Year 3 - Maths
Use knowledge of the relationship between parts and wholes to solve problems
Calculate the value of a part (fractions as operators)
Study Hub
Study Guides
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 quantify the number of items in each part and connect to the unit fraction operator. They will calculate the value of a part by connecting knowledge of division and division facts with finding a fraction of a quantity.
Lesson Summary
You will learn to use knowledge of the relationship between parts and wholes to solve problems.
Key Notes
- If two parts are the same size, but a different fraction of the whole, the whole with the most parts will be greater.
- If two parts are different, but are the same fraction of the whole, the whole with the larger part will be greater.
- If the size of the part and the fraction of the whole are different, we need to calculate to determine which is greater.
Vocabulary To Learn
- Times as much: Times as much is a phrase that is used to compare and describe objects.
Common Mistakes To Avoid
- Children may confuse the different methods used to compare fractions of amounts and their wholes.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If two parts are the same size, but a different fraction of the whole, the whole with the most parts will be greater. If two parts are different, but are the same fraction of the whole, the whole with the larger part will be greater.
2. Use this key word in a maths sentence and explain it clearly. 'Times as much'
Times as much is a phrase that is used to compare and describe objects. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may confuse the different methods used to compare fractions of amounts and their wholes. Correction: Guide through questioning. What is the same/different? Can you represent this visually? What is the size/value of the parts? What fraction of the whole is each part?
More Lessons In This Unit
Browse all guides in the Year 3 Maths guide library.