uil ns and mathematics special topics session larry white box 25 millersview, tx 76862 325-483-5446...

UIL NS and Mathematics Special Topics Session

Larry WhiteBox 25

Millersview, Tx 76862325-483-5446

[email protected]

UIL State NS & Mathematics Contest Director

Be sure to ...

sign in; clean up your area when you leave; and “HAVE A GREAT DAY!”

UIL Number Sense and Mathematics

Constitution and Contest Rules (C&CR)

??? Any rules need discussing or clarified ???


A Special Problem

T

BA

C

DX

Z Z

Y


Using A Special Theorem In Plane Geometry

T

BA

C

DX

Z Z

Y

2 T = X + Y + Z2 2 2 2

or

2 T = X + Y + Z4 4 4 4



2 T = 2 + 6 + 82 2 2 2

or

2 T = 2 + 6 + 84 4 4 4

T

BA

C

D

8" 8"

2" 6"



Warren D. Smith - March 2012

This theorem was also used to solve a number theory problem about “Prouhet Tarry Excott” set pairs.


Pascal’s Triangle Clarification


row 0 1 (x+y)0

row 1 1 1 (x+y)1

row 2 1 2 1 (x+y)2

row 3 1 3 3 1 (x+y)3

row 4 1 4 6 4 1 (x+y)4

Special topics/problems/emphasis on 2012-2013 tests

1 new mathematician added this year.

Zeno of Elea

1 new special number added this year.

Harmonic number



Emphasis this year on:

Number Theory Problems (See #23 & 25 on the SAC test and #1, 2, & 3 on the back page of the SAC test.)

The 7 “trapezoidal” means (See #24 on the SAC test and #4 on the back page of the SAC test.)

Trapezoidal Means


Arithmetic Mean Geometric Mean

Harmonic Mean Heronian Mean

Contraharmonic Mean

Root-Mean-Square Centroidal Mean

Trapezoidal Means


If you have some questions, I have some answers.


HAVE A HAVE A GREAT DAY!GREAT DAY!

uil ns and mathematics special topics session larry white box 25 millersview, tx 76862 325-483-5446...

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