Year 6 - Maths
Explain how adjusting one part affects the sum
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 explain how adjusting one addend or part affects the sum or whole.
Key Notes
- If I increase this part or 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
- 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. This can be done to a part or a whole.
- Whole: The whole is all the parts or everything, the total amount.
- Part: A part is some of the whole.
Common Mistakes To Avoid
- Many pupils understand the equals symbol as 'makes' or a the symbol you simply place in front of the answer. This can make the idea of a balanced equation tricky, undoing concepts like adjustment.
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 or 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. '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: Many pupils understand the equals symbol as 'makes' or a the symbol you simply place in front of the answer. This can make the idea of a balanced equation tricky, undoing concepts like adjustment. Correction: Get all the pupils to write an expression (as unique as possible) that is equal to 10 and display them in the classroom. Ask the children what symbol could be placed between all of them and explore why.
More Lessons In This Unit
- 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 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.