These exercises and activities are for students to use independently of the teacher to practice number properties.

Ordering unit fractions (exercises 1 and 2)

Ordering non-unit fractions (exercises 3 to 5)

Number Sequence and Order, AA (Stage 6)

Number Sequence and Order, AM (Stage 7)

Homework with answers (PDF or Word)

### Prior knowledge.

Students should have completed the activity ‘fair shares’ **Book 7, Fair Shares**

### Background

Ordering unit fractions and non-unit fractions, without using equipment involves quite different skills, and are found at different stages of the knowledge framework. A useful introduction to sorting non-unit fractions is to develop students’ strategies for identifying when a fraction is close to one (eg is close to one as there is only 1 little piece missing from a whole) or zero. Likewise for fractions below or above one half (for example 2/5 is less than one half as in one half, the denominator is double the numerator. In two fifths, doubling 2 gives a number smaller than the denominator).

### Comment on the Exercises

**Exercise 1**Asks students to identify the bigger fractions in a pair.

**Exercise 2**Asks students to order 3 unit fractions from smallest to biggest.

**Exercise 3**Asks students to identify the bigger fraction in a pair. Fractions are halves, quarters, thirds, and fifths.

**Exercise 4**Asks students to order 3 fractiosn from biggest to smallest. The fractions are halves, quarters, thirds, and fifths.

**Exercise 5**Asks students to solve word problems that involve identifying the largest fraction.