Use knowledge of the distributive law to solve problems in different contexts | Maths

Starter quiz

Which factor has been partitioned using the distributive law in the second expression here? 5 × 16 = 5 × 8 + 5 × 8

5

16 ✓

8
92 + 60 = ______

'152' ✓
64 + 73 = ______

'137' ✓
Which of the following expressions represents the total number of doughnuts if I have 10 boxes of 5 chocolate doughnuts and 3 boxes of 5 strawberry doughnuts.

10 × 5 + 3 × 5 ✓

10 × 3 + 5 × 5

10 + 5 + 3 + 5

10 + 3 + 5 + 5
Which of the following expressions is the array representing?

7 × 9 + 7 × 5

2 × 9 + 5 × 9 ✓

2 × 7 + 2 × 5
Double 78 is ______

'156' ✓

Which of the following expressions is equivalent to 19 × 7?

10 × 9 + 10 × 7

20 × 7 − 7 ✓

20 × 7 − 7 × 19
What is the missing number in the array shown?

'8' ✓
Use the distributive law to calculate how many sides there are in 16 heptagons.

'112' ✓
Use the distributive law to calculate how many sides there are in 19 hexagons.

'114' ✓
Andeep has 150 points to spend on battle robots. He wants to buy 8 Chuck robots, which are 19 points each. Can he afford it?

Yes

No ✓
Izzy has 120 points to spend on battle robots. She wants to buy 8 Ice robots which are 15 points each. Can she afford it?

Yes ✓

No

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The distributive law allows you to add or subtract known times tables to solve problems.
You can partition the group number or the size of a group to solve problems.
Factors can be re-combined or subtracted to simplify 2-part problems.

Pupils may be less familiar with the names and properties of polygons and this may be a distraction from the focus of the learning.

Consider providing scaffolds for some pupils or pre-learning to revise shape names and properties.

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.
Polygon - A polygon is a 2D shape made up of 3 or more straight lines.