"It is clear that the chief end of mathematical study must be to make the students think."—John Wesley Young
Korpi’s Monday Mail
2-06-12
to
2-10-12

Good morning everyone.
This is the 23rd week of school and the fourth week of the 4th six-weeks grading period.
This week’s ANNOUNCEMENTS . . .
· Advanced Placement Testing Online Registration window will be open from January 9 to March 9? The web address is www.TotalRegistration.net/AP/445055.
This week in the classroom . . .
(All chapter headings are from Korpi’s online curriculum, found at www.korpisworld.com)
PreAP Precal
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Monday, february 6, 2012 Content Objective/Topic: Graphs of the non-sinusoidal trig functions
Procedure/Activities: Notes 5.6
Check for Understanding/Assessment: WS 5.6
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Tuesday, february 7, 2012 Content Objective/Topic: Graphs of the non-sinusoidal trig functions
Procedure/Activities: Notes 5.6
Check for Understanding/Assessment: WS 5.6
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Wednesday, February 8, 2012 Content Objective/Topic: Inverse Trig Functions
Procedure/Activities: Notes 5.6
Check for Understanding/Assessment: WS 5.6
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Thursday, February 9, 2012 Content Objective/Topic: Inverse Trig Functions
Procedure/Activities: Notes 5.6
Check for Understanding/Assessment: WS 5.6
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Friday, February 10, 2012 Content Objective/Topic: Inverse Trig Functions
Procedure/Activities: Notes 5.6
Check for Understanding/Assessment: WS 5.6
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AP Calculus AB
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Monday, february 6, 2012 Content Objective/Topic: Retest
Procedure/Activities: Retest
Check for Understanding/Assessment: Retest
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Tuesday, february 7, 2012 Content Objective/Topic: The Fundamental Theorem of Calculus
Procedure/Activities: Notes 6.3
Check for Understanding/Assessment: WS 6.3
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Wednesday, February 8, 2012 Content Objective/Topic: The Fundamental Theorem of Calculus
Procedure/Activities: Notes 6.3
Check for Understanding/Assessment: WS 6.3
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thursday, February 9, 2012 Content Objective/Topic: The Mean Value Theorem for Integrals
Procedure/Activities: Notes 6.3
Check for Understanding/Assessment: WS 6.3
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friday, February 10, 2012 Content Objective/Topic: The Mean Value Theorem for Integrals
Procedure/Activities: Notes 6.3
Check for Understanding/Assessment: WS 6.3
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AP Calculus BC
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Monday, february 6, 2012 Content Objective/Topic: Volumes by Shell and Cross Sections
Procedure/Activities: Notes 8.3
Check for Understanding/Assessment: WS 8.3
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Tuesday, february 7, 2012 Content Objective/Topic: Volumes by Shell and Cross Sections
Procedure/Activities: Notes 8.3
Check for Understanding/Assessment: WS 8.3
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Wednesday, February 8, 2012 Content Objective/Topic: Arc Length
Procedure/Activities: Notes 8.4
Check for Understanding/Assessment: WS 8.4
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thursday, February 9, 2012 Content Objective/Topic: L’Hopital’s Rule and Indeterminate Forms
Procedure/Activities: Notes 8.5
Check for Understanding/Assessment: WS 8.5
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friday, February 10, 2012 Content Objective/Topic: L’Hopital’s Rule and Indeterminate Forms
Procedure/Activities: Notes 8.5
Check for Understanding/Assessment: WS 8.5
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This week on Campus . . .
