2006-07 AP Physics C-Mechanics Syllabus Course Overview: This course is offered as a second year physics course. The majority of students entering the course have completed a rigorous 1st year honors physics course employing algebra and trigonometry based on a Modeling Physics approach. As such, students come to AP Physics with an extensive laboratory background and a solid foundation in Newtonian Mechanics concepts. This course is also taught as a co-enrolled course with AP Calculus AB which is also taught by me. Most students in my AP Physics course are also enrolled in my AP Calculus AB course. Students enrolled in both courses will see me every day, with each course meeting on alternating days. This arrangement allows me to integrate the physics and calculus concepts to a very high degree (see attached detailed schedule). About a third of the AP Physics students are concurrently enrolled in AP Calculus BC with another instructor. These students have already successfully completed AP Calculus AB. Textbook: Young, Hugh D. and Roger A. Freedman. 2004. University Physics. 11th ed. Boston: Addison-Wesley. This book is used by the local university (Arizona State University) in their introductory engineering physics course (PHY 121) that is equivalent to this AP course. In addition, the online homework system, Mastering Physics, which comes with the text is used throughout the AP course for many of the students’ homework assignments. ASU also uses this system. Course Format: This course is designed around the AP Physics C Mechanics exam and is equivalent to the first semester of calculus based university physics. As a college course, it is very rigorous and will require students to do a substantial amount of work outside of the classroom. Students should expect to spend an hour per night doing independent work (reading, problem solving, lab reports, etc.) The Mechanics curriculum covers: kinematics, Newton's Laws, energy, momentum, rotational kinematics, angular momentum, gravitation, and oscillations. You will have seen many of these concepts before but you will now be applying calculus to them and increasing overall problem complexity. After school AP exam review sessions will begin third quarter on a day of the week to be determined at that time. Towards the end of second semester, we will start to review for the AP exam in class. The AP Physics exam will be given on May 14th in the afternoon. Students are expected to take the AP exam as this is considered to be part of the AP course. Success on the AP exam is tied very strongly to the amount of time students spend at after-school review sessions. Even strong students with good grades all year in the course will jeopardize their chances of scoring well if they fail to attend the review sessions. Cooperative Learning Groups: You will work in the lab and on some assignments in 2-4 person groups. Members of your group will make oral presentations before the whole class in which you present your ideas and answer questions from your classmates. The emphasis of the presentations is on the general understanding of the principles involved and how you solved the problem (showing work) in addition to the correct answer. Study Skills: You are expected to bring to class daily your three-ring binder with tab dividers and loose-leaf paper. You will keep all the materials for a given unit (notes, worksheets, quizzes, labs, etc.) in your binder until the unit test. On the days of unit tests, your notebook will be collected and graded. Since the material in this course builds from one unit to the next, you are also required to retain your work from previous units. 2006-07 This will allow you to review for final exams more productively. Part of your notebook grade will be based on retention of previous unit's materials. Also, the notes you take in class will be part of your homework grade. Calculators: There are a number of inexpensive (under $20) scientific calculators (ones that include trig functions will do nicely) that are suited to your needs in this class. Expensive, programmable engineering calculators are unnecessary and more likely to disappear. I strongly urge you to engrave your name on your calculator to make it easier for me to return a lost calculator to you. The multiple-choice portion of the AP Physics exam does not allow calculator use. A calculator is allowed on the free response portion. Homework: The problems assigned as homework in this class are designed to help you really understand the concepts developed in class. Two (somewhat modified) clichés apply here: “Practice makes permanent” and “perfect practice makes perfect”. What this means is that students