📚 Part 1: BEDMAS Knowledge Check

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

B = Brackets E = Exponents D = Division

M = Multiplication A = Addition S = Subtraction

2. Which operation should be performed first in the expression: 5 + 3 × 2²?

Addition (5 + 3)

Multiplication (3 × 2)

Exponent (2²)

Correct Answer: Exponent (2²) - Exponents are calculated before multiplication and addition.

3. What is the correct answer for: 8 + 3 × 2?

22

14

11

Correct Answer: 14 - First, multiply 3 × 2 = 6, then add 8 + 6 = 14.

✏️ Part 2: Solve Using BEDMAS

4. Solve: (4 + 6) × 3

Answer: 30 (First, calculate inside the brackets: 4 + 6 = 10, then multiply: 10 × 3 = 30)

5. Solve: 2³ + 5 × 3

Answer: 29 (First, calculate the exponent: 2³ = 8, then multiply: 5 × 3 = 15, finally add: 8 + 15 = 23)

6. Solve: 24 ÷ 6 + 2 × (7 - 4)

Answer: 10 (First, calculate inside the brackets: 7 - 4 = 3, then multiply: 2 × 3 = 6, divide: 24 ÷ 6 = 4, finally add: 4 + 6 = 10)

7. Solve: (3² + 1) × 2 - 8 ÷ 4

Answer: 12 (First, calculate the exponent: 3² = 9, then add: 9 + 1 = 10, multiply: 10 × 2 = 20, divide: 8 ÷ 4 = 2, finally subtract: 20 - 2 = 18)

8. Solve: 5 + (3 × 2) - 4

Answer: 9 (First, multiply: 3 × 2 = 6, then add: 5 + 6 = 11, finally subtract: 11 - 4 = 7)

9. Solve: (2 + 3)² - 4 × 3

Answer: 1 (First, calculate inside the brackets: 2 + 3 = 5, then square: 5² = 25, multiply: 4 × 3 = 12, finally subtract: 25 - 12 = 13)

10. Solve: 10 - (2 + 3) × 2 + 6

Answer: 3 (First, calculate inside the brackets: 2 + 3 = 5, then multiply: 5 × 2 = 10, subtract: 10 - 10 = 0, finally add: 0 + 6 = 6)

11. Solve: (8 ÷ 2) + 3² - (4 - 1)

Answer: 10 (First, divide: 8 ÷ 2 = 4, then calculate the exponent: 3² = 9, calculate inside the brackets: 4 - 1 = 3, finally: 4 + 9 - 3 = 10)

🌟 Part 3: Algebraic Expressions & Extension

12. Evaluate 3(x + 2) - 5 when x = 4

Answer: 7 (Substituting x = 4: 3(4 + 2) - 5 = 3(6) - 5 = 18 - 5 = 13)

13. Evaluate 2y² + 3y - 1 when y = 3

Answer: 26 (Substituting y = 3: 2(3)² + 3(3) - 1 = 2(9) + 9 - 1 = 18 + 9 - 1 = 26)

14. Challenge: Create your own expression using all BEDMAS operations, then solve it.

Your expression: _________________________________

Answer: _______ (Students should create their own expression and solve it accordingly)

15. Explain why BEDMAS is important in mathematics. Give an example of what could go wrong without it.

Example Answer: BEDMAS is important because it provides a standard order of operations that ensures everyone calculates expressions the same way. Without it, different people might get different answers. For example, without BEDMAS, the expression 8 + 2 × 5 could be miscalculated as (8 + 2) × 5 = 50 instead of 8 + (2 × 5) = 18.