MathematicsFractionsAges 10–11
Multiplication as scaling
Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the effect of multiplying by fractions greater than, equal to, or less than 1
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
Explore the learning path
3 before · 2 after
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Before
This concept
Multiplication as scalingConceptual concept
Check understanding
- Predict without calculating whether 3/4 × 7 is greater or less than 7
- Explain why multiplying by 5/3 makes a number larger and multiplying by 2/5 makes it smaller
- Relate multiplying a/b by n/n = 1 to the principle of fraction equivalence
“If your child multiplies 20 by 1/4, can they predict whether the answer will be bigger or smaller than 20 — and explain why, before doing the calculation?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–11