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| Educational Curriculum >
Math |
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A Marketable Model
Objective:
Students will conduct a survey and graph their results
Curriculum
Area: Math - Graphing
Study
Skills: Conducting a Survey; Compiling Data
Materials:
Paper and pencil for each group, clipboards, graph paper, markers, crayons,
or colored pencils.
Procedure:
Ask the
children if they have ever purchased a toy that disappointed them. Allow them to
share one or two examples. As they share, ask them what they would have changed
to make the toy better. Explain that car manufacturers design new cars in the
same way. They look at the qualities people ask for in the cars they purchase
and then incorporate these features into future
designs.
Explain
to the children that they will be working in small groups to determine what the
perfect model car would be. Divide them into small groups, preferably no more
than four. Assign each group one of the following categories:
Manufacturer
Model
(station wagon, sedan, sport utility, etc.)
Color
Number
of doors
Type
of seats (bucket or bench)
Transmission
(automatic or stick shift)
Convertible,
hard top, sun/moon roof
Take
the groups to the school parking lot and have them survey the cars there. Before
taking the students out, remind them not to touch any of the cars. If they
cannot see what they need, tell them to either make a guess or skip that car.
After
the students complete their survey, review the parts and qualities of an
excellent graph and have them create an appropriate graph of the data. This may
be done as a group activity or an individual one. When the graphs are finished,
display them and discuss the results. By using the top-scoring item in each
category they can answer the question,
What is
the perfect car? For example, it might be a red Mercedes, two-door sedan with a
stick shift and a moon roof.
Word Problems
Curriculum Area: Mathematics
Materials: Set of Word Problems, Graph Paper
Procedure:
-
Read background information given for each set of problems
-
Read the corresponding problems carefully
-
Brainstorm to produce a variety of possible problem solving
strategies
-
Solve
Students
explain answers in words, numbers, pictures, graphs, etc. As problems range
somewhat in level of difficulty, teachers should select those problems which
seem most appropriate for the class.
Use the
following informational paragraphs to answer the corresponding questions:
SET A:
The first
electric car was designed by William Morrison in 1891. It took 10 hours to
charge a battery that could run for 13 hours. Its average speed was 14 mph. Flat
tires, broken axles, muddy roads, soggy pastures, and no real road maps to speak
of were some of the obstacles drivers in the early 1900s, such as Alice Ramsey,
could expect to encounter on a journey.
-
If a
driver started on a trip at 7:00 a.m. and kept driving all day, at what time
could s/he expect the battery to run down?
-
If a
driver drove on the average of 2 hours a day, how many days would s/he
expect the battery to last?
-
How
many hours of life would the battery still have left in it?
-
How
many miles could the driver expect to travel in 5 hours assuming the road
conditions were good, and the car had no break-downs?
-
If a
driver wanted to travel to a city 560 miles away, assuming there were no
road or engine problems, how many hours would the trip take?
-
About
how many times would the battery need to be charged for the above trip?
-
A
driver wanted to travel to a city 280 miles away. He allowed a varying
number of hours for driving time each day. Set up a schedule s/he might
follow beginning with the model below:
| Day #1: |
Activity: |
Miles |
|
7
A.M. - 8:00 A.M.
9
A.M. - 12:00 P.M.
12
P.M. - 2:00 P.M.
2
P.M. - 3:00 P.M.
3
P.M. - 7:00 P.M.
7
P.M. - 8:00 A.M.
7
P.M. - 8:00 A.M. |
Shower
and breakfast
Drive
Lunch
and rest
Sightseeing
Drive
Recharge
battery
Dinner
and retire for the night |
|
Using graph
paper, set up a similar chart for the next several days indicating the day and
time of arrival at the destination, 280 miles away.
SET B:
In 1905,
Jonathan D. Maxwell came up with a wonderful car with a two cylinder
water-cooled engine. A person could buy a 2 person tourabout for $750, and a 5
person touring car for $1,400. The following gives information as to how many
Maxwells were produced for several years in the early 1900s:
 |
in
1907--3,785 cars |
 |
in
1908--4,455 cars |
 |
in
1909--9,460 cars |
Then, in
1909, a high-powered sales manager, Cadwallader Washburn Kelsey, who was always
thinking up outrageous publicity stunts, thought up a wonderful new idea to sell
Maxwells. Previously, he had attracted the public eye by publicizing tetterboard
riding, chases with police, and driving up steps to important buildings
including churches, etc.--all in a Maxwell, of course! In 1909, he came up with
a really brilliant idea. He persuaded Alice Huyler Ramsey and three of her lady
friends to trek cross-country from Hells Gate in New York, to the Golden Gate in
San Francisco, in a Maxwell. At that time, the thought of women even thinking
about such a journey was preposterous! No wonder they succeeded in attracting
more press coverage than even Kelsey could have hoped for. The idea worked; in
1910, 20,500 Maxwells were sold. In 1917, the 100,000th Maxwell was sold.
