🔢 Mathematics · Fractions
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
Typical age: 10–11 years
“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?”
0 / 3 mastered
Explore graph
Needs first
- Multiplying fractions (age 10+)REQUIRED
Understanding scaling requires knowing how fraction multiplication works
- Equivalent fractions (age 9+)
Relating n/n × a/b to equivalence connects to equivalent fractions
- Area with Fractions
Interpreting fraction multiplication as scaling is enriched by the prior area-model experience of tiling fractional rectangles, which makes the resizing effect concrete