Morgan Park High School
1744 WEST PRYOR AVENUE
CHICAGO, ILLINOIS 60643
Math Department Course Syllabus
Honors Calculus
School Year 2014-2015
Credentials:
Instructor:
DeJuana Joseph
B.S. Biochemistry
Master’s in Secondary Education
Master’s in Pure Mathematics
AP Calculus Certified
IB/MYP Certified
Room: 315
Phone:
773-535-2550
Email: dvjoseph@cps.edu
School website: www.morganparkcps.org
Link to Parent Portal: https://parent.cps.k12.il.us/pc/default.aspx
Link to Student Portal: https://student.cps.k12.il.us/pc/studentlogin.aspx
Course Packet:
AP Calculus Master Math Mentor Course Pack, 2012
Course Fees:
Course Packets- $20
Welcome to Honors Calculus at Morgan Park High School! Calculus is a very powerful mathematical tool which is used
extensively in the fields of science, engineering and economics. Through questioning techniques, group work, student
participation/interaction, and independent student work, students will satisfactorily complete this class with a sense of
achievement. High level, college equivalent work is expected from all students. Thus, the course rigor and grading
standards are held at a very high level. We are focusing on preparing all students to succeed at the collegiate level. Active
participation in the classroom and much independent work are essential parts of this course. Participation includes taking
notes and voluntary participation and cooperation in board work, discussion, and all other classroom activities. Students
also have take-home assessments and projects outside of class.
Course Overview
Honors Calculus is a college level course that offers the student a comprehensive study of Calculus. While this course
curriculum is determined by The College Board, there is no Standardized Exit Exam upon completion of the course.
Students are required to successfully pass all Summative and Formative Assessments, including a comprehensive Final
Exam upon completion of each semester. According to The College Board, “The course emphasizes a multirepresentational approach to Calculus, with concepts, results, and problems being expressed geometrically, numerically,
analytically, and verbally. The connections among these representations also are important.” Honors Calculus is
generally the equivalent of one semester of college calculus. Tests and quizzes will cover material discussed in class, in
the textbook and in the course packet. It is expected that students be able to take ideas from each unit and apply them to
new situations. Tests will be composed of free response and/or multiple-choice questions, some with calculator, and some
non-calculator.
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Course Timeline
Below is an outline of topics along with a tentative timeline. Assessments are given at the end of each unit as well as
intermittently during each unit. Semester finals are also given.
1
Goals: 1) Give students an understanding of and appreciation for all of the topics outlined below. 2) Prepare students for
success in future college level mathematics courses.
Functions and graphs
 Functions
 Domain and range
 Families of function
 Piecewise functions
 Composition of functions
Exponential and logarithmic functions
 Exponential growth and decay
 Inverse functions
 Logarithmic functions
 Properties of logarithms
Trigonometric functions
 Graphs of basic trigonometric functions
 Domain and range
 Inverse trigonometric functions
 Applications
Unit 2 - Limits and Continuity (Weeks 6-11)
Rates of change
Limits at a point
 Properties of limits
 Two-sided
 One-sided
Limits involving infinity
 Asymptotic behavior
 End behavior
 Properties of limits
 Visualizing limits
Continuity
 Continuous functions
 Discontinuous functions
o Removable discontinuity
o Jump discontinuity
o Infinite discontinuity
Instantaneous rates of change
 Tangent lines
 Informal work with derivatives
Definition of the derivative
 Alternate definition
 Right-Hand & Left-Hand derivatives
Differentiability
 Local linearity
 Numeric derivatives using the calculator
 Differentiability and continuity
Rules for differentiation
 Power rule
 Product rule
 Quotient rule
 Second and higher order derivatives
Velocity and rates of change
 Position versus time graphs
 Velocity versus time graphs

Acceleration versus time graphs
Derivatives of trigonometric functions
The chain rule
Implicit derivatives
Derivatives of inverse trigonometric functions
Derivatives of logarithmic and exponential
functions
***SEMESTER EXAM***
Unit 4: Applications of the Derivative (Weeks 2127)
Extreme values
 Local (relative) extrema
 Global (absolute) extrema
Using the derivative
 Mean value theorem
 Rolle’s theorem
 Increasing and decreasing functions
Analysis of graphs using the first and second
derivatives
 Critical values
 First derivative test for extrema
 Concavity and points of inflection
 Second derivative test for extrema
Modeling & optimization problems
2
Lines
 Slope as rate of change
 Parallel and perpendicular lines
 Equations of lines
 Regression Analysis
Unit 3 - The Derivative (Weeks 12-19)
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Unit 1 – Prerequisite Review (Weeks 1-5)
Linearization models
Unit 6 – Differential Equations and Mathematical
