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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.

Firewood Problem

 

Mary Lou Smart
Southeast Island School District
msmart@sisd.k12.ak.us

 

MS Word Download

Standards: Functions and Relationships

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

Concepts: Creating a table of ordered pairs, variables (dependent and independent), writing equations

Carnegie Chapter: Formulas, Tables of Values, and Graphs

Overview: The student will write and solve equations for the cost of firewood by the cord, then use this information to develop tables of values and graph their equations.


 

Firewood

Task 1

A neighbor charges $110.00 for each cord of firewood plus a $50.00 delivery fee.

  1. What will the neighbor charge for delivering:
    1. 3 cords?


    2. 5 and one half cords?


    3. Write a complete sentence describing how you found these answers.

     

 

  1. Write an algebraic equation for this problem. Define any variables.
    1. Total cost of firewood =

 

 

  1. Write an equation you can use to find out how many cords of firewood you would receive if the neighbor charged you $875.00. Solve this equation, showing your work, and write your answer in a complete sentence. Write a sentence describing how you solved the equation.

 

 

 

  1. Write an equation you can use to find out how many cords of firewood you would receive if the neighbor charged you $270.00. Solve this equation, showing your work, and write your answer in a complete sentence. Write a sentence describing how you solved the equation.

 

 

 

 

  1. Write an equation you can use to find out how many cords of firewood you would receive if the neighbor charged you $1,370.00. Solve this equation, showing your work, and write your answer in a complete sentence. Write a sentence describing how you solved the equation.

 

 

 

 

  1. Use the information from questions 1-5 to complete this table.

Labels

 

 

Units

 

 

Expressions

 

 

 

 

 

380

 

 

 

655

 

 

7.5

 

 

 

2

 

 

 

12

 

 

 

  1. Graph the equation for this problem situation. Label and choose an appropriate scale for each axis.
graph
Click on image for a larger view

 

 


Firewood

Task 2

Your neighbor's son has volunteered to stack the firewood for $10.00 per hour. He can stack 1 and one half cords an hour.

  1. What will you be charged for stacking: (Round to the nearest cent.)
    1. 3 cords?


    2. 5 and one-half cords?


    3. Write a complete sentence describing how you found these answers.



    4. Write an algebraic equation for this problem situation. Define any variables.

      Cost of stacking wood =

 

  1. Using the information from Task 1 write an algebraic equation for the total cost of the firewood delivered and stacked.

    Total cost of delivered and stacked firewood =

 

 

  1. The total cost for delivered and stacked firewood from your neighbor was $1,100. How much firewood did you receive?

 

 

  1. Use the information from questions 1-3 to complete this table to show the total cost of delivered and stacked firewood.

 

Labels

 

 

Units

 

 

Expressions

 

 

 

 

3

 

 

 

5.5

 

 

 

 

1100

 

 

 

575

 

 

 

750

 

 

  1. Graph the equation for this problem situation. Choose appropriate scales for the axes and label them.

grid

 

  1. Looking at the graph, what would be the approximate cost of 9.5 cords of firewood delivered and stacked?

 

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