New
New
Year 4

Use knowledge of the distributive law to solve two part addition problems

I can use knowledge of the distributive law to solve two part addition problems efficiently.

New
New
Year 4

Use knowledge of the distributive law to solve two part addition problems

I can use knowledge of the distributive law to solve two part addition problems efficiently.

Lesson details

Key learning points

  1. Partitioning a factor is called distribution or using the distributive law.
  2. Factors can be re-combined to simplify 2-part addition problems.
  3. 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.

Worded problems are used to contextualise. Consider your class and adapt contexts if needed to suit.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Which of the numbers in the following equation are the factors? 21 = 7 × 3
21
Correct answer: 3
Correct answer: 7
Q2.
54 + 8 =
Correct Answer: 62
Q3.
62 + 25 =
Correct Answer: 87
Q4.
There are 4 bags of 5 apples. Match the object with group size or number of groups.
Correct Answer:bags,number of groups

number of groups

Correct Answer:apples,group size

group size

Q5.
Which of the following expressions is the array representing?
An image in a quiz
6 × 3
3 × 8
Correct answer: 6 × 9
8 × 6
Q6.
Double 56 is ___
106
108
110
Correct answer: 112

6 Questions

Q1.
Tick the expressions that are equal in value to 3 × 8
Correct answer: 3 × 5 + 3 × 3
Correct answer: 3 × 2 + 3 × 6
3 × 4 + 3 × 2
Q2.
Tick the expressions that are equal in value to 5 × 9
Correct answer: 4 × 5 + 5 × 5
Correct answer: 2 × 9 + 3 × 9
3 × 9 + 9 × 6
Q3.
Which number goes in both gaps as a common factor? 2 × + ___ × 3 = 20
Correct Answer: 4, four
Q4.
Use distributive law to solve the two part addition of 2 × 4 + 2 × 5 =
Correct Answer: 18
Q5.
Use distributive law to solve the two part addition of 3 × 8 + 8 × 5 =
Correct Answer: 64
Q6.
Use distributive law to solve the two part addition of 9 × 3 + 5 × 9 =
Correct Answer: 72