Interactive Mathematics Course
Learn mathematics the intuitive way — from arithmetic foundations to first-year university. Every lesson pairs plain-language explanations with worked examples and a hands-on interactive tool you can play with.
Grade 4
Place value, multiplication, fractions and first geometry.
Grade 5
Decimals, fraction operations, volume and the coordinate plane.
- Decimals: Zooming InStart here Open →
- Fair Share: Decimal Division Open →
- Adding Unlike Fractions Open →
- Multiplying Fractions Open →
- Volume: Stacking Cubes Open →
- Coordinate Plane: Crawl & Climb Open →
- Order of Operations Open →
- Decimal Addition/Subtraction Open →
- Decimal Multiplication Open →
- Mixed Number Operations Open →
- Line Plots & Fraction Data Open →
Grade 6
Ratios, integers, one-step equations and intro statistics.
- Ratios: The Potion MixerStart here Open →
- Speed as a Rate Open →
- Integers: Above and Below Zero Open →
- Mirror City: Reflections Open →
- Divider Ray: Dividing Fractions Open →
- Percent of a Number Open →
- GCF & LCM Open →
- Algebraic Expressions Open →
- Algebra Balance Open →
- Data Seesaw: Mean & Median Open →
- Triangle & Parallelogram Area Open →
- Inequalities on a Number Line Open →
- Center and Spread Open →
- Surface Area & Nets Open →
Grade 7
Rational numbers, proportions, percents and probability.
- Adding & Subtracting Integers Open →
- Signed Fraction OperationsStart here Open →
- Integer Multiplication Open →
- Unit Rates & Proportionality Open →
- Percent Increase & Decrease Open →
- Scale Drawings Open →
- Two-Step Equations Open →
- Angle Relationships Open →
- Circle & Sector Area Open →
- 3D Cross-Sections Open →
- Experimental vs Theory Prob. Open →
- Compound Probability Open →
- Solving Two-Step Inequalities Open →
- Sampling and Variability Open →
Grade 8
Linear functions, slope, systems and the Pythagorean theorem.
- Functions: Linear vs Nonlinear Open →
- Slope: Rise over Run Open →
- Systems of EquationsStart here Open →
- Linear Functions: y = mx + bStart here Open →
- Graphing Linear Inequalities Open →
- Rates as Slope Open →
- Pythagorean Theorem Open →
- Irrational Numbers Open →
- Translations, Rotations & Reflections Open →
- Dilations & Similarity Open →
- Parallel Lines & Transversals Open →
- Laws of Exponents Open →
- Scientific Notation Open →
- Volume of 3D Shapes Open →
- Scatter Plots & Best Fit Open →
Grade 9
Functions, quadratics, exponential growth and modelling.
- The Function MachineStart here Open →
- Shadow Projector: Domain & Range Open →
- Absolute Value & Piecewise Functions Open →
- The Ghost Graph Open →
- Radicals & Rational Exponents Open →
- Projectile Launcher Open →
- Rectangle Resizer: Factoring Open →
- Square Completer Open →
- Arithmetic & Geometric Sequences Open →
- Zombie Outbreak: Exp. Growth Open →
- Decay Lab Open →
- Comet Interceptor Open →
Grade 10
Circle geometry, trigonometry and conditional probability.
- Factoring: Area ModelStart here Open →
- Triangle Congruence Open →
- Triangle Similarity Open →
- Inscribed Angle Theorem Open →
- Tangents to a Circle Open →
- Right-Triangle Trig Open →
- The Unit Circle Open →
- Law of Sines: SSA Case Open →
- Law of Cosines Open →
- Line-Circle Systems Open →
- 3D Pythagoras Open →
- Conditional Probability Open →
Grade 11
Polynomials, rational & log functions, and the first derivative.
- Polynomial Division & Root Theorems Open →
- Roots, Multiplicity, End BehaviorStart here Open →
- Rational Functions & Asymptotes Open →
- Inverse Functions & y = x Open →
- Logarithms & Their Properties Open →
- Solving Exponential & Log Equations Open →
- Radians & Special Angles Open →
- Amplitude & Period Open →
- Phase Shift & Midline Open →
- Trig Identities & Solving Equations Open →
- The Complex Plane Open →
- Secant Slopes & the Derivative Open →
Grade 12
Calculus: limits, differentiation, integration and beyond.
- Limits & the Epsilon-Delta IdeaStart here Open →
- The Chain Rule Open →
- Implicit Differentiation Open →
- Related Rates Open →
- Partial Fractions Open →
- Riemann Sums Open →
- Volumes of Revolution Open →
- Dot Product & Projection Open →
- Planes in 3D Open →
- Polar Coordinates & Curves Open →
- Roots of Unity Open →
- The Normal Distribution Open →
- Hypothesis Testing Open →
University Year 1
Series, vector calculus and linear algebra, made visual.
- Taylor SeriesStart here Open →
- Fourier Series Open →
- Integration by Parts Open →
- Improper Integrals Open →
- The Gradient Open →
- Divergence Open →
- Curl Open →
- Linear Transformations Open →
- Eigenvalues & Eigenvectors Open →
- Change of Basis Open →
- The Stress Tensor Open →
- Conformal Maps Open →
- Euler's Formula Open →
- Slope Fields Open →
- The Harmonic Oscillator Open →
Every lesson pairs plain-language explanations with worked examples and a hands-on interactive tool you can play with. More lessons are on the way.