New
New
Year 3

Explain the relationship between multiples of 2 and multiples of 4

I can explain the relationship between multiples of 2 and multiples of 4

New
New
Year 3

Explain the relationship between multiples of 2 and multiples of 4

I can explain the relationship between multiples of 2 and multiples of 4

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Lesson details

Key learning points

  1. Multiples of 4 are double the multiples of 2
  2. Multiples of 2 are half the multiples of 4
  3. Multiples of 4 are all multiples of 2 but not all multiples of 2 are multiples of 4

Keywords

  • Multiple - A multiple is the result of multiplying a number by another whole number.

  • Doubling - Doubling is the act of becoming twice as many.

  • Halving - Halving means to divide into two equal parts.

Common misconception

Pupils may generalise the rule and assume that when dividing by 4 is the last digit is even, then the number is divisible by 4

Show children the relationship between 2s and 4s using the multiplication chart. Make clear that identifying the last digit as even is the first step - the last 2 digits should be a multiple of 4. Encourage discussions to highlight the relationship.

Continue to chorally rehearse 2s and 4s. Remind children that every integer is divisible by one.
Teacher tip

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).

Lesson video

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6 Questions

Q1.
Which word describes numbers that are next to each other?
greater
Correct answer: adjacent
groups
factors
Q2.
Which number on this number line is not a multiple of 4?
An image in a quiz
Correct Answer: 25, twenty five
Q3.
Which multiples of 4 are adjacent to 28?
An image in a quiz
26
30
Correct answer: 24
Correct answer: 32
Q4.
A multiple of 4 is missing from the number line. How can we use the adjacent multiples in this example?
An image in a quiz
Correct answer: 48 - 4
Correct answer: 40 + 4
Count along the number line up to the missing number
Q5.
Izzy knows that 13 × 4 = 52. She used the known fact of 12 × 3 = 48 and 4.
Correct answer: added
subtracted
Q6.
Using your knowledge of groups, order the calculations starting with the smallest multiple.
1 - 4 × 4
2 - 5 × 4
3 - 4 × 8
4 - 10 × 4

6 Questions

Q1.
Which numbers are multiples of 2 and multiples of 4?
Correct answer: 12
14
Correct answer: 16
Correct answer: 20
22
Q2.
Look at the image. Match the size of the group to the number of groups.
An image in a quiz
Correct Answer:Groups of 2 =,8

8

Correct Answer:Groups of 4 =,4

4

Q3.
Match the groups of 4 to the groups of 2.
Correct Answer:1 group of 4,2 groups of 2

2 groups of 2

Correct Answer:2 groups of 4,4 groups of 2

4 groups of 2

Correct Answer:3 groups of 4,6 groups of 2

6 groups of 2

Correct Answer:4 groups of 4,8 groups of 2

8 groups of 2

Correct Answer:5 groups of 4,10 groups of 2

10 groups of 2

Q4.
Which of the statements are true?
If a factor is doubled, the product is halved
All multiples of 2 are multiples of 4
Correct answer: All multiples of 4 are multiples of 2
Correct answer: If a factor is doubled, the product also doubles
Correct answer: If a factor is halved, the product also halves
Q5.
Multiples of 4 are the multiples of 2.
Correct Answer: double, Double, DOUBLE
Q6.
Look at the array. Match the questions to the correct answers.
An image in a quiz
Correct Answer:How many groups of 4 are there?,6

6

Correct Answer:How many groups of 2 are there?,12

12

Correct Answer:6 x 4 =,24

24

Correct Answer:12 x 2 = ,24

24