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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.

Writing an Equation:
Fundraiser

 

 James H. Grey
jgrey@northstar.k12.ak.us

MS Word Download

 

Standards: Functions and Relationships. 

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

Concepts: Representing relationships between variables by writing, creating, and solving linear equations, and using tables and graphing.

Carnegie Chapter: Proportional Reasoning and Percentages.

Overview: Focusing on writing and using the results of a linear equation and graphing a linear equation.


Fundraiser - Ticket Sales

Problem 7

The Junior Class has decided to show movies in order to raise money for the prom. They found that the rights to show a movie for a weekend cost $325 and feel that $5 is a fair admission price.

Please answer all questions in the form of complete sentences.

  1. How much profit will be made if they have:
    1. 100 paying customers?


    2. 264 paying customers?


    3. 512 paying customers?


    4. 40 paying customers?


    5. What methods did you use to calculate the profit?


    6. What does your answer from part D mean?
 

 

 

  1. How many customers are needed for the class to "break even?"

 

 

    1. How did you calculate this?






    2. Write an equation for profit based upon the number of people who came to the show.

 

 

 

 

 

  1. Using the formula that you just wrote, how much profit will be made if they have:
    1. 214 paying customers?



    2. 673 paying customers?



    3. 169 paying customers?
 

 

 

  1. The Junior Class needs to make $900 in order to finish paying for the prom. How many customers will they need in order to make their goal?

 

    1. What if they need $2000?



    2. What if they need $3000?



    3. What if they need $5000?
 

 

 

 

  1. One year, a group decided to show the movie, Seven Years in Tibet, and they had a very poor turnout. (In fact, the turnout was so poor that the group decided to cancel the final screening.) Assuming that they paid the standard rate for the movie, and had three screenings with twelve, three, and five customers:
    1. What was the final outcome for the group? Be sure to justify your answer.




    2. Besides the financial situation, why else might the group be frustrated with this outcome?
 

 

 

 

  1. Complete the following table that uses information from the above problems:

Labels

 

 

Units

 

 

Expressions

 

 

 

 

214

 

 

 

673

 

 

 

169

 

 

 

 

0

 

 

 

2000

 

 

 

3000

 

 

 

5000

 

 

20

 

 

 

 

 

 

  1. Using the information from the table above graph it on the axes below. Be sure to include all labels.

grid

 

 

 

 

  1. Using the graph, estimate:
    1. How many customers they will need in order to get a profit of $1000.




    2. How many customers they will need in order to get a profit of $4000.



    3. The profit generated by 250 paying customers.
 

 

 

  1. Assume that the theater can hold 200 people. What is the minimum number of screenings that you will need in order to make your goal for each part of problem 5?
a)

 

b)

 

c)

 

d)

 

 

 

 

  1. A group of six people sneaks into the movie through the back door, taking the last available seats. How much money will the class lose? (Be sure to justify your answer.)

 

 

 

 

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.

 


Alaska Native Knowledge Network
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Last modified August 18, 2006