AP Calculus Summer Assignment Preliminaries: AP Calculus is the culmination of all the mathematics you have ever had! 1) You must be competent in basic algebra. The calculator will not always be available to you. 2) You must be competent in trigonometry. You MUST know the unit circle. Almost all problems are worked in radian measure, not degrees. 3) You must be willing to explain your answers. Just getting the correct number will not be sufficient for this course. 4) You must own your own calculator and bring it to class everyday! Knowing how to use your graphing calculator is essential. If you do not currently own one, you need to buy one. A TI-83 is the minimum calculator needed for this course. The TI-89 is better as it has a CAS (computer algebra systems) which can handle symbolic manipulation. If you already own a calculator, you do not need to buy another one. If you already own or choose to buy a different brand (Casio, HP, etc), be certain you know how to use it as I will only be teaching how to use a TI calculator. If you don’t want to buy new, you will find good prices at pawn shops, at Cash Converters, and on Amazon and eBay. If you don’t know how to do something using your calculator, refer to your manual. If you have lost or misplaced your manual, you can download a free copy from the TI website: www.education.ti.com You have multiple tasks for the summer. 1. Complete the attached Packet ’o Problems. Work on your own and make sure to read the cover page. Use internet and book resources as necessary (there are good internet resources listed in the packet). You will need to turn in all of your work, including answers, in a neat and organized packet the first day of school. This assignment will count as a significant process grade for the first quarter and should be completed before task #2. 2. On August 1st an online test will be posted at the PHS Calculus Blog (patuxentapcalc1.blogspot.com). You must complete this test before school starts. Make sure to read the directions fully (NO CALCULATOR). Do your work in an organized manner on a separate sheet which you will turn in by the first day of school. This will be graded as a product grade for the first quarter. Optional: Print a copy of the worksheet located at: http://www.mathbits.com/MathBits/StudentResources/Algebra2/TrigCachingWorksheet.pdf. This worksheet (with all of your work) will be collected by the first day of school. Contact a teacher if you have any questions. Use the worksheet to record your answer for the problems beginning at: http://mathbits.com/caching/trigopencache1.html and then print a copy of the last page – box #10. You will work 29 problems by the time you complete this activity. If you chose to complete this assignment by the first day of class you will receive a free homework pass for the first quarter. These assignments (including the optional trigonometry) will provide a good review for a non-calculator test given during the first week of school. Be prepared! Mr. Mably and Mrs. Brown will be available off and on during the summer. Make sure to ask/email questions as necessary! You may contact us via email at email@example.com (available after August 7th) and firstname.lastname@example.org. Be certain to send your email to BOTH of us and to INCLUDE YOUR NAME. Good luck, we are looking forward to next year! ***If you need help with the web assignments, the University of Michigan has a really good website with practice problems and tutorials at: http://prep.math.lsa.umich.edu/pmc/. Enter the module and select any topic, or test your overall knowledge with the diagnostic test at the end of the list of topics*** AP Calculus - Packet ’o Problems To: All students enrolled in AP Calculus AB for the school year 2008-2009 From: AP Calculus teachers: Mr. Mably and Mrs. Brown Going into AP calculus, there are certain skills that have been taught to you over the previous years that are assumed that you have mastered. If you do not have these skills, you will find that you will consistently get problems incorrect next year, even though you understand the calculus concepts. It is frustrating for students when they are tripped up by the algebra and not the calculus. This summer packet is intended for you to brush up and possibly relearn these topics. It is assumed that you have basic skills in algebra. Being able to solve equations, work with algebraic expressions, and basic factoring, for example, should now be a part of you. If not, you would not be going into AP calculus. The topics covered in the packet are skills that are used continually in AP calculus. The attached summer packet is for all students enrolled in AP Calculus AB in the fall. This packet will be collected on the first day of school and you will be tested on its contents. Show all work and check your solutions so that you can focus on refreshing the skills that you are lacking. Use the listed websites if and when you are unsure of how to work out any problems. Don’t fake your way through these problems. As stated, students are notoriously weak in them, even students who have achieved well prior to AP calculus. Use the websites. This packet is intended to get you off to a good start in AP calculus, and as stated earlier, you will be tested on this material at the start of the course in the fall. Spend some quality time with this packet this summer. Do not rely on a calculator. Half of the AP exam is done without a calculator. It is a mistake to complete this immediately after school lets out for the summer. Let it go until midsummer. The idea is that these techniques are fresh in your mind at the start of the course in the fall. Likewise, it is a mistake to wait until the last minute to complete this as well. These problems do take time. Below are listed topics in the review. You can certainly do Google searches for any of these topics. Several sites are listed below that will cover almost all of these topics. Here is a good site for most algebra topics: http://www.purplemath.com/modules/index.htm Beginning algebra topics Advanced algebra topics Exponents Asymptotes Negative and fractional exponents Complex fractions Composition of functions Intermediate algebra topics Solving rational (fractional) equations Domain Solving inequalities: absolute value Trigonometry topics Solving inequalities: quadratic Basic right triangle trigonometry Special factoring formulas Unit circle Function transformation Trigonometric equations Factor theorem (p over q method) Even and odd functions Here is a good site for trigonometric topics: Solving quadratic equations and the quadratic http://www.mathematicshelpcentral.com/index.html formula Once in the site, go to lecture notes.
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