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Order of Operations Practice
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Order of Operations Practice
🎯 WALT: Evaluate expressions using GEMA order of operations
Remember GEMA:
Grouped (brackets) → Exponents (powers & roots) → Multiplicative (×, ÷) → Additive (+, −)
Part 1: Multiple Choice - Choose the correct answer
1. What is the correct first step for: 3 + 2 × 4?
Add 3 + 2 = 5
Multiply 2 × 4 = 8
Add 2 + 4 = 6
2. Calculate: 15 ÷ 3 + 2 × 4
13
40
3
3. What is (-2)³?
-8
8
-6
4. Calculate: √(3² + 4²)
7
5
25
Part 2: Show Your Working - Write each step using GEMA
5. Calculate: 18 − 2 × (3 + 4)
6. Calculate: 5² − 3 × 4 + 8 ÷ 2
7. Calculate: (6 + 2)² ÷ 4 − 3
8. Real-world problem: Sarah buys 3 books at $12 each and pays with a $50 note. Calculate her change using: 50 − 3 × 12
Part 3: Extension & Reflection
9. Extension: Create your own expression that equals 20, using at least brackets, multiplication, and addition.
10. Common Error Analysis: A student calculated 2 + 3 × 4 = 20. Explain their mistake and show the correct calculation.
11. Reflection: Why is it important that everyone follows the same order of operations in mathematics?
Success Criteria Checklist:
I can use GEMA to evaluate expressions step-by-step
I can identify and correct order of operations errors
I can work with exponents and square roots correctly
I can apply order of operations to real-world problems
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