Starter quiz
What is the missing part in this bar model?- '788' ✓
- 373 − 99 = ______
- '274' ✓
- Jun buys two frisbees which cost £11.99 each. How much does he spend altogether? Jun spends £______
- '23.98' ✓
- Sofia has £20 to spend. She buys a football for £14.50 so how much change should she receive? Sofia should receive £______ change.
- '5.50' ✓
- 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
- 13 ✓
- 14
-
What is the missing part in this bar model?- '412' ✓
Exit quiz
- True or false? Redistribution from one part to another changes the whole.
- True
- False ✓
- Which of the following are expressions?
- 2 + 14 = 8 × 2
- 3 + 1 + 67 − 10 ✓
- 32 ÷ 8 + 10 ✓
- 3 × 5 + 15 = 15 × 2
-
- Which of the following images shows an equation?
Scale A ✓
Scale B
Scale C
Which of the following equations describes the balance scales shown?- 100 g + 200 g = 500 g
- 600 g + 100 g = 500 g
- 100 g + 400 g = 500 g ✓
- 500 g = 200 g + 300 g
-
Which of these equations shows the redistribution in the image?- (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
-
Which of these equations shows the redistribution in the image?- (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
- (5 kg − 1 kg) + (5 kg − 1 kg) = 10 kg
-
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- If one part is increased and the other is decreased by the same amount, the whole stays the same.
- If one part is decreased and the other is increased by the same amount, the whole stays the same.
- Redistributing between parts with the whole staying the same is sometimes known as the 'same sum' rule.
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.
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.
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