Year 6 - Maths
Solve addition calculations mentally by using known facts
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 solve addition calculations mentally by using known facts.
Key Notes
- If I increase this addend by __ then the sum will increase by the same amount.
- If I decrease this addend by __ then the sum will decrease by the same amount.
- A balance beam can represent unequal expressions or inequalities.
Vocabulary To Learn
- Equation: An equation is used to show that one number, calculation or expression is equal to another.
- Adjustment: An adjustment is a change to a number using either subtraction or addition.
- Whole: The whole is all the parts or everything, the total amount.
- Part: A part is a piece or section of the whole.
Common Mistakes To Avoid
- Pupils may find it hard to understand that recalculating the adjusted part is an unnecessary step.
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 addend by __ then the sum will increase by the same amount. If I decrease this addend by __ then the sum will decrease by the same amount.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show that one number, calculation or expression is equal to another. 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 find it hard to understand that recalculating the adjusted part is an unnecessary step. Correction: Display two sets of workings side-by-side. In the 1st, show the adjusted part being recalculated. In the 2nd, show it without recalculating the part. Pupils will hopefully see that the solution emerges from both.
More Lessons In This Unit
- Explain how adjusting one part affects the sum 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
- Using redistribution with addition of integers Study Guide
Browse all guides in the Year 6 Maths guide library.