Multiply a 2-digit number by a 1-digit number using partitioning and representations (one regroup) | Maths

Starter quiz

The number 17 can be partitioned into 1 ten and ______ ones.

'7' ✓
The number 59 can be partitioned into ______ tens and 9 ones.

'5' ✓
The answer when two or more values are multiplied together is called a ______ .

product ✓

factor

sum

answer
Look at the image. What is the name given to the numbers shown by the arrows?

products

sum

factors ✓
Select the array which shows 3 x 4

Pic 1

Pic 2 ✓

Pic 3
Look at the array. What does it represent?

8 x 3 ✓

7 x 3

3 x 7

3 x 9

Which array shows 3 × 18?

pic 1 ✓

pic 2

pic 3

pic 4
Which grid represents the multiplication fact 25 × 4?

pic 1

pic 2 ✓

pic 3
Which multiplication is represented by this grid model?

23 × 7

207 × 3

27 × 3 ✓

7 × 203
Match the question with the amount of regrouping.

21 × 3

⇔

no regrouping ✓

23 × 4

⇔

regrouping in ones ✓

63 × 2

⇔

regrouping in tens ✓
Select the correct multiplication equation for the following word problem: Lucas is preparing party packs. He has 8 packets of 32 pens. How many pens does he have altogether?

32 + 8

32 × 8 ✓

8 + 32

8 × 30
Lucas is preparing for a party, he needs a box of sweets which has more than 120 sweets but less than 160. Which box should he choose?

7 x 21 ✓

27 × 23

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Partitioning allows us to multiply the tens and then the ones and recombine the products.
The grid can represent the array.
Multiply the ones and tens separately and recombine.

Pupils may not regroup correctly if they do not understand the place value of digits in a factor.

Encourage pupils to use the stem sentences / array to identify when they may need to regroup.

Array - An array is the layout of items (such as objects, numbers, etc.) arranged in rows and/or columns.
Product - The result of two or more values multiplied together.
Regroup - The process of unitising and exchanging between place values is known as regrouping.