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AP Calculus AB: Course Outline & Expectations

 

COURSE DESCRIPTION:  This course is designed for students who have completed one semester of Honors Calculus.  After a brief review of the calculus-basics learned in the previous course, students will begin an extensive review of limits, differentiation, and integration, all with an AP focus.  The primary means of review and practice will be through the completion of past AP exam questions, as well as additional handouts.  Though AP Calculus focuses primarily on preparing students for the AP examination, students are not required to take the AP exam; choosing to take or not take the exam will in no way affect the grade a student receives at Woodstock Academy.

COURSE SEQUENCE:

  • Pre-Test:  Completion & Review of a selected AP Examination
  • Topic Review:  Functions, Graphs, Limits, Continuity
  • Topic Review:  Differentiation
  • Applications of Differentiation
  • Topic Review:  Integration (including Logs, Exponentials, Trig, and other functions
  • Application of Integration
  • Post-Test:  Completion & Review of an additional AP Examination
  • 2009 AP Calculus Examination:  May 6th
  • Addition Topics from Honors Calculus Textbook:  Integration By Parts, Trig Powers, Trig Substitution, Partial Fractions...

GRADING:  Your grade will be determined in the following manner:

  • Tests:  50%
  • Quizzes:  30%
  • Homework:  10%
  • Participation:  10%

Cumulative Final Examination:  20% of overall grade for the course

DESCRIPTION OF ABOVE ITEMS:

TESTS: At the end of every major unit, you will be given a unit test.  This test will be comprised of questions taken directly from previously released AP examinations (both multiple choice & free response questions).  Each unit test will be graded like an actual AP exam, meaning that multiple choice questions are graded as right or wrong (no partial credit) and the majority are done without a calculator.  Free response questions will also be graded out of a 9 point scale, as are the actual AP questions.  A portion of the free response section will also be done without a calculator. 

TEST GRADING: Each test will be scored out of 108 (the AP exam total) and your total out of 108 will be converted to an AP score out of 5.  In addition, I will then convert your total to a score out of 100.  The class grades will be averaged and whatever is needed to bring the average up to an 85 will then be added to each paper.  No scores beyond 100 will be recorded in my book, however. 

QUIZZES:  Weekly Open-Notebook Quizzes:  Each week you will receive a set of 6 free response questions.  Each question will count as a quiz.  Each question will be graded out of 9 points, as are the free-response questions on the actual AP exam.  You may drop one out of every 6 quiz questions (as long as all six have been attempted).   In order for you to benefit the most, I will drop your lowest x-number of quizzes over the course of the semester, not just the lowest per week.  For example, say we do 12 sets of 6 questions.  I will drop the lowest 12 wherever they occur throughout your total of 72.  You may use your notes to complete these quizzes since they will parallel what we are reviewing in class.  Because of the format of the AP exam, 3 of the 6 questions will be completed without a calculator. 

POP-QUIZZES:  Each week, you can expect to receive at least two pop quizzes. 
  • Quiz A (Scored out of 54):  will parallel the topic we are reviewing in class.  This quiz may be a new free response question, a set of multiple choice questions or a combination of both.  Your lowest pop quiz will be dropped at the end of the marking period. 
  • Quiz B (Scored out of 9 and then tripled): will be a free response question that has previously been completed as part of your weekly take-home quizzes.  One question out of the cumulative number of weeklies will be drawn from a box and that question will then be completed (again) in class.  Your lowest "Box" quiz will also be dropped at the end of the marking period.

HOMEWORK:  Homework will be assigned on a daily basis.  Each assignment will be graded on a 10-point scale.  Please scroll down to the bottom of the webpage to see the homework rubric.

Assignments that are not done for the due-date will automatically receive a grade of 0.  These assignments cannot be made up.  If you are absent the day an assignment is due, you will have 2 days to make up the assignment.  If it is not completed within the 2-day period, it will receive a grade of 0.

DAILY CLASS-WORK & PARTICIPATION RUBRIC:  Please scroll down to the bottom of this webpage to see the participation rubric.  Students will be assessed using this rubric twice each marking period.

Calculuator Usage in AP Calculus

Students are expected to be able to:

  1. Use the table feature to evaluate functions
  2. Set their table in order to enter x-values (Independent Variable set to ASK and not AUTO).
  3. Find the point(s) of intersection of 2 functions (graphically)
  4. Solve trigonometric equations using the inverse trig keys on the calculator
  5. Understand the meaning of an answer presented in radians (and not convert back to degrees – the calculator is set only to radians throughout both semesters of Calculus).
  6. Use the Quadratic Formula (installed as a program on their calculator) 
Students are taught how to:
  1. Solve a function by finding the zeros (graphically; using the zero feature).
  2. Use the table feature to evaluate limits numerically.
  3. Use the trace and zoom features to analyze limits graphically.
  4. Use the Minimum and Maximum features to verify mins and maxes (2nd Trace, options #3 & #4).
  5. Find the derivative of a function at a point (graph; 2nd Trace; select #7:dy/dx)
  6. Find the value of a definite integral (graph; 2nd Trace; select #8) 
Without the Calculator:
  1. Students are expected to have the coordinates of all first quadrant trig values memorized (pi/6; pi/4; p/3) as well as be able to quickly generate the values for all corresponding reference angles.
  2. Solve quadratic equations using the Quadratic Formula (formula memorized and manipulated without a calculator).   
Useful Information:During the AP exam, students are able to bring with them and use any programs that they wish.  These programs may be used on only half of the exam (as half is non-calculator and half is calculator permitted).  For all calculator-permitted free response questions, students must show their set-up and then their final answer.  On multiple-choice questions, a display of work is not required.

