Summer+Work



Appendices problems done in class - 2017

In Khan Academy, you must complete the Trigonometry Mission by the end of the summer. Instead of creating new usernames for Khan Academy, since Miss Barlamas said you had accounts for her, I would like you to sign in with the account you already have, and add me as the coach. I'm pasting a picture here with the class code. If anyone would rather have me manually add you to my class (thus creating a new account and losing all work you have already done), email me at mhapich at ambridge.k12.pa.us. Your assignments will be waiting for you in Khan Academy. What I will be collecting the first day of school is your work from the exercises. Do that work in whatever notebook or binder you will be using for class. 

You will also be required to turn in the Algebra Review packet on the third day of school, but not the appendices. I am, however, leaving all materials from Appendix D on this page. The more you review, the easier the class will be! There is no assignment due from Appendix D as of now. I may assign some problems for practice as I review the topics. Topics covered from Appendix D will include: To experience maximum success, be sure you have met all of the prerequisites as stated by the College Board: Before studying calculus, all students should complete four years of secondary mathematics designed for college-bound students: courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. These functions include linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions. In particular, before studying calculus, students must be familiar with the properties of functions, the algebra of functions, and the graphs of functions. Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and know the values of the trigonometric functions at the numbers 0, pi/6, pi/4, pi/3, pi/2, and their multiples.
 * 1) Rational and irrational numbers
 * 2) Solving linear, quadratic or higher degree, and absolute value inequalities
 * 3) The distance and midpoint formulas
 * 4)  Equations of circles (requiring a review of completing the square)
 * 5) Trigonometry
 * coterminal angles
 * degree/radian measures
 * solving simple equations
 * solving more algebraically involved equations
 * using reference triangles to evaluate trig functions of angles or to solve equations
 * graphing trig functions without a calculator
 * using graphs of trig functions to assist in solving equations when answers are a multiple of pi halves

ALGEBRA REVIEW: The worksheet is broken up into ten sections, and contains all of the answers at the end of each section.

On the first day of school, I will assign books (and a calculator if you need one), then answer any questions you may have on the algebra review. This means it MUST BE DONE!

Over the next four days, I will teach the three sections from Appendix D - Precalculus Review. I will spend one day each on D1 and D2, and two days on the D3. That's a pretty fast pace for a lot of material, so if you want to get a head start on it, click on the links below for the three parts of Appendix D, read the sections, and try some odds. Check them with the answer link below. [|D.1 Real Numbers and the Real Line] [|D.2 The Cartesian Plane] [|D.3 Review of Trigonometric Functions]

Answers to Appendix D

The second week of school we will spend two days reviewing for the quiz and you will have two days to take the quiz. Friday we will go over it, then look ahead to the AP exam. We will hit the ground running with tips for succeeding on the exam and look at the many resources you have to supplement your learning throughout the year.

We will start following the Stewart book the Tuesday after labor day. You will be expected to have your book (either the physical book or the pdf) and calculator every day from September 8th on.

Learning should always be your main concern, not your grade. If you desire an "A", it will come with mastery of the material which should always be your goal - in not only this class, but all classes.
 * That having been said, points will be given as follows:**
 * Demonstration of proficiency in trigonometry as evidenced by performance on the Khan Academy Trigonometry Badge - 100 points - recorded 3rd day of school
 * Work shown for Algebra Review Packet with questions/problems clearly labeled - 10 points given the first day of school (one point per section...did you try the whole section or not?), and 20 points given the next Monday (is each section now finished, and all correct?).
 * Quiz on Algebra Review and Appendix D topics - 60 points - recorded 2nd week of school

The recommended calculator for the class is the TI-84 (any edition). I will be using the TI-84 silver edition in class for demonstrations of necessary skills. Also, a binder or a 5-subject notebook is highly suggested as you will be taking //a lot// of notes this year.

**Have a great summer!**

AP Calculus BC Khan Skip the three sections dealing with polar graphs and arc length! Either screenshot each section when finished or just show me all problems in your notebook when we get back to school. Your code for your new Khan class is CH38R9