Year 6 - Maths
Using balanced equations to calculate redistribution
Use equivalence and compensation to simplify and solve addition calculations
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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 balanced equations to calculate redistribution.
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
- 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 Mistakes To Avoid
- 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.
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. 'Whole'
The whole is all the parts or everything, the total amount. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: 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. Correction: 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.
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 redistribution with addition of decimal fractions Study Guide
- Using redistribution with addition of integers Study Guide
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