New
New
Year 3

Scale divisions derived from multiplication facts by 10

I can use unitising and multiplying and dividing by 10 to scale division facts.

New
New
Year 3

Scale divisions derived from multiplication facts by 10

I can use unitising and multiplying and dividing by 10 to scale division facts.

Lesson details

Key learning points

  1. Division is the inverse of multiplication
  2. If you know that 3 groups of 4 are equal to 12 then there are 3 groups of 4 in 12
  3. If you know there are 3 groups of 4 in 12 then there are 3 groups of 4 tens in 12 tens

Keywords

  • Scale / scaling - Scaling is when a given quantity is made ___ times the size. In this lesson, scaling will involve making values 10 times the size.

  • Inverse - Inverse means the opposite in effect. The reverse of.

Common misconception

Lack of fluency in 2s, 4s and 8s times tables and not understanding the divisibility rules or the problems.

To clearly model use of gattegno chart or place value chart to highlight scaling up and down by 10. Highlight key words of worded problems to understand the problem and the operation required for the calculation.

In this lesson, the Gattegno chart is used to highlight the relationship of multiplying / dividing a number by 10. Alternatively, a place value chart can be used. Continue to use language of unitisation e.g. if 4 ones multiplied by 3 is 12 ones then 4 tens multiplied by 3 is 12 tens.
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).

Lesson video

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6 Questions

Q1.
Select the numbers which are multiples of both 4 and 8
2
4
Correct answer: 8
13
Correct answer: 24
Q2.
8 × 9 can help you to solve which of these multiplication equations?
Correct answer: 8 × 90 =
Correct answer: 80 × 9 =
6 × 5 =
5 × 7 =
Q3.
Match the expressions on the left which can help you to solve the expressions on the right.
Correct Answer:8 × 4,8 × 40

8 × 40

Correct Answer:4 × 6,60 × 4

60 × 4

Correct Answer:2 × 8,20 × 8

20 × 8

Correct Answer:6 × 9,6 × 90

6 × 90

Q4.
If 4 × 4 = 16 then 40 × 4 =
Correct Answer: 160
Q5.
Complete: If 8 × 8 = 64 then 80 × 8 =
Correct Answer: 640
Q6.
Andeep has collected 5 packets of 8 guinea cards. Izzy has collected 10 times as many as Andeep. How many guinea cards does Izzy have?
Correct Answer: 400

6 Questions

Q1.
Which equations does this array represent?
An image in a quiz
Correct answer: 3 × 4 =
Correct answer: 4 × 3 =
3 × 5 =
3 + 4 =
3 + 3 + 3 =
Q2.
Which division equation does this array represent?
An image in a quiz
20 ÷ 3 =
Correct answer: 20 ÷ 4 =
Correct answer: 20 ÷ 5 =
20 + 5 =
Q3.
Fill in the gap in this diagram showing related facts. 80 ÷ 4 = ___
An image in a quiz
2
Correct answer: 20
200
Q4.
Fill in the gap in this diagram showing related facts. ÷ 2 = 20
An image in a quiz
Correct Answer: 40
Q5.
Use your knowledge of times tables to fill in the gap.
An image in a quiz
Correct Answer: 80
Q6.
Fill in the gap. The same number can be written in both.
An image in a quiz
Correct Answer: 200