High School Mathematics Problems from Alaska
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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.
- What will the
neighbor charge for delivering:
- 3
cords?
- 5 and one
half cords?
- Write a
complete sentence describing how you found these
answers.
- Write an
algebraic equation for this problem. Define any variables.
- Total cost
of firewood =
- 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.
- 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.
- 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.
- Use the
information from questions 1-5 to complete this table.
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Units |
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Expressions |
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380
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655
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7.5
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2
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12
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- Graph the
equation for this problem situation. Label
and choose an appropriate scale for each axis.
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.
- What will you
be charged for stacking: (Round to the nearest cent.)
- 3
cords?
- 5 and
one-half cords?
- Write a
complete sentence describing how you found these
answers.
- Write an
algebraic equation for this problem situation. Define any
variables.
Cost
of stacking wood =
- 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 =
- The total cost
for delivered and stacked firewood from your neighbor was $1,100.
How much firewood did you receive?
- Use the
information from questions 1-3 to complete this table to show the
total cost of delivered and stacked firewood.
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Units |
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Expressions |
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3
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5.5
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1100
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575
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750
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- Graph the
equation for this problem situation. Choose
appropriate scales for the axes and label them.
- Looking at the
graph, what would be the approximate cost of 9.5 cords of firewood
delivered and stacked?
Table of
Contents
For the Teacher's Guides, please email Alaska
Native Knowledge Network
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." |
