Year 6 - Maths
Use equivalence and compensation strategies to solve problems
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 can use equivalence and compensation strategies to solve problems.
Key Notes
- The part-whole structure can be used to represent additive problems.
- A bar model can be used to represent additive problems.
- A balance beam can be used to represent equivalence and compensation.
Vocabulary To Learn
- Equivalence: Equivalence is when two or more things have the same value.
- Compensation: Compensation is a mental strategy which involves adjusting parts of an equation while maintaining equivalence.
- Unknown: An unknown is a quantity that has a set value but it is represented by a symbol or letter.
- Expression: An expression contains one or more values, where each value is separated by an operator.
Common Mistakes To Avoid
- Pupils might find it hard to understand that they needn't recalculate the parts after adjustment if the question wants the new whole.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The part-whole structure can be used to represent additive problems. A bar model can be used to represent additive problems.
2. Use this key word in a maths sentence and explain it clearly. 'Equivalence'
Equivalence is when two or more things have the same value. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils might find it hard to understand that they needn't recalculate the parts after adjustment if the question wants the new whole. Correction: Show jottings and workings for two examples side-by-side. In the 1st example, calculate all the parts after adjustment as well as the new whole. In the 2nd, calculate only the new whole. Discuss with the pupils which is the most efficient and why.
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
- Using balanced equations to calculate redistribution Study Guide
- Using redistribution with addition of decimal fractions Study Guide
- Using redistribution with addition of integers Study Guide
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