Maths
Maths · Pioneers 11–15 · Year 9
Probability and statistics
Is that game fair?
0/6
What you will learn
- Calculate theoretical probability and use sample spaces and tree diagrams
- Compare experimental and theoretical probability
- Choose and calculate mean, median, mode and range and critique their use
- Draw and interpret scatter graphs, correlation and lines of best fit
Helpful to know first: Fractions, decimals, percentages
Your next step: DiscoverGo
Discover
Think first: Is that game fair? Say or jot one idea before you read on.
Learn — core route
- Two-dice sample space grid
- Fair/unfair game design
- Class height vs arm-span scatter
Lessons in this subject: Learn Topics · Maths
Practise — check a common mix-up
After 5 heads in a row, tails is now more likely.
Correlation proves causation.
Apply / Create — Fair Game Investigation
Design a game, predict its theoretical probabilities, run 50 trials, compare results, and write a verdict on fairness with charts.
Evidence type: experiment record · accessible alternative always allowed (speak it, draw it, or show an adult).
How it is judged (rubric)
- Beginning: Runs trials
- Developing: Theory vs experiment compared
- Secure: Sample space, 50 trials, charts and reasoned verdict
- Extending: Redesigns the game to be fair and proves it
Explain — say what you did
Review later
We'll offer a quick memory check in 7, 21 and 45 days. Mark this done and your Today page will remind you gently.
For grown-ups · framework mappings
- aligned to UK NC · KS3 Probability; Statistics
- aligned to Common Core · 7.SP.C, 8.SP.A
Status: Live · reviewed
What's next?