Starter quiz
- Which word or phrase describes multiples of numbers that are next to each other when skip counting?
- Greater
- Product
- Adjacent ✓
- Factors
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Which number on this number line is not a multiple of 3?- '22' ✓
Which multiples of 3 are adjacent to 27?- 21 and 25
- 23 and 28
- 24 and 30 ✓
- 26 and 28
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- A multiple of 3 is missing from this list: 15, 18, 21, ______, 27, 30 How can we use the adjacent multiples in this example?
- 21 + 3 ✓
- 27 − 3 ✓
- Count along the number line up to the missing number
- Say the number that is one more than 21
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- Using your knowledge of groups, order the calculations starting with the smallest product.
- 1⇔3 × 4
- 2⇔5 × 3
- 3⇔7 × 3
- 4⇔3 × 9
- 5⇔10 × 3
- Izzy knows that 13 × 3 = 39 She used the known fact of 12 × 3 = 36 and _________ 3
- added ✓
- subtracted
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Exit quiz
Look at the image. Match the size of the group to the number of groups.- Groups of 3⇔6 ✓
- Groups of 6⇔3 ✓
- Which numbers are both multiples of 3 and multiples of 6?
- 3
- 6 ✓
- 15
- 18 ✓
- 27
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- Multiples of 6 are ______ the multiples of 3
- 'double' ✓
- Match the groups of 6 to the groups of 3
- 2 groups of 3⇔1 group of 6 ✓
- 3 groups of 4⇔2 groups of 6 ✓
- 6 groups of 3⇔3 groups of 6 ✓
- 8 groups of 3⇔6 groups of 4 ✓
Look at the array. Match the questions to the correct answers.- How many groups of 3 are there?⇔6 ✓
- How many groups of 6 are there?⇔3 ✓
- 6 × 3 =⇔18 ✓
- 3 × 6 =⇔18 ✓
- Which of the statements are true?
- If a factor is doubled, the product is halved
- All multiples of 6 are multiples of 3 ✓
- All multiples of 3 are multiples of 6
- If a factor is doubled, the product also doubles ✓
- If a factor is halved, the product also halves ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- All multiples of 6 are multiples of 3
- Not all multiples of 3 are multiples of 6
- Multiples of 6 are double the multiples of 3
- Multiples of 3 are half the multiples of 6
Common misconception
Lack of fluency in the 3s and 6s times tables can lead to pupils being slower to grasp the generalisation about the relationship between the 3 and 6 times tables.
Use arrays and other representations to draw clear comparisons. Multiplication grids could also be provided while pupils become more fluent in recall.
Keywords
Multiple - A multiple is the result of multiplying a number by another whole number.
Double / double - Doubling is the act of becoming twice as many.
Halve / halving - Halving means to divide into two equal parts.
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