Year 6 - Maths
Using redistribution with addition of integers
Use equivalence and compensation to simplify and solve addition calculations
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils used the concept of same sum to simplify and solve addition problems.
Lesson Summary
You will learn to use redistribution with addition of integers.
Key Notes
- 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.
Vocabulary To Learn
- 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 Mistakes To Avoid
- 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.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
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.
2. Use this key word in a maths sentence and explain it clearly. 'Redistribution'
Redistribution is where part of one addend is moved to another addend. It is sometimes known as the same sum rule. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: 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. Correction: 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!
More Lessons In This Unit
- Explain how adjusting one part affects the sum Study Guide
- Solve addition calculations mentally by using known facts Study Guide
- Solve addition calculations mentally by using known facts in a range of contexts Study Guide
- Solve calculations with missing parts Study Guide
- Use a balanced equation to calculate unknown parts Study Guide
- Use equivalence and compensation strategies to solve addition problems in a range of contexts Study Guide
- Use equivalence and compensation strategies to solve problems Study Guide
- Using balanced equations to calculate redistribution Study Guide
- Using redistribution with addition of decimal fractions Study Guide
Browse all guides in the Year 6 Maths guide library.