Glenview Park Secondary School

55 McKay Street, Cambridge, Ontario, N1R 4G6 (519) 621-9510 www.gps.wrdsb.on.ca

Course Outline: IB Mathematics Part II - Calculus, MCV4UW

Semester: 1 and 2 / Block: A / Room:B206
Teacher: N. Richmire / Teacher Contact Information:
(519) 621 – 9510 ext. 5074 / Course/Teacher Website:
RichmireMCV4UIB.wikispaces.com

Course Description:

This course is designed as the second of two courses for the International Baccalaureate program at Glenview Park. Focus is on limits, rates of change, derivatives of polynomials, rational, exponential, and trigonometric functions. Applications of the derivative and antiderivatives including integration are also covered. Additional time will be spent completing the IB Mathematics Internal Assessment during this year.

Prerequisite: MHF4UW

Required Learning (Big Ideas) per Strand

Strand / Required Learning: Big Ideas
Rate of Change / 1. demonstrate an understanding of rate of change by making connections between average rate of
change over an interval and instantaneous rate of change at a point, using the slopes of secants and
tangents and the concept of the limit;
2. graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections
between the numeric, graphical, and algebraic representations of a function and its derivative;
3. verify graphically and algebraically the rules for determining derivatives; apply these rules to
determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions,
and simple combinations of functions; and solve related problems.
Derivatives and their Applications / 1. make connections, graphically and algebraically, between the key features of a function and its first
and second derivatives, and use the connections in curve sketching;
2. solve problems, including optimization problems, that require the use of the concepts and procedures
associated with the derivative, including problems arising from real-world applications and involving
the development of mathematical models.
Integration / 1. Demonstrate an understanding of basic integration rules
2. Determine anti-derivatives and solve differential equations.
3. Solve problems involving motion, areas under a curve and volumes of revolution.

Evidence of Learning

For each of the following units, there will be an in class evaluation, as well as a unit test.

Evaluating Limits and Derivatives (Part 1) / 70
Derivatives (Part 2)
Applications of Derivatives
Extreme Values and Curve Sketching
Derivatives of Trigonometric Functions
Antiderivatives and Integration
Related Rates
Final Exam / 30

IB Grade

1. Only the first half of the course will have the IB predicted grade attached to it.

2. Predicted grades may be adjusted in April based on the performance in the final units.

3. Students will write two exams in May based on all units.

20% / The Exploration / Internal assessment where a student picks a topic of interest and explores the mathematical content as per Standard Level Curriculum / Paper between 8 to 12 pages (20%)
80% / Final Exam / Based on the entire Standard Level Curriculum’s overall expectations / Exam 1 – no calculator (40%) Exam 2 – calculator (40%)

Ontario Grade

Course Evaluation

Student work will be evaluated using a balance of the Ministry’s four achievement chart categories: knowledge & understanding, thinking & inquiry, application, and communication.

Throughout the course, teachers will gather evidence of student learning through observations, conversations, and student-produced work.

Seventy percent (70%) of the final mark will come from term work, and thirty percent (30%) will come from final evaluations. Report card grades will reflect the student’s most consistent level of achievement, with consideration given to more recent evidence.

Guidelines for Assessment, Evaluation and Reporting

1.  Learning Skills

The Learning Skills and Work Habits section of the provincial report card is an integral part of a student’s learning. Students will be assessed in the following areas:

·  Responsibility / ·  Independent Work / ·  Organization
·  Initiative / ·  Collaboration / ·  Self-Regulation

The following scoring system is used for Learning Skills:

E=Excellent; G=Good; S=Satisfactory; N=Needs Improvement

2.  Missing Work

Students are expected to submit all evidence of learning by the assigned date.

(a)  The Learning Skills section of the provincial report card will be used to reflect incidents of late and missing work.

(b)  At the time of entering a report card grade, students with missing evidence of learning may receive an “I” (“I” = insufficient evidence) on their report card and will not receive a credit (Grades 9 and 10), or may be assigned a failing mark and will not be granted a credit for the course (Grades 11 and 12).

3.  Cheating and Plagiarism

Students are expected to submit their own original, best work to demonstrate their learning.

(a)  The Learning Skills section of the provincial report card will be used to reflect incidents of cheating and plagiarism.

(b)  Students caught cheating on tests or assignments will receive an “I” (“I = insufficient evidence), and will be required to demonstrate their learning through an alternative evaluation.

(c)  Students who plagiarize may be required to re-do all or part of the assignment (or evaluation) or complete an alternative assignment (or evaluation). The student’s work may be treated as Missing Work (see above). As well, potential consequences for plagiarizing include disciplinary action (e.g., suspension) and loss of access to academic awards and scholarship opportunities.

Other Important Classroom/Course Information

1.  Student Expectations:

The completion of homework is an essential ingredient for success in this course.

Be responsible for catching up if you miss a class, students are responsible for getting notes from another student in the class. Always show respect for each person in the classroom. It is expected that students will familiarize themselves with the course website and come prepared to class with all required materials.

2.  Course Website:

The course website (https://RichmireMCV4UIB.wikispaces.com ) will have a general

recap of daily homework, along with some skeleton notes, some homework, and other helpful activities and links. Check the website REGULARLY to be sure you’re not missing anything important!

3.  Assessments and Evaluations:

If you know you will be absent, you must make prior arrangements. If you are absent the day of a test, you must make arrangements immediately upon your return.

4.  Equipment:

You must bring a pen, pencil, eraser, paper, notebook, ruler and a scientific calculator to each and every class.

5.  Student Progress:

Students and their parents are encouraged to check the website for upcoming tests and assignment due dates. Periodically, marks will be made available to parents through the website and via email. Please include parent and student email addresses below for regular progress reports.

6.  Extra Help is Available

This is a fast moving course that requires that students successfully grasp basic concepts in order to succeed in subsequent lessons. Please arrange a time with me as soon as you find you are experiencing difficulty. I am available daily before school, regularly at lunch, and sometimes after school for extra help when difficulties arise.

______

Student Email Address Parent Email Address

Signatures

Please sign below indicating you have read and understood this course outline, including the requirements for successful completion of this course, and return this sheet to your teacher:

Student / Parent/Guardian
Date / Date

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