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High School Mathematics Problems from Alaska

A database of lessons and units searchable by content and cultural standards, cultural region and grade level. More units will be available soon. You can use Acrobat Reader to look at the PDF version of the Cover Sheet for the Units and Self-Assessment for Cultural Standards in Practice.

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.

 


 

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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.

 

  1. How many miles can he drive with
    1. 5 gallons?


    2. 7 gallons?


    3. 20 gallons?

 

 

  1. Find an algebraic expression for this situation. Explain your reasoning in complete sentences.

 

 

 

 

 

 

  1. How many gallons of gas will he need to drive
    1. 280 miles?


    2. 350 miles?


    3. 56 miles?

 

 

 

 

  1. Use this information to complete the table.

Labels

 

 

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5

 

 

 

7

 

 

 

20

 

 

 

 

280

 

 

 

350

 

 

 

56

 

 

 

 

  1. Use the information from the chart to draw a graph. Label axes, indicate intervals, and create a title for the graph.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. If it is 150 miles from Fort Yukon to Old Crow how many gallons of gas does Stanley need?

 

 

 

 

 

  1. 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,
    1. How many gallons will he use from Fort Yukon to Chalkyitsik?


    2. How far beyond Chalkyitsik, can he drive if he does not fill up there?

 

 

 

 

 

  1. Explain how to use the graph to find how many gallons Stanley would need to go 70 miles to Chalkyitsik.

 

 

 

 

 

 

  1. 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.

 

  1. How many kilometers will Stanley drive if he travels
    1. 2 miles?


    2. 10 miles?


    3. 20 miles?

 

 

 

 

  1. Write an algebraic expression for this situation. Define your independent and dependent variables.

 

 

 

 

 

 

 

 

 

  1. How many miles will he drive if he travels
    1. 16 kilometers?


    2. 32 kilometers?


    3. 100 kilometers?

 

 

 

 

  1. Use the information to complete the following table.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

2

 

 

 

10

 

 

 

20

 

 

 

 

100

 

 

 

64

 

 

 

120

 

 

 

 

 

  1. Use the information in the chart to draw a graph. Label axes, indicate intervals, and create a title for the graph.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. a) Use the graph to check how many kilometers Stanley would travel if he went 50 miles.

 

 

 
  1. b) Use the graph to check how many miles Stanley traveled if he went 110 kilometers.

 

 


 

Extension Questions

 

  1. 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?

 

 

 

 

 

  1. Explain in a complete sentence how you got your answer.

 

 

 

 

 

  1. Write a mathematical procedure for finding the cost given a certain number of kilometers.

 

 

 

 

 

  1. Use this procedure for finding the cost of driving (round to the nearest cent)
    1. 80 kilometers?


    2. 240 kilometers?


    3. 160 kilometers?

 

 

 

  1. 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.

 

 

 

 

 

  1. Use the same procedure to find the number of kilometers Stanley can drive after spending
    1. $35 on gas?


    2. $15 on gas?

 

 

 

 

  1. Complete the following chart comparing kilometers to cost of gas

Labels

 

 

Units

 

 

Expressions

 

 

 

 

80

 

 

 

240

 

 

 

 

$35.00

 

 

 

$15.00

 

 

 

$25.00

 

 

  1. Use the information in the chart to create a graph. Label axes, indicate intervals and give a title to the graph.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Use the graph to estimate how much Stanley will need to spend on gas to travel 560 kilometers.

 

 

 

 

  1. Use the graph to estimate how far Stanley can drive if he spends $8 on gas.

 

 

 

Table of Contents

 

AL-CAN Highway Problem

Cigarette Smoking

Commercial Salmon Fishing

Cutting Cordwood

Dog Lot Math

Firefighting Crew

Firewood Problem

Investigation of Herring Statistics

Jesse Thomas Moose Hide Problem

Predicting Plant Coverage

Problem 1 - Converting the Date to the Day of the Year

Problem 2 - Azimuth and Arc Length

Problem 3 - Reading a Graph: Azimuth Range vs. Day in Barrow, Alaska

Problem 4 - Writing an Equation: Altitude Range vs. Day in Barrow, Alaska

Problem 5 - Problem Setup and Pattern Recognition: Sunrise in Barrow, Alaska

Problem 6 - Extensions of Data: Barrow, AK Sunrise/Sunset Information

Problem 7 - Writing an Equation: Fundraiser

Problem 8 - Writing an Equation: Fundraiser Choosing a Distributor

Stanley Jonas Travel Problem

Subsistence Fishing on the Kenai

Tourist and Traveler Information

 

 

For the Teacher's Guides, please email Alaska Native Knowledge Network

Whouy Sze Kuinalth
"Teaching Our Many Grandchildren"
Tauhna Cauyalitahtug
(To Make a Drum)
Math Story Problems
St. Lawrence Island Rain Parka Winds and Weather Willow
Driftwood Snowshoes Moose
Plants of the Tundra Animal Classification for Yup'ik Region Rabbit Snaring
The Right Tool for the Job
Fishing Tools and Technology
Blackfish Family Tree
Medicinal Plants of the Kodiak Alutiiq Archipelago Beaver in Interior Alaska Digging and Preparing Spruce Roots
Moose in Interior Alaska Birds Around the Village  

 

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."

 

 

Go to University of AlaskaThe University of Alaska Fairbanks is an affirmative action/equal opportunity employer and educational institution and is a part of the University of Alaska system.

 


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Last modified August 18, 2006