This is part of the ANKN Logo This is part of the ANKN Banner
This is part of the ANKN Logo This is part of the ANKN Banner Home Page About ANKN Publications Academic Programs Curriculum Resources Calendar of Events Announcements Site Index This is part of the ANKN Banner
This is part of the ANKN Logo This is part of the ANKN Banner This is part of the ANKN Banner
This is part of the ANKN Logo This is part of the ANKN Banner This is part of the ANKN Banner
Native Pathways to Education
Alaska Native Cultural Resources
Indigenous Knowledge Systems
Indigenous Education Worldwide
 

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.

Tourist and Traveler Information

 

Beth Sukraw

 

MS Word Download

Standards: Estimation and Computation, Functions and Relationships. 

Performance Standards: A3.3.2, A3.3.3, A3.3.4, A3.3.5, A3.3.6, A3.4.5, A3.4.6, A4.4.3.

Concepts: Converting Units, Creating Tables, Representing values with an Equation and Graph, Truncating, Rounding, Using a Graphing Calculator.

Carnegie Chapter: Analyzing Data and Making Predictions, Connecting Situations to Equations.

Overview: The communities located along the highways, flyways and waterways of Alaska many times depend on travelers for their livelihood. Most questions travelers ask before going through a different country pertain to the conversions discussed in this unit. If you have time, please include a section on temperature conversions. Also, create a general rule of estimation for the conversions as an enrichment exercise. For example, 1 gallon is approximately equal to 4 liters and 1 liter is approximately equal to .25 gallons.


 

Tourist and Traveler

You are employed with an information center to help tourists travel through Canada to Alaska. Sometimes tourists are hesitant to travel through Canada because they are not familiar with the exchange rate or the metric system. The tables and graphs that you create will be published in a brochure or as a website for travelers.

The currency exchange rate as of February 2002 is one US dollar is equal to 1.59 Canadian dollars, and one Canadian dollar is equal to 0.63 US dollars. If you have access to the current rate of exchange, write it down and use the current exchange rate.

1 US dollar = ______________________________________ Canadian dollars

1 Canadian dollar = ______________________________________ US dollars

Other conversions that you may use are:

1 liter

=

.2642 gallons

1 gallon

=

3.785 liters

1 kilometer

=

.6214 miles

1 mile

=

1.609 kilometers

 

 

  1. Using the information above, create a table that shows the value of US currency in Canadian currency. Round to the nearest penny.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

10

 

 

 

25

 

 

 

36.50

 

 

 

 

60.00

 

 

 

100.00

 

 

  1. Graph the table of values. Label the axes, define the scale, and title the graph.

 

graph paper

 

 

  1. Write an equation that represents this table of values. Define any variables you use.

 

 

 

 

  1. Explain how to use the equation to find the value of money in Canadian dollars given the US dollars.

 

 

  1. Create a table that shows the value of Canadian currency in US dollars.

 

Labels

 

 

 

Units

 

 

 

Expressions

 

 

 

 

10

 

 

 

30

 

 

 

50

 

 

 

 

75

 

 

 

100

 

  1. Graph the table of values. Label the axis and title the graph.

graph paper

 

Looking at the graph, estimate the value of $80.00 Canadian.

 

 

 

 

  1. Write an expression that represents this table of values. Define any variable you use.

 

 

 

 

 

 

  1. Explain how this equation relates to the equation in #3.

 

 

 

 

 

 

  1. The vehicles that travelers use range in size from small, such as motorcycles, to large, such as motor homes. The amount of fuel they require also varies. Using the information that 1-gallon is equal to approximately 3.785 liters, create a table.

 

Labels

 

 

Units

 

 

Expressions

 

 

 

 

10

 

 

 

25

 

 

 

40

 

 

 

 

50

 

 

 

75

 

  1. Graph the table of values. Using the graph, estimate the number of liters in 20 US gallons. Label the axes.

graph paper
Click on image for a larger view

 

  1. Write an equation that a tourist could use to find the number of liters given a known value of gallons.

 

 

 

 

 

  1. Explain how to use the gallons to liters conversion to write liters to gallons conversion equation. Make a table.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

20

 

 

 

30

 

 

 

50

 

 

 

 

15

 

 

 

20

 

Most vehicles show both miles per hour and kilometers per hour on the speedometer; however, the odometer usually displays either miles or kilometers, not both. Tourists are many times concerned with time and travel.

 

  1. Using the information that one-mile is approximately equal to 1.609 kilometers, create a table.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

5

 

 

 

10

 

 

 

50

 

 

 

 

100

 

 

 

120
  1. Graph the table of values. Label the axes and title the graph.

 

graph paper

 

 

 

  1. Write an equation that represents this table of values.

 

 

 

 

  1. Using the same variables, write an equation that exemplifies the conversion of kilometers to miles.

 

 

Extension

 

  1. Now create a brochure or website format that will help Alaskan and Canadian travelers and tourists convert currency, liquid capacity (liters and gallons), and distance (miles and kilometers).
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.

 


Alaska Native Knowledge Network
University of Alaska Fairbanks
PO Box 756730
Fairbanks  AK 99775-6730
Phone (907) 474.1902
Fax (907) 474.1957
Questions or comments?
Contact
ANKN
Last modified August 18, 2006