+cos²=1 is obvious when you look at the unit circle.
Inverse Trig Functions
arcsin, arccos, arctan — go from ratios back to angles. See the restricted domains.
Advanced Functions
Piecewise & Step Functions
Different rules for different ranges. Build functions that change personality.
Composition of Functions
Feed one function into another. See f(g(x)) build layer by layer.
Inverse Functions
Undo a function. Watch f and f⁻¹ reflect across y = x.
Exponentials & Logarithms
They're mirror images. Literally — watch them reflect across y=x.
Rational Functions & Asymptotes
Why can't you divide by zero? Watch the graph explode to find out.
Conic Sections
Ellipses, hyperbolas, parabolas — one cone, four shapes.
Sequences & Vectors
Sequences & Series
Partial sums pile up. See convergence happen term by term.
Vectors: Direction + Magnitude
Add vectors head-to-tail. See resultants form in real-time.
Polar Coordinates
Switch from (x,y) to (r,θ). Watch rectangular become circular.
Complex Numbers on the Plane
i isn't imaginary — it's just perpendicular. See it on the complex plane.