# Solving 2-digit multiplication calculations using the distributive law

## Lesson details

### Key learning points

1. In this lesson, we will explore the distributive law in multiplication. We will solve 2-digit multiplication problems using the partitioning method and the compensating method.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

Share with pupils

## Worksheet

Share with pupils

## Starter quiz

Share with pupils

### 4 Questions

Q1.
Which equation does not have the answer of 20?
10 + 10
10 x 2
5 x 4
Others
Q2.
Select the correct calculation for distributive law for the array.
4 + 4 and 4 x 3
Correct answer: 4 x 2 and 4 x 2
5 x 4 and 4 x 2
6 x 3 and 4 x 1
Others
Q3.
Select the calculations that do not represent the array.
1 x 4 and 2 x 4
3 x 4
4 + 4 + 4
Q4.
Which calculation does the array not represent?
10 x 7 and 3 x 7 and 3 x 7
10 x 7 and 6 x 7
Correct answer: 3 x 10 and 9 x 3
4 x 7 and 2 x 7 and 10 x 7

## Exit quiz

Share with pupils

### 4 Questions

Q1.
27 + ___ = 9 x 5
12
17
28
Others
Q2.
Which area model shows the compensation method?
6 x 3 and 4 x 1
Q3.
Which area model matches the bar model?
Option 2
Option 3
Q4.
Which calculations correctly find the value of the array?
Correct answer: 10 x 7 = 70 6 x 7 = 42 70 + 42 = 112
10 x 7 = 90 6 x 7 = 42 42 + 42 = 84
20 x 7 = 140 140 ÷ 2 = 70