High School Mathematics Problems from Alaska
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Stanley
Jonas Travel Problem
Brenda
Jones
bjones@northstar.k12.ak.us
MS Word Download
Standards:
Measurement, Functions and Relationships.
Performance
Standards:
A2.4.2, A4.3.2, A4.3.4, A4.3.5, A4.4.2.
Concepts:
Converting from one system of linear measure to another,
graphing data from a table to a coordinate graph, using a graph to
make predictions.
Carnegie
Chapter:
Analyzing Data and Making Predictions.
Overview:
Stanley Jones is traveling from Fort Yukon to Old Crow, Canada.
Students calculate miles per gallon and convert from English to
metric measurements.
Click on image for a larger view
Stanley Jones
Travel Problem
Part
1
Stanley Jones is
driving his snow machine from Fort Yukon to Old Crow, Canada for
Spring Carnival. The gas tank on his snow machine holds ten gallons.
He finds that he can get, on average, 28 miles per gallon of
gas.
- How many miles
can he drive with
- 5
gallons?
- 7
gallons?
- 20
gallons?
- Find an
algebraic expression for this situation. Explain your reasoning in
complete sentences.
- How many
gallons of gas will he need to drive
- 280
miles?
- 350
miles?
- 56
miles?
- Use this
information to complete the table.
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Units
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Expressions
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5
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7
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20
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280
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350
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56
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- Use the
information from the chart to draw a graph. Label axes, indicate
intervals, and create a title for the graph.
- If it is 150
miles from Fort Yukon to Old Crow how many gallons of gas does
Stanley need?
- The first
opportunity that Stanley will have to gas up is in Chalkyitsik,
which is 70 miles away. If he began the trip with a full tank of
gas,
- How
many gallons will he use from Fort Yukon to Chalkyitsik?
- How far
beyond Chalkyitsik, can he drive if he does not fill up
there?
- Explain how to
use the graph to find how many gallons Stanley would need to go 70
miles to Chalkyitsik.
- How far beyond
Chalkyitsik, could Stanley travel if he filled up in
Chalkyitsik?
Stanley Jones
Travel Problem
Part
2
When Stanley Jones
leaves Alaska and enters Canada, he notices that the distances are
given in kilometers instead of in miles. He knows that one mile is
approximately 1.6 km.
- How many
kilometers will Stanley drive if he travels
- 2
miles?
- 10
miles?
- 20
miles?
- Write an
algebraic expression for this situation. Define your independent
and dependent variables.
- How many miles
will he drive if he travels
- 16
kilometers?
- 32
kilometers?
- 100
kilometers?
- Use the
information to complete the following table.
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Units
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Expressions
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2
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10
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20
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100
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64
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120
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- Use the
information in the chart to draw a graph. Label axes, indicate
intervals, and create a title for the graph.
- a) Use the
graph to check how many kilometers Stanley would travel if he went
50 miles.
- b) Use the
graph to check how many miles Stanley traveled if he went 110
kilometers.
Extension
Questions
- If Stanley pays
$2.50 per gallon of gasoline and his 4 wheeler get 30 miles per
gallon, how much will it cost to drive 48 kilometers?
- Explain in a
complete sentence how you got your answer.
- Write a
mathematical procedure for finding the cost given a certain number
of kilometers.
- Use this
procedure for finding the cost of driving (round to the nearest
cent)
- 80
kilometers?
- 240
kilometers?
- 160
kilometers?
- In order to
find the number of kilometers Stanley can drive after spending $10
on gas, you need to "undo" the procedure from the previous
problem. Work backwards, show your work and find the number of
kilometers Stanley can drive.
- Use the same
procedure to find the number of kilometers Stanley can drive after
spending
- $35
on gas?
- $15 on
gas?
- Complete the
following chart comparing kilometers to cost of gas
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Units
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Expressions
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80
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240
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$35.00
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$15.00
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$25.00
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- Use the
information in the chart to create a graph. Label axes, indicate
intervals and give a title to the graph.
- Use the graph
to estimate how much Stanley will need to spend on gas to travel
560 kilometers.
- Use the graph
to estimate how far Stanley can drive if he spends $8 on
gas.
Table of
Contents
For the Teacher's Guides, please email Alaska
Native Knowledge Network
Handbook
for Culturally Responsive Science Curriculum by Sidney Stephens
Excerpt: "The information and insights contained in this document will be
of interest to anyone involved in bringing local knowledge to bear in school
curriculum. Drawing upon the efforts of many people over a period of several
years, Sidney Stephens has managed to distill and synthesize the critical ingredients
for making the teaching of science relevant and meaningful in culturally adaptable
ways." |