Your mathz Journey
66 interactive lessons from Algebra 1 through Calculus. Each builds on the last — follow the path or jump to any topic.
68 Lessons
4 Grade Levels
17 Topics
9th Grade
Algebra 1
Foundations
Linear Relationships
When Lines Collide
Two lines, one solution. See where equations meet — or don't.
Requires: linear-equations
Start lesson → Has quiz
Shading the Truth
Inequalities aren't just symbols — they're entire regions of a graph.
Requires: linear-equations
Start lesson → Has quiz
The V-Shape: Absolute Value
Why does |x| make a V? Stretch it, shift it, flip it.
Start lesson → Has quiz
Expressions & Equations
Powers & Exponent Rules
See what repeated multiplication actually looks like on a graph.
Start lesson → Has quiz
Building Polynomials
Add terms one by one and watch the curve get wilder.
Start lesson → Has quiz
Factoring: Reverse Engineering
Break quadratics into factors and see why the roots appear.
Requires: polynomials
Start lesson → Has quiz
Continue to 10th Grade
10th Grade
Geometry & Algebra 2
Quadratic Functions
Why Do Parabolas Look Like That?
Reshape quadratic functions with sliders. Watch roots appear and disappear.
Start lesson → Has quiz
Stretching, Flipping & Shifting
How changing an equation stretches, flips, and slides its graph.
Start lesson → Has quiz
Factored Form & Roots
See how factored form directly shows you where the parabola crosses zero.
Requires: quadratic-explorer, factoring
Start lesson → Has quiz
Completing the Square & Quadratic Formula
Turn any quadratic into vertex form. See why the quadratic formula works.
Requires: quadratic-explorer
Start lesson → Has quiz
Rational Expressions & Polynomial Division
Simplify fractions with x. See what happens when the denominator hits zero.
Requires: polynomials
Start lesson → Has quiz
Geometry Foundations
Rigid Motions: Translate, Rotate, Reflect
Move shapes without changing them. See translations, rotations, and reflections live.
Start lesson → Has quiz
Congruence: SSS, SAS, ASA
When are two triangles the same? Drag sides and angles to test each criterion.
Requires: rigid-motions
Start lesson → Has quiz
Geometric Proof Basics
Build logical arguments step by step. See why each theorem follows from the last.
Requires: congruence
Start lesson → Has quiz
Triangle Properties & Angles
Drag vertices and watch angle sums, medians, and altitudes update live.
Start lesson → Has quiz
Pythagorean Theorem Visualized
The squares on the sides literally add up. See it happen.
Requires: triangle-properties
Start lesson → Has quiz
Right Triangle Trig: SOH-CAH-TOA
Sin, cos, tan from right triangles. Drag the angle and watch the ratios change.
Requires: pythagorean-theorem
Start lesson → Has quiz
Law of Sines & Law of Cosines
Solve any triangle, not just right ones. See the formulas adapt in real-time.
Requires: right-triangle-trig
Start lesson → Has quiz
Parallel Lines & Transversals
When a line cuts through parallels, angles dance in pairs.
Start lesson → Has quiz
Similarity & Dilations
Scale shapes up and down. Same proportions, different sizes.
Start lesson → Has quiz
Circle Theorems
Inscribed angles, tangent lines, arc lengths. The geometry of circles visualized.
Start lesson → Has quiz
Coordinate Geometry
Distance & Midpoint
Drag points and watch distance and midpoint update in real-time.
Start lesson → Has quiz
Circle Equations
Move the center, change the radius — see the equation respond.
Requires: distance-midpoint
Start lesson → Has quiz
Coordinate Proofs
Use slope and distance to prove geometric properties algebraically.
Requires: distance-midpoint
Start lesson → Has quiz
Coordinate Geometry
Data & Probability
Histograms, Box Plots & Standard Deviation
See how different displays reveal different patterns in the same data.
Start lesson → Has quiz
Intro to Probability
Flip coins, roll dice, and watch probability converge.
Start lesson → Has quiz
Conditional Probability & Independence
Does knowing one event change the odds of another? See P(A|B) in action.
Requires: intro-probability
Start lesson → Has quiz
Probability Rules: Addition & Multiplication
Combine event probabilities. Venn diagrams and tree diagrams come alive.
Requires: intro-probability
Start lesson → Has quiz
Mean, Median & the Shape of Data
Add and move data points. Watch mean and median update in real-time.
