Water Balloon Slingshot by Jessica Orvis on Prezi Initial Velocity Components It has already been stated and thoroughly discussed that the horizontal and vertical motions of a projectile are independent of each other. The horizontal velocity of a projectile does not affect how far (or how fast) a projectile falls vertically. Perpendicular components of motion are independent of each other. Determining the Components of a Velocity Vector Earlier in this unit, the method of vector resolution was discussed. Consider a projectile launched with an initial velocity of 50 m/s at an angle of 60 degrees above the horizontal. All vector resolution problems can be solved in a similar manner. Practice A: A water balloon is launched with a speed of 40 m/s at an angle of 60 degrees to the horizontal. Try Some More! Need more practice? Determination of the Time of Flight The time for a projectile to rise vertically to its peak (as well as the time to fall from the peak) is dependent upon vertical motion parameters. Determination of Horizontal Displacement x = vix • t 1. 2. 3.
Calculus AB and BC Calculus Maximus The topics below are both AB and BC topics. The topics preceded with an asterisk (*) are BC only topics. All documents are .pdf Open House Info: AB & BC, Bingo AP Calculus Course Outline: AB, BC AP Calculus Survival Guide First Day Handouts Note to Students (and Parents) Personal Math Class Inventory Appendix: Precalculus stuff to know cold (Notes) Appendix: Parent Function Catalog (Notes) Appendix: The Unit Circle (Notes) Appendix: Prerequisite Algebra Skills (WS) 1 Intro: What is Calculus? 1.1 What is AP Calculus? 2 Intro: Calculus prerequisites (Notes) 2.1 Parent Functions (Notes, WS/KEY) 2.2 Simplifying Expressions (Notes, WS) 2.3 Equations of Lines (Notes, WS) 2.4 Domain, Range, and Symmetry (Notes, WS) 2.5 Fun with Functions (Notes, WS) 2.6 Trigonometry (Notes, WS) 3 Intro: Limits (Notes) 3.1 Intro to Limits (Notes/V1/V2/V3/V4, WS/KEY) 3.2 More Limits (Notes/V1/V2/V3/V4/V5, WS/KEY) 3.3 Limits and Infinity (Notes/V1/V2/V3/V4/V5, WS/KEY) Practice TEST 3.1-3.3
PowerPoint Notes for 106 PowerPoint Notes for 106, Spring 2009 Professor Sogge Below are the PowerPoint lectures for the course. You can view them with your web browser by choosing the html links. I am trying to ensure that you can view the html files generated by PowerPoint in any recent browser, especially Internet Explorer and Safari. Week 1: Lectures 1-3 (Chapter 2, Sections 3.1, 3.3, 3.4 - Limits, Limit Theorems): html, ppt Note: 3.2 will be covered next week, and you should review Chapter 2 yourself. Week 2: Lecture 1 (Section 3.2--Continuity): html, ppt Lecture 2 (Section 3.5--Extreme Value and Intermediate Value Theorem): html, ppt Lecture 3 (Section 4.1—Definition of Derivative): html, ppt Week 3: Lecture 1 (Section 4.1, continued):: html, ppt Lecture 2 (Section 4.2-4.3, Computing Derivatives) html, ppt Lecture 3 (Section 4.4, Chain rule) html, ppt Week 4: Lecture 1 (Section 4.4, continued) html, ppt Lecture 2 (Section 4.5, Trig Functions) html, ppt Week 5: Lecture 1 (Sections 4.6, 4.7, cont.) html, ppt
CALCULUS NOTES and TESTS CALCULUS NOTES and TESTS • Printing Suggestions for Typed Files I recommend two-page-to-a-side and/or double-sided printing to save paper. If the typed print is too small, try something like Page Setup: Scale: 110%, unless print gets cut off (100% may be better for handwritten notes). These are pdf files. • CALCULUS EXERCISES / PROBLEMS (I): Click here • CALCULUS NOTES / BOOK (I): Click here • CALCULUS TESTS / EXAMS (I, II, III, Applied): Click here • CALCULUS I COURSE WEBSITE: Click here • CALCULUS II COURSE WEBSITE: Click here • CALCULUS III COURSE WEBSITE: Click here • APPLIED CALCULUS I WEBSITE: Click here • WEBSITE COMMENTS: Link to these web pages, not individual pdf files! Creative Commons License For “attribution,” simply mention my name and/or web URL somewhere if you’re using huge chunks of the notes. • … online tutoring • … online tutoring • … like Google for tutors Click here PRECALCULUS NOTES and TESTS
AP Calculus - squiresmath Old AP Questions by category. They are picture files, so you can drop them directly into Word or other programs. Course Syllabus Here is my syllabus, edited roughly to reflect what I would do next time if I were teaching this course again. If you are teaching in a state which does not have standards for Calculus, I recommend using the Indiana Standards. 1st Semester Notes, Classwork, Worksheets, Quizzes, and Tests Note: The numbering of the weeks and units will make more sense if you first take a look at my syllabus. Most files are either in the old Word format (.doc) or the new Word format (.docx). The topics in dark purple are the ones where I actually created new problems in the packet (not just notes and a worksheet from another source or the AP problems from the top of the page). Remember that my students entered Calculus significantly behind grade level and suffered from chronic absenteeism and other problems. Limits and Continuity Week 11: Calculating Limits Week 13: Limits Review
Math Teacher Mambo Welcome to AP Calculus Welcome to AP Calculus Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Semester I Review Online help *Calculus Resourses *Textbook Exercises *Create a class with a Classmate or Teacher General Information AP Calculus Syllabus AP Calculus Assignment Schedule Guided Notes Martha Cantrell Habersham Central Room 106 706-754-2110,Ext 128 mcantrell@habersham.k12.ga.us
Untitled Document Welcome to Mrs. Oberholtzer's HOME PAGE (page last updated on 9/22/14) Important Dates | Miscellaneous Information| Prophecies | Links | Homework Hints & Helps | Pencasts | Pre-typed Notes & Examples | Daily Schoolpad Slides | TurningPoint Review Sessions | Weekly Assignment Sheets Contact Information: Mrs. Ashland High School 419-289-7968 (ext. 3203) The following links contain information that may be useful to current and past students. REMEMBER: There is no substitute for being in class, paying attention, and taking notes. Thanks to the Ashland City Schools Academic Foundation (ACSAF) for providing the initial funds to purchase the software and hardware necessary to create these helpful homework slides! 2014-2015 Math League dates: Oct. 14, Nov. 12 (Wed.), Dec. 9, Jan. 13, Feb. 11 (Wed.), Mar 17 (Meet after school in room 201 or 203--maximum time allowed is 30 minutes. 2015 American Math Competition (AMC 10 and AMC 12): Tues. 7-12 Math Department Collaboration Day: Prophecies Website Links
Calculus Introduction This page contains resources that may be of interest to students studying Calculus. The number of resources on this page will grow as additional items are developed. You may find that materials provided elsewhere on this site are also of interest to you. If you have any questions or special requests, please contact Earl at earl@mathguy.us. Related Handbooks and References Algebra Handbook version 2.5 – Covers two years of Algebra and some Pre-Calculus. Calculus Handbook (in development) Calculus Handbook version 0.7 (in development) – The Calculus Handbook is in development, but currently contains many useful items. The following PDF files are included in the Calculus Handbook. PC Apps Algebra (Main) App version 0.8b – Covers topics in Algebra up to and including Pre-Calculus. Sample Problems Problems related to Calculus, Eighth Edition (Larson, Hostetler, Edwards) The value of reviewing these sample problems and solutions is twofold. Chapter 2: Differentiation Other sources