Using redistribution with addition of integers
Lesson details
Learning outcome
I can use redistribution with addition of integers.
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
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.
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!
Teacher tip
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the missing part in this bar model?
Q2.134 + 99 =
Q3.Jun buys two packs of apples which cost £1.99 each. How much does he spend altogether? Jun spends £
Q4.Sofia has £5 to spend. She spends £3.50 on a ball. How much change should she receive?
Q5.What is the missing part in this bar model?
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?
Assessment exit quiz
6 Questions
Q1.Is the question mark on the bar model a part or whole?
Q2.Use the mental strategy of redistribution to calculate the sum. 34 + 29 =
Q3.Use the mental strategy of redistribution to calculate the sum. 69 + 45 =
Q4.Use the mental strategy of redistribution to calculate the sum. 20,999 + 7,573 =
Q5.Which of these additions do you think was most likely to have been solved using redistribution?
Q6.Which inequality symbol should be placed between these two addition expressions? Use redistribution to help.
2,002 + 10,567 1,997 + 10,574
To help you plan your 6 maths lesson on: Using redistribution with addition of integers, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Using redistribution with addition of integers, 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.