New
New
Year 2

Partition 2-digit numbers in different ways

I can partition two-digit numbers in a range of ways.

New
New
Year 2

Partition 2-digit numbers in different ways

I can partition two-digit numbers in a range of ways.

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Lesson details

Key learning points

  1. Two-digit numbers can be partitioned into two or more parts.
  2. Known facts can be used to help partition a two-digit number into a multiple of ten and another part.
  3. The patterns in the tens can help to predict new equations.
  4. Known facts can be used to help partition both the tens and the ones in a two-digit number.

Keywords

  • Partition - To split a whole up into parts.

Common misconception

Children may think two-digit numbers can only be partitioned into tens and ones.

Use practical equipment to manipulate tens and ones on part-part-whole models to help children to understand the many ways that a number can be partitioned.

Partitioning two-digit numbers in different ways is important because it supports the recognition that no matter how a number is partitioned, the total value is conserved. This supports the development of mental methods which require the flexibility to rearrange numbers to calculate efficiently.
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.
79 − 40 = ? How many tens is being subtracted from 79 in this equation? tens
Correct Answer: 4, four
Q2.
Look at the image. Which equation does it represent?
An image in a quiz
Correct answer: 84 − 20 =
82 − 40 =
82 − 20 =
Q3.
Match the known facts that will help to subtract multiples of 10
Correct Answer:7 − 3 = 4 ,7 tens − 3 tens = 4 tens

7 tens − 3 tens = 4 tens

Correct Answer:6 − 4 = 2 ,60 − 40 = 20

60 − 40 = 20

Correct Answer:8 − 5 = 3,80 − 50 = 30

80 − 50 = 30

Q4.
What could we do to help solve this equation? 72 − 40 =
An image in a quiz
Correct answer: Subtract 4 tens from 7 tens
Subtract 2 tens from 7 tens
Subtract 7 tens from 4 tens
Q5.
Which of these equations will have the same sum as 37 + 50?
Correct answer: 50 + 37 =
73 + 50 =
Correct answer: 57 + 30 =
Q6.
71 − 50 =
Correct Answer: 21

6 Questions

Q1.
Match each number to the number of tens it is composed of.
Correct Answer:40,4 tens

4 tens

Correct Answer:70,7 tens

7 tens

Correct Answer:50,5 tens

5 tens

Correct Answer:80,8 tens

8 tens

Correct Answer:60,6 tens

6 tens

Q2.
52 can be partitioned in different ways. Match the multiple of 10 with another number that sums to 52
Correct Answer:50,2

2

Correct Answer:40,12

12

Correct Answer:30,22

22

Correct Answer:20,32

32

Correct Answer:10,42

42

Q3.
Which equation will come next in the pattern?
An image in a quiz
56 = 10 + 46
Correct answer: 56 = 20 + 36
56 = 46 + 10
Q4.
Which of these equations show that 63 has been correctly partitioned into three parts?
Correct answer: 63 = 50 + 10 + 3
Correct answer: 63 = 40 + 3 + 20
63 = 20 + 30 + 3
Correct answer: 63 = 3 + 30 + 30
Q5.
Which of these equations show that 47 has been correctly partitioned into three parts?
Correct answer: 47 = 40 + 5 + 2
47 = 40 + 4 + 7
Correct answer: 47 = 3 + 40 + 4
Correct answer: 47 = 1 + 6 + 40
Q6.
What is the missing addend in this equation? 69 = 40 + 9 +
Correct Answer: 20

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