Part
1: Conjecturing Temperature Trends
-
Choose several
sets of three cities along similar longitudes with different
latitudes. Also choose several sets of three cities along similar
latitudes with different longitudes. What similarities and differences
do you expect to find between the monthly average temperatures in a
set of three cities? Assign each group of students to explore a set of
three cities. Based on the location of each city, the groups should
predict the cities’ annual average temperature. Suggestions for sets
of cities include:
cities with
similar latitude
- Los Angeles,
CA, Dallas, TX, and Montgomery, AL
- Pittsburgh, PA,
Lincoln, NE, and Salt Lake City, UT
- Richmond, VA,
Dodge City, KS, and San Francisco, CA
cities with
similar longitude
- Madison, WI, Springfield,
IL, and Jackson, MS
- Pittsburgh, PA,
Roanoke, VA, and Miami, FL
- Helena, MT, Salt
Lake City, UT, and Flagstaff, AZ
Part
2: Analyzing
Temperature Data for Three Cities
-
Each group should copy and paste the data for
each city of interest into a spreadsheet.
Place City 1 in row 2, City 2 in row 3, and City 3 in row 4.
After the data is in the spreadsheet, highlight cells A2, A3,
and A4 and select the Text to Column option under the Data menu. Follow the directions in the dialog boxes to format the
columns so that each monthly average is in a separate column.
Once all three sets of data are properly formatted in columns,
select column B and choose Delete under the Edit menu
(to delete the entries of 30 years).
Label row 1 with the months of the year, starting with January
in cell B1.
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To make a line graph:
-
Highlight the cells containing the labels (in
this case the City names) and the data to be graphed.
-
Click on the ChartWizard then click in the spreadsheet at the point where you
want your graph to appear.
The first pop-up window shows all the different types of
graphs that Excel can create.
Choose the Line icon and click on Next.
-
In the next pop-up window, verify the cell range
reference for the data you have selected. If this is correct,
click Next.
-
In the final step, give the graph a title and
click on Finish.
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Part
3: A Closer
Look at Cities with Similar Longitude and Latitude
- Compare the temperatures of the following three
cities with similar longitudinal positions.
| Helena, MT |
46.60 N |
112.00 W |
| Salt Lake City, UT |
40.78 N |
111.97 W |
| Flagstaff, AZ |
35.10 N |
111.70 W |
- Predict the average annual temperature for each
of these cities. Justify
your prediction.
- Below are the monthly average temperatures for
these cities. If a group has not already explored these three cities,
have each group enter the data
into a spreadsheet, calculate
the range, mean, and median, and create
a line graph of the three data sets.
| |
Helena, MT
|
Salt Lake
City, UT
|
Flagstaff, AZ
|
| Jan. |
19.6
|
27.9
|
28.7
|
| Feb. |
26.4
|
34.1
|
31.5
|
| March |
33.6
|
41.8
|
35.3
|
| April |
43.4
|
49.7
|
42.3
|
| May |
52.5
|
58.8
|
50.4
|
| June |
62.1
|
69.1
|
59.8
|
| July |
69.2
|
77.9
|
66.3
|
| Aug. |
67.4
|
75.6
|
64.1
|
| Sept. |
55.4
|
65.2
|
57.3
|
| Oct. |
45.1
|
53.2
|
47.2
|
| Nov. |
31.6
|
40.8
|
36.8
|
| Dec. |
21.2
|
29.7
|
29.6
|
-
Compare the range, mean, and median for these
three cities. How does the
mean compare with your prediction? Reconcile
any differences.
- Is it necessarily true that cities closer to the
equator (further south in the US) have higher temperatures than those
further away (further north in the US)?
What factors could be affecting the temperature in these cities?
- Compare the temperatures of the following three
cities with similar latitudinal positions.
| Richmond, VA |
37.50 N |
77.33 W |
| Dodge City, KS |
37.77 N |
99.97 W |
| San Francisco, CA |
37.62 N |
122.38 W |
- Predict the average annual temperature for each city. Justify your
prediction.
- Below are the monthly average temperatures for these cities.
If a group has not already explored these three cities, have
each group enter the data
into a spreadsheet, calculate
the range, mean, and median,
and create a line graph of the three data sets.
| |
Richmond,
VA
|
Dodge City,
KS
|
San Francisco,
CA
|
| Jan. |
35.7
|
29.8
|
51.1
|
| Feb. |
38.7
|
35
|
52.6
|
| March |
48
|
43.5
|
52.8
|
| April |
57.3
|
54.7
|
54.8
|
| May |
66
|
64.2
|
57.1
|
| June |
73.9
|
74.4
|
60.7
|
| July |
78
|
80.3
|
63.1
|
| Aug. |
76.8
|
78.2
|
64
|
| Sept. |
70
|
69
|
63.6
|
| Oct. |
58.6
|
57.5
|
61
|
| Nov. |
49.6
|
43.2
|
55.5
|
| Dec. |
40.1
|
32.5
|
51.1
|
-
What is the annual average temperature for each
city? What range of
temperatures can be expected in each city throughout the year?
Is knowing the average annual temperature for a city enough to
know the climate throughout the year? Explain.
-
Since these cities have similar latitude
positions, what else could be affecting the monthly temperatures?
-
Compare the month with the highest average
temperature in each city. Why
do you think the temperature in San Francisco peaks in October?
- Using one of the sets of three cities, create a bar graph of the
data using the month names as labels. Compare the bar graph with the
line graph. Which graph do you prefer? Why?
Extension:
- Conjecture locations in the US and in the world
that might have similar monthly temperatures.
Also, conjecture a location that has a temperature trend that
would curve opposite of one of the cities you investigated? Search the internet to find data and compare the
temperatures.
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