![Page 1: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/1.jpg)
UIL NS and Mathematics Special Topics Session
Larry WhiteBox 25
Millersview, Tx 76862325-483-5446
UIL State NS & Mathematics Contest Director
![Page 2: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/2.jpg)
Be sure to ...
sign in; clean up your area when you leave; and “HAVE A GREAT DAY!”
![Page 3: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/3.jpg)
UIL Number Sense and Mathematics
Constitution and Contest Rules (C&CR)
??? Any rules need discussing or clarified ???
UIL NS and Mathematics Special Topics Session
![Page 4: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/4.jpg)
A Special Problem
T
BA
C
DX
Z Z
Y
UIL NS and Mathematics Special Topics Session
![Page 5: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/5.jpg)
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
UIL NS and Mathematics Special Topics Session
![Page 6: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/6.jpg)
Using A Special Theorem In Plane Geometry
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"
UIL NS and Mathematics Special Topics Session
![Page 7: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/7.jpg)
Using A Special Theorem In Plane Geometry
Warren D. Smith - March 2012
This theorem was also used to solve a number theory problem about “Prouhet Tarry Excott” set pairs.
UIL NS and Mathematics Special Topics Session
![Page 8: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/8.jpg)
Pascal’s Triangle Clarification
UIL NS and Mathematics Special Topics Session
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
![Page 9: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/9.jpg)
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
UIL NS and Mathematics Special Topics Session
![Page 10: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/10.jpg)
UIL NS and Mathematics Special Topics Session
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.)
![Page 11: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/11.jpg)
Trapezoidal Means
UIL NS and Mathematics Special Topics Session
Arithmetic Mean Geometric Mean
Harmonic Mean Heronian Mean
Contraharmonic Mean
Root-Mean-Square Centroidal Mean
![Page 12: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/12.jpg)
Trapezoidal Means
UIL NS and Mathematics Special Topics Session
![Page 13: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/13.jpg)
If you have some questions, I have some answers.
UIL NS and Mathematics Special Topics Session
![Page 14: UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest](https://reader036.vdocuments.us/reader036/viewer/2022072016/56649ee55503460f94bf440f/html5/thumbnails/14.jpg)
HAVE A HAVE A GREAT DAY!GREAT DAY!