🎯 WALT: We Are Learning To

Evaluate expressions with integers using the order of operations correctly.

Remember GEMA:

G = Grouped (parentheses) → E = Exponents (powers) → M = Multiplicative (× and ÷) → A = Additive (+ and −)

📚 Part 1: Basic GEMA Practice

1. Evaluate: 5 + 3 × 2

2. Evaluate: 20 − 4 × 3 + 1

3. Evaluate: 15 ÷ 3 + 2 × 4

4. Evaluate: (6 + 4) × 2 − 3

5. Evaluate: 18 ÷ (2 + 1) + 5

🔢 Part 2: Working with Negative Integers

6. Evaluate: −3 + 5 × 2

7. Evaluate: (−4 + 1) × 6 ÷ 2

8. Evaluate: 12 − (−3 + 5) × 2

🚀 Part 3: Challenge Problems

9. Extension: Evaluate: 2³ + (4 − 1) × 5

10. Challenge: Evaluate: [(8 + 2) ÷ 2] × 3 − 4²

Bonus Extension Activity: Create your own GEMA expression using at least 3 different operations. Show your working and answer below:

✅ Answer Key

1. 5 + 3 × 2 = 5 + 6 = 11

2. 20 − 4 × 3 + 1 = 20 − 12 + 1 = 9

3. 15 ÷ 3 + 2 × 4 = 5 + 8 = 13

4. (6 + 4) × 2 − 3 = 10 × 2 − 3 = 20 − 3 = 17

5. 18 ÷ (2 + 1) + 5 = 18 ÷ 3 + 5 = 6 + 5 = 11

6. −3 + 5 × 2 = −3 + 10 = 7

7. (−4 + 1) × 6 ÷ 2 = (−3) × 6 ÷ 2 = −18 ÷ 2 = −9

8. 12 − (−3 + 5) × 2 = 12 − (2) × 2 = 12 − 4 = 8

9. 2³ + (4 − 1) × 5 = 8 + 3 × 5 = 8 + 15 = 23

10. [(8 + 2) ÷ 2] × 3 − 4² = [10 ÷ 2] × 3 − 16 = 5 × 3 − 16 = 15 − 16 = −1

GEMA Order Operations

GEMA Order of Operations

🎯 WALT: We Are Learning To

Remember GEMA:

📚 Part 1: Basic GEMA Practice

🔢 Part 2: Working with Negative Integers

🚀 Part 3: Challenge Problems

✅ Answer Key

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