Using Mathematical Structure
Look for and use mathematical structure: exploit place-value patterns for ×10/×100, use the distributive property to break apart multiplications, apply fraction equivalence to compare and compute, use shape properties to classify quadrilaterals
Teaching approaches
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1 approach
When your child is comparing fractions or working out a percentage, do they look for underlying patterns — like spotting that 50% is always half, or that equivalent fractions all sit at the same point on a number line?
Look for and use mathematical structure: exploit place-value patterns for ×10/×100, use the distributive property to break apart multiplications, apply fraction equivalence to compare and compute, use shape properties to classify quadrilaterals
Learning resources
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4 before · 1 after
Before
This concept
Check understanding
- Decompose 7×13 into 7×10 + 7×3 using the distributive property
- Explain why multiplying by 10 shifts digits one place left using place-value structure
- Use the fact that a square is a special rectangle to reason about quadrilateral properties
“When your child is comparing fractions or working out a percentage, do they look for underlying patterns — like spotting that 50% is always half, or that equivalent fractions all sit at the same point on a number line?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 8–9