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
- 3-digit numbers can be partitioned into hundreds, tens and ones.
- Calculate partial products by finding the product for the hundreds, tens and ones.
- 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).
Video
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Starter quiz
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6 Questions
Q1.
Select the multiples of 9
24
6
35
Q2.
What comes next in the sequence? 36, 33, 30,
Q3.
Fill in the gap:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133852%2Fidyke8s2lggmmylxyn1k.png&w=640&q=75)
Q4.
Which representations shows 2 × 322
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133854%2Fgbp2eyknuebwl9qe7gyz.png&w=384&q=75)
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133853%2Fwfyepsnkivjij6qqwtss.png&w=256&q=75)
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133854%2Fez6hyj8rnqhacoyvkp6u.png&w=640&q=75)
Q5.
Which grid model shows 3 × 14
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133855%2Fl6xm6nnvozdfauadrkdp.png&w=640&q=75)
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133856%2Foathf3xr7jknky7fscke.png&w=640&q=75)
Q6.
Use any informal method to calculate 32 x 3.
Exit quiz
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6 Questions
Q1.
What is the missing multiple: "24, 32, 40, , 56, 64
Q2.
The numbers highlighted in purple are known as:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133848%2Fai5nw6pixwdyuuk4elxu.png&w=750&q=75)
addends
products
sum
Q3.
365 is made of 3 hundreds tens and 5 ones.
Q4.
Select the correct grid model for: 4 x 243
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133848%2Ficjxhu7kdv7zhvdg6jf2.png&w=640&q=75)
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133849%2Fhzxyvzutjbl0fy7dgme0.png&w=640&q=75)
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133849%2Fw1uoxlclv6v9gmffpwez.png&w=640&q=75)
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133849%2Fnh9sdyu1cevz23xjjogj.png&w=640&q=75)
Q5.
Choose the correct partial product expression.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1700133849%2Ftrfuzkv1qdexfhbizg5t.png&w=1080&q=75)
6+9+6
60+90+60
600+6+9
Q6.
Using an informal method solve this question: Three apples weigh 121 g each. What is the total mass?