Identify and describe patterns in the number system | Maths

Starter quiz

Fill in the missing number in this sequence.

'400' ✓
In this sequence, you are counting in steps of ___

100

200 ✓

500

1,000
Fill in the missing number in this sequence.

'150' ✓
In this sequence, you are counting in steps of ___

10

20

50 ✓

100

150
Fill in the missing number in this sequence.

'7.5' ✓
In this sequence, you are counting in steps of ___

1.5

2

2.5 ✓

5

Exit quiz

What is 1,000 divided into four equal parts?

25

250 ✓

2,500

4,000
What is 100 divided into five equal parts?

10

20 ✓

25

50
10 divided into four equal parts gives four parts of ______ each.

'2.5' ✓
100 divided into two equal parts is the same as saying ___

Two times 100

Half of 100 ✓

Half multiplied by 100 ✓

Double 100

100 divided by 2 ✓
Which equation would you use to calculate 1,000 divided into five equal parts?

${1}\over{4}$ ÷ 1,000

${1}\over{4}$ × 1,000

${1}\over{5}$ ÷ 1,000

${1}\over{5}$ × 1,000 ✓
Match the statements to the equations they represent.

${1}\over{5}$ × 100

⇔

One fifth of 100 ✓

${1}\over{4}$ × 100

⇔

One quarter of 100 ✓

${1}\over{2}$ × 100

⇔

One half of 100 ✓

${1}\over{10}$ × 100

⇔

One tenth of 100 ✓

Worksheet

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Lesson Details

Key learning points

The pattern of counting in 50s can be seen in whole numbers and decimals.
The pattern of counting in 25s can be seen in whole numbers and decimals.
The pattern of counting in 20s can be seen in whole numbers and decimals.

Common misconception

Pupils may not see the connection between the common divisions of 1,000, 100, 10 and 1 and they may not see the multiplication sign representing the word of when reading the equations.

Allow pupils time to explore the representations of the divisions of 1,000, 100, 10 and 1 alongside each other. Encourage the equations to be read using multiplied by and also of which is more commonly used with fractions of amounts.

Keywords

Equal parts - When we divide, we split an object, number or quantity into equal parts. Each equal part will have the same value as the others in the whole.
Divide - When we divide, we split an object, number or quantity into equal parts.