Year 5 - Maths
Use knowledge of properties of number to solve problems
Use common factors and multiples to solve calculations efficiently
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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 identify common factors and multiples and use this knowledge of properties of number along with knowledge of the commutative and associative laws to solve problems in a range of contexts.
Lesson Summary
You will learn to use knowledge of properties of number to solve problems.
Key Notes
- Properties of number allow us to talk about numbers and to sort and classify them
Vocabulary To Learn
- Factor: Factors are whole numbers which exactly divide another whole number.
- Multiple: A multiple is the result of multiplying a number by an integer (not by a fraction).
- Property: A property is a character or quality that something has.
- Classify: When you classify objects, you arrange the objects by some property.
Common Mistakes To Avoid
- Pupils who are insecure with their times tables may not be efficient at finding factors and multiples.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Properties of number allow us to talk about numbers and to sort and classify them. Properties of number allow us to talk about numbers and to sort and classify them.
2. Use this key word in a maths sentence and explain it clearly. 'Factor'
Factors are whole numbers which exactly divide another whole number. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils who are insecure with their times tables may not be efficient at finding factors and multiples. Correction: Provide children with a multiplication grid to support them in identifying factors and multiples. When finding a multiple, ask: 'Is it in the x times table?' When finding a factor, ask: 'Which times tables is this number in?'.
More Lessons In This Unit
- Explain how to identify a common multiple of two or more numbers Study Guide
- Explain how to identify common factors between two or more numbers Study Guide
- Explain how to use the factor pairs of 100 to solve calculations efficiently Study Guide
- Use properties of numbers and the commutative and associative laws to simplify calculations Study Guide
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