"It is clear that the chief
end of mathematical study must be to make the students
think."—John Wesley

110716
to
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This is
the 12^{th} week of school and the 4^{th}
week of the 2^{nd} 9weeks grading period.
THANKS TO EVERYONE WHO CONTRIBUTED TO THE CAN THE
COUGARS FOOD DRIVE. WHILE WE DIDN’T BEAT CANYON,
OUR SCHOOL BROUGHT IN A RECORD AMOUNT! MS. WYLIE
WON FOR THE SOPHOMORES, MS. LINCOLN WON FOR THE
JUNIORS, AND I WON FOR THE SENIORS AND OVERALL BY A
9 CAN MARGIN. EVERY LITTLE BIT HELPED!!! WE WILL
ALL BE SLIMED AT A FUTURE DATE TO CELEBRATE THE
VICTORIES!!!
THE SECOND MATH CLUB MEETING OF THE YEAR WILL BE
THIS TUESDAY, NOVEMBER 8^{TH} FROM 45PM IN
MY CLASSROOM, 903. ALL STUDENTS INTERESTED IN MATH
ARE WELCOME TO ATTEND! WE WILL BE DECIDING ON A
TSHIRT DESIGN!
Check
out
THIS LINK for opportunities to contribute to
Project Graduation simply by eating at some of NB’s
finest restaurants!
A
reminder that if any student is absent, they are
expected to watch the video of that day’s lecture,
found in the
shared google folder, so that they are up to
speed when they return. ALSO… I am in my room each
school day by 7AM to assist any student needing
extra help or for any student who is simply looking
for a quite place to study.
NBHS Athletics Calendar
This week on campus

Monday, November 07, 2016
Happy Notary Public Day!
New
Braunfels Golf vs Willow Springs
Tuesday, November 08, 2016
HAPPY ELECTION DAY!
Math Club
Meeting in 903, 45 PM
Wednesday, November 09, 2016
Happy Carl Sagan Day!
New
Braunfels Golf vs Falconhead
STUCO Blood
Drive
HOSA meeting
in Library, 45 PM
Driver’s Ed
meeting in Library, 6:30 PM
Thursday, November 10, 2016
Happy US Marine Corps Day!
Winterguard
auditions, 6 PM
Wrestling
Blue v Gray, 6 PM
Veteran’s
Day Band Concert, 6 PM
Friday, November 11, 2016
Happy Veterans Day!
Girl’s
Basketball v Seguin (home), 7 PM
Swimming
Invitational at Northside
Saturday, November 12, 2016
Happy Chicken Soup for the Soul Day!
CROSS COUNTRY STATE MEET in Round Rock
FB playoff v Brennen, 7:30
Boys Basketball Scrimmage at Henderson
Saturday School in Library, 812
Sunday, November 13, 2016
Happy National Mom’s & Dad’s Day! 
This week in the classroom . . .
(All chapter
headings are from Korpi’s online curriculum, found at
www.korpisworld.com)
PreAP Precal
MONDAY, NOVEMBER 07, 2016
Content Objective:
TOOTLIFTST: find zeros of
polynomials
Activity/Lessons:
NOTES 3.2
Check for Understanding:
WS 3.2

TUESDAY, NOVEMBER 08, 2016
Content Objective:
TOOTLIFTST: TEST 3.13.2
Activity/Lessons:
TEST 3.13.2
Check for Understanding:
TEST 3.13.2

WEDNESDAY, NOVEMBER 09, 2016
Content Objective:
TOOTLIFTST: use the IVT to find
yvalues
Activity/Lessons:
NOTES 3.3
Check for Understanding:
WS 3.3

THURSDAY, NOVEMBER 10, 2016
Content Objective:
TOOTLIFTST: use the IVT to find
yvalues
Activity/Lessons:
NOTES 3.3
Check for Understanding:
WS 3.3

FRIDAY, NOVEMBER 11, 2016
Content Objective:
TOOTLIFTST: find complex zeros
Activity/Lessons:
NOTES 3.4
Check for Understanding:
WS 3.4


AP Calculus AB
MONDAY, NOVEMBER 07, 2016
Content Objective:
TOOTLIFTST: differentiate inverse
functions
Activity/Lessons:
Notes 2.8
Check for Understanding:
WS 2.8

TUESDAY, NOVEMBER 08, 2016
Content Objective:
TOOTLIFTST: TEST 2.12.8
Activity/Lessons:
TEST 2.12.8
Check for Understanding:
TEST 2.12.8

WEDNESDAY, NOVEMBER 09, 2016
Content Objective:
TOOTLIFTST: differentiate
exponential functions
Activity/Lessons:
Notes 2.9
Check for Understanding:
WS 2.9

THURSDAY, NOVEMBER 10, 2016
Content Objective:
TOOTLIFTST: differentiate log
functions
Activity/Lessons:
Notes 2.10
Check for Understanding:
WS 2.10

FRIDAY, NOVEMBER 11, 2016
Content Objective:
TOOTLIFTST: differentiate log
functions
Activity/Lessons:
Notes 2.10
Check for Understanding:
WS 2.10


