Year 7 - Maths
Listing multiples
Properties of number: factors, multiples, squares and cubes
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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 develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.
Lesson Summary
You will learn to state what a multiple is and can list multiples and common multiples of two or more numbers.
Key Notes
- Multiples of a number can be found and listed by counting on or knowledge of multiplication tables.
- Multiples of a number can be found and listed by finding a product.
- Common multiples of 2 or more numbers can be found from a list.
- There are multiple ways to identify common multiples, some are more efficient than others depending on the numbers.
- To compare fractions it may be helpful to identify the lowest common denominator.
Vocabulary To Learn
- Common multiple: A common multiple is a number that is a multiple of two or more numbers.
- Multiple: A multiple is the product of a number and an integer.
Common Mistakes To Avoid
- A common multiple of all integers is 1.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiples of a number can be found and listed by counting on or knowledge of multiplication tables. Multiples of a number can be found and listed by finding a product.
2. Use this key word in a maths sentence and explain it clearly. 'Common multiple'
A common multiple is a number that is a multiple of two or more numbers. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: A common multiple of all integers is 1. Correction: Get students to list multiples. This is to highlight the fact that 1 is only a multiple of 1.
More Lessons In This Unit
- Calculating integers from their prime factor expressions Study Guide
- Checking understanding of factors, multiples, squares and cubes Study Guide
- Checking understanding of prime numbers Study Guide
- Divisibility tests for 2 and 3 Study Guide
- Divisibility tests for 4 and 8 Study Guide
- Divisibility tests for 5 and 10 Study Guide
- Divisibility tests for 6 and 9 Study Guide
- Expressing an integer as a product of its prime factors Study Guide
- HCF or LCM Study Guide
- Highest common factor Study Guide
- Listing factors Study Guide
- Lowest common multiple Study Guide
- Power notation Study Guide
- Powers and roots using a calculator Study Guide
- Problem solving with factors, multiples, squares and cubes Study Guide
- Securing understanding of factors, multiples, squares and cubes Study Guide
- Square and cube numbers Study Guide
- Square and cube roots Study Guide
Browse all guides in the Year 7 Maths guide library.