New
New
Explain how making a factor 10 times the size affects the product
I can explain how making a factor 10 times the size affects the product
Lesson 10 of 15
New
New
- Year 4
Explain how making a factor 10 times the size affects the product
I can explain how making a factor 10 times the size affects the product
Lesson details
Key learning points
- If one factor is made ten times the size, the product will be ten times the size.
- One factor has been multiplied by 10 so the product is multiplied by 10
- When multiplying two numbers, if either factor is made 10 times the size, the product will be 10 times the size.
- 6 multiplied by 30 is equal to 60 multiplied by 3 or 6 tens multiplied by 3
Keywords
Factor - A factor is a number which exactly divides another whole number.
Product - A product is the result of two or more numbers multiplied together.
Common misconception
Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract.
Smaller multiplications can be used with Base 10 to model scaling to start off with. Try 2 × 1 or 3 × 1 scaling up to become 2 × 10 or 3 × 10 with Base 10 and then put this modelling side-by-side with place value counters to make the links.
Times table knowledge is very useful in this lesson. If you've pupils whose times table knowledge is less secure, give them a times tables grid to use so that they can focus on the key learning in the lesson. You could also plan to use examples involving times tables with which they are familiar.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of the numbers in the following equation is the product? 3 × 6 = 18
Which of the numbers in the following equation is the product? 3 × 6 = 18
Q2.Match the times table expressions with the correct product.
Match the times table expressions with the correct product.
Q3.Which of these times table facts is being shown by the array?
Which of these times table facts is being shown by the array?
5 × 5 = 25
3 × 5 = 15
4 × 3 = 12
Q4.Match the expressions showing commutativity.
Match the expressions showing commutativity.
Q5.Tick the expressions that this array is showing.
Tick the expressions that this array is showing.
5 × 4
3 × 5
5 x 3
Q6.True or false? To multiply a whole number by 10, place a zero after the final digit of that number.
True or false? To multiply a whole number by 10, place a zero after the final digit of that number.
False
Assessment exit quiz
6 Questions
Q1.True or false? If one factor is made 10 times the size the product will be 10 times the size.
True or false? If one factor is made 10 times the size the product will be 10 times the size.
False
Q2.Match the equations to the related multiplications with a factor 10 times the size.
Match the equations to the related multiplications with a factor 10 times the size.
Q3.Match the expressions with the same value.
Match the expressions with the same value.
Q4.5 × 50 =
5 × 50 =
Q5.60 × 9 =
60 × 9 =
Q6.In the art cupboard, plastic pots hold 40 paintbrushes each. There are 8 pots. How many paintbrushes are there in total? paintbrushes.
In the art cupboard, plastic pots hold 40 paintbrushes each. There are 8 pots. How many paintbrushes are there in total? paintbrushes.
