Year 6 - Maths
Explain how a combination of different parts can be equivalent to the same whole
Use knowledge of part-part-whole structure to solve additive problems
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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 identify the mathematical structures within stories and use their knowledge of additive structures to create stories and to solve problems.
Lesson Summary
You will learn to explain how a combination of different parts can be equivalent to the same whole.
Key Notes
- The same whole can be composed in different ways.
- Different ways of composing the whole are equivalent.
- Expressions can be used to express the combinations of different parts of the whole.
Vocabulary To Learn
- Equivalent: Two expressions are equivalent if they have the same value.
Common Mistakes To Avoid
- Pupils may look at each rod as representing a number rather than focusing on the colour.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The same whole can be composed in different ways. Different ways of composing the whole are equivalent.
2. Use this key word in a maths sentence and explain it clearly. 'Equivalent'
Two expressions are equivalent if they have the same value. 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 look at each rod as representing a number rather than focusing on the colour. Correction: Remind pupils that the rods have no numerical value and encourage pupils discuss the rods by their colour name. They may notice proportional relationships but these should not be labelled numerically.
More Lessons In This Unit
- Create stories to match structures presented in a model Study Guide
- Identify structures within stories and use knowledge of structures to create stories Study Guide
- Identify the missing part using knowledge of relationships and structures Study Guide
- Represent an equation in a part-part-whole model correctly Study Guide
- Use a model to interpret a part-part-whole problem with three addends Study Guide
- Use knowledge of additive structure to solve problems Study Guide
- Use mental strategies and known facts to calculate the value of a missing part Study Guide
- Use part-part-whole structures to solve additive problems in a range of contexts Study Guide
- Use written strategies and known facts to calculate the value of a missing part Study Guide
Browse all guides in the Year 6 Maths guide library.