Year 6 - Maths
Explain how to balance equations with addition 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 will learn to explain how to balance equations with addition expressions.
Key Notes
- If one addend is increased and the other is decreased by the same amount, the sum stays the same.
- If one addend is increased or decreased then the sum increases or decreases by the same amount.
Vocabulary To Learn
- Unknown: An unknown is a quantity that has a set value but it is represented by a symbol or letter.
- Equation: An equation is used to show that one number, calculation or expression is equal to another.
- Expression: An expression contains one or more values, where each value is separated by an operator.
Common Mistakes To Avoid
- Pupils immediately calculate expressions instead of considering the relationship between expressions.
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 one addend is increased or decreased then the sum increases or decreases by the same amount.
2. Use this key word in a maths sentence and explain it clearly. 'Unknown'
An unknown is a quantity that has a set value but it is represented by a symbol or letter. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils immediately calculate expressions instead of considering the relationship between expressions. Correction: Take time to model interrogation of values within expressions, identifying relationships between them. Encourage this reasoning and show how it can be more efficient than calculation especially in situations with larger values.
More Lessons In This Unit
- Explain how to balance equations with addition and subtraction expressions Study Guide
- Explain how to balance equations with addition or subtraction expressions Study Guide
- Explain how to balance equations with subtraction expressions Study Guide
- Use knowledge of balancing equations to solve problems Study Guide
Browse all guides in the Year 6 Maths guide library.