Welcome to Andrew Borne's Math, Education & Technology Website
Who I am, what I teach, where I teach 
Andrew T. Borne
Licensed for grades 512 Mathematics, Minnesota
Masters in Education, Classroom Instruction
email: abornemath(at)gmail.com
PostBach Teaching
Concordia University, St. Paul 20102011
University of St. Catherine, St. Paul 2011
Professional Memberships
Minnesota Council of Teachers of Mathematics Until 3/1/2014



Texas Instruments TI84 Plus Videos and Docs 

Quadratic Equations on the TI84 Plus
An essential program for anyone working with quadratic equations in Algebra.
This program takes coefficients a,b, and c and produces the solutions,
discriminant, axis of symmetry and the graph. Even better, it adjusts the
window automatically for you when you view the graph...no more fooling
around with xMin and yMax in the Windows menu. No other programs do
what this one does! And best of all it's FREE. Need help installing a program?
See this vid.



The Standard Shading Program (Normal Density)
This program which works on the TI84 Plus and TI83 Plus will take the mean, standard deviation,
lower and upper bound to produce a graphe of the area as seen shaded on a normal curve. It will also state the area under the curve. Need help installing a program?
See this vid.



Faster Graphing / Asymptote Detection
For many, the first time a function is graphed on the TI84+ Color it is SLOW.
This is because a mode called asymptote detection is set to ON. By turning this
off, plotting of a graph is sped up. But why is this mode here? What does it do?
View the Youtube video to see and/or view the PDF documentation.



Zscores and Percentiles
Studying zscores and/or percentiles? You want this program!
Compatible with TI84+ SE and the newer TI84+ SE Color.
This program will do three things: 1) find a zscore given mean, standard deviation and
the raw score, 2) find the zscores of a list and put them into another list for easy
viewing, and 3) find the zscore given the percentile. Yes!
Bonus, the listing of the program is in PDF form so you can look it over to see how it works.



How to use the Algebra Equation Solver
This is a builtin utility found on the TI84+, SE and SE color. The solver allows you to
put in an algebraic equation and solve for x. This tutorial shows you how to use it
on the TI84+ Silver Edition Color, and also on the TI84+ SE which has some minor
differences.



Binomial Probability Program
Working on a lesson about binomial distributions and probability? Need to find probabilities
using the formula
${}_{n}C_{r}{p}^{r}{q}^{n1}$?
This program will take in trials, probability of success, and desired number n and
output a helpful summary of probabilities.



The TVM (Time Value Money) App
This builtin APP found in the TI83+, TI84+ and the TI84 C is a financial app
that is very powerful and easy to use. This App allows you to solve for Number of payments,
Interest rate, Principle, Future Value and payments. This App is worth the price of
the calculator alone. Have this with you next time you sit down with a lender.



The MIDPOINT Program
This program will find the midpoint (x,y) between two points, (x_{1},y_{1})
and (x_{2},y_{2}). This program and video are designed to help you learn
the basics of programming your TI84 calculator. Download the PDF and learn simple input/output and
computation.



Slider Demo
This TInspire document (should work with both regular and CAS models) is a simple document which has sliders connected to variables which control a graph. Page 1.1 is a linear equation and page 1.2 is a quadratic equation
sliderdemo.tns  TInspire Document

Minnesota MCAII 11th Grade Questions & Explanations, Convering Questions 120
If you have iTunes, you can automatically subscribe by clicking below:
itpc://www.andyborne.com/podcasts/mca.xml
or, copy & paste this URL in: http://www.andyborne.com/podcasts/mca.xml
Media Type 
Description 
Date 
PDF 
Best Ever Unit Circle by Andrew Borne 

PDF 
Math Advances Raise the Prospect of an
Internet Security Crisis, MIT Technology Review 
August 2013 
Mp3 
Datamining, Marketplace, Minnesota Public Radio, 8 Megs 
Sep 2010 
Mp3 
Introduction to Number Theory (6 minutes) easy to understand 

PDF 
The Unreasonable Effectivness of Mathematics, by Eugene Wigner 
1960 
PPT 
The Beauty of Mathematics, unknown author 

PDF 
Finding Roots, three different ways (Algebra II), by Andrew Borne 

PDF 
Einstein failed math as a child myth...busted! 

PDF 
How did people do square roots in the 1960s? 
1961 
PDF 
AlKwarazmi, "The Father of Algebra" 

PDF 
Some Reasons for the Effectiveness of Fractals
in Mathematics Education, by Benoit B. Mandelbrot and Michael Frame 

PDF 
Fractals, Graphics, and Mathematics Education, by Benoit B. Mandelbrot 

PDF 
Infinity: You can't get there from here! From Platonic Realms website 

PDF 
Math Jokes, anecdotes and other funny quotes, Collected by Mike Cook even more! 

PDF 
A primer on Zeno's Paradox, from Platonic Realms 

PDF 
Mathematics and the spiritual dimensions, by Swami B. B. Visnu 

PDF 
The Bumble Bee can't Fly Myth 

PDF 
If Robots Run the World, What Should Students Learn?, Katrina Schwartz 
April 2013 
PDF 
How Long is the coast of Britian?, by Benoit B. Mandelbrot 
1967 
PDF 
Obituary of Jaime Escalante, LA Times 
2010 
PDF 
Blooms Taxonomy for Learning, Math emphesis, by Andrew Borne 

PDF 
666, the biblical number of fhe beast, A mathematical examination, by Mike Keith 

PDF 
Ada Lovelace wrote the world's first computer program...what did it do? 
Dec 2012 
PDF 
The Rapunzel Number: The Math of Ponytails 
Feb 2012 
PDF 
How Math is affecting advertizing in social media 
Aug 2013 
Mp3 
Christmas, by the Numbers (time: 4:40) 4.3 Megs 
Aug 2013 
TED link 
TED Talks, 20 minutes, Stephen Wolfram: Computing the Theory of Everything Alternate Link on Wolfram site 
April 2010 
PDF 
That Darn River boat Problem, a DRT combined with quadratics. 

