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GEMA Order Operations

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GEMA Order of Operations - Level 2

GEMA order of operations illustration

📚 Part 1: Understanding GEMA

Remember GEMA:

Grouped (brackets first) → Exponents (powers) → Multiplicative (× and ÷) → Additive (+ and −)

Instructions: Show your working step by step. Use only ONE equals sign per line.

1. Solve: 3 + 2 × 4

First, I solve the _____________ operation because _____________

2 × 4 = _____

Next, I solve: 3 + _____ = _____

2. Solve: (5 + 3) × 2

First, I solve the _____________ (grouped) part because _____________

(5 + 3) = _____

Next, I solve: _____ × 2 = _____

3. Solve: 2³ + 4

First, I solve the _____________ because _____________

2³ = _____

Next, I solve: _____ + 4 = _____

✏️ Part 2: Guided Practice

4. Solve: 12 ÷ 3 + 2 × 5

Circle the operations you need to do first (Multiplicative operations):

12 ÷ 3 + 2 × 5

5. Solve: (8 − 3) × 2²

Use colours to highlight each GEMA step, then solve:

6. Solve: 20 − 4 × 3 + 1

Show all your working steps:

🎯 Part 3: Check Your Understanding

7. Which operation should you do FIRST in this expression: 6 + 2 × (4 + 1)?

6 + 2

4 + 1

2 × something

8. Complete this expression step by step: 3 × (2 + 4)² − 5
9. Explain in your own words why we need to follow the order of operations:

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