Place Value Machine
Build and break apart numbers with draggable base-10 blocks. See why the position of a digit changes its value.
Math Lab
Your interactive mathematics playground. Drag, build, and visualise your way to understanding — from counting blocks in Year 2 to trigonometry in Year 10.
41
Interactive Tools
Years 2-10
Australian Curriculum
12
Topic Categories
Choose Your Year Level
Each year level has a curated set of tools matched to the Australian Curriculum. Click a year to filter the tools below.
All
41 tools
Y2
5 tools
Y3
12 tools
Y4
14 tools
Y5
19 tools
Y6
20 tools
Y7
24 tools
Y8
26 tools
Y9
21 tools
Y10
18 tools
How Math Lab Works
Math Lab is not a quiz. It is a place to explore, experiment, and discover how maths works through interaction.
1
Pick a Tool
Browse by year level or topic. Each tool targets one specific concept that students commonly struggle with.
2
Explore Freely
Drag blocks, move sliders, plot points. There are no wrong answers in explore mode — just discovery.
3
Take Challenges
When ready, switch to Challenge Mode. Answer questions that adapt to your level with instant visual feedback.
4
Build Understanding
Every interaction builds number sense and spatial reasoning that transfers directly to tests and exams.
All Interactive Tools
41 tools across 12 categories, covering every strand of the Australian Mathematics Curriculum.
Number & Place Value
4 toolsNumber Line Explorer
Zoomable number line from whole numbers to fractions, decimals, negatives, and surds.
Integer Operations Visualiser
Watch animated arrows show how adding and subtracting negative numbers actually works.
Order of Operations Stepper
Step through expressions one operation at a time. See which part gets evaluated first and why.
Fractions, Decimals & Percentages
4 toolsFraction Wall & Number Line
Interactive fraction bars and a number line that reveal equivalent fractions, help compare sizes, and build fraction intuition.
Fraction Operations Lab
Visual area models for adding, subtracting, multiplying, and dividing fractions.
Fraction / Decimal / Percent Converter
Three linked displays that update in real time: fraction, decimal, and percentage with a shaded 100-square grid.
Percentage Change Workshop
Apply percentage increases and decreases to a visual bar. Discover why a 50% increase then 50% decrease does not return to the original.
Algebra
4 toolsBalance Scale Equation Solver
Solve equations on a real balance beam. Remove weights from both sides to keep it balanced and isolate the unknown.
Variable Explorer
A number machine where you feed in values and watch operations transform them. Reverse mode works backwards from the output.
Expanding & Factorising with Area
Grid-based area model where (x+3)(x+2) becomes a rectangle divided into labelled sub-areas.
Simultaneous Equations — Graphical
Two draggable lines on a coordinate plane. Adjust gradient and intercept, watch the intersection point move.
Functions & Graphing
4 toolsLinear Function Laboratory
Sliders for gradient and y-intercept with live-updating graph, table, and equation — all linked.
Parabola Playground
Sliders for a, h, k in y=a(x-h)²+k. Watch the parabola stretch, flip, and shift in real time.
Function Transformation Sandbox
Stack transformations on any base function. Discover that the order of transformations changes the result.
Index Laws Explorer
Visual model showing groups of base numbers merging, splitting, and cancelling to discover index laws.
Measurement & Geometry
9 toolsArea vs Perimeter Sandbox
Click to paint cells on a grid. Watch the border highlight as perimeter and interior fill as area, updating live.
Angle Explorer
Drag rays to form angles with a virtual protractor. See complementary, supplementary, and vertically opposite relationships update live.
Pythagoras Proof Playground
Drag a right triangle to resize it. Watch squares on each side update. Pour the two smaller squares into the largest — it fills exactly.
Trig — Right Triangle Explorer
Drag the angle in a right triangle. Watch sin, cos, and tan values update as the side labels swap between opposite, adjacent, and hypotenuse.
Unit Circle Navigator
Drag a point around a unit circle. Watch sin and cos graphs draw themselves in real time to the right.
Surface Area & Volume Unboxer
3D shapes that unfold into nets. See each face labelled with dimensions. Adjust sliders to resize.
Measurement Estimation Lab
Estimate then measure real-world objects using informal and formal units. Build measurement intuition.
Clock & Time Playground
Drag clock hands with a live digital display. Elapsed-time mode shows a coloured arc between two times.
Calendar Lab
Interactive month grid with three modules — date gap calculator, day-of-week finder (mod 7), and pattern highlighter for recurring events.
Data & Probability
4 toolsChance Simulator
Spin spinners, roll dice, flip coins, draw marbles — run 1 to 1000 trials and watch results converge toward expected probability.
Probability Tree Builder
Build multi-stage probability trees. Click a leaf to see the path highlight and compound probability calculate.
Data & Graphs Workshop
Enter data, choose a graph type, and build bar, line, dot, or pie charts interactively. Includes misleading graph challenges.
Statistics Dashboard
Add and drag data points on a dot plot. Watch mean, median, mode, and range recalculate in real time.
Ratio, Rate & Proportion
1 toolsRatio Mixer
Fill tanks in a given ratio. Scale up with a slider to see proportional reasoning in action.
Money & Financial Literacy
2 toolsMoney & Change Lab
Drag Australian coins and notes to pay for items. See change calculated by counting up from the price.
Simple & Compound Interest Visualiser
Side-by-side bar charts showing simple vs compound interest growing over time. The visual gap is the entire lesson.
Symmetry & Transformations
3 toolsSymmetry & Transformation Sandbox
Draw shapes, then reflect, rotate, or translate them with ghost trails showing the transformation.
Tessellation Builder
Snap regular shapes together edge-to-edge. Discover which shapes tessellate and which leave gaps.
