IB MYP 2 Mathematics – Criterion D Task
Topic: Order of Operations
Criterion D: Applying Mathematics in Real-Life Contexts
Real-Life Context: Supermarket Shopping
You have a budget of $100 for your shopping. You plan to buy the following items:
- 3 packs of juice boxes, each costing $4.50
- 2 family pizzas, on sale as Buy 1 Get 1 50% off (original price: $11.00 each)
- 4 bags of apples, each weighing 1.5 kg and costing $2.60 per kg
- A 10% discount voucher applies only after calculating total before tax
- Sales tax is 8%
Task Instructions
- Write a single mathematical expression using numbers, operations, and brackets to calculate your total bill before tax and discount.
- Apply the order of operations correctly to calculate the total cost after applying the 10% discount and then the 8% sales tax.
- Show all your steps clearly, explaining why you perform each operation in that order.
- State whether your total cost is within your $100 budget.
- Write a brief reflection (2–3 sentences) on how using the correct order of operations helps in budgeting or real-life purchases.
Sample Expression (for reference)
For example, the expression before discount and tax could look like this:
\(3 \times 4.50 + (11 + 11 \times 0.5) + (4 \times 1.5 \times 2.60)\)
Then apply discount and tax in correct order.
Extension (Optional Challenge)
Suppose you want to buy 2 movie tickets after shopping. Each ticket costs $12.75.
- Recalculate your total cost including movie tickets.
- Decide if your budget is sufficient.
- If over budget, suggest how you could adjust your shopping to stay within $100.
Assessment Rubric – Criterion D
Level | Description |
---|---|
0 | The student does not reach a standard described by any of the descriptors below. |
1–2 | The student applies mathematical strategies to some extent, with limited effectiveness in a real-life situation. |
3–4 | The student appropriately selects and applies mathematical strategies, providing a partially accurate solution to a real-life situation. |
5–6 | The student effectively applies relevant mathematical strategies and gives a mostly accurate solution with some justification. |
7–8 | The student consistently applies relevant, sophisticated mathematical strategies to reach a valid, accurate solution and provides a clear, well-justified explanation connected to the real-life context. |
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