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TI-NspireCAS primer by Sean Bird - A
guide to learn the features and become comfortable with the TI-Nspire CAS,
especially designed for TI-83/84 users. Page 11-12 are to be handed in on the
first day of school. This assignment also will equip students with a
philosophical motivation to study mathematics.
TI-NspireCAS primer w/ Reardon
edit.doc 0.5MB (This is similar to the Calculus summer assignment I gave my students,
but with some modifications by Tom Reardon. This document may be of
particular interest to those teaching at public schools.)
You may need this font so that the above files look right:
TINspire.ttf
I gave the following survey to my students on November 8, 2007, after they had
used the TI-Nspire CAS for the first 9 weeks:
TI-nspireSurvey.doc
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Here are some of the tns files I've made and used in my AP Calc class '07-'08
Explor01_1.tns
Explor01_2.tns
Explor01_4.tns
Explor02_4.tns
dynamic file which explores piece-wise functions
Sec2_4.tns
Sec3_6.tns
Sec4_1ProdRule.tns
Sec6_1.tns
derivsteps.tns
This is a modification of a French file that I found on ti.bank.free.fr
The Aussie site
http://www.interactivemaths.net/node/134 said this about it: "Type in your
function and this clever TI-Nspire program will find the derivative
and show all of the setting out. Marvellous!"
Sec7_4slopefield x+y ic dynamic.tns
Thanks to John Hanna's slope field file on his Nspire site we were able to get
a dynamic visual of slope fields and particular 'numeric' solutions from the
initial conditions.
slopefield.tns
Sec7_5EulerMethod.tns Numerical approximation method to
graph a DE. This file introduces Euler's method and helps set up a
spreadsheet. NEW
BoxProbByBird.tns
I've used
this file to demonstrate the uses of Nspire and I began Section 8.3 class by
having students work through this example problem that reminds them of a
physics activity regarding buoyancy and a penny boat.
Sec8_3MaxMin.tns
This Nspire
document includes two dynamic problems:
an
example problem (maximize area of a rectangle under a curve)
and
problem #9 (minimize distance between origin and function)
Sec8_4bAreaBetweenCurves.tns
This document
includes updates to Reimann Sum "programs" so that lrs2, mrs2, and
rrs2(b,a,n) are defined for two functions. Once f1(x) and f2(x) are
defined the area of the rectangle between two functions can be calculated
for large n.
ALSO the proof
for #17 is dynamically demonstrated - Area of parabolic region is 2/3 of
the area of circumscribed rectangle.
area.tns Put this
file in MyLib so that you can access the area approximation methods from
any document. View some of the file as a pdf
areaReimann.pdf
rs(b,a,n) is Reimann Sum from a
to b with n subintervals. Delta x = (b-a)/n. Solutions are exact (if mode
set for auto).
rsa(b,a,n) give approximate or
decimal solutions for left, right, midpt Reimanns and trapezoid, Simpsons
and numeric integral
rsa2(b,a,n) does the above but
it finds the area between f1(x) and f2(x) where f1 is the higher function.
rsl(b,a,n) Reimann sums from the
left hand.
rsr(b,a,n) Reimann sums from
the right
rsm(b,a,n) midpoint Reimann
sums
trap(b,a,n) trapezoid
approximation
sr(b,a,n) Simpson's Rule
Sec8_5Volume&Area.tns
AP Calc problems on the Nspire
Sec8_5Vol10&12.tns
Dynamic volume by rotation
Sec8_5VolumeMC.tns
Volumes of square or semicircle cross sections illustrated
Sec8_6VolCylShell.tns
Animated and dynamic illustration of Cylindrical Shells method of
rotated volumes. This is not on the AP exam. However, it is a beneficial
topic to think about to see general methods of finding volume & discerning
when one method is superior.
Sec8_7Arc Length Nspire ppt
(modification of a Greg
Kelly ppt )
Sec8_7ArcLengthProb30.tns
Arc Length exploration
Section 8.9
Polar
func+polar_tracing.tns (by
John Hanna)
heart.tns
Some of the hearts are polar. But there
is also a heart that is an implicit equation. Another one consists of radicals &
inverse trig functions. Enjoy the following link for a summary or if you don't
have a TI-Nspire
HEARTS.pdf
Sec8_9prob13.tns
What 3 things are wrong with how the area was solved on the first
page?
ch8studycards.tns
Q&A about what you need to know regarding critical points, point
of inflection, max/min problems, volume, arc length & polar. Helpful equation to
know. Mostly taken from our
Stuff You Must Know Cold
227bird.pdf Notes from
my T3 Dallas presentation
TI-Nspire™ CAS Primer and Calculus with TI-Nspire™ Technology and SMART Board™
Technology (Also available on
my TTT & NCTM
site )
Sec9.8Review.tns
Reviewing integrals -Compare the area between 0 and k with k and
pi. Also definite integral. Methods of integration. This file was designed on
the handheld.
Sec12_04TaylorSeriesNspire.ppt
(modification of a Greg
Kelly ppt ) |