who make a good effort at homework assignments will understand the material better and will be more successful in the class. The importance of effort on the homework cannot be overemphasized. It is during this time when students can struggle with their individual challenges in understanding the material. Having someone else “tell you how to do it” will inevitably lead to a shallow understanding and low test scores. Some test & quiz questions will be similar to the problems you encounter in the homework. Writing clear solutions with explanations (rather than just answers) will help you prepare for the tests and whiteboard presentations. The format of your homework solutions is very specific and will be covered in another handout. In addition, students will be using an online (Internet based) homework service. The online homework will be worth a significant part of the homework grade. Students are expected to regularly access this online service to view their assignments and register their answers. The school provides several locations where students may access the Internet from school (e.g. library, teacher classrooms, etc.), and each student should have at least one class period every two days where such access can be arranged. Free Internet access is also available at many public libraries throughout the region. As students have at least 22½ - 46½ hours from the end of one science class to the beginning of the next, no excuses will be accepted for technical problems or lack of planning for Internet access. These assignments will typically given a week or so in advance of the due date. Tests & Quizzes: Throughout a unit, quizzes will be given to check for your understanding. Quizzes/tests will be of two types. The instructor creates one type and the other is created from old AP questions. “AP type” quizzes/tests will be graded on a scale of 1-5 just like the AP exam, using AP scoring guidelines. When counted in your grade you just need to add 5 to your score and take the total out of 10 points. So a “2” -> 2+5 = 7-> 7/10 = 70%; a “3” -> 3+5 = 8-> 8/10 = 80%, etc. These types of quizzes/tests are intended to give you practice with the AP format as well as test your understanding of the material. Tests are given at the end of major units and are typically longer than quizzes. Test questions will be pulled from various sources including past AP exams. The format will be similar to the AP test in that it will include both multiple choice (no-calculator) and free response (calculator allowed) types of problems. This is the same type of format as the actual AP exam. Honor Code Pledge: On each graded assignment (except warm-ups and presentations), all students must sign the honor pledge: “No aid given, received, or observed.” By signing, students affirm that they have not cheated off of 2006-07 another student’s work, allowed another student to cheat off of their work, or observed any of their fellow students cheating. Failure to sign the pledge will result in a conference with the student and possible disciplinary action and/or loss of credit for the assignment. As an honor student, you are expected to possess a high level of integrity and ethics. Laboratory Work and Reports: Laboratory experiments will be performed periodically to explore key concepts. Equipment will be provided and I will be there to assist if you get stuck. (Increasingly, the AP exam is including experiment-based questions on the test.) For each experiment, you will be expected to write a report in a format you will soon receive. Since you will be given class time to discuss you findings with your group, you are expected to work together to insure that each member of the group is able to turn in a quality product. However, this does not mean you can turn in identical reports. Students must turn in THEIR OWN report, HAND-WRITTEN, in their lab notebook (Mead quadrille, 100 sheets, 5 squares per inch). The consequences for plagiarism, as outlined in the student handbook, will be used. A member who consistently lets his/her partners down may be removed from the group until he/she demonstrates a willingness to do the work. Below is a list of labs students will perform in class. The format of all labs will be student conducted with a teacher provided goal in mind or problem to solve. Discovery type labs are designed to have students discover a new physical concept. Problem solving labs are designed to have students deploy their knowledge and skill of physical concepts to solve a problem in the lab. Students are expected to determine an appropriate lab setup and what data is to be taken. Once students have data, graphs will be used to analyze the data