New
New
Year 5

Identify and describe patterns in the number system

I can identify and describe patterns in the number system.

New
New
Year 5

Identify and describe patterns in the number system

I can identify and describe patterns in the number system.

Lesson details

Key learning points

  1. The pattern of counting in 50s can be seen in whole numbers and decimals.
  2. The pattern of counting in 25s can be seen in whole numbers and decimals.
  3. 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.

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Fill in the missing number in this sequence.
An image in a quiz
Correct Answer: 400
Q2.
In this sequence, you are counting in steps of ___
An image in a quiz
100
Correct answer: 200
500
1,000
Q3.
Fill in the missing number in this sequence.
An image in a quiz
Correct Answer: 150
Q4.
In this sequence, you are counting in steps of ___
An image in a quiz
10
20
Correct answer: 50
100
150
Q5.
Fill in the missing number in this sequence.
An image in a quiz
Correct Answer: 7.5
Q6.
In this sequence, you are counting in steps of ___
An image in a quiz
1.5
2
Correct answer: 2.5
5

6 Questions

Q1.
What is 1,000 divided into four equal parts?
25
Correct answer: 250
2,500
4,000
Q2.
What is 100 divided into five equal parts?
10
Correct answer: 20
25
50
Q3.
10 divided into four equal parts gives four parts of each.
Correct Answer: 2.5
Q4.
100 divided into two equal parts is the same as saying ___
Two times 100
Correct answer: Half of 100
Correct answer: Half multiplied by 100
Double 100
Correct answer: 100 divided by 2
Q5.
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
Correct answer: $${1}\over{5}$$ × 1,000
Q6.
Match the statements to the equations they represent.
Correct Answer:$${1}\over{5}$$ × 100,One fifth of 100

One fifth of 100

Correct Answer:$${1}\over{4}$$ × 100,One quarter of 100

One quarter of 100

Correct Answer:$${1}\over{2}$$ × 100,One half of 100

One half of 100

Correct Answer:$${1}\over{10}$$ × 100,One tenth of 100

One tenth of 100