New
New
Year 5

Use efficient division strategies to solve problems

I can use a range of strategies to solve division problems

New
New
Year 5

Use efficient division strategies to solve problems

I can use a range of strategies to solve division problems

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Lesson details

Key learning points

  1. Look at the dividend and divisor to decide which strategy is most effective and explain why.
  2. Use partitioning if the dividend can be partitioned into multiples of the divisor.
  3. Use short division if the dividend cannot be partitioned into multiples of the divisor.

Common misconception

Pupils may always choose short division to solve division equations.

Encourage pupils to think about other strategies that they know. Ask questions such as 'Is this the most efficient method?'

Keywords

  • Short division - Is a formal method of division often used when dividing any number by a one digit number.

  • Partition - Partition means splitting a number into smaller parts.

A quick recap of strategies for division at the beginning of the lesson will be helpful. It is important that pupils understand that there may not always be one best approach. Encourage debate as to why one method may be more efficient than another.
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 4.
Correct answer: 4
Correct answer: 12
25
Correct answer: 28
Correct answer: 32
Q2.
4 hundreds can be regrouped for tens.
An image in a quiz
400
Correct answer: 40
4
Q3.
Your divisor is 4, which numbers will result in regrouping?
An image in a quiz
A
Correct answer: B
Correct answer: C
Q4.
Choose the correct short division for this equation: 633 ÷ 8.
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q5.
If the partial quotient written above the 100s digit is a 0 then the divisor is __________ than the 100s digit in the dividend.
An image in a quiz
less than
Correct answer: greater than
Q6.
Look at the short division, what is the missing number? Write your answer in numeral form.
An image in a quiz
Correct Answer: 7

6 Questions

Q1.
Identify the number which is not a multiple of 11.
11
22
33
Correct answer: 34
132
Q2.
Look at the diagram, choose the correct division equation which the image could represent.
An image in a quiz
1 ÷ 2
Correct answer: 2 ÷ 2
2 ÷ 1
4 ÷ 2
Q3.
Look at the diagram, choose the correct division equation.
An image in a quiz
8 ÷ 0
Correct answer: 8 ÷ 1
8 ÷ 8
8 ÷ 4
Q4.
Use a mental strategy to solve: 516 ÷ 5 = Write your answer in numeral form using r if there is a remainder.
Correct Answer: 103 r 1, 103r1, 103 r1, 103r 1
Q5.
Choose an efficient strategy to solve: 638 ÷ 9 = Write your answer in numeral form using r if there is a remainder.
Correct Answer: 70 r 8, 70r 8, 70r8, 70 r8
Q6.
Choose an efficient strategy to solve this word problem: 841 cookies are packed in boxes of 6. How many boxes are needed to pack all of the cookies?
Correct Answer: 141, 140r 1, 140r1, 140 r1