Maths · Explorers 7–10 · Years 2–5
Fractions of shapes and amounts
When is a half not a half?
What you will learn
- Recognise and name unit fractions ½, ⅓, ¼ of shapes
- Find fractions of a set of objects
- Recognise equivalent fractions ½ = 2/4
- Compare fractions with the same denominator
Helpful to know first: Divide a set into equal groups; Know doubles and halves to 20
Discover
Think first: When is a half not a half? Say or jot one idea before you read on.
Learn — core route
- Fold paper into halves and quarters
- Share 12 counters into thirds
- Fraction wall to spot equivalents
Lessons in this subject: Learn Topics · Maths
Practise — check a common mix-up
A pizza is cut into 4 pieces of different sizes. Is one piece a quarter?
Which is bigger: ⅓ or ¼ of the same cake?
Apply / Create — Fraction Snack Bar
Design a snack menu where every item is shared fairly between 2, 3 or 4 friends. Draw and label each share.
Evidence type: drawing with explanation · accessible alternative always allowed (speak it, draw it, or show an adult).
How it is judged (rubric)
- Beginning: Halves shown
- Developing: Halves and quarters shown, some unequal
- Secure: Equal ½, ⅓, ¼ shown and labelled
- Extending: Includes an equivalence and a fraction of an amount
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 · Y3 Number: fractions
- aligned to Common Core · 3.NF.A.1
- aligned to Cambridge Primary · 3Nf1
Status: Live · reviewed
What's next?