New
New
Year 6

Using balanced equations to calculate redistribution

I can use balanced equations to calculate redistribution.

New
New
Year 6

Using balanced equations to calculate redistribution

I can use balanced equations to calculate redistribution.

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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.

Keywords

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

  • Part - A part is a piece or section of the whole.

  • Equation - An equation is used to show that one number, calculation or expression is equal to another.

  • Expression - An expression contains one or more values, where each value is separated by an operator.

Common misconception

The brackets are intended to make it easier for pupils to distinguish between different parts of the expression. Brackets are unfamiliar to learners so may cause errors.

If the brackets lead to confusion then remove them and use colour or some other signifier. Pupils needs to be able to see, understand and analyse any changes through redistribution.

Some children may find it useful to use real bucket scales and weights to enact the problems so have them on hand if needed.
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.
What is the missing part in this bar model?
An image in a quiz
Correct Answer: 788
Q2.
373 − 99 =
Correct Answer: 274
Q3.
Jun buys two frisbees which cost £11.99 each. How much does he spend altogether? Jun spends £
Correct Answer: 23.98, £23.98
Q4.
Sofia has £20 to spend. She buys a football for £14.50 so how much change should she receive? Sofia should receive £ change.
Correct Answer: 5.50, £5.50
Q5.
Sam thinks of a 2-digit number and then adds 12 before quadrupling it to finish with the number 100 What was her starting number?
11
12
Correct answer: 13
14
Q6.
What is the missing part in this bar model?
An image in a quiz
Correct Answer: 412

6 Questions

Q1.
True or false? Redistribution from one part to another changes the whole.
True
Correct answer: False
Q2.
Which of the following are expressions?
2 + 14 = 8 × 2
Correct answer: 3 + 1 + 67 − 10
Correct answer: 32 ÷ 8 + 10
3 × 5 + 15 = 15 × 2
Q3.
Which of the following images shows an equation?
Correct answer: Scale A
Scale B
Scale C
Q4.
Which of the following equations describes the balance scales shown?
An image in a quiz
100 g + 200 g = 500 g
600 g + 100 g = 500 g
Correct answer: 100 g + 400 g = 500 g
500 g = 200 g + 300 g
Q5.
Which of these equations shows the redistribution in the image?
An image in a quiz
Correct answer: (450 g − 50 g) + (50 g + 50 g) = 500 g
(450 g + 50 g) + (50 g − 50 g) = 500 g
(4.5 kg + 0.5 kg) + (0.5 kg − 0.5 kg) = 5 kg
(4.5 kg − 0.5 kg) + (0.5 kg + 0.5 kg) = 5 kg
Q6.
Which of these equations shows the redistribution in the image?
An image in a quiz
(5 kg − 1 kg) + (5 kg + 1 kg) = 10 kg
Correct answer: (5 kg + 1 kg) + (5 kg − 1 kg) = 10 kg
(5 kg + 1 kg) + (5 kg + 1 kg) = 10 kg
(5 kg − 1 kg) + (5 kg − 1 kg) = 10 kg