North Toronto C. I.

 

 

Mathematics & Computer Science Department

 

Table of of Contents

1. Aims of the Department

2. Staff and Teaching Subjects

3. Courses and Prerequisites

4. Course Descriptions

5. Evaluation Policy

6. Contests and Dates

7. Winners of 2002-2003 Contests

8. DCC OA Homepage

 

1. Aims of the Department

 

The aim of the department is to provide our students the best opportunities, an inviting learning environment, innovative methods and the effective use of the latest affordable technological tools to assist them in learning and exploring mathematics and computer science. This enables North Toronto students to have a solid foundation for their post secondary education and to adapt themselves to the challenges of the fast changing world of information technology.

2. Mathematics and Computer Science Teachers and Teaching Subjects

 

Teacher 2003-2004
Subjects 2003-2004

Ms. C. Brown

Year 2 and 3 Math: MPM2D, MCR3U; Year 4 Math of Data Management MDM4U

Mrs. N. Emery

Years 1, 2 and 3 Math: MPM1D, MPM2D and MCR3U

Mr. G. Heffernan

Years 2 3 and 4 Computer Information Science: TIK2O ICS3M and ICS4M

Mrs. P. Lu

Years 1 MPM1D and Year 4:Advanced Functions and Introdoctory Calculus

Mrs. H. Mekhael

Years 1 & 2 Math: MDM1D, MFM1P and MFM2P.Year 3 Math: Functions: MCF3M

Mr. C. Mendelovits

Year 2 Math MPM2D, Year 3 Functions & Relations MCR3U (enriched).

Year 4 Advanced Functions and Introductory Calculus: MCB4U.

Year 4 Data Management MDM4U

Ms. C. Rayman

Years 1: MPM1D

Mr. W. Shafton

Year 2 Math MPM2D (enriched), Year 3 Functions & Relations MCR3U

Year 4 Advanced Functions and Introductory Calculus: MCB4U

Year 4 Geometry and Discrete Math:MGA4U

Mr. P. Wei

Year 1 Math MPM1D

Year 4 Advanced Functions and Introductory Calculus: MCB4U

Year 4 Geometry and Discrete Math:MGA4U

3. Mathematics and Computer Science Courses and Prerequisites

 

Prerequisite

Course (2003-2004)

Mathematics Grade 8

Grade 9, Principles of Mathematics, Academic, MPM1D

Mathematics Grade 8

Grade 9, Foundations of Mathematics, Applied, MFM1P

MPM1D or MFM1P

Grade 10, Principles of Mathematics, Academic, MPM2D and MPM2D3 (enriched)

MPM1D or MFM1P

Grade 10, Foundations of Mathematics, Applied, MFM2P

MPM2D

Grade 11, Functions and Relations (University) , MCR3U and MCR3U3(enriched)

MPM2D

Grade 11, Functions (University/College), MCF3M

MPM2D or MFM2P

Grade 11, Math of Personal Finance (College), MBF3C (not offered)

MCR3U or MCF3M

Grade 12, Data Management (University), MDM4U

MCR3U or MCF3M

Grade 12, Advanced Functions and Introductory Calculus(University), MCB4U

MCR3U

Grade 12, Geometry and Discrete Mathematics (University), MGA4U

None

Grade 10 Open Level Computer & Information Science, TIK2O

Recommended Preparation: TIK2O

Year 3 Computer & Information Science, ICS3M

ISC3M

Year 4 Computer & Information Science, ICS4M

4. Mathematics and Computer Science Course Descriptions

 

Course Code

Course Description

MPM1D

Grade 9 Principles of Mathematics, Academic: This course covers four strands: 1) Number Sense and Algebra; 2) Relationships; 3) Analytic Geometry; 4) Measurement and Geometry. The course enables students to develop generalizations of mathematical ideas and methods through the exploration of applications, the effective use of technology, and abstract reasoning. Students will investigate relationships to develop equations of straight lines in analytic geometry, explore relationships between volume and surface area of objects in measurement, and apply extended algebraic skills in problem solving. Students will engage in abstract extensions of core learning th ore skills and deepen their understanding of key mathematical concepts.

MPM2D

Grade 10 Principles of Mathematics, Academic: This course covers three main topics: 1) Quadratic Functions; 2) Analytic Geometry; 3) Trigonometry. The course enables students to broaden their understanding of relations, extend their skills in multi-step problem solving, and continue to develop their abilities in abstract reasoning. Students will pursue investigations of quadratic functions and their applications; solve and apply linear systems; solve multi-step problems in analytic geometry to verify properties of geometric figures; investigate trigonometry of right and acute triangles; and develop supporting algebraic skills.

MFM2P

Grade 10 Foundations of Mathematics, Applied: This course covers three main topics: 1) Proportional reasoning (Trigonometry); 2) Linear Functions; 3) Quadratic Functions. The course enables students to consolidate their understanding of key mathematical concepts through hands-on activities and to extend their problem-solving experiences in a variety of applications. Students will solve problems involving proportional reasoning and the trigonometry of right triangles; investigate applications of piecewise linear functions; solve and apply systems of linear equations; and solve problems involving quadratic functions. The effective use of technology in learning and in solving problems will be a focus of the course.

MCR3U

Functions and Relations

(University)

This course introduces some financial applications of Mathematics, extends students' experiences with functions, and introduces second-degree relations. Students will solve problems in personal finance involving applications of sequences and series; investigate properties and applications of trigonometric functions; develop facility in operating with polynomials, rational expressions, and exponential expressions; develop an understanding of inverses and transformations of functions; and develop facility in using function notation and in communicating mathematical reasoning. Students will also investigate loci and the properties and applications of conics.

