# Non-unit fractions: identifying, representing and comparing

Spine 3: Fractions – Topic 3.3

Primary
KS2
Year 3

Mastery PD Materials

### Introduction

Learn to name and write non-unit fractions, recognising them as multiples of unit fractions. Learn that fractions are numbers that can be positioned on a number line. Compare and order fractions with the same denominator or same numerator.

### Teaching points

**Non-unit fractions**

**Teaching point 1**: All non-unit fractions are made up of more than one of the same unit fraction.

**Teaching point 2**: Non-unit fractions are written using the same convention as unit fractions. A non-unit fraction has a numerator greater than one.

**Teaching point 3**: When the numerator and the denominator in a fraction are the same, the fraction is equivalent to one whole.

**Fractions as numbers**

**Teaching point 4**: All unit and non-unit fractions are numbers that can be placed on a number line.

**Teaching point 5**: Repeated addition of a unit fraction results in a non-unit fraction.

**Teaching point 6**: When the numerator and the denominator are the same, the value of the fraction is one.

**Comparing fractions**

**Teaching point 7**: Non-unit fractions with the same denominator can be compared. If the denominators are the same, then the greater the numerator, the greater the fraction.

**Teaching point 8**: Non-unit fractions with the same numerator can be compared. If the numerators are the same, then the greater the denominator, the smaller the fraction.