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.
- How might this data appear
in Hawaii? Why?
- How about farther north,
such as a polar research station? Why?
- How could this data be used?
- What are some practical
applications?
- What other data might you
need to make this information more relevant?
- How could you "sell" this
information to a borough?
- How might a borough use
it?
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." |
