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 SelfAssessment
for Cultural Standards in Practice.
Cutting
Cordwood
Brenda
Jones
bjones@northstar.k12.ak.us
MS
Word Download
Standards:
Functions and Relationships.
Performance
Standards:
A4.3.2, A4.3.4, A4.3.5, A4.4.2.
Concepts:
Graphing data from a table to a coordinate grid, using variables
to write algebraic equations.
Carnegie
Chapter:
Formula, Tables of Values, and Graphs.
Overview:
Two young men are earning money by cutting cords of wood.
Cutting
Cordwood
Anthony and Jacob
want to earn money to buy a new dog sled by selling cordwood to the
residents of Fort Yukon. They have determined that together they can
cut 1.8 cords of wood in an 8hour day.
 How many cords
can they cut in
 2
days?
 1
week?
 1
month?
 1
year?
 Find the
algebraic expression for this situation. Define the variables you
use.
 How many days
will it take to cut
 18
cords?
 36
cords?
 200
cords?
 What fraction
of an 8hour day is
 4
hours?
 5
hours?
 How many cords
of wood can Anthony and Jacob cut in
 4
hours?
 5
hours?
 1
hour?
 They earn $250
per cord of wood. How much will they earn by selling
 10
cords?
 20
cords?
 5
cords?
 Write an
algebraic expression for their earnings and explain your
reasoning. Define any variables.
 If they begin
next season with 10 cords already cut from the pervious season,
how many will they have after
 10
days?
 20
days?
 1
month?
 Fill in the
following chart based on the information in #8.
Labels 
Time

Cords
of Wood

Units 


Expressions 



0

10


10



20



30



25




82



118

 Use the
information in the table to complete the given graph. Label axes,
include intervals, and create a title for the graph.
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." 