Year 3 - Maths
Construct a whole when given a part and the number of parts
Unit fractions as part of a whole
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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 represent unit fractions in different ways, identifying the whole, the number of equal parts and the size of each part as a unit fraction, including tenths.
Lesson Summary
You will learn to construct a whole when given a part and the number of parts.
Key Notes
- If you know one part and how many parts there are we can construct the whole.
- If you know that the part is one out of 4 equal parts we can draw the whole.
- The whole can be one shape or a group of objects.
Vocabulary To Learn
- Whole: The whole is all the parts or everything, the total amount.
- Part: A part is some of the whole.
- Construct: Constructing something involves making something by joining parts together.
Common Mistakes To Avoid
- Children might think that any shape they draw around or use is a whole and the new shapes they create represent lots of wholes joined together.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If you know one part and how many parts there are we can construct the whole. If you know that the part is one out of 4 equal parts we can draw the whole.
2. Use this key word in a maths sentence and explain it clearly. 'Whole'
The whole is all the parts or everything, the total amount. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children might think that any shape they draw around or use is a whole and the new shapes they create represent lots of wholes joined together. Correction: Ensure the children understand that a whole can be anything and can change as you add parts to it. A piggy bank is a good analogy for this as you are constantly adding money to the whole and it is made up of many parts.
More Lessons In This Unit
- Explain the size of a part in relation to the whole Study Guide
- Explain why a part can only be defined in relation to a whole Study Guide
- Identify a whole and the parts that make it up Study Guide
- Identify equal parts when they do not look the same Study Guide
- Identify how many equal parts a whole has been divided into Study Guide
- Identify the number of equal or unequal parts in a whole Study Guide
- Represent unit fractions in different ways Study Guide
- Solve problems involving identifying equal parts and the whole Study Guide
- Use fraction notation to describe an equal part of the whole Study Guide
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