New
New
Year 5

Multiply a 3-digit by a 1-digit number using partitioning

I can multiply a 3-digit by a 1-digit number using partitioning.

New
New
Year 5

Multiply a 3-digit by a 1-digit number using partitioning

I can multiply a 3-digit by a 1-digit number using partitioning.

Lesson details

Key learning points

  1. 3-digit numbers can be partitioned into hundreds, tens and ones.
  2. Calculate partial products by finding the product for the hundreds, tens and ones.
  3. Addition can be used to calculate the overall product.

Common misconception

Pupils may partition numbers incorrectly and arrange grid model incorrectly.

Clear teacher modelling, ask pupils 'what does this digit represent?'

Keywords

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

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

Continue to use language of unitisation: ‘5 multiplied by 2 ones is 10 ones.’ Model using base 10 blocks to represent the structure.
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).

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6 Questions

Q1.
Select the multiples of 9
24
Correct answer: 9
6
Correct answer: 18
35
Q2.
What comes next in the sequence? 36, 33, 30,
Correct Answer: 27, twenty seven, Twenty-seven
Q3.
Fill in the gap:
An image in a quiz
Correct Answer: 400, 4 hundred, 4 Hundred
Q4.
Which representations shows 2 × 322
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q5.
Which grid model shows 3 × 14
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q6.
Use any informal method to calculate 32 x 3.
Correct Answer: 96, ninety six, ninety-six, Ninety-Six

6 Questions

Q1.
What is the missing multiple: "24, 32, 40, , 56, 64
Correct Answer: 48, forty eight, forty-eight
Q2.
The numbers highlighted in purple are known as:
An image in a quiz
addends
products
Correct answer: partial products
sum
Q3.
365 is made of 3 hundreds tens and 5 ones.
Correct Answer: 6, six, Six
Q4.
Select the correct grid model for: 4 x 243
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q5.
Choose the correct partial product expression.
An image in a quiz
6+9+6
60+90+60
Correct answer: 600+90+6
600+6+9
Q6.
Using an informal method solve this question: Three apples weigh 121 g each. What is the total mass?
Correct Answer: 363, three hundred and sixty three, Three hundred and sixty three, Three hundred and sixty-three