Mr. Hansen’s Abbreviations, Part III

(rev. 4/22/2004, 11/10/2004, 2/3/2005, 5/20/2005, 11/17/2005, 5/31/2009, 9/7/2010)

Part III: STA abbreviations, nonstandard abbreviations, or inventions of Mr. Hansen:

ABT

Angle Bisector Theorem (in any triangle, the side opposite a bisected angle is split in the same ratio as the lengths of the respective adjacent sides)

Angle Half SAD, or Angle Half SumArDiff

This is a memory aid for remembering angle-arc theorems in geometry. The key is the location of the angle’s vertex.
1. An angle with vertex inside the circle (i.e., a chord-chord angle) equals HALF THE SUM of arcs.
2. An angle with vertex on the circle (i.e., an inscribed or tangent-chord angle, as long as neither ray goes beyond being tangent) equals HALF THE ARC that is intercepted.
3. An angle with vertex outside the circle (i.e., a secant-secant angle, secant-tangent angle, or tangent-tangent angle) equals HALF THE DIFFERENCE of arcs.

BABS

Bigger Angle, Bigger Side: In any triangle, the biggest angle is opposite the biggest side, and the smallest angle is opposite the smallest side. A corollary is that the hypotenuse is the longest side in any right triangle, since the hypotenuse is opposite the largest angle, namely the 90-degree angle.

BAILC

Base Angles Iff Legs Congruent (a.k.a. ITT)

Big 3

the major trig functions found on a calculator (sine, cosine, and tangent)

calc-o

calculator keystroke error

CASA, Casar

Congruent And Supplement Angles Þ Right

CBC

calculator boot camp (you did not use your calculator correctly or to good advantage)

c.d.

common denominator

CFU

check for understanding (a quiz, usu. ungraded)

CIRC

circular logic

CR, CRI

*chain rule, chain rule for integrals

CSSFP, CSSTP

Corresponding Sides of Similar Figures (resp., Triangles) are in Proportion; abbreviations independently invented in Feb. 2003 by Zach W. (D period) and the E period Class of 2006

Dep-Scribble-
SwykEA

method for doing word problems involving functions: define the Dependency (what depends on what), Scribble a rough sketch, make a better sketch that Shows What You Know, write an Equation, and Apply the equation

DOAPS

**Distribution Of All Possibilities for a Statistic. The technical name for this concept is “sampling distribution,” but most students find the term “sampling distribution” difficult to understand without some sort of memory aid. On your AP exam, be sure to write “sampling distribution,” since nobody outside STA has ever heard of DOAPS.

ECF

error carried forward (usu. no penalty, as opposed to NCWEE)

eoe, eoo

every other even, every other odd (used when assigning HW problems)

EOTR

economy of thought recommended (i.e., you have written too much)

ESM

equal sign misuse

FC

freshman cancellation

House Rule

the rule, named by the F period Class of 2008 in November 2005, that allows one to “pull down” the exponent involved in a logarithmic expression (more formally, log xy = y log x); see also LPSL, LQDL

IOU

island of uncertainty

ITT

Isosceles Triangle Theorem (a.k.a. BAILC)

LPSL, LQDL

log of a product is the sum of logs, log of a quotient is the difference of logs (note: there is no rule for log of a sum or log of a difference!)

LSRL

**least-squares regression line; this abbrev. is standard enough that you can use it on the AP exam and probably be understood

MEAU / IMI

mutually exclusive probabilities can be added in a union; independent probabilities can be multiplied in an intersection

mo3, mo4, etc.

multiples of 3, multiples of 4, etc. (used when assigning HW problems)

MODE

wrong calculator mode (usu. degrees vs. radians, or vice versa)

NCN

no calculator notation allowed in written work (e.g., 5.236E–4 should be written as 5.236 ´ 10–4 or, better, yet, as 0.0005236)

NCWEE

not consistent with earlier error (the opposite of ECF)

NR

not reasonable, or not a true mathematical fact; e.g., (a + b)2 does not equal a2 + b2, but sometimes students act as if it does

NSBD

not supported by diagram

NSBW, NSW

not supported by work, not sufficient work

NSN, NST

no such notation, nonstandard notation, no such term, nonstandard terminology

OAP

other answer(s) possible

OOME

order-of-magnitude error

PBC

penmanship boot camp (illegible)

PBT

Perpendicular Bisector Theorem (a.k.a. Equidistance Theorem): In a plane, point C is equidistant from points A and B iff C lies on the ^ bisector of segment AB.

PEMDAS

error in order of operations (parens, exponentiation, mult./div., addition/subtr.)

PHA(S)TPC

**Please Help All Students To Pass Calculus (memory aid for hypothesis testing procedures)

PPME

power of a power (multiply exponents)

PR

*product rule for derivatives

PRAE

product rule for adding exponents

QR

*quotient rule for derivatives

QRSE

quotient rule for subtracting exponents

RAWQ

right answer, wrong question

RAWR

right answer, wrong reason

ROO

region of overlap (solution to a compound locus problem); abbreviation coined by Justin G., Class of 2008

rounding

error caused by rounding final result improperly, by rounding too soon and losing accuracy, or by failing to detect calculator underflow or overflow

SCO

spot-checked only

SRP

strongly recommended problem

SSOT

same side of the transversal

SSP-SAC

(pronounced “Sip Sack”)
Similar Sides are in Proportion; Similar Angles are Congruent.

SWYK

show what you know

TBNEH

true but not especially helpful

TTT

Two-Tangent Theorem (tangent segments that meet at a coplanar point external to the circle are congruent)

unk. param.

**unknown parameter (“Known Only To The Almighty”)

VHA(S)TPC

**Very Hairy Apes Sometimes Trash People’s Cars (now called PHA(S)TPC)

WAWQ

wrong answer to the wrong question (i.e., you misunderstood the question, but your answer was incorrect even after accounting for that misunderstanding)

WNFFC

work needed for full credit

WNFPC

work needed for partial credit

* Calculus only.
** Statistics only.