Starter quiz
- Which of the numbers in the following equation is the product? 18 = 6 × 3
- 18 ✓
- 6
- 3
-
- 44 + 13 = ______
- '57' ✓
- 54 + 35 = ______
- '89' ✓
- Which of the following expressions represents the total number of apples if I have 3 bags of 7 apples and 3 bags of 5 apples.
- 3 × 3 + 5 × 7
- 3 × 7 + 3 × 5 ✓
- 3 × 3 + 7 × 5
- 3 + 7 + 3 + 5
-
Which of the following expressions is the array representing?- 6 × 3 + 6 × 6 ✓
- 3 × 8 + 6 × 6
- 6 × 6 + 6 × 9
- 8 × 6 + 6 × 6
-
- Double 72 is ___
- 138
- 140
- 142
- 144 ✓
-
Exit quiz
- What is the common factor of the two multiplication expressions being added together in this equation? 6 × 5 − 4 × 5
- '5' ✓
- Match the expressions that have equal value.
- 6 × 5 − 2 × 5⇔4 × 5 ✓
- 6 × 5 − 3 × 5⇔3 × 5 ✓
- 6 × 7 − 6 × 3⇔6 × 4 ✓
- Solve this equation using the distributive law. 8 × 4 − 3 × 4 = ______
- '20' ✓
- Solve this equation using the distributive law. 7 × 5 − 2 × 5 = {{ }
- '25' ✓
- There are 10 boxes of 6 eggs on the shelf. 4 boxes fall off and the eggs inside all break. How many eggs are left on the shelf? ______ eggs
- '36' ✓
- Aisha gets £8 pocket money each week but chooses to spend only £3 of it and save the rest. How much will she save after 8 weeks? £______
- '40' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- Partitioning a factor is called distribution or using the distributive law.
- Partitioned factors can be subtracted to simplify two-part subtraction problems.
- Eight 9s subtract three 9s is equal to five 9s.
Common misconception
When looking at an expression such as 5 × 6 − 5 × 3 children might be tempted to subtract first leading to an expression like this: 5 × 1 × 3
Ensure that you support the equation with the arrays so that pupils understand where the multiplication expressions come from and they can match the partial products to the arrays.
Keywords
Common factor - When we compare lists of factors of two or more numbers, any factors that are the same are the common factors.
Distributive law - The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
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