Download Semester 2

Newmarket High School
Mathematics Department Course Information for Students
First Day Handout
2015-2016
Advanced Placement Calculus Part II – Grade 12, MCV4UP
Credit Value:
1.0
Prerequisites:
MHF4UP
Teacher:
Marcel te Bokkel
Teacher Contact Information:
Office location: Math Office, room 306
E-mail: [email protected]
Teacher web site: http://mtebokkel.abel.yorku.ca/
Calculus: Graphical, Numerical, Algebraic (a.k.a. BLUE)
Text:
Calculus: A First Course (a.k.a. RED)
Rationale:
Geometry and Discrete Mathematics, Dunkley R. et all, Harcourt
Canada, 2002
The Advanced Placement Program administered by the College
Board originated in the United States in the late 1950s. To officially
complete an AP course you need to write the official AP exam.
There are several advantages in doing well on this exam. Students
may earn college credit, and/or exemption from lower-level
requirements of specific disciplines. But that aside, the academic
challenge and higher analysis of knowledge gained in an AP course
and required for its exam will allow you to be more successful in first
year university calculus than your peers taking the regular calculus
course.
This particular AP course is intended for students who have been
very successful in math throughout their high school career. The
thrust of the work will be to prepare the student to take the AP
Calculus AB examination to be written on May 4, 2016.
Rationale
(cont’d):
This course builds on students’ experience with functions and
introduces the basic concepts and skills of differential and integral
calculus. Students will investigate and apply the properties of
polynomial, exponential, and logarithmic functions; broaden their
understanding of the mathematics associated with rates of change;
and develop facility with the concepts and skills of calculus as
applied to polynomial, rational, exponential, and logarithmic
functions. Students will also solve problems involving geometric and
Cartesian vectors, and intersections of lines and planes in three
space.They will also be introduced to methods of proof, using
deductive, algebraic, vector, indirect methods and mathematical
induction.
This course enables students to broaden mathematical knowledge
and skills related to abstract and concrete mathematical topics and
to the solving of complex problems.
Topics:
Unit Title
Content
Applications of
Derivatives
Derivatives
Anti-Derivatives
Area Under a Curve
Integration Rules
Application of Integrals
Slope Fields
Volumes of Rotation
Geometric
Algebraic
Applications
Working Backwards
Mathematical
Modeling
Vectors
Lines and Planes
Equations of lines and planes in 2D
and 3D
Matrices
Intersections of lines and planes
Total
Number of
Hours
20
25
20
20
25
110
Equipment:
Be prepared with pen and pencil, 3-ringed binder with dividers, paper
(lined and graph), and textbook, ruler, TI-83 + calculator and your
enthusiasm.
Software:
Geometer’s Sketchpad: graphical representation of geometric
situations
Winplot: graphing functions and relations
TI-Smartview: TI-83+ calculator interface
Communication:
Evaluation:
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Course Website: http://mtebokkel.abel.yorku.ca/
Extra-help: In-class extra help is available during the last 20
minutes of class. This is your first avenue to seek should
problems arise. Out-of-class extra help is available during
lunch or after school. Just let me know that you are coming
ahead of time either by email or speaking with me in person.
Evaluation is based on the four Ministry of Education achievement
categories of knowledge and understanding, thinking/inquiry,
communication, and application/creation. A single evaluation may
include one or more of the above categories. Evaluation will include
a variety of assessment methods (e.g. assignments, projects,
quizzes, practical exercises, presentations, tests, test corrections
and exam). The distribution of marks into a grade is based on the
departmental assessment and evaluation guide for the course and
will reflect the student’s most consistent level of achievement where
appropriate. Comments on the development of learning skills and
contributions to the course will also be provided on reports.
Term
Knowledge and Understanding
Application
Thinking
Communication
15%
20%
25%
10%
Calculus Summative
Vectors Final Examination
15%
15%
70%
Course End
Total
30%
100%
Late Work/
Missed Tests:
Minor assignments can be handed in up until the teacher has
returned the evaluated work. This is usually done by the next class.
Missed tests due to illness need to be accompanied by a medical
note on the first day back to class. In the event that a known
appointment causes a missed evaluation, your teacher must be
notified before the missed evaluation. The evaluation must be
rescheduled for a time in agreement with the teacher
Final
Evaluation:
The Summative will be related to Calculus topics with the purpose of
preparation for the AP Calculus AB exam. Its format will be 15
Multiple Choice problems and 4 Free Response Problems. This will
be completed in class.
It is expected that all students will write the AP College Board exam.
It will be written from 8am to noon on Wednesday May 4, 2016. It
follows the format of the Advanced Placement Calculus exam
administered by the College Board: (1) a multiple choice section
testing proficiency in a wide variety of topics, and (2) a free-response
section requiring the student to answer open-ended questions and to
complete one task involving more extended reasoning. The cost for
taking this exam is approximately $120 Cdn. This exam does not
contribute to your course mark.
The final written examination in June will be an MCV4U examination
– only covering the Ontario Ministry of Education expectations.
Note Taking:
The teacher(s) will provide students with a regularly updated
daybook page which will describe the activities done in class each
day and which will list any Mimio notes, as well as handouts,
homework, assignments and important dates.
Students will be responsible for maintaining a complete notebook
which may include the following sections– a complete copy of all
mimio summary notes, a homework section, all assessments and
evaluations in one section, and all journals in a final section.
Students are encouraged to complete all assigned work using paper
and pencil, but there will be occasions for use of Word, Geometer’s
Sketchpad or other software packages for the completion.
Expectations:
To protect your learning environment and the quality of the program
that you will need for further progress in mathematics, it is important
that you:
 Bring the proper equipment
 Do your homework; don’t fall behind.
 Arrange a time with me to get extra help if you do not
understand the material after it has been taken up.
 If you have concerns about your progress, you should
discuss them with me right away.
Mathematics is a skill subject that demands regular practice. Your
understanding of the new material depends on your skill with
previous concepts. To maximize your performance, it is important
that you:
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Classroom
Guidelines:
Get all notes and homework questions with corrected
solutions into your notebook, if you have been absent, borrow
from a classmate; your notebook is your best study guide.
Inform me ahead of time if you know you will be absent for a
class or classes.
Any student missing a test will have an opportunity to write a
make up test upon their return to school, provided that: (a) I
have been informed of a school related absence before the
test or (b) in case of illness I have been informed by email
before your class on the day of the test. No test marks will be
dropped. See department policy.
There are a number of positive ways in which to contribute to the
learning environment of the classroom:
 Provide answers orally and/or put solutions on the board
 Ask questions! Don’t be afraid to take a risk
 Help others – both in your group and with individual problems
 Keep your mind open – each year is a fresh start and a new
opportunity, this course is different from other mathematics
courses that you have taken.