Maths · Pioneers 11–15 · Years 7–8
Ratio, proportion and financial maths
Is the bigger pack really the better deal?
What you will learn
- Write and simplify ratios; divide a quantity in a given ratio
- Use unitary method to compare value for money
- Calculate percentage change, discount and simple interest
- Model a real budget with income, spending and saving
Helpful to know first: Multiply/divide by 10, 100; Convert between fractions, decimals and percentages
Discover
Think first: Is the bigger pack really the better deal? Say or jot one idea before you read on.
Learn — core route
- Compare three cereal box sizes by price per 100g
- Divide pocket money in ratios
- Percentage change card sort
Lessons in this subject: Learn Topics · Maths
Practise — check a common mix-up
A price rises 10% then falls 10%. Is it back to the start?
Divide £60 in the ratio 2:3. The larger share is…
Apply / Create — Family Budget Investigation
Plan a one-week budget for a family of four (given prices). Justify three choices using ratio or percentage reasoning and present as a one-page report.
Evidence type: written report · accessible alternative always allowed (speak it, draw it, or show an adult).
How it is judged (rubric)
- Beginning: Adds costs correctly
- Developing: Uses at least one ratio or percentage
- Secure: Uses ratio AND percentage correctly with justification
- Extending: Evaluates trade-offs and checks reasonableness
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 Ratio, proportion & rates of change
- aligned to Common Core · 7.RP.A.3
- aligned to Cambridge Lower Secondary · 7Nf.05
Status: Live · reviewed
What's next?