New
New
Year 6

Using redistribution with addition of integers

I can use redistribution with addition of integers.

New
New
Year 6

Using redistribution with addition of integers

I can use redistribution with addition of integers.

Lesson details

Key learning points

  1. If one part is increased and the other is decreased by the same amount, the whole stays the same.
  2. If one part is decreased and the other is increased by the same amount, the whole stays the same.
  3. Redistributing between parts with the whole staying the same is sometimes known as the 'same sum' rule.

Common misconception

Lots of children will want to make use of a written method such as column addition straight away without considering the use of mental methods with jottings.

Encourage the children out of their comfort zone by praising efforts and allowing them to feel motivated by any small successes in the method. Explain to them that this understanding will help them to be better mathematicians in the long run!

Keywords

  • Redistribution - Redistribution is where part of one addend is moved to another addend. It is sometimes known as the same sum rule.

  • Sum - The sum is the total when numbers are added together.

  • Whole - The whole is all the parts or everything, the total amount.

  • Part - A part is some of the whole.

If any children are really struggling with the concept of redistribution then make use of bucket scales and cubes to help them conceptualise the process.
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).

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6 Questions

Q1.
What is the missing part in this bar model?
An image in a quiz
Correct Answer: 360
Q2.
134 + 99 =
Correct Answer: 233
Q3.
Jun buys two packs of apples which cost £1.99 each. How much does he spend altogether? Jun spends £
Correct Answer: 3.98, £3.98
Q4.
Sofia has £5 to spend. She spends £3.50 on a ball. How much change should she receive?
Correct Answer: £1.50, 1.50, 150 p
Q5.
What is the missing part in this bar model?
An image in a quiz
Correct Answer: 375
Q6.
Andeep thinks of a 2-digit number. He adds 10 before doubling it to finish with the number 44 What was his starting number?
10
11
Correct answer: 12
13

6 Questions

Q1.
Is the question mark on the bar model a part or whole?
An image in a quiz
Correct answer: part
whole
Q2.
Use the mental strategy of redistribution to calculate the sum. 34 + 29 =
Correct Answer: 63
Q3.
Use the mental strategy of redistribution to calculate the sum. 69 + 45 =
Correct Answer: 114
Q4.
Use the mental strategy of redistribution to calculate the sum. 20,999 + 7,573 =
Correct Answer: 28,572
Q5.
Which of these additions do you think was most likely to have been solved using redistribution?
Correct answer: 190 + 456 = 646
347 + 283 = 630
Q6.
Which inequality symbol should be placed between these two addition expressions? Use redistribution to help. 2,002 + 10,567 1,997 + 10,574
Correct answer: <
=
>