Year 3 Understand additive relationships and apply them to rearrange equations worksheet

“Rearranging addition equations” is free to print, with no account. It is the first sheet in the Year 3 maths unit “Understand additive relationships and apply them to rearrange equations”, for children aged 7 to 8, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 16 to 18 of the year, 10 sheets in the unit.

Free sample · answers on the last page

Rearranging addition equations

Name: ____________ · Date: ____________
Year 3 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can rearrange an addition bar model into four equations, with the sum first or last.

A Look back3 min

1.
40 + 10 =
2.
200 + 100 =
3.
60 + = 100

B Watch me, then you4 min

Watch me

14 and 9 are the addends. 23 is the sum.

14 + 9 = 23, and 9 + 14 = 23 too.

Put the sum first: 23 = 14 + 9, and 23 = 9 + 14.

Now you

1.
A bar model has parts 17 and 19 and a whole of 36. Which equation is true? Circle your answer.
36 = 19 + 1719 = 36 + 1736 + 17 = 1917 − 19 = 36

C Your turn6 min

1.
16 = 9 +
2.
16 = + 7
3.
= 9 + 7
4.
160 = 90 +

Say it out loud: What stayed the same in every row, and what changed?

D Spot the mistake3 min

Kit says: “25 = 10 + 15 is wrong, because the answer must come after the equals sign.”

1.
What does 10 + 15 make? Then tell a grown-up whether Kit is right.

E Think deeper3 min

1.
Alex draws a bar model with a whole of 32. Write two addends that make 32, then write all four equations.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Rearranging addition equations · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 50

2. 300

3. 40

B

1. 36 = 19 + 17

C

1. 7 If your child writes 25, they added 9 and 16. Ask which number is the whole. The whole is 16, so 9 must be taken away from it.

2. 9 If your child writes 23, they added 16 and 7. The sum 16 is the whole, so the missing part must be smaller than 16. Try covering the 7 and see what is left.

3. 16

4. 70 If your child writes 250, they added 160 and 90. The whole is 160, so the other part is what is left after taking 90 away.

D

1. 25 Count on 15 from 10 together. Both sides then make the same number, so the equation is true and Kit is wrong. The sum can go first.

E

1. Look for: Two addends that add to 32, then four equations: two with the addends first and two with 32 first.

Words to use

Say“Which number is the whole, and which numbers are the parts?”

Instead of“Just tell them the answer is the number after the equals sign.”

After the sheet

Use 3 small toys. Make a group of 2 and a group of 1, then say the total both ways: 2 + 1 = 3 and 3 = 2 + 1.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

9 more sheets come with a StudyDen plan, in teaching order:

Four equations from one bar(with a plan)
Addition and subtraction link(with a plan)
Finding the missing part(with a plan)
Part or whole?(with a plan)
Finding the missing number(with a plan)
Chart puzzles(with a plan)
Reordering the steps(with a plan)
Quickest Order Sums(with a plan)
Missing numbers and two-step puzzles(with a plan)

Every Year 3 maths worksheet

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