Using balanced equations to calculate redistribution
Lesson details
Learning outcome
I can use balanced equations to calculate redistribution.
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.
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.
Teacher tip
Some children may find it useful to use real bucket scales and weights to enact the problems so have them on hand if needed.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the missing part in this bar model?
Q2.373 − 99 =
Q3.Jun buys two frisbees which cost £11.99 each. How much does he spend altogether? Jun spends £
Q4.Sofia has £20 to spend. She buys a football for £14.50 so how much change should she receive? Sofia should receive £ change.
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?
Q6.What is the missing part in this bar model?
Assessment exit quiz
6 Questions
Q1.True or false? Redistribution from one part to another changes the whole.
Q2.Which of the following are expressions?
Q3.Which of the following images shows an equation?
Q4.Which of the following equations describes the balance scales shown?
Q5.Which of these equations shows the redistribution in the image?
Q6.Which of these equations shows the redistribution in the image?
To help you plan your 6 maths lesson on: Using balanced equations to calculate redistribution, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Using balanced equations to calculate redistribution, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Use equivalence and compensation to simplify and solve addition calculations unit, dive into the full primary maths curriculum, or learn more about lesson planning.