Monday, February 6
8:00 Men’s Golf (2nd Team) at
NEISD Spring Classic-Olmos Park, SA
5:00 Varsity Baseball Scrimmage vs
Pflugerville-Away
5:00 JVb Baseball Scrimmage vs
Pflugerville-Home
6:00 Varsity Softball vs Medina
Valley-Away
7:00 Project Graduation Parent Meeting-Buddy’s Backyard
Tuesday, February 7
JV
Tennis at San Marcos Tournament
8:00 Men’s Golf (3rd Team) at NISD
Tournament-Northcliffe, Schertz
8:15 Youth Leadership New Braunfels Field Trip-Business & Economic Development
10:00 District Principals Meeting-Ed. Center
5:00 JV Baseball Scrimmage vs
Pflugerville-Home
5:00/7:00 Girls Soccer vs Canyon
(JV/V)-Away
5:00/7:00 Boys Soccer vs
Fredricksburg (JV/V)-Home
5:30/5:30/6:45/7:00
Girls Basketball vs Wagner (9thA/JV/9thB/V)-Home
5:30/5:30/6:45/7:00
Boys Basketball vs Wagner (9thA/JV/9thB/V)-Away
7:00 Winter Band Concert-NBHS Auditorium
Wednesday, February 8
9:30 Counselor/Admin. Meeting-Conference Room
4:05 Department Chair Meeting-Career Center
Thursday, February 9
Bowling
Match-Fiesta Lanes
8:00
French Club Meeting-Rm #204
12:00 City Council PTA Meeting-Ed. Center
4:00
French Club Meeting-Rm #204
Friday, February 10
Tennis at NEISD Tourney
Swimming at Regional Championship-Davis
Natatorium
Varsity
Wrestling at Regional Tourney-Littleton Gym
4:30/5:00 Girls Soccer vs Clark
(JV/V)-Home
4:30 Varsity Baseball Scrimmage vs
Johnson-Home
5:30/5:30/6:45/7:00
Boys Basketball vs Seguin (9thA/JV/9thB/V)-Home
7:00
Varsity Boys Soccer vs Clark-Home
Saturday, February 11
Tennis at NEISD Tourney
Varsity
Wrestling at Regional Tourney-Littleton Gym
10:00 JVb Baseball Scrimmage vs
Reagan-Home
10:00 JV Baseball Scrimmage vs
Johnson-Away
12:00/1:30
JV Boys Soccer vs Clark (JVb/JVw)-Away
6:00 Softball Scrimmage vs
O’Connor/Southwest-Here
Sunday, February 12
This week on the Math Playground . . .
MATH BIO:
George
Atwood (1745 – 1807) was an
English mathematician who invented a machine for illustrating the effects of
Newton's first law of motion. He was also a renowned chess player whose skill
for recording many games of his own and of other players, including
François-André Danican Philidor, the leading master of his time, left a valuable
historical record for future generations.
Atwood was born in Westminster, where he attended Westminster School and in 1765 was admitted to Trinity College, Cambridge. He graduated in 1769 with the rank of third wrangler and was awarded the inaugural first Smith's Prize. Subsequently he became a fellow and a tutor of the college and in 1776 was elected a fellow of the Royal Society of London.
In 1784 he left Cambridge and soon afterwards received from William Pitt the Younger the office of patent searcher of the customs, which required but little attendance, enabling him to devote a considerable portion of his time to mathematics and physics.
George Atwood died unmarried in Westminster at the age of 61, and was buried there at St. Margaret's Church.
Over a century later, a lunar crater was renamed Atwood in his honor.
MATH FACT:
The Atwood machine (or Atwood's machine) was invented in 1784 by George Atwood as a laboratory experiment to verify the mechanical laws of uniformly accelerated motion. Atwood's machine is a common classroom demonstration used to illustrate principles of physics, specifically mechanics.
The ideal Atwood Machine consists of two objects of mass m1 and m2, connected by an inelastic massless string over an ideal massless pulley.
When m1 = m2, the machine is in neutral equilibrium regardless of the position of the weights. When m1 ≠ m2 both masses experience uniform acceleration.
Atwood's machines can be pretty hairy. But no matter how complicated they get, there are only two things you need to do to solve them: (1) Write down the F=ma equations for all the masses (which may involve relating the tensions in various strings), and (2) relate the accelerations of the masses, using the fact that the lengths of the various strings don't change (also known as "conservation of string").
Fnet = F - f = (m2 - m1)g - f = ma = (m1 + m2 + meq)a
MATH QUOTE:
“What kind of scale compares the weight of two beauties, the gravity of duties, or the ground speed of joy? Tell me, what kind of gage can quantify elation? What kind of equation could I possibly employ?”—Ani DiFranco
“Someone told me that each equation I included in the book would halve the sales.”—Stephen Hawking
LIMERICK:
It may seem, with the angst it can bring,
That an Atwood's machine's a harsh thing.
But you just need to say
That F is
ma,
And use conservation of string!