Explain that the addends can be added in any order | Maths

Starter quiz

Look at each expression and match it to the correct description.

3 + 6

⇔

less than 10 ✓

7 + 3

⇔

equal to 10 ✓

6 + 6

⇔

greater than 10 ✓
Match the addition expressions that are equal to each other.

2 + 5

⇔

5 + 2 ✓

7 + 4

⇔

4 + 7 ✓

1 + 8

⇔

8 + 1 ✓

10 + 3

⇔

3 + 10 ✓
Which of the equations could not represent this ten frame?

4 + 2 = 6

6 = 2 + 4

6 - 4 = 2

6 = 4 - 2 ✓
Look at this ten frame. Altogether there are 9 counters. The addends are 2, 4 and ______

'3' ✓
Match each number to the correct part of the model.

1

⇔

addend ✓

8

⇔

sum of the addends ✓

3

⇔

addend ✓

4

⇔

addend ✓
Which equation is shown on this number line?

3 + 5 + 6 = 14

3 + 2 + 1 = 6 ✓

3 + 5 + 1 = 6

Exit quiz

We can add numbers in any order. We say that addition is __________

equal

subtraction

commutative ✓
If you begin by adding the first two addends together, what would your calculation now be?

1 + 8 = 9

6 + 3 = 9 ✓

4 + 5 = 9
Match the steps the three different children took to find the number of pieces of fruit altogether.

First, add together 5 and 2,

⇔

which is equal to 7, then add 3 ✓

First, add together 2 and 3,

⇔

which is equal to 5, then add 5 ✓

First, add together 5 and 3,

⇔

which is equal to 8, then add 2 ✓
Laura has been adding three addends by combining different pairs. Match each starting expression to her new equation.

3 + 4 + 2

⇔

7 + 2 = 9 ✓

6 + 2 + 1

⇔

6 + 3 = 9 ✓

2 + 3 + 5

⇔

5 + 5 = 10 ✓
Which equations represent the part-part-whole model?

1 + 3 + 5 = 9 ✓

9 = 3 + 1 + 5 ✓

9 + 3 + 1 = 5

5 + 3 + 1 = 9 ✓
Which expressions are equal?

2 + 3 + 4

⇔

4 + 3 + 2 ✓

1 + 4 + 3

⇔

4 + 1 + 3 ✓

3 + 4 + 3

⇔

3 + 3 + 4 ✓

Worksheet

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Lesson Details

Key learning points

When we add three numbers, the sum will be the same whichever pair of addends we add first.
The order of the addends can change and the sum will stay the same.

Common misconception

Children may not understand that either pair of addends can be added first and the sum will remain the same.

Use concrete materials to represent the addends for children to explore, discussing what is the same (the addends) and what is different (the pair being added first).

Keywords

Addends - Any numbers that are added together.
Efficient - Not wasting time or effort. An efficient strategy is one we can carry out easily.
Strategy - A plan or method to achieve a specific goal.