High School Mathematics Problems from Alaska
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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.
 How much will
Frank spend after
 5
days?
 20
days?
 27
days?
 35
days?
 Write an
expression to represent how much money Frank will spend to feed
his dogs during the summer. Define any variables you use.
 Complete the
table.
Labels



Units



Expressions




5



20



30




96



252

 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
 If each month
is counted as 30 days, how much will Frank spend to feed his dogs
the entire month?
 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.
 How much will
Frank spend after
 12
days?
 36
days?
 52
days?
 108
days?
 Write an
expression to represent the amount of money that Frank will spend
during the winter months to feed his dogs. Define any
variables.
 Complete the
table.
Labels



Units



Expressions




8



32



40




36



180



228

 Graph the table
from Part II in the same graph as Part I.
 What do you
notice about the graphs of the two lines?
 Which line is
steeper?
 Find the slope
of each line.
 What does the
slope represent in each graph?
 What does Frank
spend per day
 During
the winter?
 During the
summer months?
 How do your
answers to question 9 relate to the slope?
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." 