Start lesson → Has quiz
Line of Best Fit
Scatter plots and regression lines. See correlation come alive.
Start lesson → Has quiz
Sampling, Bias & Inference
Why does sample size matter? Simulate surveys and watch estimates converge.
Start lesson → Has quiz
Expected Value & Probability Distributions
What's the average outcome? See expected value emerge from repeated trials.
Requires: intro-probability
Start lesson → Has quiz
Advanced Algebra
Radicals & Rational Exponents
See that x^(1/n) is just the nth root. Plot radical functions.
Start lesson → Has quiz
Area & Volume Formulas
Sliders for dimensions. Watch area and volume calculations update live.
Start lesson → Has quiz
Logarithmic Scales
Why log scales matter. Compare linear vs log views of exponential data.
Start lesson → Has quiz
Matrices: Grids of Numbers
See matrix transformations move points. Adjust the 2x2 matrix live.
Start lesson → Has quiz
Modeling with Functions
Real-world scenarios as functions. Revenue, cost, profit — all interactive.
Start lesson → Has quiz
Parametric Equations
Plot x(t) and y(t) separately, then watch them combine into curves.
Start lesson → Has quiz
Continue to 11th Grade
11th Grade
Trigonometry & Precalculus
Trigonometry
The Unit Circle Decoded
Spin around the circle and watch sin/cos values trace out waves.
Start lesson → Has quiz
Sine Waves & the Music of Math
Control amplitude, frequency, phase — build any wave.
Requires: unit-circle
Start lesson → Has quiz
Trig Identities Visualized
See why sin²+cos²=1 is obvious when you look at the unit circle.
Requires: unit-circle
Start lesson → Has quiz
Inverse Trig Functions
arcsin, arccos, arctan — go from ratios back to angles. See the restricted domains.
Requires: unit-circle
Start lesson → Has quiz
Advanced Functions
Piecewise & Step Functions
Different rules for different ranges. Build functions that change personality.
Start lesson → Has quiz
Composition of Functions
Feed one function into another. See f(g(x)) build layer by layer.
Start lesson → Has quiz
Inverse Functions
Undo a function. Watch f and f⁻¹ reflect across y = x.
Start lesson → Has quiz
Exponentials & Logarithms
They're mirror images. Literally — watch them reflect across y=x.
Start lesson → Has quiz
Rational Functions & Asymptotes
Why can't you divide by zero? Watch the graph explode to find out.
Start lesson → Has quiz
Conic Sections
Ellipses, hyperbolas, parabolas — one cone, four shapes.
Start lesson → Has quiz
Sequences & Vectors
Sequences & Series
Partial sums pile up. See convergence happen term by term.
Start lesson → Has quiz
Vectors: Direction + Magnitude
Add vectors head-to-tail. See resultants form in real-time.
Start lesson → Has quiz
Polar Coordinates
Switch from (x,y) to (r,θ). Watch rectangular become circular.
Start lesson → Has quiz
Complex Numbers on the Plane
i isn't imaginary — it's just perpendicular. See it on the complex plane.
Start lesson → Has quiz
Continue to 12th Grade
12th Grade
Calculus
Limits & Derivatives
Limits: Sneaking Up on Answers
Approach a point from both sides. When do they agree?
Start lesson → Has quiz
What Is a Derivative, Really?
Watch a secant become a tangent. That's the whole idea.
Requires: limits-continuity
Start lesson → Has quiz
The Chain Rule Visualized
Functions inside functions. Zoom into the composition to see rates multiply.
Requires: derivatives-intro
Start lesson → Has quiz
Applications of Derivatives
Integration
Area Under the Curve
Stack rectangles. Add more. Watch the area converge to the integral.
Start lesson → Has quiz
The Fundamental Theorem
Derivatives and integrals undo each other. Watch it happen.
Requires: derivatives-intro, integration-intro
Start lesson → Has quiz
Volumes of Revolution
Spin a curve around an axis. See the 3D solid emerge from a 2D graph.
Requires: integration-intro
Start lesson → Has quiz
Advanced Topics
Taylor Series: Polynomial Clones
Approximate any function with polynomials. Add terms and watch it converge.
Requires: derivatives-intro
Start lesson → Has quiz
Intro to Differential Equations
Slope fields show solutions without solving. Draw the flow.
Requires: derivatives-intro
Start lesson → Has quiz