DESIGNED I STUDENT
DESIGNED I WEB
DESIGNED UNITS & ACTIVITIES
UNIT: Exploration of Two Growth Models. [HTML]
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]
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)
DESIGNED UNITS & ACTIVITIES
A Controversial Probability: Monty's Dilemma [HTML]
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
A Risky Encounter [HTML]
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]
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 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]
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
plan investigating combinatorics in a restaurant environment.
class activity involving experimentation, statistics, and network
Networking in a Grocery Store [HTML]
The object of the study is to understand
how networking is part of our everyday routine.
MATH IN THE WORKPLACE: Lot's of examples of how math is used in real
Math in Daily Life
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)
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."
Technology and Real World Connections to Teach Secondary Mathematics
Mathematics in Maps and Planning
Example to Statistical Analysis in marketing.
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
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?
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.
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.
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?
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?
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?
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?
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.
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.
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
Math & Basketball
Financial Math in Context: Technology
Applications (Excell, Graphing Calculator, etc.)
Grades 9-12. Student Investment Clubs:
Students will organize their own clubs and pretend to purchase/sell/trade
stocks and keep a portfolio.
Mathematics in Context Project sample
lessons and teacher pages