Year 6 - Maths
Explain how to balance equations with addition and subtraction expressions
Calculating using knowledge of equivalence in addition and subtraction
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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 will explain how to balance equations with addition or subtraction expressions and use their knowledge of balancing equations to solve problems.
Lesson Summary
You can explain how to balance equations with addition and subtraction expressions.
Key Notes
- If one addend is increased and the other is decreased by the same amount, the sum stays the same.
- If the minuend and subtrahend are changed by the same amount, the difference stays the same.
Vocabulary To Learn
- Equation: An equation is used to show that one number, calculation or express is equal to another.
- Expression: An expression contains one or more terms or numbers, where each term or number is separated by and operator but an expression does not have an equals sign.
Common Mistakes To Avoid
- Thinking that you can change the values of subtraction and addition expressions by making the same changes.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If one addend is increased and the other is decreased by the same amount, the sum stays the same. If the minuend and subtrahend are changed by the same amount, the difference stays the same.
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 express 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: Thinking that you can change the values of subtraction and addition expressions by making the same changes. Correction: Go back and explore what happens when you change different elements of addition and subtraction equations. Use stem sentences from earlier learning to highlight what happens to the sum and difference when values are changed in equations.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.