IB MYP 2 Math Task || Topic : Order of Operations || Criterion A (Knowing and Understanding) and Criterion B (Investigating Patterns)

IB MYP 2 Mathematics

Order of Operations – Criterion A & B Tasks

Criterion A: Knowing and Understanding

Topic: Order of Operations

Task: Answer the following questions to demonstrate your understanding of the order of operations rules.

1. Define the order of operations and explain why it is important in mathematics.
2. Simplify the expression:
   
   \( 7 + 2 \times 5 - (3^2 - 4) \)
3. Evaluate:
   
   \( (6 + 4) \div 2^2 + 3 \times 2 \)

Be sure to write your answer clearly and explain each step in your calculations.

Criterion B: Investigating Patterns

Topic: Order of Operations

Task: Investigate the pattern in the sequence of expressions below and answer the questions that follow.

1. Consider the sequence of expressions:
   
   \[ \begin{aligned} &E_1 = 1 + 2 \times 3 \\ &E_2 = (1 + 2) \times 3 \\ &E_3 = 1 + (2 \times 3) \\ &E_4 = (1 + 2 \times 3) \\ &E_5 = ((1 + 2) \times 3) \end{aligned} \] Calculate the value of each expression \( E_1 \) to \( E_5 \).
2. Describe how the placement of brackets affects the value of each expression.
3. Predict the value of the expression:
   
   \( E_6 = 1 + 2 \times 3 - 4 \)
   Then, write two different versions of this expression with brackets placed differently that would change the value, and calculate those values.
4. Reflect on how understanding the order of operations helps you make sense of these patterns.