Using equivalence to calculate
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Threads
Why this why now
Having explored using equivalence to calculate in addition and subtraction, this unit considers equivalence in the context of multiplication and division. Pupils explore and explain what happens when a factor in a multiplication is doubled or halved and the effect on the quotient when the dividend and divisor are scaled. The language of scaling is highlighted which prepares pupils for considering multiplication and division in the context of ratio and proportion in the future.
Prior knowledge requirements
- Recognise equivalent fractions or expressions
- Apply balancing strategies to equations
- Use known facts and relationships to simplify calculations
Threads
Why this why now
Having explored using equivalence to calculate in addition and subtraction, this unit considers equivalence in the context of multiplication and division. Pupils explore and explain what happens when a factor in a multiplication is doubled or halved and the effect on the quotient when the dividend and divisor are scaled. The language of scaling is highlighted which prepares pupils for considering multiplication and division in the context of ratio and proportion in the future.
Prior knowledge requirements
- Recognise equivalent fractions or expressions
- Apply balancing strategies to equations
- Use known facts and relationships to simplify calculations
Using equivalence to calculate
In this unit pupils will explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount.
5 lessons in unit
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