Modeling (33-37 weeks)
Related rates
Antiderivatives
Unit 5 - The Definite Integral (Weeks 28-32)
Approximating area underneath a curve
 Riemann sums
 Trapezoidal rule
Definite integrals
 Notation
 Numerical Integration
Definite integrals and antiderivatives
 The fundamental theorem of calculus
 MVT for integrals
 The Average Value Theorem
Application of Definite Integration &Integration
using u-substitution
 Power rule
 Indefinite Integrals
Separable differential equations
 Growth and decay
 Slope fields
 General differential equations
 Applications integrating rates
 Particle Motion
Areas in the plane
 Area between curves
 Integrating with respect to y
Required Materials:
 Notebook/ Dividers – 4 dividers (Homework, Bell Ringers/Exit Tickets, Tests/Quizzes, Handouts)
 Spiral notebook for Notes only
 Loose leaf Paper and Graph Paper
 Pens and No. 2 Pencils, Colored Pencils
 A graphing calculator (TI83+ or TI84 required, TI 89- TI Inspire Suggested) Calculators are not allowed to be
shared during class assignments, quizzes and tests. That is considered cheating per the CPS Uniform Discipline
Code. A calculator loan program is available. Students can borrow a school calculator for the year. Students must
complete and return a contract signed by the student and parent that outlines the details for borrowing a calculator.
 Course Packets
 Internet Access
Teaching Strategies
Each topic is presented using the “rule of four.” That is, graphically, analytically, numerically and verbally. Students are
taught to understand the connections among these representations. They learn to use each part of the rule as appropriate to
solve problems and to explain their solutions. Justifications are expected to include more than the analytic, mathematical
solution. Students are expected to express their ideas in carefully written sentences that validate their process and
conclusions. They are also expected to orally justify their solutions to the entire class when presenting a problem on the
board.
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Calculator use in these classes goes beyond the four listed above. The students are taught how to use graphing calculators
to help solve problems, experiment, interpret results and support conclusions. An emphasis on using the technology
appropriately, along with the analytical methods, allows the student to work with the Calculus from the four viewpoints of
graphical, analytical, numerical and verbal.
3
Students make extensive (and appropriate) use of their calculator. All students MUST have a graphing calculator with the
capabilities of the following:
 Graphing equations in an arbitrary window
 Finding the zeros of a function (solve an equation numerically)
 Calculate numerical derivatives
 Calculate numerical integrals
Course Requirements
1. Attend class daily and on time.
2. Bring necessary learning supplies daily. Keep brand new text workbook in excellent condition ($20 replacement fee).
3. Participate in class by paying attention, taking notes, contributing to discussions and meeting all classroom
expectations.
4. Read and study the workbook as you work on completion of all homework and classwork assignments.
5. Work independently, and work effectively with others students and with me. Respect the teacher and classmates.
6. Follow directions the first time.
7. Turn in all assignments and projects on time.
8. Study for and complete all tests and quizzes.
9. Seek outside assistance as needed.
School Requirements
1. Bring a reinstatement form from the attendance office within 3 days for all excused absences.
2. If late to class, obtain a tardy pass for admittance into class.
3. Wear ID at all times while in the building. ID’S must be worn and visible before upon entering class.
4. Wear appropriate clothing at all times.
5. Cell phones and other electronic devices are to be out of sight and turned off.
6. Drinking water is permitted but otherwise, no eating or drinking in class.
7. Follow Uniform Discipline Code.
Attendance
Students are required to attend class daily and on time. There are only 6 acceptable causes for absences – student illness,
family emergency, death in the immediate family, observation of religious holidays, circumstances which cause
reasonable concern to the parent or legal guardian for the safety or health of the student, and other situations beyond the
control of the student as determined by the principal or principal’s designee, on a case by case basis, including, but not
limited to homelessness and its attendant difficulties. A note explaining the absence must be brought into the office
within 2 days of the said absence. Tardiness is not allowed and will be dealt with using the Uniform Code of Discipline.
Poor attendance has a negative impact on student achievement.
Cheating and Academic Honesty
Integrity, once lost, is difficult to be regained. The work you submit for credit is your own. Any student either duplicating the
efforts of another or supplying another with the fruits of their labors will be given no credit for that assignment. Obviously, in
group situations collaboration is encouraged; however, each student is expected to make a genuine contribution.
