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Understanding Operations Worksheet

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Understanding Operations Worksheet

Understanding Operations Worksheet

Mathematical operations symbols

🔍 Part 1: Identifying Operations

Instructions: Look at each number sentence and circle the operation symbols. Then write what each operation does.

1. Circle the operations in these number sentences:

a) 15 + 8 = 23

b) 42 - 17 = 25

c) 6 × 9 = 54

d) 48 ÷ 8 = 6

2. Match each operation with what it does:
1. Addition (+)
2. Subtraction (-)
3. Multiplication (×)
4. Division (÷)
A. Sharing or grouping equally
B. Combining or putting together
C. Taking away or finding the difference
D. Groups of the same amount

🧮 Part 2: Solving Number Sentences

Instructions: Solve these number sentences. Show your working in the boxes below.

3. Solve these calculations:

a) 27 + 35 = _______

b) 84 - 29 = _______

c) 12 × 7 = _______

d) 96 ÷ 12 = _______

4. Choose the correct operation to complete each sentence:

To find the total of 25 and 18, I need to use:

Addition (+)

Subtraction (-)

Multiplication (×)

Division (÷)

🎯 Part 3: Order of Operations (GEMA)

Remember GEMA: Grouping (brackets), Exponents, Multiplication and Addition/Subtraction (left to right)

5. Solve these using the correct order of operations:

a) 5 + 3 × 4 = _______

b) (8 + 2) × 6 = _______

c) 24 ÷ 4 + 7 = _______

d) 15 - (3 + 2) × 2 = _______

6. Which operation should you do FIRST in each equation? Circle your answer:

a) 6 + 4 × 2

Addition first

Multiplication first

b) (9 - 5) ÷ 2

Subtraction first (in brackets)

Division first

💡 Part 4: Explaining Your Thinking

7. Explain in your own words what each operation does:

Addition: ________________________________________________

Subtraction: ________________________________________________

Multiplication: ________________________________________________

Division: ________________________________________________

8. Why is the order of operations important? Give an example:

🌟 Part 5: Extension Challenge

For advanced learners:

9. Create your own number sentences that equal 20:

Using addition: _______ + _______ = 20

Using subtraction: _______ - _______ = 20

Using multiplication: _______ × _______ = 20

Using division: _______ ÷ _______ = 20

10. Create a number sentence with brackets that equals 30:

( _______ _______ _______ ) _______ _______ = 30

11. Explain why 2 + 3 × 4 gives a different answer than (2 + 3) × 4:

👥 Part 6: Peer Feedback

Instructions: Swap worksheets with a partner and check their work. Use these prompts:

12. Peer feedback checklist (tick when complete):

My partner correctly identified all operations

My partner used the correct order of operations (GEMA)

My partner showed their working clearly

My partner explained their thinking well

13. One thing my partner did really well:
14. One suggestion to help my partner improve:

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