Starter quiz
- What is the product of 6 and 25?
- '150' ✓
- What is the missing factor 7 × ______ = 84
- '12' ✓
- Which pair of factors would you multiply together first to create the most efficient calculation? 17 × 40 × 5 =
- 17 and 40
- 17 and 5
- 5 and 40 ✓
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- Which equation is easiest to calculate?
- 72 × 20 × 5 =
- 72 × (5 × 20) = ✓
- 5 × (20 × 71) =
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- There are two rabbits and each rabbit eats 50 g of food a day. How much will the rabbits have eaten in total after 14 days? ______ g
- '1,400' ✓
- There are 4 children in the family. They all drink a 250 ml carton of milk each at breakfast. How much milk is drunk in total each week? ______ ml
- '7,000' ✓
Exit quiz
Which statement is correct about this array?- There are 2 groups of 8 × 4
- There are 8 groups of 4 × 2
- There are 4 groups of 8 x 2 ✓
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Tick all the statements or expressions that are true about the representation.- There are 2 groups of 6 × 4
- 2 × (6 × 4)
- 6 × (5 × 2) ✓
- There are 6 groups of 5 × 2 ✓
- 10 × 6 ✓
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- Tick the array that has been divided correctly into 3 factors.
Which pair of factors would you choose for this calculation to calculate most efficiently?- 1 × 48
- 2 × 24 ✓
- 3 × 16
- 4 × 12 ✓
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- Tick the correct calculations.
- 24 × 5 = 12 × (2 × 5) ✓
- 32 × 5 = 16 × (2 × 5) ✓
- 42 × 5 = 22 × (2 × 5)
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- Andeep is calculating 5 × 48 He says he has simplified his calculation to 5 × 8 × 6 to make it easier. Which statement is correct?
- This is the most efficient calculation.
- He could simplify it further by using 4 × 12 ✓
- He could simplify it further by using 2 × 24
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Times table facts can simplify multiplication calculations using the factors of a number to make the calculation easier.
Common misconception
Pupils think that the factor that must become the product of two factors is always the largest factor.
Ensure pupils are provided with a range of opportunities to break down factors, identifying where it does make a calculation easier, and also where it doesn't make the calculation easier.
Keywords
Array - An array is when items are arranged in rows and/or columns.
Factor - Factors are whole numbers which exactly divide another whole number.
Associative - The associative law states that it doesn't matter how you group or pair values (i.e. which we calculate first), the result is still the same. It applies for addition and multiplication.
Efficient - Working efficiently means finding a way to solve a problem quickly whilst also maintaining accuracy.
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