» UNIT: Exploration of Two Growth Models. [HTML] [PDF]

Description: The central question of this unit is 'If population growth continues according to its current pattern, how long will it be until people are squashed up against each other?' Two models of growth are presented to determine how long will it take until the population reaches 1.6 * 1015 people? In addition, these models are used to describe another phenomenon, the spread of disease. There are links to websites that contain data that can be analyzed.

» When the earth would be full? [XLS]

Description:The excel file contains a summary and extension of the work done in class with predicting when the earth would be full (class definition of "full": 1.7 x 10^15; 10 people per square yard)

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» A Controversial Probability: Monty's Dilemma [HTML]

Description: Let's Make a Deal Paradox. This paradox is related to a popular television show in the 1970's. This activity investigates the probability of winning.

» A Risky Encounter [HTML]

Description: If a contagious disease is in existence, this disease can be transmitted through risky encounters and be spread throughout the entire population. This activity, using your class as a population that encounters one another during five stages, documents the risky encounters with other people.

» The Verhulst Model of the Population [HTML]

Description: If a contagious disease is in existence, this disease can be transmitted through risky encounters and be spread throughout the entire population. This activity, using your class as a population that encounters one another during five stages, documents the risky encounters with other people.

» Mathematics-in-Context Activity [HTML]

Description: The purpose of the lesson is to utilize some applications of linear and quadratic equations and show how these would apply in the real world, using hands-on investigations. Using a tape measure, drop a ball from a given height and measure the height of its first bounce. Change the drop height and measure the first bounce. Keep repeating the process.

» Mama Sid's Pizza [HTML] [PDF]

Description: Every Friday night my friends and I go to Mama Sid's for dinner. If we want to order a different pizza every Friday for a whole year, how many toppings would Mama Sid's have to offer?

» Combinatorics [HTML] [PDF]

Description: A lesson plan investigating combinatorics in a restaurant environment.

» Public Transportation and Mathematics [HTML]

Description: A class activity involving experimentation, statistics, and network optimization.

» Networking in a Grocery Store [HTML]

Description: The object of the study is to understand how networking is part of our everyday routine.

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» http://www.micron.com/education/math/intro.html

Description: MATH IN THE WORKPLACE: Lot's of examples of how math is used in real workplaces

» http://www.learner.org/exhibits/dailymath/

Description: Math in Daily Life

Description: Lesson plans for applications of Mathematics: All Fired Up (Firefighter) Life Saver Anyone? (Lifeguard) Circuit Challenges (Electrical Engineer) Making Plans (Event Planner) Daunting Peaks (Vulcanologist) On a Roll (Roller Coaster Designer) Fit by Design or Design to Fit (Mechanical Drafter Designer) Paint by Numbers (House Painter) Formula for Success (Market Analyst) Pixelmaniacs (Computer Game Designer) Hearing is Believing (Audiologist) Record Breaking News (Sportscaster) In Dog Pounds (Animal Health Technologist) Teeing Off (Golf Pro) Let it Fly! (Aerospace Engineer) Tuning In (Piano Repair Technician)

» http://www.enc.org/topics/realworld/online/documents/0,1946,FOC-001733-index,00.shtm

Description:Mathematics Projects that Foster a Critical Look at our World: Using real-life investigations, this seventh grade teacher motivates her students to critically examine the world around them, helping them become quantitatively literate or "numerate."

» http://www.enc.org/topics/realworld/online/documents/0,1946,FOC-000706-index,00.shtm

Description:Using Technology and Real World Connections to Teach Secondary Mathematics Concepts.

» http://www.c3.lanl.gov/mega-math/workbk/dom/dobkgd.html

Description: Mathematics in Maps and Planning

» http://www.nap.edu/html/hs_math/ch2.html

Description: Market Launch: Example to Statistical Analysis in marketing.

» http://www.nap.edu/html/hs_math/ec.html

Description: Emergency Calls: A city is served by two different ambulance companies. City logs record the date, the time of the call, the ambulance company, and the response time for each 911 call. Analyze these data and write a report to the City Council (with supporting charts and graphs) advising it on which ambulance company the 911 operators should choose to dispatch for calls from this region.

» http://www.nap.edu/html/hs_math/se.html

Description: Scheduling Elevators: In some buildings, all of the elevators can travel to all of the floors, while in others the elevators are restricted to stopping only on certain floors. What is the advantage of having elevators that travel only to certain floors? When is this worth instituting?

