Study guides you can actually play with.
Drag a curve, launch a projectile, pour in a titration, step through a proof. Each guide turns one hard idea into something you can move with your own hands — until it clicks. Then book a tutor to take it further.
Mathematics
7 guidesCalculus, algebra and trigonometry you can drag, animate and finally see.
Completing the Square, Step by Step
Step through the algebra one line at a time, then drag the parabola to see exactly what vertex form is telling you.
Sine & Cosine from the Unit Circle
Spin a point around a circle and watch the sine wave draw itself. Once you see it, trig graphs never look random again.
Logarithms & the Laws of Logs
A logarithm just asks “what power?”. Step through the three log laws and see why they turn multiplication into addition — the trick that once powered every calculation.
The Chain Rule, Made Intuitive
Drag a point along a composite function and watch its slope split into two rates that multiply. The chain rule, finally intuitive.
Exponential Growth & Decay
Drag along the curve and watch the tangent slope equal the height — the defining property of eˣ. Growth, decay and why e matters, made visual.
Differentiation from First Principles
Shrink h towards zero and watch a chord collapse onto the tangent. Where the derivative really comes from — the limit definition, made visual.
Taylor Series, Visualised
Add one term at a time and watch a simple polynomial mould itself into sin x, eˣ, or 1/(1−x) — until it suddenly cannot.
Physics
6 guidesLaunch projectiles, drive oscillators and add waves — mechanics and waves made visual.
Projectile Motion, Launched
Fire a projectile at any angle and speed, and watch the arc, the velocity vectors and the range readouts update as the two independent motions play out.
Simple Harmonic Motion, Felt
Pull the mass, let go, and watch displacement, velocity and acceleration trace themselves out — a quarter-cycle apart — while the restoring force does its work.
Wave Superposition & Standing Waves
Overlap two waves and watch a third appear. Adjust their phase and frequency to build constructive interference, beats and standing waves with fixed nodes.
Radioactive Decay & Half-Life
Drag along the decay curve and watch the count rate halve over each fixed half-life. Why decay is exponential — and what λ and half-life really mean.
Standing Waves & Harmonics
Watch two travelling waves combine into a standing wave, with fixed nodes and oscillating antinodes. Harmonics on strings and in pipes, made visual.
Resonance & Energy in SHM
Watch kinetic and potential energy trade places as a mass oscillates, and see why matching the driving frequency triggers resonance. SHM energy and resonance, made visual.
Chemistry
5 guidesTitrations, energy profiles and reaction kinetics you can pour, heat and step through.
Titration Curves, Poured Out
Add base to acid a little at a time and watch the pH curve build — through the buffer region, up the steep jump, to the equivalence point where the right indicator changes colour.
The Maxwell–Boltzmann Distribution
Raise the temperature and watch the energy distribution spread and flatten. The shaded fraction of molecules that can react climbs — and a catalyst moves the goalposts.
Enthalpy Profiles & Activation Energy
Flip a reaction between exothermic and endothermic, drop in a catalyst, and watch the reaction-coordinate diagram redraw — activation energy, transition state and ΔH all in one picture.
Reaction Rates, Temperature & Catalysts
Heat the reaction and add a catalyst, and watch the fraction of molecules with enough energy to react shoot up. Rates, temperature and activation energy, made visual.
Hess's Law & Energy Cycles
Enthalpy change depends only on where you start and finish — not the route. Build an energy cycle and calculate ΔH the indirect way. Hess's law, made visual.
Economics
4 guidesShift the curves and watch equilibrium, surplus and market failure respond in real time.
Supply & Demand Equilibrium
Drag either curve and watch the market re-settle — a new equilibrium price and quantity, with the consumer and producer surplus triangles resizing in real time.
Price Elasticity of Demand
Flex the demand curve from steep to shallow and watch how sensitively quantity responds — and why a price rise can either grow or shrink total revenue.
The Multiplier Effect
Follow £1m of spending as it ripples through round after round of the economy, and watch it sum to the multiplier 1/(1−MPC). Where the number comes from, made visual.
Game Theory & the Nash Equilibrium
Set the payoffs in a 2×2 game and watch each player’s best responses highlight — then the cell where neither wants to move locks in as the Nash equilibrium.
Biology
2 guidesCross alleles, track inheritance and model populations — genetics you can breed and count.
Punnett Squares, Made Visual
Click any parent allele to flip it, and watch the cross fill in — genotype and phenotype ratios update live. Monohybrid and dihybrid inheritance, finally clear.
The Hardy–Weinberg Principle
Where does p² + 2pq + q² = 1 come from, and what does it tell you about a population? Step through the algebra and work real allele-frequency calculations.
Computer Science
2 guidesWatch algorithms sort in real time and see how running time grows — computing, made visual.
Sorting Algorithms, Visualised
Press play and watch the bars sort themselves — bubble, insertion, selection and merge — with live comparison and swap counters. See why some algorithms are far faster than others.
Big-O Notation & Algorithm Efficiency
Flip between the growth curves and see why an O(n²) algorithm crawls where an O(n log n) one flies. Big-O notation, made visual.
Statistics
2 guidesShade the normal curve, read z-scores and fit a regression line by dragging the data.
The Normal Distribution & Z-Scores
Drag the mean and spread, shade a region, and read the probability and z-scores straight off the bell curve. The normal distribution, made tangible.
Correlation & Linear Regression
Drag the points and watch the best-fit line and correlation coefficient r respond. See exactly what “least squares” minimises — and why correlation isn’t causation.
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