Mathematics & Logic Resource Guide

Designed by Steve Cheung

A curated collection of interactive tools designed for visual learning, problem-solving, and conceptual mastery across the curriculum.

Y7 Start

Foundational Secondary Concepts

One-Step Equations

Y7 - Y8

A foundational algebra tool for beginners learning to isolate variables using four basic operations.

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Two-Step Equations

Y7 - Y9

Teaches the logic of "unwinding" equations through inverse operations and step-by-step breakdowns.

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Factor Lab

Y7 - Y9

Interactive factor trees and visual aids for finding GCF, LCM, and prime components.

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Line & Rotational Symmetry

Y7 - Y9

Interactive mirror tools and rotation simulations to visualize 2D symmetry.

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Card Duel

Y7 - Y10

A gamified environment combining arithmetic operations with strategic probability analysis.

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Angles, Lines & Polygons

Y7 - Y10

Parallel line theorems and polygon angle sums visualized through interactive geometry.

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3D Solids

Y7 - Y11

A viewer for rotating polyhedra, exploring nets, and counting vertices, edges, and faces.

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Symmetry 3D

Y7 - Y11

Visualizes planes of symmetry and rotational axes in three-dimensional space.

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Y8 Start

Intermediate Algebra & Geometry

Pythagoras Theorem

Y8 - Y11

Dynamic triangle manipulation with visual proofs and real-time calculations of a² + b² = c².

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Solving Equations

Y8 - Y11

Advanced equation hub including variables on both sides and bracket expansion.

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Dice Sim

Y8 - Y13

Statistical tool for exploring frequency histograms and the law of large numbers.

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Y9 Start

Advanced Modelling & Enrichment

Linear Modelling

Y9 - Y12

Adjust slopes and intercepts to find lines of best fit for scatter plot data.

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Sampling Techniques

Y9 - Y13

Simulator for random, stratified, systematic, and cluster sampling methods.

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Icosian Game

Y9 - Y13 (Enrichment)

A logic puzzle based on Hamiltonian paths on a dodecahedron graph.

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Ishitori Game

Y9 - Y13 (Logic)

A mathematical Nim-style strategy game focusing on game theory and winning positions.

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Y10+

Trigonometry & Advanced Geometry

Circle Theorems

Y10 - Y12

Interactive demonstrations of cyclic quadrilaterals, angle segments, and center angles.

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Plinko

Y10 - Y13

Visualizing the normal distribution and Gaussian curve through random path simulation.

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Unit Circle

Y11 - Y13

Core trigonometry tool for mapping sine, cosine, and exact surd values to angles.

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