Cheriton Primary School

The school is vibrant, cultural heritages are valued and celebrated. Outstanding engagement with parents. Pupils lives are enriched because you make the most of the diverse cultral and social mix. All staff are proud to work here and enjoy being part of the school. Ofsted

Problems Involving Proportion

When modelling problems involving proportion it is useful to divide the bar into equal parts so that the proportional relationship and multiplicative structure are exposed.

Once the value of one part is labelled, the other parts can be identified as they are the same, for example in this KS2 SATS Question.

24

In a class, 18 of the children are girls.

A quarter of the children in the class are boys.

Altogether, how many children are there in the class?

 The Class

The bar represents the whole class

 Boys

Folding the bar into quarters allows us to represent the boys as a proportion of the whole class

 Boys Girls Girls Girls

The rest of the class must be girls

 Boys Girls Girls Girls

There are 18 girls so each of the three girl sections must equal 6 and so the boy section must also be 6. 6 × 4 = 24, there are 24 children in the class.