Norcross High School
High School Course Syllabus
Course Title AP Calculus BC/IB Math II HL Term Fall, 2015; Spring, 2016
Teacher Mrs. Michelle Larate room # B102
Email Address
/Teacher Support
(Help sessions etc.) / I am available for extra help each morning beginning at 6:45 am and afterschool on Thursdays. Peer tutoring is available after school on Tuesdays and Thursdays.Course Description (Published in the Choice Book)
This is a two – semester course option. Topics include limits, derivatives and integrals of algebraic and transcendental functions, continuity, applications of derivatives to related rates, maxima and minima, curve sketching, integration formulas, applications of the definite integral, methods of integration, graphing, and integrating in polar coordinates, infinite sequences and series, power series, vectors, and differential equations. The objectives for this course follow the College Board syllabus, preparing students for the optional Advanced Placement exam.
Prerequisite - Meets achievement criteria for Accel. Integrated Precalculus or IB Math I HL.
Course Curriculum Content
The entire list of College Board Standards for this class are available in the “AP Calculus Course Description”
document on the College Board web site: http://apcentral.collegeboard.com/apc/public/courses/teachers_corner/2178.html
College Board Goals / Units / Topics• Students should be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations.
• Students should understand the meaning of the derivative in terms of a rate of change and local linear approximation, and should be able to use derivatives to solve a variety of problems.
• Students should understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and should be able to use integrals to solve a variety of problems.
• Students should understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
• Students should be able to communicate mathematics and explain solutions to problems both verbally and in written sentences.
• Students should be able to model a written description of a physical situation with a function, a differential equation, or an integral.
• Students should be able to use technology to help solve problems, experiment, interpret results, and support conclusions.
• Students should be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
• Students should develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. / I. Functions, Graphs, and Limits
• Analysis of Graphs
• Limits of Functions (including one-sided limits)
• Asymptotic and Unbounded Behavior
• Continuity as a Property of Functions
• Parametric, Polar, and Vector Functions
II. Derivatives
• Concept of the Derivative
• Derivative at a Point
• Derivative as a Function
• Second Derivatives
• Applications and Computation of Derivatives
III. Integrals
• Interpretations and Properties of Definite Integrals
• Applications of Integrals
• FundamentalTheorem of Calculus
• Techniques and Applications of Antidifferentiation
• Numerical Approximations to Definite Integrals
IV. Polynomial Approximations and Series
• Concept of Series
• Series of constants
• Taylor Series
Instructional Materials and Supplies
Published Materials / Instructional SuppliesCalculus: Graphical, Numerical, Algebraic, Scott Foresman/Addison Wesley
Cost: $97.47 / 1) Paper, Pencils, and 3-Ring Binder (large)
2) Graphing Calculator (TI-83/84/89)
Assignments / Grade Weights 1st Semester / Grade Weights 2nd Semester / Grading Scale
AP Problems/Homework
Quizzes
Tests
Performance Final Exam
Objective Final Exam / Formative Assessments 35 %
· Homework 5%
· AP Problems 5%
· Quizzes 25%
Interim 2%
Summative Assessment 43 %
Final Exam 20%
· Performance Final 5%
· Objective Final 15% / Formative Assessments 35 %
· Homework 5%
· AP Problems 5%
· Quizzes 25%
Interim 2%
Summative Assessment 43%
Final Exam 20%
· Performance Final 5%
· Objective Final 15% / A: 90 and above
B: 80 – 89
C: 74 – 79
D: 70 – 73
F: 69 or below
Evaluation and Grading
Other Information
Expectations for Academic Success / Additional Requirements/Resources1) Get your classwork and homework done
2) Participate in class
3) Get to class on time
4) Ask questions
5) Be respectful to the teacher and fellow classmates
6) Do your own work-cheating earns a zero and a parent contact
7) Challenge yourself to continuously improve / Peer Tutoring Available Tuesday & Thursday
Make sure to get help at the first sign of trouble-do not wait until the day of the test/quiz!
Being organized is very importantJ
Questions are free…Mistakes can be costly! ASK!!
Classroom Rules
Any violent or threatening behavior will result in immediate dismissal from class to see an administrator. Two warnings will be given for all other rule violations, than a detention will be issued.
All Norcross High School Student Handbook policies and rules will be followed.
Attendance
1. Regular attendance is expected.
2. Make-up work must be completed within two days of an excused absence. It is the student’s responsibility to find out what
work needs to be made up from my web page and to get missed notes from a classmate.
3. Failure to complete missed work will result in a zero for the assignment.
4. All work missed during an unexcused absence will receive a grade of zero.
5. If you are absent the day of a quiz or test, you must take the quiz or test on the day you return.
Homework
1. Homework is to be expected every day, including weekends.
2. All homework must be done in pencil, dated, and properly labeled (pages/problem numbers) or it will not be accepted.
3. Homework will be reviewed in class the day it is due and checked for completion.
4. Homework may be turned in late three times during the semester for full credit. It will only be accepted one day late.
The syllabus may be updated as needed throughout the year.