JPG 
Advice from a professor of mechanical engineering on how to teach 

PDF 
StepbyStep making of the Mandelbrot Set. Orbits & iteration (high school level) 

PDF 
Multiplying Polynomials using a box by Andrew Borne 

PDF 
The amplituhedron: a Jewel at the heart of Quantum Physics, Quanta Magazine 
Sep 2013 
PDF 
Boo! The Witch of Agnesi, a curve by Maria Agnesi 

PDF 
Understanding the Fourier transform, Stewart Riffle 
Dec 2013 
MP4 
A bizzare proof of how the summation of the positive integers equals... 1/12th? 
Jan 2014 
PDF 
The amazing mathematical art of Rafael Araujo, noncomputer drawings. 
Feb 2014 
PDF 
A detailed statistical analysis of the paintings of Bob Ross by Walt Hickey 

PDF 
A look at the mathematics behind the works of M.C. Escher 

Mp3 
Comedy Sketch from Wits, American Public Media, staring David Cross 
May 2014 
PDF 
The MultimillionDollar Minds of 5 Mathematical Masters, New York Times 
June 2014 
Unicode Math Characters, copy & paste! 
These are not all the unicode math symbols, but these seems to be the ones most often needed!
Symbol 
Description 
Alt Code 
≥ 
greater than or equal to 
ALT242 
≤ 
less than or equal to 
ALT243 
x̄ 
xbar average or mean 

p̂ 
phat proportion of a sample 

ŷ 
yhat predicted outcome 

Δ 
Greek Uppercase delta, change 

Ω 
Greek uppercase Omega 
ALT234 
θ 
Greek lowercase Theta 

μ 
Greek lowercase mu, stat mean, prefix micro 
ALT230 
σ 
small sigma, standard deviation 
ALT229 
χ 
Greek lowercase chi, sounds like "ky" 

π 
Greek lower case pi 
ALT227 
₁ 
subscripted 1 

₂ 
subscripted 2 

² 
squared, superscripted 2 
ALT0178 
³ 
cubed or superscripted 3 
ALT0179 
√ 
radical symbol aka square root 
ALT8730 
½ 
onehalf, half symbol 
ALT0189 
¼ 
onequarter or one fourth 
ALT0188 
± 
combined plus or minus 
ALT0177 
∙ 
multiplication dot, bullet symbol 
ALT0149 
∞ 
infinity symbol 

∠ 
angle symbol 

° 
degree symbol 
ALT248 
≅ 
congruence 

÷ 
obelus, or division symbol 
ALT246 
¢ 
money unit cents 
ALT0162 
ø 
empty set 

∘ 
function composition, (f∘g) 

≈ 
approximately equal to 

≠ 
not equal to 

Quadratic Equation Solving Spreadsheet 
Printables, made by me, and free free free! 
Southpark 8.5 x 11" Poster
For fans of Southpark, here is a recreation of that poster seen in the
background of Mr. Garrison's 4th grade classroom, the famous "Math Is...Universal" poster. The background
image is known commonly as the Keyhole nebula, which is a smaller part of the greater Carina nebula. All right, children,
download this page and print it for your room or Mr. Hat will do terrible things to you. Download Poster.

 
Downloadable TI83, TI84 Software 
TI83 Plus Debugger & Instructions 
This is a .zip file containing the TI83 Debugger I've downloaded from Texas Instruments. Included in this zip file is a short video tutorial on how to install it, and run it for the fist time. Studentfriendly. Windows Only 
TI83 Plus SDK from TI

This is a link to Texas Instruments TI Debugger. I have no idea why they still have this page operational. I suspect some nice person kept it around since the software is very old. It works on Windows XP through Windows 7. 
Virtual TI (w/ROMS) 
This is a very nice emulator. Requires downloaded ROMs, which are included. TI83 Plus, TI85 (version 9.0) TI86 (version 1.3), and TI89, (version 2.09). Windows Only 
Vintage TI30 Simulator

While fully functional, this is more of a novelty/nostalgic item than a useful calculator. It is a simulation of the popular mid1970's scientific calculator from Texas Instruments. It recreates the red LED display, the button press sounds, and the wait time for calculating complex expressions. Windows Only

Wabbit EMU

This is a link to the actual site. Wabbit EMU is a Z80 simulator / debugger which will automatically download a working ROM from TI's website. Highly configurable. Can be used to simulate a TI83 or even the latest TI84 Plus. Very nice indeed! Great for teachers who don't want to spend the money for TISmartView.

Math Links / Math Education Links / Math Interest 

Vector Graphic Sample
The graphic to the left was my attempt at vectorbased art. I attempted to copy
a rasterbased graphic, which was made of pixels, into a rasterbased graphic which is made of curves and lines based on equations so it can be scaled and sized without limitation.
In a way, this is
where math meets art. The graphic can be downloaded as a Photoshop .psd
CS5 document, with a "smart object" embedded in it. Enjoy!
Learn About: Vector Graphics 
Raster Graphics 
Pierre Bezier 
Pablo Picasso

Visits as of Dec 6th, 2009:


