Free tools I built for my classroom.

When teaching in a school in the UK, I found most of the small tools I needed online wanted my email, or displayed a lot of ads (sometimes both!)

So, I started making my own resources. They're free and work in any browser.

If you have any suggestions for new tools, let me know at hello@dandruce.co.uk.

- Dan

Teaching Tools

Maths Tools

M1

Trigonometry Graphs

Sine, cosine and tangent built off the unit circle; sec, cosec and cot; the CAST rule and the inverse functions. KS4-KS5.

M2

Trigonometric Proofs

Prove the identities from the unit circle, then the compound, double and R sin/cos formulas, plus small-angle approximations. KS4-KS5.

M3

Non Right Angled Trig

The sine rule, cosine rule and area formula, each proved from one draggable triangle, with the ambiguous case. KS4-KS5.

M4

Distributions Overview

A one-page map of every A-level and Further Maths distribution: shape, when to use it, mean, variance and formula.

M5

Binomial Distribution

Explore X ~ B(n, p). Reshape the bars with n and p, find P(X = k), cumulative and range probabilities, and the conditions.

M6

Normal Distribution

Explore the normal curve: translation and stretch with the mean and sd, the 68-95-99.7 rule, a probability calculator and Z-scores.

M7

GCSE Probability

Sample spaces, cards, spinners, probability trees and Venn diagrams - interactive tools for teaching GCSE probability.

M8

Set Notation & Sets

Drag numbers into sets, learn the operations by shading, paint Venn diagrams and read conditional probability. Complex-numbers toggle.

M9

Matrices

Type your own numbers and watch every step: dimensions, addition, multiplication, the determinant and inverse (2x2 and 3x3). KS4-KS5.

M10

Matrix Transformations

See what a 2x2 matrix does to the unit square: rotations, reflections, stretches, shears, and the invariant points and lines. KS4-KS5.

M11

Differentiation

The whole A-level topic, interactive: the gradient of a chord, the power rule, gradient functions, sketching derivatives, tangents and normals, stationary points and the full first-principles proof. KS5.

No account required.
Open a tool, use it, close the tab. There's nothing to sign up for.
No tracking or ads.
None of these tools track you or show ads. Most run entirely in your browser and store nothing online. The exception is the Tournament Manager, which saves names and scores to a database so the shareable link stays live. No account is needed and nothing beyond what you enter into that tournament is stored.
Works on the school laptop.
No installs. No school firewalls warnings. Plays nicely with whiteboards and projectors.
Requests welcome.
If there's a small tool you keep wishing existed, email me: hello@dandruce.co.uk. I build what I can!

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