# Multiplication as scaling

## Lesson details

### Key learning points

1. In this lesson, we will explore multiplication involving at least one positive number and learn how it is possible to visualise multiplication as a stretch by a scale factor.

### 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

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Which word best completes the gap: -14 and 14 are additive inverses as they sum to ____
negative
subtraction
the same thing
twenty eight
Q2.
Which words (in order) best complete this sentence: __________________________ can be viewed as the ________________________ of the additive inverse.
Subtraction, subtraction
Q3.
Complete the gap: -3 - (-5) = (-3) + _____
-1
-5
-8
2
Q4.
Which calculation gives the smallest answer?
-9-(-12)
9 - (-12)
9- 12
Q5.
Which calculation gives the largest answer?
-9-(-12)
(-9)-12
9- 12

## Exit quiz

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### 8 Questions

Q1.
Fill in the gap: Multiplication when viewed as scaling can be thought of as a ___________.
multiplication
scale factor
scaling
Q2.
Fill in the gap: Looking at the diagram below we can use a ___________ to describe how much the number was scaled by.
multiplication
scaling
stretch
Q3.
Fill in the gap: In the diagram below the top arrow can be visualised as stretching -10 by a scale factor of_____.
-10
-3
-30
Q4.
Calculate the following product: 9 x (-12)
-112
108
92
Q5.
Calculate the following product: 0.5 x (-12)
-24
24
6
Q6.
Which calculation best represents the unlabelled arrow?
2 x (-5) = -10
Correct answer: 3 x (-5) = -15
4 x (-5) = -20
6 x (-5) = -30
Q7.
Which calculation best represents the unlabelled arrow.
Correct answer: 0.5 x (-5) = -2.5
1 x (-5) = -5
3 x (-5) = -15
None of the above
Q8.
Calculate: 3 x (-2) + 7 x (-3) - (-27)
-15
-30
27