and explore relationships. Also, particular attention will be given to the analysis and minimization of experimental errors. Below is a list of experiments for the year, others may be added as time/need permits: Lab Tennis Ball Lab Goal/Concept Explore the concepts of accuracy and precision Units Familiarize students with various units in a concrete way Deploy concepts of kinematics and projectile motion Explore concept of nonuniform acceleration and terminal velocity, calculus deployment Discover the idea of torque and rotational equilibrium using masses balancing on a meter stick & fulcrum Deploy rotational equilibrium concepts to solve problem Measure moment of inertia, apply dynamics Ballistics Lab Air Resistance Lab (coffee filters) Torque discovery Torque practicum Rotational Dynamics Lab Time 100min. data collection, +200min data analysis, +1-2hours for writeup 48 min Skills Measurement, graphing, error anaylsis 148 min lab time, 1-2 hours writeup Measurement, data analysis 148min lab time, 1-hour writeup Measurement, data analysis, graphical analysis, numerical modeling Measurement, data analysis, numerical modeling 100 min. data collection 30 min writeup Measurement 148 min. lab time 30 min. writeup Measurement, numerical modeling 248min lab time 1-2 hour writeup Measurement, numerical modeling, error analysis 2006-07 Atwood lab practicum 2D collision lab SHM lab Orbital Mechanics Lab (using astronomical data from Internet sources) Fluid Flow lab Hovercraft engineering project priciples to predict system behavior Determine the mass of a mystery object using an Atwood machine Explore conservation of momentum concepts Discover the relationships for the period of oscillating systems Discover Kepler’s laws and explore orbital energy and momentum concepts Discover/explore fluid mechanics concepts Deploy physics knowledge & skills to create a working hovercraft 200min lab time 1-2 hour writeup Measurement, error analysis 150min lab time 1-2 hour writeup 200min lab time 1-2 hour writeup Measurement, graphical analysis & modeling Measurement, graphical & mathematical modeling, error analysis 148 min lab time 1-2 hour writeup Graphical and mathematical modeling, error analysis 200min lab time 1-2 hour writeup Measurement, graphical & mathematical modeling, error analysis Tool use, problem solving, teamwork 700min lab time Your % score will be computed based on a weighted average of your scores in the following categories: 90-100% A Tests & Quizzes 65% 80-89% B Lab Reports 15% 70-79% C Homework/notes 15% 60-69% D Presentations 5% 0-59% F The scale at left will be used to assign letter grades (I follow normal rules for rounding.) Semester grades will be calculated based on a 40-40-20 formula. Each quarter grade will be worth 40% and the final exam will make up the remaining 20%. NOTE: As this is an AP/dual credit course, students will not be allowed to use their final exam exemption for this class. Grades Extra Help: If you are having difficulty with anything in this course, please see me as soon as you feel that you have a problem. We can schedule a time that is convenient for both of us. I will be available after school on most days, and during conference period. AP Exam: This class follows the AP Physics "C" curriculum as given by the College Board. The AP exam has two parts, Mechanics and Electricity & Magnetism. A separate score is given for each part, and a separate test fee is charged for each part. This course is designed to prepare students for the Mechanics portion of the exam only. If students wish to take both parts, they will need to study for the E&M portion on their own. As a participant in this class and the AP program, you are expected to take the AP exam. You do not need to have an A in this class to do well on the exam! Even if you do not score well, many colleges look more 2006-07 favorably on a student who took the course AND the exam rather than on someone who just took the course. Near the end of each semester, practice AP exams will be given (for a grade) to help you prepare to take the exam in May. Dual Credit: This class is also available for dual credit from Chandler Gilbert Community College (PHYS 121). If you choose to sign up for dual credit, you must fill out the appropriate paperwork and pay the proper fees and tuition as outlined in a handout you will soon receive. You should note that you do not have to take dual credit in addition to the AP exam. Students can do AP exam, dual credit, or both. It is the student's sole responsibility to sign up for the dual credit if you choose to do so. 2006-07 lab period in AP Physics Unit Planning Calendar Monday 48 min. classes Tuesday 100 