Starter quiz
- Complete the statement. Factors and multiples are __________ .
- always even
- always odd
- decimals
- inverse concepts ✓
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- Given the calculation , select the correct statement:
- 9 and 2 are factors of 18 ✓
- 9 and 2 are multiples of 18
- 18 is a square number
- 18 is a factor of 9 and 2
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- Match the numbers with their factors.
- Factors of 12 are:⇔1, 2, 3, 4, 6 and 12 ✓
- Factors of 10 are:⇔1, 2, 5 and 10 ✓
- Factors of 24 are:⇔1, 2, 3, 4, 6, 8, 12 and 24 ✓
- Factors of 5 are:⇔1 and 5 ✓
- List all the factors of 10
- 1, 2, 5 and 10 ✓
- 10, 20 , 30, 40 and 50
- 1, 2.5, 2, 5 and 7.5
- Not possible as there are infinite number of factors of 10
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- List all the multiples of 10
- 1, 2, 5 and 10
- 10, 20 , 30, 40 and 50
- 100, 10, 1, 0.1
- Not possible as there are infinite number of multiples of 10 ✓
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- Lucas is thinking about 12. He says "12 is a factor of 12 and 12 is a multiple of 12." Is he correct? Pick the correct justification.
- No, because multiples are always bigger than the factors.
- Yes, because and ✓
- No, because 1 is a multiple of 12
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Exit quiz
- Complete the statement. A common multiple is __________ .
- a number that is a multiple of two or more numbers ✓
- a number which is a factor of two or more numbers
- always even
- always odd
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- Match each number with its first five multiples.
- First five multiples of 5:⇔5, 10, 15, 20, 25 ✓
- First five multiples of 10:⇔10, 20, 30, 40, 50 ✓
- First five multiples of 12:⇔12, 24, 36, 48, 60 ✓
- First five multiples of 2:⇔2, 4, 6, 8, 10 ✓
- Identify the common multiples of 3 and 5
- There are no common multiples of 3 and 5.
- 1, 3, 5, 10...
- 3, 5, 6, 10, 12, 15, ….
- 15, 30, 45, 60, …. ✓
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- Identify the common multiples of 2, 5, and 8.
- 1, 2, 4, 5, 10
- 2, 4, 5, 8, 10, 12, ….
- 40, 80, 120, 160, …. ✓
- There are no common multiples of 2, 5 and 8
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Jacob started listing the first five multiples of a number. He then spilled ink all over his work. Find the number Jacob was listing the multiples for. ______- '413' ✓
- Starting with the largest, sort these fractions into order of size. Use a common denominator to help you.
- 1⇔
- 2⇔
- 3⇔
- 4⇔
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- 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.
Common misconception
A common multiple of all integers is 1.
Get students to list multiples. This is to highlight the fact that 1 is only a multiple of 1.
Keywords
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.
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