Mathematics

Intermediate

50 mins

Teacher/Student led

Learning Goals

Learning Outcomes

Lesson Files

+80 XP

What you need:
IWB/Projector/Large Screen

Finding a Half, a Third and a Quarter of a Quantity

Learn to find a half, a third and a quarter of a quantity by sharing amounts into equal groups. Use counters and drawings to understand how the bottom number of a fraction tells you how many groups to make.

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Work It in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Here are 12 counters on the board. If four children in a family share them out completely fairly, so nobody gets more than anybody else, how many counters will each child end up with?

Have a think before any hands go up.

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~11 mins

The interactive shares out counters to find a fraction of a number. Each time, watch two things: how many equal groups we make, and how many counters land in one group.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~7 mins

Worked example

Today we work through these fractions of quantities together on the board: one half of 6, then one third of 6, then one quarter of 12. Each time we ask the same two questions — how many equal groups, and how many in one group? For the last one, the total on the board grows from 6 up to 12 before we share it.

Find the fraction of the quantity together

+15 XP

4 - Work It in Your Copy ~3 mins

COPYBOOK MOMENT

In your maths copy, find one half of 10 and one quarter of 8 by drawing the equal groups. Then write each answer as a number sentence.

one half of 10 = ___
one quarter of 8 = ___

For one half, draw 2 groups and share the 10 fairly. For one quarter, draw 4 groups and share the 8. Count what lands in one group, then fill in your number sentence.

+10 XP

5 - Class Challenge ~10 mins

Finding a fraction of a set means sharing into equal groups. The bottom number of the fraction is how many equal groups to make, then you take one group. Watch one half of 6 on the tray, then we work through the rest together: one quarter of 8, one third of 9, and one half of 14. Each one shares fairly with none left over.

Find the fraction of each set

+15 XP

Pupil practice

Module 3 · Fractions and First Decimals Number

Lesson 38 · Finding a Half, a Third and a Quarter of a Quantity

Download Activity Book page (PDF)

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