📚 Part 1: Order of Operations Practice

Remember PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)

Answer: 8 + 3 × 2 = 8 + 6 = 14

Answer: (6 + 4) ÷ 2 = 10 ÷ 2 = 5

Answer: 2³ - 5 + 1 = 8 - 5 + 1 = 3 + 1 = 4

Answer: 15 - 3 × 2 + 4 = 15 - 6 + 4 = 9 + 4 = 13

Answer: Addition inside parentheses (3 + 1) should be performed first.

🧮 Part 2: Complex Expressions

Instructions: Show ALL your work step-by-step. Circle each operation as you complete it.

Answer: 3 × (4 + 2)² ÷ 3 - 5 = 3 × 6² ÷ 3 - 5 = 3 × 36 ÷ 3 - 5 = 108 ÷ 3 - 5 = 36 - 5 = 31

Answer: 20 - (8 - 3) × 2 + 1² = 20 - 5 × 2 + 1 = 20 - 10 + 1 = 10 + 1 = 11

Answer: 2 × [15 - (3 + 2) × 2] + 4 = 2 × [15 - 5 × 2] + 4 = 2 × [15 - 10] + 4 = 2 × 5 + 4 = 10 + 4 = 14

My expression: ________________________________

✏️ Part 3: Explain Your Thinking

Answer: The student did not follow the order of operations. The correct solution is 6 + 2 × 3 = 6 + 6 = 12.

Answer: Following the order of operations ensures that everyone solves mathematical expressions the same way, leading to consistent and correct results.