Represent equal groups as repeated addition and multiplication | Maths

Starter quiz

Which bar model shows the correct grouping for the groups of pencils?
Which is the correct expression for the groups of sweets shown here?

4 + 4 + 4 + 4 ✓

3 + 3 + 3 + 3

4 + 4 + 4 + 4 + 4
Which is the correct expression for the groups of milkshakes shown here?

6 + 3 + 6

3 + 3 + 3 + 3 + 3 + 3

6 + 6 ✓

3 + 3 + 3 + 3
Which of these show the expression 3 + 3 + 3
Match the repeated addition expression to the groups.

3 groups of 3

⇔

3 + 3 + 3 ✓

4 groups of 3

⇔

3 + 3 + 3 + 3 ✓

5 groups of 3

⇔

3 + 3 + 3 + 3 + 3 ✓

6 groups of 3

⇔

3 + 3 + 3 + 3 + 3 + 3 ✓
Select the repeated addition expressions which could be represented by this collection of sandwiches.

4 + 4 + 4 + 4 ✓

4 + 4 + 4

8 + 8 ✓

2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 ✓

3 + 4

Exit quiz

Look at the image which shows groups of cake pops. What multiplication could this image represent?

6 × 3 ✓

2 × 6

6 × 6

3 × 3
Look at the image which shows 3 groups of 5 pencils. Which set of expressions complete the sentence? That is the same as ___ × ___ or ___ + ___

3 + 3 + 3 or 3 × 3

5 + 5 + 5 or 3 × 5 ✓

3 + 3 + 3 + 3 + 3 or 5 × 3
There are 4 equal groups of 3 lollipops. Select the correct multiplication expression for this story.

4 × 3 ✓

3 × 3

2 × 3

1 × 3
Select the correct multiplication and addition expression.

4 × 2 = 2 + 2 + 2 + 2 ✓

5 × 2 = 2 + 2 + 2 + 2 + 2

2 × 5 = 5 + 5

4 × 3 = 3 + 3 + 3 + 3
Match the multiplication expression and addition and expression.

2 × 2

⇔

2 + 2 ✓

3 × 2

⇔

2 + 2 + 2 ✓

4 × 2

⇔

2 + 2 + 2 + 2 ✓

5 × 2

⇔

2 + 2 + 2 + 2 + 2 ✓
Look at the image which shows some groups. How would you change 2 × 6 to show 2 × 5?

Remove 6 bundles of sweets.

Add 6 bundles of sweets.

Remove 2 bundles of sweets, or 1 bundle from each group. ✓

Add 2 bundles of 6 sweets.

Worksheet

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Lesson Details

Key learning points

Repeated addition can be written as a multiplication.
The x symbol represents times.
3 groups of 5 can be represented as 5 + 5 + 5 or as 3 x 5
3 represents the number of groups and 5 represents the number in each group.

Common misconception

Pupils may not understand how to represent the repeated addition expression and a multiplication expression.

Encourage pupils to identify exactly how the equation relates to the image: with the questions ‘What does the 3 represent?’ ‘What does the 2 represent?’ ‘What does the 6 represent?’

Keywords

Multiplication - The basic idea of multiplication is repeated addition, adding a number to itself multiple times. The result of a multiplication is a product.
Groups / grouping - A set of things with an identity.