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Native Pathways to Education
Alaska Native Cultural Resources
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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.

Cutting Cordwood


Brenda Jones

MS Word Download


Standards: Functions and Relationships.

Performance Standards: A4.3.2, A4.3.4, A4.3.5, A4.4.2.

Concepts: Graphing data from a table to a coordinate grid, using variables to write algebraic equations.

Carnegie Chapter: Formula, Tables of Values, and Graphs.

Overview: Two young men are earning money by cutting cords of wood.



Cutting Cordwood

Anthony and Jacob want to earn money to buy a new dog sled by selling cordwood to the residents of Fort Yukon. They have determined that together they can cut 1.8 cords of wood in an 8-hour day.

  1. How many cords can they cut in
    1. 2 days?

    2. 1 week?

    3. 1 month?

    4. 1 year?


  2. Find the algebraic expression for this situation. Define the variables you use.



  1. How many days will it take to cut
    1. 18 cords?

    2. 36 cords?

    3. 200 cords?


  2. What fraction of an 8-hour day is
    1. 4 hours?

    2. 5 hours?


  3. How many cords of wood can Anthony and Jacob cut in
    1. 4 hours?

    2. 5 hours?

    3. 1 hour?


  4. They earn $250 per cord of wood. How much will they earn by selling
    1. 10 cords?

    2. 20 cords?

    3. 5 cords?


  5. Write an algebraic expression for their earnings and explain your reasoning. Define any variables.



  1. If they begin next season with 10 cords already cut from the pervious season, how many will they have after
    1. 10 days?

    2. 20 days?

    3. 1 month?


  2. Fill in the following chart based on the information in #8.






Cords of Wood






































  1. Use the information in the table to complete the given graph. Label axes, include intervals, and create a title for the graph.


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."



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