AP Calculus BC
MONDAY, NOVEMBER 07, 2016
Content Objective:
TOOTLIFTST: determine local extrema
Activity/Lessons:
Notes 3.3
Check for Understanding:
WS 3.3

TUESDAY, NOVEMBER 08, 2016
Content Objective:
TOOTLIFTST: TEST 2.13.3
Activity/Lessons:
TEST 2.13.3
Check for Understanding:
TEST 2.13.3

WEDNESDAY, NOVEMBER 09, 2016
Content Objective:
TOOTLIFTST: determine concavity of
functions
Activity/Lessons:
Notes 3.4
Check for Understanding:
WS 3.4

THURSDAY, NOVEMBER 10, 2016
Content Objective:
TOOTLIFTST: determine concavity of
functions
Activity/Lessons:
Notes 3.4
Check for Understanding:
WS 3.4

FRIDAY, NOVEMBER 11, 2016
Content Objective:
TOOTLIFTST: sketch graphs using f,
f’, f’’
Activity/Lessons:
Notes 3.5
Check for Understanding:
WS 3.5


This week on the Math Playground . . .
MATH BIO:
Eratosthenes
(276194 BC) was a Greek mathematician, astronomer,
poet, athlete, geographer, and professional librarian.
As the chief librarian of the Library of Alexandria (the
center of all knowledge of the day), he made several
discoveries and inventions including a system of
latitude and longitude and musical scales. His other
contributions include the following:

The Sieve of
Eratosthenes as a way of finding prime numbers.

The measurement of
the SunEarth distance, now called the astronomical
unit (804,000,000 stadia, 1 stadion varies from 157
to 209 meters).

The measurement of
the distance to the Moon (780,000 stadia).

The approximate angle
of the tilt of the earth.

He compiled a star
catalogue containing 675 stars, which was not
preserved.

A map of the Nile's
route as far as Khartoum.

A map of the entire
known world, from the British Isles to Ceylon, and
from the Caspian Sea to Ethiopia.

Invented the leap
day.
He was ALSO
the first Greek to calculate the circumference of the
earth (with remarkable accuracy). Eratosthenes was also
the founder of scientific chronology; he was the first
to try to arrange historical events in chronological
order. We still use his dates for most of ancient
history.
In his time,
the known world extended from Spain to India.
Eratosthenes believed that a vast ocean covered the rest
of the world. If it weren’t for the enormity of the
ocean, he thought it would be possible to sail from
Spain to India by heading west. It was this idea that
inspired Christopher Columbus to undertake his famous
voyage in 1492.
Other
scientists during his time nicknamed him “Beta,” and it
wasn’t because he was the coolest guy in his
fraternity. Eratosthenes had so many interests that his
contemporaries considered him a dabbler; to them, he was
secondclass, a beta (although Eratosthenes turned it
around by saying he was the “second best” in any field
during his time.)
MATH FACT:
How did
Eratosthenes approximate the circumference of the
earth? Pure genius. Eratosthenes knew of a special
well near Syene, Egypt. At noon on June 21^{st},
the longest day of the year (summer solstice), the sun’s
rays penetrated all the way to the bottom of the well,
meaning that the sun was directly overhead. He realized
that if the sun was directly overhead in Syene, then its
rays must be hitting at an angle in Alexandria, which
was due north (same meridian). If he could measure the
angle by which the sun was off center, then he would
have the clue he needed to extrapolate the size of the
earth. So, at noon on June 21 in Alexandria, he took a
measuring stick and captured the angle cast by its
shadow.
Eratosthenes
knew that the angle of the shadow was equivalent to the
angle formed by the two cities and the center of the
earth. So, he divided the size of that angle by 360,
the number of degrees in a circle, to determine the
fraction of the earth that separated the two cities.
The answer was onefiftieth. In other words, if you
walked back and forth between Syene and Alexandria fifty
times, then you would have walked the equivalent of the
earth’s circumference.
All that
remained was to measure the precise distance between the
two cities. For this, Eratosthenes hired a pacer, a
professional walker trained in taking perfectly equal
steps. From the measurements of the pacer (about 5,000
stadia), Eratosthenes estimated the circumference of
earth to be 24,700 miles. Today, using the exact same
principles developed by Eratosthenes 2,000 years ago,
modern instruments estimate the distance around the
equator to be 24,902 miles.
Here’s a nice video describing the process as explained by Carl Sagan. Got 7
minutes?
MATH QUOTE:
[Eratosthenes]
... is a mathematician among geographers, and yet a
geographer among mathematicians; and consequently on
both sides he offers his opponents occasions for
contradiction.—H.L.
Jones, geographer, circa 1917
Are you SURE
you took equal steps and kept good count? Remember, I’m
waiving your library fine of 3 drachma for your overdue
book “How to walk and chew gum at the same time.”—Eratosthenes
to his hired pacer upon his return
LIMERICK:
Alexandria's
polymath Greek
Read from shadows' small angles, oblique
To a tower at noon
(21st day in June),
The whole size of the Earth—so to speak!
AND
The Greek
Eratosthenes
Found with the
greatest of ease
The actual
girth
Of our great
planet earth
Plus or minus
a couple degrees.
Have a great
week,
Kevin W.
Korpi
New Braunfels
High School
www.korpisworld.com
kkorpi@nbisd.org
