Year 6 - Maths
Use equivalence and compensation strategies to solve addition problems in a range of contexts
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 equivalence and compensation strategies to solve addition problems in a range of contexts.
Key Notes
- The part-whole structure can be used to represent additive problems in a range of contexts.
- A bar model structure can be used to represent additive problems in a range of contexts.
- The same sum rule can be used to solve additive problems in a range of contexts.
Vocabulary To Learn
- Budget: A budget is the total amount of money that you have to spend on something. It is often split into parts and money can be redistributed between these parts.
- Unknown: An unknown is a quantity that has a set value but it is represented by a symbol or letter.
- Adjust: When you adjust you make a change to a number.
- Redistribution: Redistribution is where some of one part is moved to another part. It is sometimes known as the same sum rule.
Common Mistakes To Avoid
- The idea of an extra cost being an addition and a saving being a subtraction can seem counter-intuitive to some children.
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 in a range of contexts. A bar model structure can be used to represent additive problems in a range of contexts.
2. Use this key word in a maths sentence and explain it clearly. 'Budget'
A budget is the total amount of money that you have to spend on something. It is often split into parts and money can be redistributed between these parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The idea of an extra cost being an addition and a saving being a subtraction can seem counter-intuitive to some children. Correction: Talk through a more basic version using a pound for a budget and sweets at a tuck shop.
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 problems 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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