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Order of Operations

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Order of Operations

Order of Operations - Te Raupapa Whakahaere

Ingoa (Name):

Rā (Date):

Order of operations illustration

🧮 Part 1: GEMA Practice

Remember GEMA: Grouping (Whakakotahitanga), Exponents (Tauwehenga), Multiplication/Division (Whakaranu/Wehewehe), Addition/Subtraction (Tāpiri/Tango)

1. Solve using the order of operations: 3 + 4 × 2

2. Solve using the order of operations: (6 + 2) × 3

3. Solve using the order of operations: 12 ÷ (3 + 1) + 5

4. Solve using the order of operations: 15 - 2 × 3 + 4

🎯 Part 2: Multiple Choice

5. What is the first step when solving: 8 + (5 - 2) × 3?

Add 8 + 5

Solve (5 - 2) first

Multiply 2 × 3

Start from left to right

6. Which answer is correct for: 20 ÷ 4 + 3 × 2?

11

14

26

8

📝 Part 3: Word Problems

7. At the school hangi, there are 4 groups of students. Each group has 6 students, and 8 more students join later. How many students are there in total? Write the equation and solve.

Equation: _________________

8. Mere buys 3 packets of biscuits for $2 each, plus a drink for $3. She pays with a $20 note. How much change does she get? Write the equation and solve.

Equation: _________________

🔢 Part 4: Fill in the Blanks

9. Complete the order of operations for: 18 ÷ (2 + 1) × 4

Step 1: Solve _______ first = _____

Step 2: Then _______ ÷ _____ = _____

Step 3: Finally _____ × _____ = _____

10. Insert brackets to make this equation correct: 5 + 3 × 2 = 16

Answer: _________________

🎨 Part 5: Create Your Own

11. Create your own order of operations problem that equals 24. Include at least one set of brackets.

12. Explain in your own words (in English or te reo Māori) why we need to follow the order of operations.

🏆 Part 6: Challenge Problems

13. Solve: (15 - 3) ÷ 4 + 2 × 5

14. Solve: 100 - (8 + 2) × 9 + 15 ÷ 3

15. True or False: Check all statements that are correct.

Brackets are always solved first

Addition comes before multiplication

Division and multiplication have equal priority

GEMA helps us remember the correct order

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