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GEMA Order Operations

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GEMA Order Operations

GEMA Order of Operations

Mathematical operations illustration

🧠 Part 1: Understanding GEMA

1. What does the GEMA mnemonic stand for? Fill in the blanks:

G = _________________ (brackets)

E = _________________

M = _________________ (multiplication and division)

A = _________________ (addition and subtraction)

2. Circle the operation you would do FIRST in each expression:

Expression: 5 + 3 × 2

Addition (+)

Multiplication (×)

Expression: (8 - 3) × 4

Subtraction (-)

Multiplication (×)

🔢 Part 2: Step-by-Step Solutions

3. Solve the following expressions using GEMA. Show each step clearly:

a) 6 + 4 × 3 = ?

b) (5 + 3) × 2 = ?

c) 2³ + 4 × 3 = ?

d) 20 ÷ 4 + 3 × 2 = ?

🍰 Part 3: Real-Life Baking Problem

4. Sarah is doubling a baking recipe. The original recipe calls for (2 + 3) cups of flour, then multiply by 2 for a double batch. Write the mathematical expression and solve it:

Mathematical expression: ________________________

5. Check all the steps you need to follow when using GEMA (multiple selection):

Do operations inside brackets first

Calculate exponents before multiplication

Do addition before multiplication

Work from left to right for same-level operations

Do multiplication and division before addition and subtraction

🎯 Part 4: Challenge Problems

6. Solve these more complex expressions:

a) 3 × (4 + 2) - 5 = ?

b) 2⁴ ÷ 4 + 3 × (6 - 4) = ?

7. Error Analysis: Jamie solved 5 + 3 × 2 and got 16. Explain what Jamie did wrong and show the correct solution:

🔄 Part 5: Match the Expression to the Answer

8. Match each expression with its correct answer using GEMA:
1. 8 + 2 × 3
2. (8 + 2) × 3
3. 2³ + 4
4. 15 ÷ 3 + 2
A. 30
B. 14
C. 12
D. 7

💭 Part 6: Reflection

9. Create your own expression using at least three different operations. Then solve it step by step:

My expression: ________________________

10. Explain in your own words why following the order of operations (GEMA) is important in mathematics:

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