Dear AP Calculus Student,
I hope you are excited for the year of Calculus that we will be pursuing together! We will be having a lot of fun—and doing a lot of work—learning everything there is to know about the mathematics of motion. Calculus can be described as the “mathematics of change”—how fast things change, how to predict change, and how to use information about change to understand different systems themselves. In many ways, Calculus will simply extend what you already know about math one step further.
In order to give you a head start in the understanding of Calculus, I’ve designed a few things for you to do. The purpose of this assignment is to learn how to use essential components of the TI-spire Graphing Calculator, as well as have you practice the mathematics skills necessary to be successful in Calculus AB if you wish. If you need to, you may use reference materials to assist you and refresh your memory (old notes, textbooks, online resources, etc.) but keep in mind you must have this material mastered. I hope that these problems help you to maintain/improve your skills so we can hit the ground running from day one.
AP Calculus AB is a fast paced course that is taught at the college level. There is a lot of material in the curriculum that must be covered before the AP exam in May. Therefore, we cannot spend a lot of class time re-teaching prerequisite skills. This is why you have this assignment. Try your best to complete this assignment on your own. It would be in your best interest to not copy others or try and cheat. Again, all of the material covered in this packet needs to be known in order to be successful in our class next year.
The packet is DUE ON THE FIRST DAY OF SCHOOL. You must SHOW ALL OF YOUR WORK to get full credit on each problem. If there is not enough space provided, you may attach a separate sheet of paper with that problem neatly numbered so it can be easily identified.
If you have any questions, do not hesitate to e-mail me over the course of the summer. Most importantly, I hope you have a wonderful summer and best of luck on the packet. I look forward to working with each and every one of your next year. See you in August!
Regards,
Tucker Schwarberg
tschwarberg@ceresusd.net
The primary purpose of this summer assignment is for you to get familiar with the TI-Nspire graphing calculator. It will be our primary technological instrument and you will be required to use one on nearly a daily basis. I have created a series of videos to get you familiar with the basic functions of the calculator and a couple of techniques that you will be required to do during class.
Watch each video in sequence, then complete the problems below.
#1: The Basics of the TI-Nspire
#2: Using the Calculator Tab
#3: Using the Graph Tab
#4: Solving Equations with Finding Zeros
#5. Solving Equations by Finding Intersections
Complete the following review problem sets:
Basic Trigonometry Review
Trigonometry with a Calculator and Graphs Review
Exponential Functions
Logarithmic Functions
All of the presented material is review from Accelerated Math 3. If you need or want to watch review videos on the material, please see videos below. These will be comprehensive of all material asked in your summer assignment.
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For further review content or lessons broken down, please see the videos from Accelerated Math 3. NOTE: Not all lessons may have videos.