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.
Cigarette
Smoking
Bobbi
Jordan
bew2@ptialaska.net
Adapted from
Village
Math by
Alan Dick
MS
Word Download
Standards:
Estimation and Computation, Functions and
Relationships.
Performance
Standards:
A3.3.1, A3.3.3, A3.3.4, A3.3.5, A3.4.6, A4.3.2, A4.3.4, A4.3.5,
A4.4.2
Concepts:
Computation of whole numbers, decimals, percents, figuring
percent of increase, making conversions, estimating cost and linear
graphing.
Carnegie
Chapter:
Formulas, Tables of Values, and Graphs.
Overview:
Lesson for "The Great American Smoke Out." Students analyze the
monetary cost associated with smoking. It also uses the statistic of
"for each cigarette smoked a person loses 3 minutes of his or her
life" to determine life expectancy and cost.
Cigarette
Smoking
Jason has been smoking cigarettes
since he was 13 years old. He has smoked an average of one pack of cigarettes
a day since he started smoking. A single pack of cigarettes contains 20 cigarettes.
 Given Jason’s age, find
the number of packs of cigarettes he has smoked.
 By 15 years old
 By 19 years old
 By 25 years old
 By 50 years old
 Write an expression representing
the number of packs of cigarettes smoked based on Jason’s age.
Answer the
following questions and show your work.
 If a pack of cigarettes cost
$5.50 per pack, how much does one cigarette cost?
 a) If Jason started smoking
in 1970 and continued to smoke a pack a day through 2002, how many cigarettes
will he have smoked?
 b) If cigarettes averaged
$0.27 a piece, how much money has he spent in 32 years?
 In 1970, a pack of cigarettes
cost $0.75. Today a pack of cigarettes cost about $5.50. How much has the
price increased?
 What is the percent of increase
in the cost of a pack of cigarettes over the past 32 years?
 What is the average rate
of increase for each year since 1970? Round your answer to the nearest tenth
of a percent.
 It is said that for every
cigarette smoked, a person takes 3 minutes off their life. If this is true,
how many minutes are lost if a person smokes
 1 cigarette?
 20 cigarettes? (one pack)
 100 cigarettes?
 250 cigarettes?
 Write an expression to show
the relationship between the number of cigarettes smoked and the time off
a person’s life.
 Complete the table using
the information from problem #9.
Labels 


Units 


Expressions 



1



100



1,500




11,100



18,000

 Construct a graph to show
the relationship in the table above. Label the axes, indicate the intervals
and give the graph a title.
 a) What is the slope of the
graph?
 b) Explain the meaning of
the slope.
 If for every cigarette smoked,
you took approximately 3 minutes off your life, how much time would you be
taking off if you smoked a whole pack?
 a) How would your graph change
if you changed the intervals from minutes to hours?
 b) Did the slope change?
Why or why not?
 How many cigarettes would
a person smoke before they lost one year of their life?
 Use your answer from question
15 to determine how much loosing one year of a life would cost if the cost
per pack remained at $5.50?
 If cigarettes remain at $5.50
for the next 5 years, how much would a smoker pay to be able to smoke one
pack of cigarettes per day over that time?
 a) If a person started smoking
one pack of cigarettes per day, how long would it take them to smoke 8760
packs?
 b) If a pack of cigarettes
remains at $5.50 a pack, how much money would it cost to pay for one year
off of a life?
 If cigarettes continue to
increase in cost each year at the average rate found in Problem #7, what would
it cost a smoker to smoke for 24 years if they started this year?
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." 