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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.

Commercial Salmon Fishing

 

Bobbi Jordan
bew2@ptialaska.net

MS Word Download

Standards: Probability and Statistics.

Performance Standards: A6.3.1, A6.3.3, A6.3.4, A6.4.1, A6.4.2, A6.4.3

Concepts: Scatter Plots, Line of Best Fit, Graphing Calculator Activity.

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

Overview: The following unit deals with the commercial fishing of salmon in Alaska from 1970 - 1999. The data is from actual Alaska Department of Fish and Game information from its website, so it can be updated every year if the teacher is interested in doing so. To obtain the information for this unit go to www.cf.adfg.ak.us/geninfo/finfish/salmon/catval/history/1970-99.htm. Or go to the Alaska Department of Fish and Game homepage at www.adfg.ak.us.


 

Teachers’ Note: For clarification, the Number in Thousands refers to the actual number of salmon harvested - every single fish counted or estimated to be caught. It needs to be noted that the numbers have been truncated and that they are in actual thousands of fish. It is very easy for students to ignore this fact.

The graphing segment of this unit is somewhat complex. It will take students some time to do the graphing by hand, but it can be done. This activity can also be done with the graphing calculator. It makes the graphing easier and gives students some opportunity to learn or practice calculator skills.


 

Commercial Salmon Fishing

Salmon is an important resource to Alaskans. The commercial fishing of salmon is a major factor in Alaska’s economy. The following table was obtained from the Alaska Department of Fish and Game.

Year

Number of salmon harvested in thousands

Year

Number of salmon harvested in thousands

1970

68364

1985

145358

1971

47499

1986

128949

1972

31945

1987

96626

1973

22186

1988

111564

1974

21762

1989

154129

1975

26237

1990

155058

1976

44422

1991

189517

1977

50847

1992

136803

1978

82326

1993

192900

1979

88342

1994

195861

1980

109991

1995

217795

1981

113289

1996

175370

1982

111725

1997

123140

1983

127921

1998

151820

1984

133960

1999

216610

 

  1. a) Which year had the least number of fish caught?

 

 

  1. b) What was the total number of fish harvested that year?

 

 

  1. a) Which year had the greatest number of fish caught?

 

 

  1. b) How many fish were harvested that year?

 

 

  1. What is the range of the data?

 

 

  1. What is the median number of salmon harvested?

 

 

  1. Determine the mean number of salmon harvested between 1970 and 1999.

 

 

  1. Is there a mode? Why or why not?

 

 

  1. Which of these measurements best describe the average number of fish harvested from 1970 - 1999? Explain why you chose this measure of central tendency.

 

 

 

  1. Create a scatter plot of the data.

 

grid

 

  1. What units of measure best represent the x-axis?




  2. What units of measure best represent the y-axis?

 

 

  1. What is the general trend of this data?

 

 

  1. Sketch a line of best fit on the same graph as question #10. What is the approximate slope of this line?

 

 

  1. What does the slope represent?

 

 

  1. What is the y-intercept of this line?

 

 

  1. Is the y-intercept useful information? Why or why not?

 

 

  1. Use the line of best fit to predict the salmon harvest for 2002.

 

 

  1. What conclusions can be made from this scatter plot?

 

 

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