» http://www.nap.edu/html/hs_math/hd.html

Description: Heating-Degree-Days: An energy consulting firm that recommends and installs insulation and similar energy saving devices has received a complaint from a customer. Last summer she paid $540 to insulate her attic on the prediction that it would save 10% on her natural gas bills. Her gas bills have been higher than the previous winter, however, and now she wants a refund on the cost of the insulation. She admits that this winter has been colder than the last, but she had expected still to see some savings.

» http://www.nap.edu/html/hs_math/tl.html

Description: Timing Traffic Lights: A stretch of a suburban road lined with shopping plazas carries heavy commuter traffic. The road has 15 traffic signals, unevenly spaced, at the intersections with cross streets and mall entrances. Figure out how to time the lights in order to maximize the flow of commuter traffic.

» http://www.nap.edu/html/hs_math/bu.html

Description: Buying a Used Car: How does the age of a used car affect its price? How does its age affect its repair costs? What is the best age at which to buy a used car?

» » http://www.nap.edu/html/hs_math/drd.html

Description: Drug Dosage: A student strained her knee in an intramural volleyball game, and her doctor has prescribed an anti-inflammatory drug to reduce the swelling. She is to take two 220-milligram tablets every 8 hours for 10 days. Her kidneys filter 60% of this drug from her body every 8 hours. How much of the drug is in her system after 24 hours?

» » http://www.nap.edu/html/hs_math/bc.html

Description: Buying on Credit: A credit card company, whose motto is "see the world on credit," charges 1.387% interest on the unpaid balance in an account each month, and requires a minimum payment of 2% of the outstanding balance each month. Suppose you charge $100 each month and make only the minimum payment each month. How much will you owe at the time of your 24th bill? Assuming you pay the whole bill at the end of that period, how much will be interest?

» http://www.nap.edu/html/hs_math/lw.html

Description: Lottery Winnings: A lottery winner died after five of the twenty years in which he was to receive annual payments on a $5 million winning. At the time of his death, he had just received the fifth payment of $250,000. Because the man did not have a will, the judge ordered the remaining lottery proceeds to be auctioned and set the minimum bid at $1.3 million. Why was the minimum bid set so low? How much would you be willing to bid for the lottery proceeds?

» http://www.nap.edu/html/hs_math/hq.html

Description: Hospital Quality: As health care director for your company, your job is to select which of two local hospitals you will send your employees to in case of emergency.

» http://www.nap.edu/html/hs_math/ro.html

Description: Rounding Off: In a certain multi-million dollar company, Division Managers are required to submit monthly detail and summary expense reports on which the amounts are rounded, for ease of reading, to the closest $1,000. One month, a Division Manager's detail report shows $1,000 for printing and $1,000 for copying. In the summary report, the total for "printing and copying" is listed as $3,000. When questioned about it by the Vice President, he claims that the discrepancy is merely round-off error. In subsequent months, the Vice President notices that such round-off errors seem to happen often on this Division Manager's reports. Before the Vice President asks that the Division Manager re-create the reports without rounding, she wants to know how often this should happen.

» http://www.nap.edu/html/hs_math/rt.html

Description: Rules of Thumb: Some drivers learn the rule of thumb, "Follow two car lengths behind for every 10 miles per hour." Others learn, "Stay two seconds behind the car ahead." Do these two rules give the same results? Is one safer than the other? Is one better for roads with speed limits of 45 or 50 miles per hour and another for highways on which the speed limit is 65 or 70 miles per hour?

» http://library.thinkquest.org/12006/resources.shtml

Description: Math & Basketball

» http://education.qld.gov.au/tal/kla/finance/usingtec.htm


Description: Financial Math in Context: Technology Applications (Excell, Graphing Calculator, etc.)

» http://iwe.coe.missouri.edu/Career_Paths/Lesson_Plans/Biz_Mgt_Tech/bm0001.html

Description: Grades 9-12. Student Investment Clubs: Students will organize their own clubs and pretend to purchase/sell/trade stocks and keep a portfolio.

» http://www.showmecenter.missouri.edu/showme/mic.shtml

Description: Mathematics in Context Project sample lessons and teacher pages

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The Department of Mathematics Education
University of Georgia