Embedded Files
updated September 27, 2024 Short link to this site https://tinyurl.com/SYMKC for Stuff You Must Know Cold
for the AP Calculus exam
Getting ready for the AP Exam? Enjoy the attached updated Stuff You Must Know Cold (see below) and the tips found on APCalcExamPrep.tns Download - teacher notes & student handout are available on TI's activity exchange.
More resources shared at NCTM in Chicago 2024: Math Nspired website TI-Nspire activities, TI Webinars on-demand or live (up coming), https://tinyurl.com/mixedsix files - blog explanation and webinar 1&2 , SONGS - Calculus the Musical and Bird's songs part 1 and part 2, TI Blog "Helpful AP® Precalculus resources teachers will love by Vicki Carter"
Using technology can be a great way to get a visual and compare area approximation methods like left, right, midpoint Riemann sums, as well as the trapezoid method. Although not on the AP exam, the next step, after considering horizontal lines or trapezoids to match the function, would be to use curved lines, i.e. little parabolas. That is what the Simpson's Rule is.
The files that are available to explore area approximation include files like Sum Rectangles.tns (Download) that even has student and teacher notes available on TI's website or by searching in the content tab of your software. On the website you can even download the area.tns file that is great to put in the MyLib folder and then "Refresh Libraries" so that the program can be used in the Scratchpad or any other document. The last version of area.tns can be downloaded here. Explanations for using the Library can be found at this video.
Sum Rectangles is great for using in a TI-Navigator to ask embedded formative assessment questions. Thanks to Steve Arnold, that file even included a Lua page that runs quickly and smoothly even on the handheld. Yet that activity didn't include Simpson's. Now, with Dennis Donovan's contribution there is a file that includes visuals for Simpson's: Area Approximations (RAM, Trap, Simp).tns Download. I included the ram() program at the end so students could quickly compare larger number of subintervals quickly.
Note: Any easy to use tool when you have data instead of a function is the Vernier Data Quest. Select menu > View > Table, enter your data - you can even just use x & y as the variables. After viewing in a graph you can menu > Analyze graph and do the integral. Trapezoid areas are found for that area.
Enjoy exploring.
And enjoy the latest versions of Stuff You Must Know Cold for the AP Calculus Exam.
Page updated
Google Sites
Report abuse