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Native Pathways to Education
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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.

Dog Lot Math

 

Bobbi Jordan
bew2@ptialaska.net

Adapted from Village Math by Alan Dick

MS Word Download

Standards: Estimation and Computation, Functions and Relationships and Geometry.

Performance Standards: A3.3.4, A.4.3.2, A.4.3.4, A5.4.6

Concepts: Linear graphing, Finding slope, Relationship of x and y on a graph, and Comparing 2 lines on the same graph.

Carnegie Chapter: Formulas, Tables of Values, Graphs.

Overview: Frank has 17 dogs for his dog sled team. He has to determine cost of feeding the dogs during the winter and summer months when using commercially produced dog food.

Extensions: Determine the cost for the entire year with and without harvesting "dog salmon."


 

 

Dog Lot Math - Adapted from Alan Dick’s Village Math submissions.

 

Part I

Frank has 17 dogs that he has to feed during the year. Sacks of dog food cost Frank $12 each. During the summer months (May - September), each bag of dog food lasts 5 days.

 

  1. How much will Frank spend after
    1. 5 days?


    2. 20 days?


    3. 27 days?


    4. 35 days?

       

  2. Write an expression to represent how much money Frank will spend to feed his dogs during the summer. Define any variables you use.

     

     

     

  3. Complete the table.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

5

 

 

 

20

 

 

 

30

 

 

 

 

96

 

 

 

252

 

  1. Construct a graph showing how much Frank will spend to feed his dogs during the summer. Label all axes and intervals and give your graph a title

graph 

 

  1. If each month is counted as 30 days, how much will Frank spend to feed his dogs the entire month?  

 

  1. If Frank spent $288 on dog food, how many sacks of dog food did he buy and how long would it last?

 

 

 


Part II

During the winter months (October - April), Frank continues to buy sacks of dog food to feed his dogs. Bags only last 4 days in the winter.

  1. How much will Frank spend after
    1. 12 days?


    2. 36 days?


    3. 52 days?


    4. 108 days?

       

     

  2. Write an expression to represent the amount of money that Frank will spend during the winter months to feed his dogs. Define any variables.

     

     

     

     

  3. Complete the table.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

8

 

 

 

32

 

 

 

40

 

 

 

 

36

 

 

 

180

 

 

 

228

 

 

 

  1. Graph the table from Part II in the same graph as Part I.

 

 

 

  1. What do you notice about the graphs of the two lines?

 

 

 

  1. Which line is steeper?

 

 

 

  1. Find the slope of each line.

 

 

 

  1. What does the slope represent in each graph?

 

 

 

  1. What does Frank spend per day
    1. During the winter?



    2. During the summer months?

     

 

  1. How do your answers to question 9 relate to the slope?

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