Advanced Placement Calculus AB – Mrs



Advanced Placement Calculus AB – Mrs. Johnson

Course Description: AP Calculus AB develops the student’s understanding of single-variable calculus and includes the following topics: functions, limits, derivatives, applications of derivatives, integrals, applications of integrals, and the Fundamental Theorem of Calculus. Content is equivalent to at least a semester of calculus at most colleges. Algebraic, numerical, graphical, and verbal representations, and the connections among them are emphasized. The course stresses an understanding of the underlying concepts of calculus as well as the computational skills needed to solve problems. Technology will be used to help solve problems, experiment, interpret results, and justify work done with paper and pencil. Upon completion of the course, students should be able to communicate mathematics in writing and verbally, and should appreciate the beauty of calculus as a coherent body of knowledge.

One of the goals of this course is for students to achieve a level of understanding and competency that will allow them to score well on the AP Exam and receive college credit for their work this year.

The AP Exam in Calculus will be given on Monday May 9, 2022 at 8am

AP Calculus is a rigorous and demanding course. Students will find it to be more difficult than any other math course they have previously taken. Because the work in AP Calculus is college-level work, expectations for students are also set much higher in this course. Being successful in the course requires dedication and hard work. Some students may experience “grade shock” and realize that just working in class may not be enough to be as successful as they were in previous classes.

Expectations:

• Students will dedicate more time and effort to math than in previous years. This may include coming for help regarding individual questions that we do not have time to address in class. Extra class sessions, especially near exam time, may be necessary.

• Students will work and learn both independently and in collaborative settings.

• Students will complete assignments during school breaks.

• Students will treat assignments as an opportunity to learn rather than just a task to be completed.

• Students approach each topic with the intention of mastery and long term retention.

• Students actively participate in the classroom. This includes asking questions, giving answers when asked, taking notes, participating in discussions and group projects, and completing any assigned class work.

Class Norms:

• All school rules are always in effect. (See Student Handbook and Guilford County Handbook)

• Come to class prepared and on time.

• Behave appropriately at all times.

• Be respectful of self, peers, adults, and property.

• No cell phones, headphones, or personal grooming.

• Avoid any form of academic dishonesty including copying assignments, googling for answers on the internet, and cheating on tests. Incidents of academic dishonesty, even if minor, are taken seriously and will be disciplined in accordance with school policy.

Contact Information:

e-mail: johnsoe@ (e-mails sent after 9 pm will not be answered until the following day)

phone: 336 454 7400

Assignments:

• Daily homework assignments may deal with both current and prior topics. The goal of homework assignments is to reinforce the content studied in class; it is a learning process. A limited amount of class time will be spent reviewing hw. Students are responsible for getting help from me regarding questions that we do not have time to address in class. (See Tutorial Times) Some hw assignments will be collected to provide feedback (formative assessment). Students will be notified in advance if an assignment will be graded.

• Graded assignments consist of 2 – 6 free response questions (FRQ) similar to those found on AP exams and graded according to AP rubrics. Detailed instructions will be given in class.

• For most units, we will do multiple class activities that may be completed in a collaborative group, in pairs, or individually. You will be given a grade upon successful completion of the activity. Most activities will be timed to prepare you for the time constraints of the AP exam. If you are unable to complete the activity, you may receive partial credit if you demonstrate understanding of the topic. Failure to participate in the activity will result in a zero.

Quizzes/Tests:

Some type of graded experience, either a test or quiz, will be given weekly in addition to the FRQ assignment. Tests are timed and consist of both multiple choice and free response questions in order to prepare students for the format of the AP Exam. Retests are not allowed. A multiple-choice nine weeks test will occur at the end of each quarter. Students may use this test score to replace their lowest test grade for that quarter.

Grades:

• Quarter grades will be determined by using the formula:

Tests 60% Quizzes 15% FRQs 15% Assignments 10%

• Final grade for the class will be calculated as follows:

First Quarter 40%

Second Quarter 40%

Final Exam 20%

Tutorial Times:

• Peer Tutoring Tuesday afternoons from 4:20-5:00

• Other times upon request at least one day in advance.

• Recommended free tutorial web sites: ; ; paul’s online notes;

Required Materials: Bring to class every day!

Text, unless told otherwise

*Math binder (2“) with notebook paper

Pencils

**Graphing calculator with batteries (TI-83 or 84)

* Each student should maintain a notebook that is neat and organized. When reviewing for the AP Exam, students must have easy access to all the material covered throughout the year. Although there is no specific requirement for the type of notebook used for notes and homework, each student must have a loose-leaf binder to keep any handouts. FRQ’s should be kept in a separate section of the binder. The notebook will not be graded.

**A graphing calculator is necessary for exploring and reinforcing concepts in Calculus. In order for students to make connections among various concepts and representations, it is assumed that they will have access to graphing calculators both in class and for homework. Being proficient at the use of a graphing calculator is essential for success on the AP Exam. A portion of the AP Exam requires the use of a graphing calculator, while another portion prohibits its use. Students should not be dependent upon the calculator for basic computations! Tests will contain both calculator and calculator inactive parts.

Make-up Policy:

Keep absences to a bare minimum! Consistent attendance and punctuality is crucial to success.

• Check Canvas to keep up with assignments

• In accordance with GCS policy, tests, homework and classwork missed due to absence should be made up within three (3) days after returning to school.

• Failure to make-up work in the required time frame will result in a zero.

• If you are absent for a field trip or athletic event, get your assignments before the trip. They are due the day you return.

• Follow RHS guidelines for absences, early dismissals, and tardies.

ONLINE CLASSROOM RESOURCES

You will need to sign up for the following online resources that will be utilized in class and for assignments outside of class

REMIND: @calc4rhs

DELTA MATH: Code: 239540

AP Classroom

Course and Pacing

Units with a selection of topics from that unit. Subject to change.

Unit 1 – Limits and Continuity ~4 weeks: Algebraically and Graphically determine limits, Squeeze Theorem, Definition of Continuity, Intermediate Value Theorem

Unit 2 – Differentiation – definition and basic rules~2 weeks: Average v. Instantaneous Rate of change, Derivative notation, Algebraic Rules for Derivatives, Derivatives of Trig functions and transcendental functions

Unit 3 – Differentiation – Composite, inverse, and implicit ~2 weeks: Chain rule, derivatives of inverse functions, derivatives of inverse trig functions, higher-order derivatives

Unit 4 – Differentiation – Contextual Applications~3 weeks: Straight-line motion, related rates, linearization, L’Hospital

Unit 5 – Differentiation – Analytical Applictions~3 weeks: Mean Value and Extreme Value Theorems, Extrema, First and Second derivative tests, graphing functions from derivatives, optimization

Unit 6 – Integration – Intro and Accumulation~3 weeks: Accumulation, Riemann Sums, Definite and Indefinite integrals, Fundamental Theorem of Calculus

Unit 7 – Differential Equations~ 2 weeks: Modeling with differential equations, slope fields, finding a particular solution

Unit 8 – Integration – Applications ~3 weeks: Average Value, PVA, Area between curves, Volume with Cross Sections, Volume with Disc and Washer methods

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