Foundations of Algebra and Geometry
Chapter 2 Answers
Communicating Mathematics
Using your computer, calculator, and mathematics, explore Khafre's Pyramid in Egypt.
Part A, Exponents
1. Explore Khafre's Pyramid, the second largest of the three pyramids of Giza, Egypt.
a. How many feet is the length of each side of the base of Khafre's pyramid? [704 feet]
b. How would you find the area of the pyramid's base?
[Multiply the length times the width or 704 x 704.]c. Show two ways to use a calculator to find the answer.
[704 x 704 or 704 yx2]d. What is the area of the base of the pyramid?
[495,616 square feet]
Part B, Estimating and Rounding
2. One acre of land is 43,560 square feet.
a. Show the division problem that calculates the number of acres of land covered by the base of Khafre's pyramid. [495616 ÷ 43560]
b. Answer the division problem you wrote in a. Round your answer to the nearest tenth. [11.4 acres]
c. Check your answer to b at the Khafre's Pyramid site. How many acres does it say the base of Khafre's pyramid covers?
[11 acres]d. Why are the answers to parts b and c NOT the same?
[The Web site rounded to the nearest acre and the student was told to round to the nearest tenth.]
Part E, Making Connections
1. Use the Internet to plan a birthday party for your best friend. Your budget is $150, which should cover food and an activity. ALL food and activities MUST be arranged on the Internet. NOTE: This is a lengthy assignment. Read the entire assignment before you begin to "surf the net."
a. Some possible Internet resources for food and activities are listed below. You may also find your own sites, but be sure to list them in your report.
When on the Internet, do not actually order anything. Every site has options to preview or modify. You may always search information without actually buying anything. If you cannot find sites in your area, choose a town or city nearby.
Food:
Restaurants across the U.S. with takeout or delivery
Activities:
Movie theaters across the U.S.
Premium tickets for sporting and entertainment events
Tickets anywhere in the U.S.
Stadiums seating charts and photos
Concert tour schedules and event listings
Yahoo ticket site for tickets in any region.
b. Write a paragraph about what you want to do at your party.
c. Make a guest list for the party.
d. Make a spreadsheet. Your spreadsheet should include an itemized list of the following:
· All food (including quantities, subtotals, and delivery charges)
· The activity cost (including any Internet discounts or surcharges)
· Total debits (what you owe)
· Your net balance (the amount of money you have or owe after the party)e. Write a paragraph summarizing the results of your party planning and describe what you could do to make your party a reality. Be sure to write about one of the following:
· If you are over budget (over $150), what changes do you need to make (fewer guests, different activity, etc.)?
· If you have money left over, what could you do to spend just the right amount?f. Your final report should have the following:
· Title
· Paragraph about your party
· Guest list
· Spreadsheet
· Paragraph summarizing the result of your party planningTips on writing your report
1. You can have a word processor, spreadsheet, and an Internet browser open at the same time.
Mac: Toggle between applications by clicking on the far right icon in the top menu bar and choosing the application.
IBM: Open applications and minimize the programs you are not using. Use the task bar at the bottom to toggle between applications.
2. On a Macintosh, ClarisWorks allows you to input into a spreadsheet while word processing.
3. On most machines, you can create a spreadsheet and copy it to a word processing program.
4. You can copy pictures and/or text from the Internet and copy/paste them to a spreadsheet or document.
5. Do NOT forget to save your work before toggling between programs. Machines have a tendency to "freeze." You may lose your work if you do not save regularly.
Part A, Variables in Expressions
1. Choose four companies and find the value of each company's stock for four consecutive days. Use the information you find to make a table showing the price of the stock each day and how much the stock gained or lost over the previous day.
You can get free stock quotes at eSignal.
Part B, Evaluating Expressions
2. Assume you buy your first stock on Day 1. Let A = price per share of that stock. The broker's fee is $9.95 per transaction no matter how many shares of stock you buy.
a. Record the price of one share of stock in column A.
b. Write each of the following situations as an algebraic expression in column B:
i. 1 share of your stock.
ii. 35 shares of your stock.
iii. 70 shares of your stock and a $9.95 broker's fee.
iv. 110 shares of your stock and a $14.95 broker's fee.
v. 60 shares of your stock and a broker's fee of 10 cents per share bought.
vi. 250 shares of your stock and 1% of the cost of the shares broker's fee.
c. Calculate the answer to the expressions, and record the answers in column C.