Year 6 - Maths
Use part-part-whole structures to solve additive problems in a range of contexts
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 use knowledge of part-part-whole structures to solve additive problems in a range of contexts.
Key Notes
- A representation helps to make sense of an equation or problem.
- A bar model can be used to help solve additive problems.
- A part-whole model can be used to identify the equation needed to solve an additive problem.
Vocabulary To Learn
- Represent: To represent something means to show something in a different way.
Common Mistakes To Avoid
- Pupils struggle to find a way into solving the number puzzles at first.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A representation helps to make sense of an equation or problem. A bar model can be used to help solve additive problems.
2. Use this key word in a maths sentence and explain it clearly. 'Represent'
To represent something means to show something in a different way. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils struggle to find a way into solving the number puzzles at first. Correction: It is important that pupils can identify what the whole is for each problem. Encourage pupils to draw a bar model to help link the problem to its part and wholes. This may help them identify the parts and whole and how to calculate any missing parts.
More Lessons In This Unit
- Create stories to match structures presented in a model Study Guide
- Explain how a combination of different parts can be equivalent to the same whole 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 written strategies and known facts to calculate the value of a missing part Study Guide
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