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

 

11-07-16

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11-11-16

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This is the 12th week of school and the 4th week of the 2nd 9-weeks 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 8TH FROM 4-5PM IN MY CLASSROOM, 903.  ALL STUDENTS INTERESTED IN MATH ARE WELCOME TO ATTEND! WE WILL BE DECIDING ON A T-SHIRT 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

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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, 4-5 PM

 

Wednesday, November 09, 2016

Happy Carl Sagan Day!

New Braunfels Golf vs Falconhead

STUCO Blood Drive

HOSA meeting in Library, 4-5 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, 8-12

 

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 3.1-3.2

 

Activity/Lessons:

TEST 3.1-3.2

 

Check for Understanding:

TEST 3.1-3.2

 

WEDNESDAY, NOVEMBER 09, 2016

 

Content Objective:

TOOTLIFTST: use the IVT to find y-values

 

Activity/Lessons:

NOTES 3.3

 

Check for Understanding:

WS 3.3

 

THURSDAY, NOVEMBER 10, 2016

 

Content Objective:

TOOTLIFTST: use the IVT to find y-values

 

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 2.1-2.8

 

Activity/Lessons:

TEST 2.1-2.8

 

Check for Understanding:

TEST 2.1-2.8

 

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 2.1-3.3

 

Activity/Lessons:

TEST 2.1-3.3

 

Check for Understanding:

TEST 2.1-3.3

 

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 (276-194 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 Sun-Earth 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 second-class, 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 21st, 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 one-fiftieth.  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

 

 

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Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.--W.S. Anglin

 

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Caricatures done by Thomas Korpi

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