Relate finding half of a number to halving and doubling | Maths

Starter quiz

Match the equation to the correct statement.

2 + 2 = 4

⇔

Double 2 is 4 ✓

8 = 4 + 4

⇔

Double 4 is 8 ✓

3 + 3 = 6

⇔

Double 3 is 6 ✓

10 = 5 + 5

⇔

Double 5 is 10 ✓
When the whole has been divided into 2 equal parts, each part is ___

$\frac{1}{2}$ ✓

$\frac{1}{4}$

$\frac{1}{3}$
How can each fraction be described?

$\frac{1}{2}$

⇔

is one of two equal parts. ✓

$\frac{1}{3}$

⇔

is one of three equal parts. ✓

$\frac{1}{4}$

⇔

is one of four equal parts. ✓
$Match the fraction circled in each picture to the correct representation.$

Match the fraction circled in each picture to the correct representation.

A

⇔

$\frac{1}{4}$ ✓

B

⇔

$\frac{1}{2}$ ✓

C

⇔

$\frac{1}{3}$ ✓
$Which picture shows <Math> \frac{1}{2} </Math> of the whole amount is circled?$

Which picture shows $\frac{1}{2}$ of the whole amount is circled?

a

b ✓

c
Match the equation to the correct answer.

$\frac{1}{2}$ of 6 =

⇔

3 ✓

$\frac{1}{2}$ of 12 =

⇔

6 ✓

$\frac{1}{2}$ of 16 =

⇔

8 ✓

$\frac{1}{2}$ of 14 =

⇔

7 ✓

$\frac{1}{2}$ of 8 =

⇔

4 ✓

Exit quiz

Match the double fact to its answer.

Double 10 is

⇔

20 ✓

Double 6 is

⇔

12 ✓

Double 7 is

⇔

14 ✓

Double 8 is

⇔

16 ✓

Double 9 is

⇔

18 ✓
Each missing part on this bar model represents one-half of the whole number of pencils. What numbers are missing?

6 and 4

5 and 5 ✓

3 and 7

8 and 2
Which equations are true for this bar model?

$\frac{1}{2}$ of 20 = 10 ✓

20 = $\frac{1}{2}$ of 10

10 = $\frac{1}{2}$ of 20 ✓

$\frac{1}{2}$ of 10 = 20
What facts does this bar model show?

Double 7 is 14 ✓

One-half of 7 is 14

Double 14 is 7

One-half of 14 is 7 ✓
Match the statements that link doubling and halving facts.

Double 3 is 6

⇔

Half of 6 is 3 ✓

Double 6 is 12

⇔

Half of 12 is 6 ✓

Double 5 is 10

⇔

Half of 10 is 5 ✓

Double 10 is 20

⇔

Half of 20 is 10 ✓
Lucas has 16 new coloured pens. He gave half of them to Aisha to use. How many pens do they now each have?

'8' ✓

Worksheet

Loading worksheet ...

Presentation

Loading presentation ...

Video

Lesson Details

Key learning points

To find half of a number you split it into 2 equal parts
Use knowledge of doubles and halves to find half of a number
If you double the half you will end up with the whole number

Common misconception

Children may find it difficult to find the whole when they are told the size of the half and may try to find half of the half.

Use a bar model representation to help children see the structure of double and half. Use gesture, colour and/or circling when discussing what each part of the bar model represents.

Keywords

Double - To become twice as many.
Half - To divide into 2 equal parts.