Coordinate Plane Explorer
Click to plot points, connect them into shapes, and use midpoint and distance tools.
Thinking & Building
2 toolsVolume Builder
Place unit cubes on an isometric grid to build 3D shapes. See volume count live. Build layer by layer to discover the formula.
Pattern to Formula Engine
See a pattern, extend it, then write a formula and test if it predicts term 50. Includes a Guess the Rule game.
Real-World Applications
2 toolsShopping & Budget Simulator
Shop with a budget, apply discounts, calculate GST, and compare unit prices.
Real-World Data Explorer
Explore real Australian datasets — weather, sport, population. Choose variables, build graphs, spot trends, and detect bias.
Challenge & Creation
2 toolsProblem Solving Arena
Multi-step, no-fixed-method problems with a scratchpad and strategy hints. Optimisation, logic, and estimation challenges.
Game Math Engine
Design game mechanics — scoring formulas, drop rate probability, XP curves — and playtest your designs.
Why Interactive Maths Tools Work
Research consistently shows that students learn mathematics more deeply when they can manipulate and visualise concepts.
Concrete Before Abstract
Every tool starts with something visual and tangible — blocks, bars, grids, graphs — before introducing symbolic notation. This mirrors how the brain builds mathematical understanding.
Instant Visual Feedback
When a student drags a fraction piece or adjusts a slider, the result is immediate. There is no waiting for a teacher to mark work — the visualisation is the feedback.
Safe Exploration
In explore mode, there are no wrong answers. Students can experiment freely without the anxiety of being marked. This builds confidence before challenge mode introduces structured questions.
Targets Confusion Points
Each tool exists because a specific concept confuses students — fractions, negative numbers, area vs perimeter, simultaneous equations. The interaction is designed to address that exact confusion.
Frequently Asked Questions
What is Math Lab?
Math Lab is SubjectCoach's interactive mathematics playground. It provides 40 hands-on digital tools where students explore maths concepts by dragging, building, and experimenting — rather than just answering questions. Each tool targets a specific concept that students commonly find confusing.
Which year levels does Math Lab cover?
Math Lab covers Years 2 through 10 of the Australian Curriculum. Year 2 students have access to 5 tools, while Year 8 students can explore up to 26 tools. Every tool is labelled with the year levels it applies to.
Is Math Lab free to use?
Some labs are free to use. Math Lab is available to all SubjectCoach subscription holders at no extra cost. Simply visit the Math Lab page and start exploring any tool after you login.
How is Math Lab different from practice questions?
Practice questions test what you already know. Math Lab teaches you by letting you see and manipulate the maths. For example, instead of answering "Which is bigger: 1/3 or 1/2?", the Fraction Wall lets you see the two fractions side by side and visually compare them. The understanding comes from the interaction, not the answer.
Does Math Lab align with the Australian Curriculum?
Yes. Every tool in Math Lab is mapped to the Australian Curriculum for Mathematics. The tools cover the key strands: Number and Algebra, Measurement and Geometry, and Statistics and Probability.
Can teachers assign Math Lab tools to students?
No. Teachers can't assign specific Math Lab tools to individual students or whole classes through the SubjectCoach teacher dashboard, just like practice sessions. These tools are to explore in classrooms or independently by students.
What devices does Math Lab work on?
Math Lab works on desktops, laptops, tablets, and Chromebooks. All tools are touch-friendly and responsive, designed for school devices.
Interactive Maths Practice for Australian Students
Math Lab is a collection of 41 interactive mathematics tools built for Australian students in Years 2 through 10. Unlike traditional worksheets or multiple-choice quizzes, Math Lab lets students explore mathematical concepts hands-on through drag-and-drop interfaces, real-time graphs, animated visualisations, and guided challenges.
Primary School Maths (Years 2-6)
Younger students work with tools like the Place Value Machine, where they drag base-10 blocks to build numbers and watch 10 ones snap into a ten. The Fraction Wall shows fraction bars stacked so students can see at a glance that 2/4 equals 1/2. The Clock Playground lets them drag clock hands with a synced digital display, and the Area vs Perimeter Sandbox finally separates these two constantly confused concepts with colour-coded grids.
Middle School Maths (Years 5-8)
As students move into algebra, the Balance Scale Equation Solver makes "do the same to both sides" physical. The Order of Operations Stepper highlights which part of an expression gets evaluated next. The Chance Simulator lets students run 1,000 coin flips and watch experimental results converge toward theoretical probability — something a worksheet simply cannot demonstrate.
Secondary School Maths (Years 8-10)
Older students work with the Linear Function Laboratory (sliders for gradient and y-intercept with live graph updates), the Parabola Playground (see the effect of each parameter in turning-point form), and the Pythagoras Proof Playground with its animated water-pour demonstration. The Unit Circle Navigator for Year 10 draws sin and cos graphs in real time as a point travels around the circle.
Aligned to the Australian Curriculum
Every tool in Math Lab maps directly to the Australian Curriculum for Mathematics. The tools cover Number and Algebra (place value, fractions, ratios, equations, functions), Measurement and Geometry (area, angles, Pythagoras, trigonometry, transformations), and Statistics and Probability (data representation, chance experiments, statistical measures).
How Students and Teachers Use Math Lab
- Self-directed exploration: Students pick a tool and experiment at their own pace.
- Teacher-assigned sessions: Teachers assign specific tools through the SubjectCoach dashboard.
- Concept introduction: Use a lab tool to introduce a new topic before formal instruction.
- Revision and remediation: Students revisit tools to reinforce concepts they find difficult.
- Whole-class demonstration: Teachers project a tool and manipulate it during class discussion.