IB MYP 2 Math Assessment || Topic : Order of Operations || Criterion C – Communicating & Criterion D: Applying Mathematics in Real-Life Contexts

IB MYP 2 Mathematics

Order of Operations – Criterion C & D Tasks

Criterion C: Communicating Mathematical Ideas

Topic: Order of Operations

Task: Simplify the following expressions step-by-step, showing all your working and explaining the order of operations you apply.

1. Simplify:
   
   \( 5 + 3 \times (8 - 4)^2 \div 2 \)
2. Simplify:
   
   \( (12 \div 3 + 7) \times (5 - 2)^2 - 4 \)
3. Simplify:
   
   \( 18 - 6 \times 2 + (3^3 \div 9) \)

Instructions:

• Write down each step clearly, explaining which operation you are doing and why, following the order of operations rules.
• Use correct mathematical notation and terminology (e.g., brackets, indices, multiplication, division, addition, subtraction).

Criterion D: Applying Mathematics in Real-Life Contexts

Topic: Order of Operations

Real-Life Scenario:

You are budgeting for a birthday party. You plan to buy:

• 4 boxes of cupcakes at $6.25 each
• 2 large pizzas, priced at $15 each, with a 25% discount on one pizza
• 5 liters of juice at $2.40 per liter
• Sales tax of 7%

1. Write a mathematical expression that calculates the total cost before tax, using appropriate operations and brackets.
2. Calculate the total cost including the 7% sales tax. Show all your working clearly and explain how you apply the order of operations.
3. If your budget for the party is $75, state whether you are within budget and justify your answer with calculations.
4. Reflect in 2–3 sentences on why it is important to use the correct order of operations in budgeting real-life expenses.

Assessment Rubrics

Criterion C: Communicating Mathematical Ideas

Level	Description
0	The student does not reach a standard described by any descriptors below.
1–2	Attempts to communicate mathematical ideas with limited clarity and accuracy.
3–4	Communicates mathematical ideas with some clarity and partial accuracy, using some appropriate terminology.
5–6	Communicates mathematical ideas clearly and accurately, using appropriate terminology and notation.
7–8	Communicates mathematical ideas precisely and coherently, with clear, accurate use of terminology and notation throughout.

Criterion D: Applying Mathematics in Real-Life Contexts

Level	Description
0	The student does not reach a standard described by any descriptors below.
1–2	Applies mathematical strategies with limited effectiveness to a real-life context.
3–4	Applies appropriate mathematical strategies to a real-life context with partial accuracy.
5–6	Effectively applies relevant mathematical strategies with mostly accurate results and some justification.
7–8	Consistently applies relevant, sophisticated mathematical strategies with accurate results and clear justification linked to the real-life context.