Going the Distance
Teacher Notes:
- If you prefer, students could use spreadsheet software
for this activity instead of making a table. Be sure that students make
a table or use a spreadsheet for each problem.
- When all students have finished this activity, have a
classroom discussion about other strategies that could be employed to
solve this type of problem. Also, have students examine the differences
between the problems that are in this activity.
- Be sure that students understand using the table method
to solve the first problem before they continue with the other distance
problems.
- Exercise 3 is more difficult than the other problems
in that the total distance must be 478. You may want to work on this
problem as a whole-class activity.
- As an extension, the class could make a booklet or Web
page of all the problems that they write for this activity.
Answers:
Procedure for the Activity
Step 2 If Emilie starts at 8 A.M., she will have traveled 10 miles
by 9 A.M. So, the miles traveled at
9 A.M. will be 10.
Step
3 If Justyne
starts at 10 A.M., she will have traveled 0 miles at 8, 9, and 10 A.M.
By 11 A.M. she will have traveled for one hour, which will be a distance
of 14 miles.
Step
4
Emilie |
Must travel 90 miles. |
|
Justyne |
Must travel 120 miles. |
Time |
Miles Traveled |
|
Time |
Miles Traveled |
8 A.M. |
0 |
|
8 A.M. |
0 |
9 A.M. |
10 |
|
9 A.M. |
0 |
10 A.M. |
20 |
|
10 A.M. |
0 |
11 A.M. |
30 |
|
11 A.M. |
14 |
noon |
40 |
|
noon |
28 |
1 P.M. |
50 |
|
1 P.M. |
42 |
2 P.M. |
60 |
|
2 P.M. |
56 |
3 P.M. |
70 |
|
3 P.M. |
70 |
4 P.M. |
80 |
|
4 P.M. |
84 |
5 P.M. |
90 |
|
5 P.M. |
98 |
6 P.M. |
100 |
|
6 P.M. |
112 |
7 P.M. |
110 |
|
7 P.M. |
126 |
8 P.M. |
120 |
|
8 P.M. |
140 |
Step
5 Emilie
will arrive at Gardiner first at 5 P.M.
Step
6 Sample
answer: Emilie must travel 90 miles at 10 miles per hour. That will take
her 90 ÷ 10 = 9 hours. If she starts at 8 A.M., she will arrive at 5
P.M. Justyne must travel 120 miles at 14 miles per hour. That will take
her 120 ÷ 14 or about 8.6 hours. If she leaves at 10 A.M., she will arrive
between 6 and 7 P.M.
Step
7 See answers
below.
Distance Problems
1.
B737-300 |
Must travel 2572 miles. |
|
B747-100 |
Must travel 2572 miles. |
Time |
Miles Traveled |
|
Time |
Miles Traveled |
7 A.M. |
0 |
|
7 A.M. |
0 |
8 A.M. |
410 |
|
8 A.M. |
0 |
9 A.M. |
820 |
|
9 A.M. |
0 |
10
A.M. |
1230 |
|
10
A.M. |
505 |
11
A.M. |
1640 |
|
11
A.M. |
1010 |
noon |
2050 |
|
noon |
1515 |
1 P.M. |
2460 |
|
1 P.M. |
2020 |
2 P.M. |
2870 |
|
2 P.M. |
2525 |
| |
|
|
3 P.M. |
3030 |
The B737-300 will arrive at the airport
between 1 P.M. and 2 P.M. or at about 1:18 P.M.
2.
Nichole |
Must travel 405 miles. |
|
Gregory |
Must travel 405 miles. |
Time |
Miles Traveled |
|
Time |
Miles Traveled |
10
A.M. |
0 |
|
10
A.M. |
0 |
11
A.M. |
50 |
|
11
A.M. |
0 |
noon |
100 |
|
noon |
0 |
1 P.M. |
150 |
|
1 P.M. |
60 |
2 P.M. |
200 |
|
2 P.M. |
120 |
3 P.M. |
250 |
|
3 P.M. |
180 |
4 P.M. |
300 |
|
4 P.M. |
240 |
5 P.M. |
350 |
|
5 P.M. |
300 |
6 P.M. |
400 |
|
6 P.M. |
360 |
7 P.M. |
450 |
|
7 P.M. |
420 |
No; Nichole will arrive a few minutes
after 6 P.M., but Gregory will not travel 405 miles until closer to 7 P.M.
3.
Shanna |
|
|
Georg |
|
|
Time |
Miles Traveled |
|
Time |
Miles Traveled |
Total Miles Must Equal
470 |
6 A.M. |
0 |
|
6
A.M. |
0 |
0 |
7 A.M. |
55 |
|
7
A.M. |
0 |
55 |
8 A.M. |
110 |
|
8
A.M. |
0 |
110 |
9 A.M. |
165 |
|
9
A.M. |
65 |
230 |
10
A.M. |
220 |
|
10
A.M. |
130 |
350 |
11
A.M. |
275 |
|
11
A.M. |
195 |
470 |
They will be 275 miles from Houston.
It will be 11 A.M.
Wrapping Up the Activity
See students’ work.
Answer Sheet