CAS Primer for OS3_2.pdf updated Summer
2012 for OS 3.2. The corresponding Word document:
or pdf by
Sean Bird - updated Aug 2010 for OS 2.1 Touchpad!!
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 or pdf
(0.5MB) - This is similar to the Calculus summer assignment I gave my
students, but the 'homework' problems on the last pages are what Tom Reardon
used at his public high school in Ohio (pg 13 has answers). The
majority of this document is still written for the 2.1OS, but you could
especially use the last pages.
You are welcome to modify the Word documents to
suit your needs. Please share your improvements/modifications.
Parent Night for
Calculus - new in 2010, 1 page overview
of calculus tns file
Scavenger_Hunt_TI_Nspire_CAS_Touchpad_CalculusBird.docx Get to know
the Calculator page (pdf)
You may want to install the Nspire
fonts for Word documents to show up correctly.
What is Calculus?
20min (1st day activity)
10-15min (no tns required for this introductory activity)
(motion - CBR2 extension)
Exponentially Fast Deriv
11612 40-45min* (CAS active)
11643 45min* typo in Word doc fixed
Gettin' the Swing
derivative - CBR2 ext.)
Helicopter Bungee Jump
40min* (exp growth/decay, DEs,
12100 15min (Riemann sums,
FTC Changed History
(average value & ave rate of change)
for part 1
Volume by Cross Sections
<15min for part 1
20min (CAS extension deSolve)
(CAS deSolve, application of DEs)
[BC] Gateway Arc Length
Parametric Race & Slope
12624 20min*(Click to the left for the tns file updated for OS
and the AP Exam format changes that began May 2011. Here is an improved
I would also highly recommend any activity that is designated with the
hand symbol (see ctrl click on the handheld).
are Action-Consequence activities referred to as
* means that the teacher notes of this activity sites which AP
problems relate to the topic.
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:
Parametric graphing on the TI-Nspire is shown with some visual enhancements
PolarFriend.tns This 'Polar Graphing Friend', similar to the
'Parametric Friend' above, is an aid to make teaching, learning, and
exploring polar graphs easier with the TI-Nspire.
I think the polar graph 'paper' on one of the
first pages of PolarFriend.tns can be a valuable resources with the TI-Nspire
I've even come up with a reasonable way to shade the area of
a polar graph from 0 to some theta2. Some screen
shots of this will be coming soon to my
Here are some of the tns files I've made and used in my AP Calc class '07-'08
Explores limits graphically, numerically (table) and algebraically -
Sec2_3Nspire09.pdf - screen shots from
dynamic file which explores piece-wise functions Limits from left &
right, continuity, sliders.
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
Sec7_5EulerMethod.tns Numerical approximation method to
graph a DE. This file introduces Euler's method and helps set up a
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.
document includes two dynamic problems:
example problem (maximize area of a rectangle under a curve)
problem #9 (minimize distance between origin and function)
includes updates to Riemann 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.
updated Put this
file in MyLib so that you can access the area approximation methods from
any document. After refreshing the libraries, on the TI-Nspire CAS you can
find the program in Catalog 6 (or Catalog 5 with the TI-Nspire) or type,
for example area\rsa(b,a,n). View some of the file as a pdf
areaRiemann.pdf (See TI
activity exchange - search
rs(b,a,n) is Riemann 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 Riemanns 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) Riemann sums from the
rsr(b,a,n) Riemann sums from
rsm(b,a,n) midpoint Riemann
sr(b,a,n) Simpson's Rule
AP Calc problems on the Nspire
Sec8_5Vol10&12.tns Dynamic volume by rotation
Volumes of square or semicircle cross sections illustrated
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 )
Arc Length exploration
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
What 3 things are wrong with how the area was solved on the first
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
Reviewing integrals -Compare the area between 0 and k with k and
pi. Also definite integral. Methods of integration. This file was designed on
(modification of a Greg
Kelly ppt )