New
New
Year 5

# Multiply a 2-digit number by a 1-digit number using expanded multiplication (no regroups)

I can represent partitioning in a column method for expanded multiplication.

New
New
Year 5

# Multiply a 2-digit number by a 1-digit number using expanded multiplication (no regroups)

I can represent partitioning in a column method for expanded multiplication.

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## Slide deck

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## Lesson details

### Key learning points

1. Knowledge of times tables and place value helps when multiplying 2-digit numbers.
2. There are similarities between the representations of multiplication.
3. Arranging the factors in columns allows you to organise the partial products into a column addition.

### Common misconception

When using the expanded method, pupils may not align the digits correctly with the same place value.

Use clear teacher modelling and continue to ask what each digit that has been recorded represents and link back to the place value chart.

### Keywords

• Expanded multiplication - A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.

• Partial product - Any of the multiplication results that lead up to an overall multiplication result.

When modelling expanded multiplication, encourage children to use the stem sentences when laying out their equations.
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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## Worksheet

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## Starter quiz

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### 6 Questions

Q1.
Look at the multiplication equation. You can partition 17 into 10 and .
Correct Answer: 7, seven
Q2.
Look at the image. Complete the equation.
Correct Answer: 68, sixty eight, sixty-eight
Q3.
Select the correct partial product pair that completes the model in the image.
10 + 80
Correct answer: 80 + 10
8 + 10
10 + 8
Q4.
Select the correct partial product sums for this multiplication equation: 35 × 3
90 + 10 + 5
15 + 45 + 45
9 + 15
Correct answer: 90 + 15
Q5.
Match the multiplication equation with the correct partial product pair.
Correct Answer:41 × 2,80 + 2

80 + 2

Correct Answer:2 × 43,80 + 6

80 + 6

Correct Answer:44 × 2,80 + 8

80 + 8

Q6.
Which multiplication equations consist of zero regroups?
Correct answer: 33 × 3
34 × 4
4 × 47
Correct answer: 4 × 21

## Exit quiz

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### 6 Questions

Q1.
Sophia is chanting her 4 times tables. 4, 8, 12, What comes next?
14
Correct answer: 16
18
20
Q2.
Look at the image. Which word is the correct label?
factor
product
Correct answer: partial product
addends
Q3.
Look at the image and the missing label. In a multiplication equation this number is known as the .
Correct Answer: product, Product
Q4.
Using short multiplication calculate: 23 × 3
Correct Answer: 69, sixty nine, Sixty nine, Sixty-nine
Q5.
Using short multiplication calculate: 43 × 2
Correct Answer: 86, eighty six, Eighty-six, eighty-six
Q6.
What is the missing factor in this expanded multiplication example?
Correct Answer: 21, 2 and 1, 2 1 , Twenty one, Twenty-one