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Year 5

Multiply a 2-digit number by a 1-digit number using partitioning

I can use partitioning to organise multiplication.

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New
New
Year 5

Multiply a 2-digit number by a 1-digit number using partitioning

I can use partitioning to organise multiplication.

Download all resources
arrow-right
Share activities with pupils
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Lesson details

Key learning points

  1. When you partition and multiply the ones and then the tens you get partial products.
  2. When you add the partial products you calculate the overall product.
  3. Partitioning helps you to organise multiplication.

Keywords

  • Partial product - Any of the multiplication results we get leading up to an overall multiplication result.

Common misconception

Pupils may not record partitioned factors as tens and ones leading to incorrect calculation.

Encourage pupils to use the stem sentences to support their thinking. Use the language of ___ tens to support place value.

As pupils learn additional strategies and layouts for multiplication encourage them to begin to think about which is more appropriate and efficient in different situations.
Teacher tip

Content guidance

  • Risk assessment required - equipment

Supervision

Adult supervision required

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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Starter quiz

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6 Questions

Q1.
Match the key words with the correct definitions.
Correct Answer:Factor,Numbers we can multiply together to get another number.

Numbers we can multiply together to get another number.

Correct Answer:Product,The answer when two or more values are multiplied together.

The answer when two or more values are multiplied together.

Correct Answer:Regrouping,Moving an amount (usually 10) from one part of a calculation

Moving an amount (usually 10) from one part of a calculation

Q2.
37 can be partitioned into tens and 7 ones
Correct Answer: 3, three, Three
Q3.
79 can be partitioned into 7 tens and ones
Correct Answer: 9, nine, Nine
Q4.
Find the product.
An image in a quiz
Correct Answer: 36, thirty six, Thirty six, Thirty-six
Q5.
Which grid represents the multiplication equation 37 × 3
picture 1
picture 2
Correct answer: picture 3
picture 4
Q6.
True or false: you only need to regroup once when calculating 44 × 3.
True
Correct answer: False

Exit quiz

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6 Questions

Q1.
Look at the image. What is the name given to the purple values marked with a question mark?
An image in a quiz
factors
products
Correct answer: partial products
Q2.
Select the correct partial product sums for this multiplication: 14 × 4
40 + 2 + 2
Correct answer: 40 + 16
4 + 16
16 + 20 + 20
Q3.
Select the correct partial products for 5 × 47
Correct answer: 200 + 35
100 + 100 + 35
200 + 30 + 5
20 + 180 + 35
Q4.
Match the multiplication equation with the correct partial product pair.
Correct Answer:26 × 4,80 + 24

80 + 24

Correct Answer:6 × 24,120 + 24

120 + 24

Correct Answer:54 × 4,200 + 16

200 + 16

Q5.
Choose the correct grid model which represents this informal method.
An image in a quiz
pic 1
pic 2
pic 3
Correct answer: pic 4
Q6.
Select the correct informal method for the following question: Biscuits cost 27 p each. What is the total of 4 biscuits?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz

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