min. classes 25-Jul AP Physics Wednesday 100 min. classes 26-Jul 27-Jul Thursday 100 min. classes 28-Jul Friday 100 min. classes 29-Jul Lab Clas (min.) (min. 142 19 48 24 Physics Pretest Tennis Ball Lab Tennis Ball Lab Tennis Ball Lab Information cards TEACHER WORKDAY NO SCHOOL Pre-calc Review Pre-calc Review Introduction to Pre-calc Pretest Worksheet Worksheet Limits Graphing Syllabus Calculators TEACHER AP Calculus WORKDAY NO SCHOOL 1-Aug Units activity AP Physics 2-Aug 3-Aug unit vectors mass notation addition & subtraction time 5-Aug Vector Dot Product Vector Cross Product Vectors: Length 4-Aug l0 One Sided Limits Evaluating Limits Precalc review Continuity Intermediate Value Theorem AP Calculus 8-Aug 9-Aug 10-Aug 11-Aug Linear and Angular Review Vector algebra WS velocity Linear/Angular equivalents 12-Aug 24 2006-07 Linear and Angular AP Physics distance connection to vectors acceleration (connection to limits and concept of derivative) Definition of the Derivitive Limits @ infinity AP Calculus Infinite Limits 15-Aug Linear/Rot. Kinematics AP Physics Rolling motion (connection to limits and concept of derivative) Slopes of Parametric eqs. Physics Applications Power Rule 16-Aug 17-Aug Test-Lin/Rot. Kinematics 18-Aug 19-Aug 24 48 24 Ballistics Lab Video Analysis Parametric Equations Product & Quotient Rules Product Rule AP Calculus Quotient Rule 22-Aug Ballistics Lab 23-Aug 24-Aug 2D Motion 25-Aug 26-Aug Projectile Motion AP Physics Sin/Cos derivatives AP Calculus 100 Eponential and log deriv. Sin/Cos derivatives Chain Rule 2006-07 29-Aug 30-Aug 31-Aug Projectile Motion Quiz AP Physics 2-Sep 24 Circular Motion Circular Motion TestDerivatives and Rules Implicit Differentiation Chain rule AP Calculus 5-Sep 6-Sep Implicit Differentiation 7-Sep 8-Sep 9-Sep 20 Test - 2D Motion Relative Motion AP Physics 1-Sep LABOR DAYNO SCHOOL Applications of Derivatives Related Rates LABOR DAYAP Calculus NO SCHOOL 12-Sep Air Resistance Lab 13-Sep 14-Sep Air Resistance Lab 16-Sep Newton's Laws AP Physics Statics Applications of Derivatives AP Calculus 15-Sep Test- Area under Graphs Antiderivatives 148 24 2006-07 19-Sep AP Physics 20-Sep 21-Sep 22-Sep Newton's Laws Newton's Laws Newton's Laws Statics Statics Statics Definite Integrals Fundamental Theorem of Antiderivatives AP Calculus 23-Sep 24 FTC & applications AP Problems Calculus 26-Sep Statics Quiz AP Physics 27-Sep 28-Sep Torque Rotational Equilibrium torque discovery activity 29-Sep 200 24 Torque Rotational Equilibrium rot. Eq. lab practicum Integration by substitution AP Problems 30-Sep Integration by substitution AP Calculus 3-Oct 4-Oct 5-Oct 6-Oct 7-Oct AP Physics INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION AP Calculus INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION 10-Oct 11-Oct 12-Oct 13-Oct 686 237 29% 14-Oct AP Physics INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION AP Calculus INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION 17-Oct 18-Oct Torque 19-Oct 20-Oct Moment of Inertia 21-Oct 20 2006-07 AP Physics TEACHER WORKDAY Rotational Equilibrium NO SCHOOL Integration by substitution Integration by substitution TEACHER AP Calculus WORKDAY NO SCHOOL 24-Oct Moment of Inertia 25-Oct 26-Oct Test-Newton's Laws:Statics 27-Oct 28-Oct 24 Energy and Work AP Physics Test Integration Numerical Methods Numerical Methods Review of Natural Log AP Calculus 31-Oct Energy and Work 1-Nov 2-Nov Work and Springs 3-Nov 4-Nov 24 Work and Calculus Work and Springs AP Physics Diff and Int of ln(x) Natural Logs Diff and Int of ln(x) AP Calculus 7-Nov 8-Nov 9-Nov 10-Nov 11-Nov 20 2006-07 Work and Calculus Power and Kinetic Energy Power and Kinetic Energy Rotational Kinetic Energy AP Physics Diff and Int of ln(x) VETERANS DAY NO SCHOOL Exponential Functions VETERANS DAY AP Calculus NO SCHOOL 14-Nov Rotational Kinetic Energy 15-Nov 16-Nov Potential Energy Growth and Decay Bases other than e AP Calculus 21-Nov 22-Nov 18-Nov 23-Nov Growth and Decay 24-Nov 25-Nov Rotational Conservation of Kinetic Energy Energy Lab AP Physics THANKSGIVING THANKSGIVING NO SCHOOL Area between 2 curves AP Calculus 24 Potential Energy Conservation of Energy AP Physics Exponential Functions 17-Nov NO SCHOOL Volume: Disk Method THANKSGIVING THANKSGIVING NO SCHOOL NO SCHOOL 100 14 2006-07 28-Nov Rotational Kinetic Energy Lab 29-Nov 30-Nov Rotational Kinetic Energy Lab 1-Dec 2-Dec 148 24 Test-Work, Energy AP Physics Even More Disky Volumes AP Volume problems AP Volume problems AP Calculus 5-Dec Linear Momentum 6-Dec 7-Dec Linear Momentum 8-Dec 9-Dec 24 Angular momentum AP Physics Test- Areas and Volumes Test- Areas and Volumes Volume: Shell Method AP Calculus 12-Dec Angular momentum 