IB/MYP Grading Scale
8
7
6
5
4
3
2
1
0
Hi A
Low A
Hi B
Low B
Hi C
Low C
Hi D
Low D
F
100
90
85
80
75
70
65
60
0
Homework
10%
Classwork
10%
Weekly Quizzes
15%
IB Assessments/Projects
25%
Test
20%
Mid-term/Semester Finals
20%
Quizzes and Tests- Some are take-home quizzes, and some are pop-quizzes, but most of the quizzes are given in class. A
test is given at the end of each unit on the cumulative topics examined to that point in time. Tests and quizzes will cover
material discussed in class and in the text. It is expected that students be able to take ideas from each unit and apply them
to new situations. Tests will be composed of free response and/or multiple-choice questions, some with calculator, and
some non-calculator.
4
Category Weighted Average
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Grading Scale
Class-work includes assessments [bell ringers and exit tickets (given almost everyday)] which will cover math concepts
and note-taking skills, board work, class participation, any other work completed in class and on other problems.
Homework will be given daily so that students will be able to master the skills necessary to satisfy course requirements.
Students should get into a routine of spending quality time on math homework. Doing homework consistently and
carefully will ensure success on tests and quizzes. Homework will consist of course packet problems, taking notes, and
occasional worksheets. Homework is given orally, posted in the room and on the Morgan Park website
(morganparkcps.org).
Homework guidelines:
1.
Each assignment must have the following heading: Name, date, period, and problems assigned.
2.
SHOW WORK! You will not receive full credit if you do not show work.
(Homework) (10%): At the close of each lesson students will be assigned a variety of practice problems that will
be due on the following school day. These practice problems will provide reinforcement for material learned
during class time. One late assignment will be accepted for ½ credit at the end of the week that the homework was
assigned.
For Homework: Register on the Morgan Park Website, To get information regarding homework and other class
announcements, the information on how to register can be found on my page on the Morgan Park Website. Check the
Resource page. For students that do not have internet access at home or on their phones, students can arrange to use the
internet in the school library or a local library.
Make-up Work is only accepted due to an excused absence. If you are absent, it is your responsibility to obtain notes
from a classmate, or the class website. You are held responsible for all missed work. On the day that you return to class,
you must have completed the homework that was due on the day that you were absent. You will receive up to 2 days (1
day for 1 excused absence) to complete the work missed, with an excused absence. You are responsible to complete
all work missed. If your absence is unexcused, you will receive a zero for any missed test or quiz, and unable to retake.
All class-work assignments will be done in class only and must be completed and saved.
Projects and Special Assessments are important. These will be closely aligned with the material from the book and are
reality-based. Projects and Special Assessments from other sources will also be assigned. Projects and Special
Assessments must be turned in on time to receive full credit. If they are late, half credit will be given. No credit will be
given if it is more than two days late. If a student is absent on the due date, it must be turned in on the day the student
returns with an excuse note from the parent attached and a reinstatement from the Attendance Office. Other projects will
also be assigned with the same criteria for lateness. Some projects may require that students need to stay after school to
complete the project. These projects will be announced and posted at least 2 weeks prior to due date.
Monitoring Grades- is easy. Student’s progress in my class will be posted on IMPACT and can be viewed via the Parent
Portal. You may access your grades via http://impact.cps.k12.il.us/applications.asp using the student and/or parent portal.
Students should check their grades weekly.
Class Procedures
1. Students are expected to keep a clean classroom, by cleaning up after themselves and assisting others.
2. Students are to remain in the classroom unless specifically requested by a staff member, where the request is
accompanied by a written note. I reserve the right to require that students remain in class even when they are
requested unless it is an emergency situation.
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Resources:
Students can attend tutoring after school and use the library for internet access. Students obtain assignments and other
information from the Morgan Park H.S. website. Students will also be given the assignments in class. AP Calculus
Workbook.
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Consequences
Violation of classroom and school policies will result in disciplinary action by the teacher. Minor problems will be handled inclass, beginning with a verbal warning, reprimand or change in seating assignment. Severe or repeated offenses will result in
parent contact and/or administrative referral.
----------------------------------------------------------------------------------------------------------------------------------------Please return this following portion to: _ _____Mrs. Joseph__ by: _______Tuesday, 9/9/2014_______
I have read and understand the requirements of this Syllabus.
Course: ____Honors Calculus ____Period: __________ Date: ___________
_______________________________________
Student’s Name (Print)
__________________________________________
Student’s Signature/Date
_______________________________________
Parent/Guardian’s Name (Print)
_____________________________________________
Parent/Guardian Signature/Date
Please print the following and circle the best number to leave a message for you:
Home Phone: __________________________________ Parent Cell Phone: ______________________________
Day/Work Phone: ___________________________Parent E-mail: _____________________________________
Student E-mail ______________________________________
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Phone to which a text message may be sent to the parent___________________________________