New
New
Year 5

Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders)

I can divide a 3-digit by a 1-digit number using partitioning and representations (no remainders).

New
New
Year 5

Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders)

I can divide a 3-digit by a 1-digit number using partitioning and representations (no remainders).

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Lesson details

Key learning points

  1. Partitioning the dividend into hundreds, tens and ones helps when dividing a 3-digit by a 1-digit number.
  2. Use times tables and unitising to divide the hundreds, tens and ones by the divisor.
  3. Place value resources can represent the division.

Common misconception

Lack of understanding of place value may lead to the rise of incorrect partial quotients.

Encourage children to identify what each digit represents. If misconceptions persist - use place value counters to divide by skip counting.

Keywords

  • Dividend - The dividend is the amount that you want to divide.

  • Divisor - A divisor is the number we divide by.

  • Partial quotient - A partial quotient is seen when the dividend is partitioned.

  • Partition - Partition means splitting an object or value down into smaller parts.

  • Quotient - A quotient is the result after division has taken place. It is the whole number part.

Now that pupils are moving onto a 3-digit divided by a 1-digit number, continue to focus on using skip counting to build multiplicative reasoning. Encourage children to rehearse the stem sentences after you.
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).

Video

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6 Questions

Q1.
Identify the multiples of 9
Correct answer: 9
Correct answer: 18
26
35
Correct answer: 63
Q2.
Izzy is working out: 84 ÷ 4. She can skip count in ___s.
3
Correct answer: 4
5
Q3.
Fill in the gap. Write your answer in numeral form.
An image in a quiz
Correct Answer: 22
Q4.
Which partitioning of 56 shown would be most efficient to solve: 56 ÷ 4?
An image in a quiz
A
Correct answer: B
C
Q5.
Use the partitioning strategy to solve: 42 ÷ 3. Write your answer in numeral form.
Correct Answer: 14
Q6.
Use the partitioning strategy to solve this question: A square has a total perimeter of 80 cm. What is the length of one side ? Write your answer in numeral form.
An image in a quiz
Correct Answer: 20 , 20 cm, 20cm

6 Questions

Q1.
Identify the multiples of 6.
Correct answer: 6
13
Correct answer: 24
Correct answer: 84
106
Q2.
Izzy is working out: 669 ÷ 3. She can skip count in s.
2
Correct answer: 3
4
Q3.
Fill in the gap in this layout for division.
An image in a quiz
Correct Answer: 334
Q4.
Which partitioning would be most efficient to solve: 848 ÷ 4?
An image in a quiz
A
Correct answer: B
C
Q5.
Use the partitioning strategy to solve: 636 ÷ 3
Correct Answer: 212, Two hundred and twelve, two hundred and twelve
Q6.
A square has a total perimeter of 884 cm. What is the length of one side?
An image in a quiz
Correct Answer: 221

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