13-Dec 14-Dec Angular momentum 15-Dec 16-Dec 2D & 3D collisions AP Physics Volume: Shell Method AP Calculus Mom. Of Inertia Calculations AP Volume problems 24 2006-07 19-Dec 20-Dec 21-Dec 22-Dec AP Physics FINAL EXAMS FINAL EXAMS REVIEW REVIEW FINAL EXAMS FINAL EXAMS 23-Dec TEACHER WORKDAY 248 203 12% NO SCHOOL 21% FINAL EXAMS FINAL EXAMS AP REVIEW FINAL EXAMS FINAL EXAMS Calculus REVIEW 26-Dec 27-Dec 28-Dec 29-Dec TEACHER WORKDAY 30-Dec AP Physics INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION AP Calculus INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION 2-Jan 3-Jan 4-Jan 5-Jan 6-Jan AP Physics INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION AP Calculus INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION 9-Jan 10-Jan 11-Jan 2D Collision Lab AP Physics 12-Jan 13-Jan 200 20 100 20 2D Collision Lab AP Collision Problems TEACHER WORKDAY NO SCHOOL Arc Length and Surfaces of TEACHER AP Calculus WORKDAY Arc Length and Surfaces of Revolution Revolution NO SCHOOL 16-Jan AP Physics MLK Holiday 17-Jan 2D Collision Lab AP Collision Problems 18-Jan 19-Jan AP Collision Problems elastic and inelastic 20-Jan 2006-07 kinetic energy conservation NO SCHOOL Extrema AP Calculus MLK Extrema Holiday NO SCHOOL 23-Jan AP Collision Problems 24-Jan 25-Jan AP Collision Problems 26-Jan 27-Jan 24 Springs and Collisions AP Physics Mean Value Theorem Mean Value Theorem First Derivative Test AP Calculus 30-Jan Springs and Collisions 31-Jan First Derivative Test Second Derivative Test 1-Feb Test Collisions 2-Feb 3-Feb 24 Harmonic Motion AP Physics Optimization Newton's Method Optimization AP Calculus 6-Feb Harmonic Motion AP Physics 7-Feb Harmonic Motion 8-Feb 9-Feb SHM Lab 10-Feb 100 24 2006-07 Test Integration & Extrema Newton's Method Differentials AP Calculus 13-Feb 14-Feb 15-Feb SHM AP problems SHM Lab 16-Feb 17-Feb 48 24 Test - SHM AP Physics Integration by Parts Differentials Integration by Parts AP Calculus 20-Feb 21-Feb 22-Feb Gravity and Circular Motion AP Physics 23-Feb 24-Feb 20 Gravity and Circular Motion Gravity and Energy PRESIDENT'S DAY NO SCHOOL Integration by Parts Trig Integrals PRESIDENT'S AP Calculus DAY NO SCHOOL 27-Feb Gravity and Energy 28-Feb Gravity and Energy 1-Mar 2-Mar Orbital Mechanics Lab 3-Mar 100 24 2006-07 Gravity and Ang. Momentum AP Physics More Trig Integrals Improper Integrals Trig Substitution AP Calculus L'Hopital's Rule 6-Mar 7-Mar 8-Mar Gravity and Ang. Momentum Orbits 9-Mar 10-Mar 24 Test - Gravity AP Physics Inverse Functions Inverse Trig Functions Completing the Square AP Calculus 13-Mar 14-Mar 15-Mar 16-Mar 17-Mar 548 208 AP Physics INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION AP Calculus INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION 20-Mar 21-Mar 22-Mar 23-Mar 26% 24-Mar AP Physics INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION AP Calculus INTERSESSION INTERSESSION INTERSESSION INTERSESSION INTERSESSION 27-Mar 28-Mar Fluid Flow Lab AP Physics TEACHER WORKDAY NO SCHOOL 29-Mar 30-Mar Fluid Flow Lab 31-Mar 200 20 2006-07 Slope Fields Euler's Method TEACHER AP Calculus WORKDAY NO SCHOOL 3-Apr Review for AP Exam 4-Apr 5-Apr Review for AP Exam 6-Apr 7-Apr 24 Review for AP Exam AP Physics Review for AP Exam Review for AP Exam Review for AP Exam AP Calculus 10-Apr Review for AP Exam 11-Apr 12-Apr Review for AP Exam 13-Apr 14-Apr 24 Review for AP Exam AP Physics Review for AP Exam Review for AP Exam Review for AP Exam AP Calculus 17-Apr Review for AP Exam AP Physics 18-Apr Review for AP Exam 19-Apr 20-Apr Review for AP Exam 21-Apr 24 Review for AP Exam 2006-07 Review for AP Exam Review for AP Exam AP Calculus 24-Apr Review for AP Exam 25-Apr 26-Apr Review for AP Exam 27-Apr 28-Apr 24 Review for AP Exam AP Physics Review for AP Exam Review for AP Exam Review for AP Exam AP Calculus 1-May Review for AP Exam 2-May 3-May Review for AP Exam 4-May 5-May 24 Review for AP Exam AP Physics AP Calculus Exam 8:00am Review for AP Exam AP Calculus 8-May AP Physics exam 12:00pm AP Physics 9-May Hovercraft engineering design & build project 10-May 11-May Hovercraft engineering design & build project 12-May 200 24 2006-07 AP Calculus 15-May Hovercraft engineering design & build AP Physics project 16-May 17-May Hovercraft engineering design & build project 18-May 19-May 248 24 26-May 248 24 Hovercraft engineering design & build project AP Calculus 22-May Hovercraft engineering design & build AP Physics project 23-May 24-May Hovercraft engineering design & build project 25-May Hovercraft engineering design & build project AP Calculus 29-May Final exams AP Physics 30-May Final exams 31-May 1-Jun 2-Jun 896 218 Final exams 41% 2006-07 AP Calculus