Exam I ~ Math 303

Take-Home Portion

This is a take-home exam. It is open notes and open book. Much, but not all, of it will be done online or on the computer. You will have one week to complete the exam (due date is November 4). This exam is open notes and open book, but not "open discussion." You should not collaborate with classmates on the questions, mathematics, answers, etc. You may ask Dr. Olsen questions. This portion of the exam has 5 questions.

Your Final Product

You will "submit" a web page that has links to pages or documents showing your answers--see details below. All the documents (html, Excel, Word) should be saved on you ECOM account. I strongly encourage you to make a subdirectory inside your http subdirectory titled "exam1" to house all your documents. When you have completed your exam, e-mail the URL to jr-olsen@wiu.edu. The web page should include:

• a link to an Excel spreadsheet solving the algebra problem (#1 below).
• a link to an Excel spreadsheet solving the algebra problem (#2 below). (If you want to make one spreadsheet file with two "sheets" for #1 and #2, that is fine.)
• a link to a web page (html document) in which you show a graphics calculator solution to the algebra problem (#1 below). This web page should have two graphics, (a) showing the Y= screen and (b) the graph showing the solution.
• a link to Word (or WordPerfect) document in which you solve the algebra problem (#1 below) by hand. The "by hand" solution should include mathematics written up using the Microsoft Equation Editor in the document.
• a link to a Word document or a web page that has your answers to the other questions on this exam.
• an e-mail link to your e-mail address.

Questions

1. Solve the following problem three ways. Solve it using a spreadsheet, graphics calculator, and by hand.

   The Springfield Thrashers minor league hockey team currently sells tickets for $7.50 and the average number of tickets sold per game is 4000 tickets. The ticket manager is considering raising the ticket price. For each 10 cent raise in the ticket price, 35 fewer tickets will be sold. Find the ticket price (rounded to the nearest 10 cents) which will maximize revenue and state the maximum revenue.

2. Make a spreadsheet (a very short one!) in which you have inputs (e.g., 3, 13, 39, -9, 0) and make a formula to convert each number to its evivalent in mod 5.

3. You are an Algebra II teacher and you are going to teach about functions. To help you teach about functions you may pick one of the following: a) graphing calculator, b) Function Flyer applet, c) Excel spreadsheet. State four reasons why you think the technology you picked will better help students understand function concepts than just using paper and pencil/chalkboard alone. Be specific as to the use of the technology and the concepts to hope to illuminate.

4. Use the transform App and the TI-Connect cable (and software) to create a handout (a Word document) which explains how the numbers A and B in the following equation effect the graph of the function. f(x) = sin(x + A) + B. Show at least three screen shots with three different A-values. Show at least three screen shots with three different B-values.
5. You are in a Math Department meeting at your high school. You have a small budget. State three convincing reasons why you should spend $19 to purchase a TI-Connect cable (the TI-Connect software is free).