-
How
much more did the 5 person tourabout cost than the 2 person tourabout cost
in 1905?
-
How
many more cars were sold in 1908 than in 1907?
-
How
many more cars were sold in 1910 than in 1908?
-
How
many more cars were sold in the combined years 1908, 1909 and 1910?
-
How
many more Maxwells were sold in 1917 than in all the years between 1907 and
1910?
-
What
are some of the reasons which might account for the continual rise in the
number of sales each year?
-
What
could cause the prices to rise?
-
Make a
bar graph or a line graph showing the rise in the number of sales from 1907
to 1917.
-
If half
the Maxwells sold in 1907 were 2 person tourabouts, how much money was spent
on all the tourabouts sold in that year?
-
Using
the data in the paragraph above, write a word problem of your own with the
answer.
SET C:
The 1908
Maxwell Two-Cylinder 14 horsepower Runabout Model LD was equipped with a
wheelbase of 84 inches. The tires were 30 inches in diameter. It was reported in
the June 1909 , issue of a magazine called Touring Topics, that Miss Violet
Neill ran a Maxwell Runabout for 19 months at a total cost, including tires,
gasoline, oil, and supplies of every nature including gloves, lap robes, and
both fire and accident insurance, of $575.46. The car cost $1000.00 originally,
and was sold at the end of the 19 months for $500.00. She drove her little car
10,979 miles.
-
Using
the measure of the wheelbase, axle to axle, about how many Maxwells could be
parked end to end along a curb 95 feet long? Don't forget, the tires were 30
inches in diameter.
-
What
did it actually cost Miss Violet to run her car for the 19 months? Remember,
she sold it for $500.
-
About
what did it cost her to run her car each month?
-
On the
average, about how many miles did she drive per month?
-
About
how much did it cost her to run her car per mile?
-
If Miss
Violet drove about 15 miles per hour on the average, about how many hours
did she drive before selling her car?
SET D:
The
following article was found in a 1909 magazine, Touring Topics, published by AAA
of Southern California.
The
Odometer's Record
We are
indebted to Mr. H. G. Miller of the Union Iron Works for the following
statistics taken on a recent trip to Santa Barbara. The first column
represents the time of leaving and the second column, the odometer reading,
which will be found very interesting to those who wish to take a leisurely
trip and be able to estimate the time necessary for covering the distance
between the various points.
| July 3, 1909 |
Time |
Odometer Reading |
|
Adams St. &
Vermont Ave
Hollywood
Ranch House,
L.A.F. & M. Co.
Encino Ranch
Top Chalk Hill
Calabasas
Long Hill by
School
Russells Ranch
Old Newbury Park
Conejo Pass
El Rio
Ventura, Arrived
Ventura, Left
Casitas Bridge
Top Big Casitas
Top Little
Casitas
Shepherd's,
Arrived
Shepherd's, Left
Carpenteria
Hotel Potter |
6:20
6:45
7:08
7:25
7:41
7:57
8:11
8:40
8:55
9:10
9:33
10:25
10:36
10:55
11:30
11:57
12:15
1:30
1:53
2:40 |
2123.5
2130.7
2137.2
2141.8
2146.5
2151.3
2155.2
2161.8
2166.0
2171.2
2179.0
2192.4
2192.4
2198.2
2204.2
2207.9
2210.3
2210.3
2215.4
2227.3 |
The total distance
recorded was 103.8 miles; time 9 hours, 20 minutes, with a stop of 1 ¼ hours at
Shepherd's Inn.
1. About how far is it
from Hollywood to Old Newbury Park?
2. About how far was it
from Calabasas to El Rio?
3. About how many miles
per hour was the driver driving, including his
stop for food at
Shepherd's Inn?
4. How long did it take
to get from Encino Ranch to El Rio?
5. How long did the
driver stay in Ventura?

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