3.3 Component 3: ratio

This content aims to develop the student’s understanding of equality and basic fractions.

Procedures for making and recording assessments

Class work assessed by the teacher in response to the outcomes in the table, or assessed by an externally set assignment.

In successfully completing this component, students will have demonstrated the ability to:

Outcomes	Notes/examples	GCSE reference
1.1 Understand equality	Use and understand the = sign 2 + 5 = 5 + ?	N1
1.2 Identify or show one half of a quantity up to 20	Shade half of a shape Given a picture of children, What fraction of the children are boys?	N12, R6
1.3 Work out half of an even number up to 20		N12, R6

Outcomes

Notes/examples

GCSE reference

1.1 Understand equality

Use and understand the = sign

2 + 5 = 5 + ?

1.2 Identify or show one half of a quantity up to 20

Shade half of a shape

Given a picture of children,

What fraction of the children are boys?

N12, R6

1.3 Work out half of an even number up to 20

N12, R6

Outcomes	Notes/examples	GCSE reference
2.1 Identify or show one third or one quarter of a quantity up to 24	Shade one third or one quarter of a shape Given a picture of children, What fraction of the children are boys?	N12, R6
2.2 Work out one third or one quarter of a number up to 24	Without remainder	N12, R6
2.3 Count in fractions of one half or one third or one quarter	Give the next number in the pattern: 2, $2 \frac{1}{4}$ , $2 \frac{1}{2}$ …
2.4 Work out amounts two, three or four times the size of a given amount	Key words are double, twice (as ..), three times (as..), four times (as..)’ One loaf of bread has 22 slices. How many slices are there in 4 loaves ?	R6
2.5 Recognise the equivalence of $\frac{1}{2}$ and $\frac{2}{4}$

Outcomes	Notes/examples	GCSE reference
3.1 Identify or show unit fractions up to one tenth of a quantity up to 100	Shade a given unit fraction of a specified grid Given a picture of children, What fraction of the children are boys?	N12, R6
3.2 Work out unit fractions to one tenth of a number up to 100	Without remainder	N12, R6
3.3 Identify or show any number of thirds, quarters, fifths or tenths of a quantity	Shade a fraction of a shape Given a picture of children, What fraction of the children are boys?	N12
3.4 Work out any number of thirds, quarters, fifths or tenths of an amount	Without remainder	N12
3.5 Recognise and identify equivalent fractions	$\frac{1}{2} = \frac{?}{10}$	N3
3.6 Add and subtract fractions with the same denominator within one whole		N8
3.7 Work out amounts 5, 8 or 10 times the size of a given amount		R2