Fraction circles

Purpose

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

Achievement Objectives
NA3-5: Know fractions and percentages in everyday use.
Specific Learning Outcomes
  • Ordering unit fractions (exercises 1 and 2)
  • Ordering non-unit fractions (exercises 3 to 5)
Description of Mathematics
  • Number Sequence and Order, AA (Stage 6)
  • Number Sequence and Order, AM (Stage 7)
Required Resource Materials
  • Practice exercises with answers (PDF or Word)
  • Homework with answers (PDF or Word)
Activity

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.

 

Attachments

Printed from https://nzmaths.co.nz/resource/fraction-circles-0 at 10:21am on the 29th March 2024