New
New
Year 2

Explain how the quotient is affected when the divisor is equal to the dividend

I can explain how the quotient is affected when the divisor is equal to the dividend.

New
New
Year 2

Explain how the quotient is affected when the divisor is equal to the dividend

I can explain how the quotient is affected when the divisor is equal to the dividend.

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Lesson details

Key learning points

  1. If the divisor is equal to the dividend, then the quotient will be 1
  2. Any number divided by itself is equal to 1

Keywords

  • Dividend - The dividend is what we are dividing.

  • Divisor - The divisor is what we are dividing by.

  • Quotient - The quotient is the result after division has taken place.

Common misconception

Children are unsure as to why, when the dividend and divisor are equal, the quotient is equal to 1

Use physical resources e.g. counters or children to represent both sharing and grouping contexts to help children to visualise the idea before applying to abstract equations.

Each learning cycle explores the idea for different structures of division to show children that 'if the divisor is equal to the dividend, then the quotient will be 1' is true for both grouping and sharing contexts.
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.
0 = 0 × 8 , so ___ ÷ ___ = ___
8 ÷ 0 = 4
Correct answer: 0 ÷ 8 = 0
Q2.
What is the missing dividend? ÷ 9 = 0
Correct Answer: 0, zero
Q3.
Match the equations to the correct answers.
Correct Answer:40 ÷ 5 =,8

8

Correct Answer:50 ÷ 10 = ,5

5

Correct Answer:0 ÷ 9 = ,0

0

Q4.
Lucas wants to share some sweets between 3 people. If we have 0 sweets to share, how many sweets will each person get? Each person will get sweets
Correct Answer: 0, zero
Q5.
If the factors are both 5, what is the product?
5
20
Correct answer: 25
30
Q6.
The dividend is 0 and the divisor is 12 What is the quotient?
10
12
4
Correct answer: 0

6 Questions

Q1.
What is 1 × 3?
0
1
Correct answer: 3
Q2.
Match the equations to their answers.
Correct Answer:1 × 4 =,4

4

Correct Answer:1 × 7 = ,7

7

Correct Answer:8 × 1 = ,8

8

Q3.
5 ÷ 5 is equal to
Correct Answer: 1, one
Q4.
Match the equations to their answers.
Correct Answer:4 ÷ 1 = ,4

4

Correct Answer:9 ÷ 9 = ,1

1

Correct Answer:0 ÷ 8 = ,0

0

Q5.
Read this worded problem. Which equation represents it and will help you to solve it? We are sharing apples equally between 8 people. If we have 8 apples, how many apples will each person get?
Correct answer: 8 ÷ 8 =
8 × 1 =
0 ÷ 8 =
Q6.
Lucas bakes some biscuits. He puts one biscuit on each plate. He has 3 biscuits. How many plates does he need?
1
2
Correct answer: 3