General Algebra 1 Part 1: Course Outline

TEXTBOOK:  Algebra: Tools for a changing world

 

 

COURSE OVER-VIEW:  This course is the basis for subsequent work in mathematics.  Students will be introduced to the fundamental concepts of algebra. This course will be less abstract than SCP Algebra I but word problems will be a part of the course. Students who choose this course should have proficiency in arithmetic skills and be competent in using skills and concepts associated with a Pre-algebra course. Students will have a great deal of teacher guidance in this course.

KEY TOPICS TO BE COVERED:  

Operations on Real Numbers
Properties of Real Numbers
Solving Equations
Problem Solving using Formulas
Operations on Inequalities
Graphing Linear Equations
Function Identification
Properties of Powers
Operations on Powers
Properties of Roots
Operations on Roots
Operations on Polynomials

GRADING POLICY:  Your grade will be determined in the following manner:

  • Tests: 35%
  • Quizzes: 30%
  • Homework: 25%
  • Participation: 10%

There will also be a cumulative final exam worth 20% of your total course grade.

DESCRIPTION OF THE ABOVE CATEGORIES:

TESTS:  These will occur at the end of each chapter.  They will be announced at least 2 - 3 days prior to the test date.  All tests will contain one or more CAPT-like writing questions. 

QUIZZES:  These will be both announced and unannounced.  They will cover material that has been taught and gone over in class. 

HOMEWORK:  Homework from the textbook as well as outside sources will be assigned on a daily basis.  It will be checked on a daily basis.  It is expected that students will keep all homework assignments together in either a 3-ring binder or notebook.  In addition, all homework assignments must be labeled with both the page number and the problems assigned. 

Any assignments not done for their due-dates will automatically receive a grade of 0.  These assignments CANNOT be made up.  If you are absent the day an assignment is due, you will have 2 days to make up the assignment.  If it is not completed within the 2-day period, it will receive a grade of 0.  

HOMEWORK GRADING POLICY:  Each assignment will be graded on a 10-point scale based entirely on effort.  Please see the bottom of this webpage for the 10-point effort rubric. 

DAILY CLASSWORK & PARTICIPATION:  This includes frequent in-class writing, verbal participation, as well as working well with others during activities.  In addition I will grade your participation using the participation rubric found on the bottom of this webpage.  This will occur at least four times a semester. 

PROJECTS:  Over the course of the semester, you may be responsible for various projects.  These will be announced well in advance and each will count as a test grade. 

Policies

Attendance Policy: 

  1. Any student absent from math class due to a late arrival to school, an early dismissal, or a field trip is still responsible for all work missed.  This means that all scheduled tests and quizzes must be made up that day after school (unless you have gone home sick or prior arrangements have been made).  Any major assignment due must also be handed in on its due date to avoid a grade of 0.  Please let me know as soon as possible when you know of any days that you could be absent. 
  2. All assignments, available class-notes, and handouts will be posted on this website.  This site is designed to supplement and enhance your in-class experience as well as provide you with useful class information when you are absent. 

Calculuator Policy: 

  1. Pre-Calculus & Calculus will be taught with the assistance of the TI-83 graphing calculator.  All students at this level should have access to a graphing calculator.  Anyone needing assistance with the TI-83 can see me to schedule an after-school help session.  Students are permitted to use their own calculators on all homework assignments.  However, it may be required (from time to time) that graded, in-class assignments be completed with the use of calculators provided by Woodstock Academy.  This will be to my discretion. 
  2. It is no secret that calculators contain games.  Please refrain from game-playing during class.  The following is my policy for game-playing:  1st Offense:  Warning; 2nd Offense:  Detention;  3rd Offense:  Calculator confiscated and phone-call home. 

Contact Info & Extra Help

Extra Help:  I will be available everyday until 3:00pm in room A302.  Please let me know during the day if you are planning on staying. 

Voicemail & Email:  Main Phone:  963-6592, Extension 573; Email:  ccormier(at)woodstockacademy.org 

Homework & Participation Rubrics

Homework Effort Rubric: 

Homework Score (maximum points possible: 10)Reason for Score
10 points100% of the assignment has been attempted; work has been shown for all problems assigned.
6 – 9 pointsMost of the assignment has been attempted; work has been shown for all problems attempted.  (The grade assigned will be based on how many have been attempted out of the number assigned).
5 pointsHalf of the assignment has been attempted and work has been shown OR the assignment has been attempted but NO work has been shown.
1 – 4 pointsA grade in this range will be assigned based on how many problems have been attempted out of the number assigned.  Work falling in this range is of POOR quality.  Little to no work has been shown and little to no effort has been exerted on the part of the student.
0 pointsNo part of the assignment has been attempted.

Class Participation Rubric: 

 Excellent (2 points)Satisfactory (1 point)Needs Improvement (0 points)Comments/Concerns
Participates on own/raises hand in class often.     
Participates if called on:  does not typically say “I don’t know” or “I didn’t do this one.”       
General attitude in class is positive: student does not typically complain or exhibit negativity.       
Respectful/thoughtful comments/language: student does not use profanity, rudeness, back-talk.     
Pays attention in class:  does not fall asleep, do work for other classes, talk to other students who should be listening, use cell phone to text or communicate with others.    
 Total: