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Ratio and proportion

A ratio compares parts to parts; a fraction often compares a part to a whole. Children struggle when every ratio is forcibly turned into a fraction, so sharing 20 in 2:3 becomes ‘two-thirds of 20’.

Why this concept matters

This is one of the Class 6 load-bearing ideas. Miss it, and every later ‘in the ratio’ word problem is a coin flip.

Misconceptions, in the order we see them

01

Ratio is just a fraction

2:3 is always 2/3, so the whole is lost.

02

Add the wrong total

They share in 2:3 by splitting into 2 and 3 without making five parts.

03

Proportion means ‘looks similar’

The multiplicative relationship is never named, so scaling recipes fails.

Which classes cover this

Related: Fractions · Decimals · Percentages · Integers · Algebra basics

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