Splitting shapes into equal parts (age 7+)
Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape
Teaching approaches
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1 approach
If you cut a rectangle into thirds in two different ways (three strips vs three squares), can your child recognise that both give equal thirds — even though the pieces look different?
Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape
Learning resources
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2 before · 2 after
Before
This concept
Check understanding
- Partition a circle into 3 equal parts and label each 'a third'
- Partition a rectangle into 4 equal shares in more than one way
- Explain that two different-looking shares can still be equal in size
“If you cut a rectangle into thirds in two different ways (three strips vs three squares), can your child recognise that both give equal thirds — even though the pieces look different?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 7–8
Standards