Math Focus 8
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# The Cost of Winning

## INTRODUCTION

Imagine that you have won a prize of \$10 000. You can collect your prize by choosing any items you like from any web site you can find – choose music, movies, clothes, skis, bikes etc. The only rule is that the web site must include a price for any item you want.

Your object is to make your prize as good as it can be – try to find sales and discounts for the items you want. Calculate the total price, including discounts, currency conversions, and taxes. That total must be less than or equal to \$10 000 (Canadian). Then, you will calculate the cost of your prize for the prize committee.

## THE PROCESS

1. Record the list price of each item. Use the Prize List .

1. Include any discounts the web site offers. Calculate the discounted price, and include it in your Prize List .

1. Calculate the cost of each item in Canadian dollars if it is not already in Canadian dollars. Use a currency converter, for example the one at www.xe.com/ucc. Include the Canadian price in your Prize List .

1. Calculate the total for all items and include the total in your Prize List .

2. Calculate the tax on the total. Be sure to include your provincial or territorial tax if there is one, and the GST. Calculate the total prize including the tax.

3. If your Total Prize is greater than \$10 000, better find a way to spend less!

4. The prize committee has worked out a deal with most online vendors – the committee will pay 8.6% less than the final billing. Calculate how much the prize will cost the prize committee, and include the amount in your Prize List .

5. Describe how you arrived at your Total Prize. Include any problems you dealt with and any decisions you had to make. Use the last page in the Prize List .

Websites:

You choose!

Files:

## ASSESSMENT

 Work meets standard of excellence Work meets standard of proficiency Work meets acceptable standard Work does not yet meet accecptable standard Problem Solving: Make a Plan Develops a thorough plan for solving the problem. Chooses an efficient and effective strategy. Develops a workable plan for solving the problem. Chooses an appropriate and workable strategy. Develops a basic plan for solving the problem. Chooses a simplistic and routine strategy. Develops a minimal and/or flawed plan for solving the problem. Chooses an inappropriate or unworkable strategy. Problem Solving: Carry out the Plan Shows flexibility and insight when solving the problem, adapting if necessary. Shows thoughtfulness when solving the problem. Shows understanding when solving the problem. Attempts to solve the problem. Problem Solving: Look Back Verifies the solution and accurately determines appropriateness of the response. Verifies the solution and reasonably determines appropriateness of the response. Attempts to verify the solution and determine appropriateness of the response. Has difficulty verifying the solution. Reasoning Comprehensively analyzes situations and makes insightful generalizations. Completely analyzes situations and makes logical generalizations. Superficially analyzes situations and makes simple generalizations. Is unable to analyze situations and make generalizations.