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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.

Extensions of Data:
Barrow, Alaska Sunrise/Sunset Information
(Problem Six)

 

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

MS Word Download

Standards: Geometry, Estimation and Computation, Functions and Relationships, Statistics/Probability, Problem-Solving, Communication, Reasoning. 

Performance Standards: A5.4.1, A5.3.3, A5.4.3, A5.3.5, A5.4.5, A5.3.6, A5.4.6, A5.4.7, A3.4.1, A4.3.2, A4.3.4, A6.3.2, A6.3.4, A6.4.5, B1.4.1, B1.3.3, C1.3.3, D1.4.1, D1.4.2, D1.4.3

Concepts: Using given data to extrapolate new information, using a linear equation to predict later behavior, and using previous knowledge to synthesize new conjectures

Carnegie Chapter: No corollary, perhaps after doing work on linear equations.

Overview: Focusing on synthesis and extrapolations from a given set of data and previous knowledge.

 

Teacher Notes: This does not have a specific slot in the existing Carnegie hierarchy, but could be included with a culminating lesson in linear equations.

This activity might be easier if you have a globe available for your students to use. You may also want your students to access the following websites in order to get some data for comparison:

http://www-das.uwyo.edu/cgi-bin/sun?ID=PABR&DATE=cyear

http://aa.usno.navy.mil/

Be aware of multiple ways to calculate slope in this problem.


Extensions of Data from Barrow, Alaska Sunrise/Sunset Information (Problem Six)

Avaiyak has collected the following sunrise information for Barrow, Alaska:

 

Date

Day

Azimuth (Rise/Set)

Azimuth Range

Altitude Range

Jan 23

23

174.3/185.9

11.6

0.6

Jan 24

24

169.5/190.8

21.3

0.8

Jan 25

25

165.9/194.0

28.1

1.0

Jan 26

26

163.2/196.8

33.6

1.3

Jan 27

27

160.8/199.4

38.6

1.5

Jan 28

28

158.6/201.5

42.9

1.7

Jan 29

29

156.6/203.6

47.0

2.0

Jan 30

30

154.7/205.5

50.8

2.2

Jan 31

31

152.7/207.4

54.7

2.5

Feb 1

32

151.0/209.3

58.3

2.7

 

 

Answer the following questions using complete sentences.

  1. How might this data appear in Hawaii? Why?

 

 

    1. How about farther north, such as a polar research station? Why?

 

 

  1. How could this data be used?

 

 

    1. What are some practical applications?




    2. What other data might you need to make this information more relevant?
 

 

 

  1. How could you "sell" this information to a borough?

 

 

    1. How might a borough use it?

 

 

 

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.

 


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Last modified August 18, 2006