Year 6 - Maths
Solve addition calculations mentally by using known facts 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 solve addition calculations mentally by using known facts in a range of contexts.
Key Notes
- If I increase this part by __ then the whole will increase by the same amount.
- If I decrease this part by __ then the whole will decrease by the same amount.
- A balance beam can represent unequal expressions or inequalities.
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.
- Adjustment: An adjustment is a change to a number using either subtraction or addition.
- Capacity: Capacity is the amount that something can hold.
Common Mistakes To Avoid
- Pupils may be very quick to try and use a written method such as columns here, particularly as the numbers get larger.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If I increase this part by __ then the whole will increase by the same amount. If I decrease this part by __ then the whole will decrease by the same amount.
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: Pupils may be very quick to try and use a written method such as columns here, particularly as the numbers get larger. Correction: Encourage the children to refrain and reward them taking risks and avoiding using written methods as much as possible. Prove to them that it's quicker to do it in your head or with jottings by racing your fastest 'columns ' exponent!
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 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
- Using redistribution with addition of integers Study Guide
Browse all guides in the Year 6 Maths guide library.