High School Mathematics Problems from Alaska

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Tourist and Traveler Information

Beth Sukraw

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.

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.

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.

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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.

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).

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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."

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