Which of the numbers in the following equation are the factors? 21 = 7 × 3
21
3 ✓
7 ✓
54 + 8 = ______
'62' ✓
62 + 25 = ______
'87' ✓
There are 4 bags of 5 apples. Match the object with group size or number of groups.
bags
⇔
number of groups ✓
apples
⇔
group size ✓
Which of the following expressions is the array representing?
6 × 3
3 × 8
6 × 9 ✓
8 × 6
Double 56 is ___
106
108
110
112 ✓
Exit quiz
Tick the expressions that are equal in value to 3 × 8
3 × 5 + 3 × 3 ✓
3 × 2 + 3 × 6 ✓
3 × 4 + 3 × 2
Tick the expressions that are equal in value to 5 × 9
4 × 5 + 5 × 5 ✓
2 × 9 + 3 × 9 ✓
3 × 9 + 9 × 6
Which number goes in both gaps as a common factor? 2 × ______ + ___ × 3 = 20
'4' ✓
Use distributive law to solve the two part addition of 2 × 4 + 2 × 5 = ______
'18' ✓
Use distributive law to solve the two part addition of 3 × 8 + 8 × 5 = ______
'64' ✓
Use distributive law to solve the two part addition of 9 × 3 + 5 × 9 = ______
'72' ✓
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.
Factors can be re-combined to simplify 2-part addition problems.
Five 9s plus three 9s is equal to eight 9s.
Common misconception
When looking at an expression such as 9 × 3 + 9 × 6 children might be tempted to add first leading to an expression like this: 9 × 12 × 6
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 factors - 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.
Which of the following expressions is the array representing?