Distributive Property Explorer
Use area models and algebra tiles to explore the distributive property, expand brackets, identify common misconceptions and solve randomised algebra challenges.
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Interactive resources
Mathematics interactives
34 mathematics simulations, guided investigations and challenges, mapped to the WA and Australian curricula, US standards and GCSE.
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Algebra & Functions
Exponential & Logarithmic Active Lab
An active lab applying exponential models and logarithms to current earthquake, space-weather, population, emissions and interest-rate data.
Like Terms Sorter
A guided algebra activity where students identify variables, constants, terms and coefficients, sort like and unlike terms, and simplify expressions by collecting like…
Linear Equation Balance Explorer
A guided balance-scale investigation for solving one-step and two-step linear equations using inverse operations, with symbolic and graphical representations.
Measurement & Trigonometry
Area of Quadrilaterals Challenge
A randomised 10-question challenge where students calculate area for triangles, parallelograms, trapeziums, rhombuses, kites and composite shapes, with new numbers each…
Area of Quadrilaterals Guided
A guided Year 8 investigation where students derive area formulas by rearranging parallelograms, duplicating trapeziums, using diagonals for rhombuses and kites, and…
Area Units Visualiser
Predict how many small squares fit in a larger one and fill it row by row, practise conversions on a km² → mm² ladder, and compare real objects with 1 m², 1 ha and 1 km².
Circle Area Investigation
Investigate where the formula A = πr² comes from by progressively slicing a circle into sectors and rearranging them into a rectangle-like shape. Students work through a…
Circle Circumference & Pi Guided
A guided investigation where students connect radius, diameter and circumference, measure how many diameters fit around a circle, discover π as the…
Design the Festival Site
A story-driven capstone challenge where students design a festival site by solving connected problems involving percentages, linear equations, circumference, circle…
Inverse Trigonometry Active Lab
An active lab using geological drillhole data to reconstruct underground drilling angles with inverse trigonometry, then inspect the selected drillhole within its local…
Mission: Mars Base
A story-driven capstone challenge where students stabilise a Mars research base by solving connected problems involving scientific notation, rates, percentages, linear…
Park Site Designer
Place and resize rectangles and right-angled triangles on a scaled site to meet minimum areas and a fence budget, then calculate and check every area and perimeter.
Perimeter Area Investigation
An investigation where students compare perimeter and area across rectangles, triangles, parallelograms, trapeziums, rhombuses, kites, circles and composite shapes,…
Swimming Pool Volume Investigation
Investigate how to determine the volume of a swimming pool using a rotatable 3D model. Students identify the key measurements required, determine an appropriate method…
The Coastline Paradox — How Long Is Australia's Coastline?
Why do official sources disagree about the length of Australia's coastline? Students walk rulers of different lengths around the real mainland coast, measure maps at…
Number
Enigma — Can You Crack the Code?
Break four intercepted messages: a shift cipher (brute force), a substitution cipher (frequency analysis with real English data), a keyword cipher (repeats and common…
Ratio Challenge
A simple randomised ratio challenge where students practise simplifying ratios, finding equivalent ratios and solving missing-value ratio questions using visual ratio…
Ratios, Rates & Percentages Active Lab
An active lab applying ratios, rates, percentages and percentage change to current Tour de France and weather data.
Ratios, Rates & Percentages Explorer
A guided Year 8 investigation covering ratio simplification, scaling, unit rates, percentages, discounts and percentage change in real-world contexts.
Scientific Numeracy Lab
Practise scientific numeracy with continuously randomised questions covering SI units, metric conversions, concentrations and molar calculations. Includes adjustable…
Probability
The Mathematics of Disease Spread
Investigate historical COVID-19 case reports using daily graphs, moving averages, percentage change and doubling times. Build a separate exponential growth model, test…
Titanic: Who Survived?
Use the official count of everyone aboard the Titanic to work with percentages, two-way tables, Venn and tree diagrams and conditional probability, and test claims about…
Venn Diagrams & Two-Way Tables Investigation
A guided investigation connecting Venn diagrams, two-way tables, probability language, complementary events, union and intersection using classroom survey data.
Space & Geometry
Congruence Investigation
Investigate congruence through translations, rotations and reflections. Students work through a structured sequence identifying corresponding sides and angles,…
Honeycomb Geometry Challenge
Investigate why bees build hexagonal honeycombs by comparing area, perimeter and tessellation. Explore regular shapes, test efficiency, and complete a wax-budget design…
Seven Bridges of Königsberg
Try the historic seven bridges puzzle, discover Euler's graph rule, redesign the network and explain why crossing every bridge exactly once is impossible.
Statistics
Can You Trust This Graph?
Can one dataset tell two different stories? Analyse authentic World Bank time series, manipulate chart scales and time windows, investigate misleading averages and…
Game Studio: Data Decisions
Use real game-industry data to make and defend evidence-based decisions. Students choose a genre to develop, evaluate whether discounting creates sustained player…
Ocean Data Investigation Lab
Use real ocean-buoy data to investigate sampling, distributions, probability and relationships between variables.
Parking Policy Lab
Investigate real San Francisco parking meter locations and real hourly occupancy data. Compare neighbourhoods, identify limitations in small samples and incomplete…
Train Network Data Investigation Lab
Use real train-network data to design an open statistical investigation. Students choose variables and filters, analyse bivariate relationships, fit and test a linear…
Train Network Mathematics
Explore an animated Chicago train network and extract Year 10 mathematics from real-world movement and network data. Investigate distance-time graphs, rates of change,…
Train Network Statistics Workbench
Use real train-network data to learn descriptive statistics, distributions, comparisons, bivariate relationships and linear modelling. The animated train network remains…