MCF3M Functions

(University/College)

This course introduces some financial applications of Mathematics, extends students' experiences with functions. Students will solve problems in personal finance involving applications of sequences and series; investigate properties and applications of trigonometric functions; develop facility in operating with polynomials, rational expressions, and exponential expressions; develop an understanding of inverses and transformations of functions; and develop facility in using function notation and in communicating mathematical reasoning.

MBF3C

Mathematics of Personal Finance

(College)

This course enables students to broaden their understanding of exponential growth and of importance areas of personal finance. Students will investigate properties of exponential functions and develop skills in manipulating exponential expressions; solve problems and investigate financial applications involving compound interest and annuities; and apply mathematics in making informed decisions about transportation, accommodation, and career choices. Prerequisite: MPM2D or MFM2P

MCB4U

Advanced Fuctions & Introductory Calculus

(University)

This course builds students' experience with functions and introduces the basicconcepts and skills of calculus. Students will investigate and apply the properties of polynomial, exponential, and logarithmic functions; broaden their understanding of the mathematics associated with rate of change; and develop facility with the concepts and skills of differential calculus as applied to polynomial, rational, exponential, and logarithmic functions. Students will apply these skills to problem solving in a range of applications.

Prerequisite: Functions and Relations, MCR3U (University) or Functions,MCF3M (university/College)

MDM4U

Mathematics of Data Management

(University)

This course broadens students' understanding of mathematics as it relates to managing information. Students will apply methods for organizing large amounts of information; applying counting techniques, probability, and statistics in modelling and solving problems; and carry out a culminating project that integrates the expectations of the course and encourages perseverance and independence. Students planning to purse university programs in business, the social science, or the humanities will find this course of particular interest.

Prerequisite: Functions and Relations, MCR3U (University) or Functions,MCF3M (university/College)

MGA4U

Geometry and Discrete Mathematics

(University)

This course enables students to broaden mathematical knowledge and skills related to abstract mathematical topics and to the solving of complex problems. Students will solve problems involving geometric and Cartesian vectors, and intersections of lines and planes in three-space.They will also develop an understanding of proof, using deductive, algebraic, vector, and indirect methods. Students will slove problems involving counting techniques and prove results using mathematical induction.

Prerequisite: Functions and Relations, MCR3U (University)

MCT4C

Mathematics for College Technology

(College)

This course equips students with the mathematical knowledge and skills needed for entry into college technology programs. Students will investigate and apply properties of polynomial, exponential, and logarithmic functions; solve problems involving inverse proportionality; and explore the properties of reciprocal functions. They will also analyse models of a variety of functions, solve problems involving piecewise-defined functions, solving linear-quadratic systems, and consolidate key manipulation and communication skill.

Prerequisite: Functions and Relations, MCR3U (University) or Functions,MCF3M (university/College)

TIK2O

Grade 10 Open Level Computer & Information Science: This course introduces students to computer science concepts. Students will learn about the stages in software design; the fundamental programming constructs of sequence, selection, and repetition; the functions of internal and external computer components; the relationship among networks, operating systems, and application software and their uses; and how programing languages evolve. Students will also develop an awareness of computer-related careers. Most of the students' time will be spent in learning programming techniques and problem solving skills in Turing.

ICS3M

(Univerity / College)

Students are introduced to the programming language Java. This course reviews and extends the programming and problem-solving skills developed in computer information science TIK2O. New techniques (including recursion) and new data structures (including a variety of dynamic data structures) are introduced and then applied in programming solutions to problems in a variety of areas. Most of the students' time will be spent in learning programming techniques and problem solving skills.

Prerequiste: None. Prefered Course knowledge: TIK2O

ICS4M

(Univerity / College)

This is a course in problem solving using computers. The course uses a case study approach in which students learn how to solve large-scale problems by developing solutions to a variety of real problems. The emphasis in the course is on the problem solving process: analysis, development, and validation, and on effective communication. The case studies that are examined will vary from year to year and from student to student. The programming language used is Java.

Prerequisite: Computer and Information Science, ICS3M

5. Mathematics Department Evaluation Policy (2002-2003)

 

Mathematics Department

Evaluation Policy (2002-2003)

Credit Courses

for OSSD (Ontario Secondary School Diploma)

Mathematics Courses:

Year 1: MPM1D, MFM1P,

Year 2: MPM2D and MFM2P

Year 3: MCR3U(Functions & Relations)

Year 3: MCF3M (Functions)

Year 3 MBF3C (Personal Finance)

Year 4 MCB4U (Advanced Functions and Introductory Calculus

Year 4 MDM4U (Data Management)

Year 4 MGA4U (Geometry and Discrete Mathematics)

Computer InformationScience:

Grade 10: TIK2O, Grade 11: ICS3M, Grade 12: ICS4M

First Term (January)

Term Work (70%) + December Exam (30%) = 100%

Second Term (March)

(Term 1 + Term 2) (85%) + December Exam(15%) = 100%

Final (June)

(Terms I ,II ,III) (70%) + Dec. Exam(10%)+June Exam(20%)=100%

6. Mathematics and Computer Science Contests

 

Mathematics & Computer Science Contests

Teacher
Dates

TDSB Junior Math League

(Grade 9 & Grade 10)

 

Shafton

Contest Dates: Dec. 11, Jan. 15, Feb. 12, Mar. 19, Apr. 23

Pascal Math Contest (Grade 9)

Emery

February 18,2004, Wednesday

Cayley Math Contest (Grade 10)

Shafton

February 18,2004, Wednesday

Fermat Math Contest (Grade 11)

Mendelovits

February 18,2004, Wednesday

Euclid Math Contest (Grade 12)

Wei

April 14,2004, Wednesday

Fryer G9, Galois G10 and Hypatia G11

Lu

April 15, 2004, Thursday

AMC 12 American Math Contest (Grade 12)

Mendelovits

February 10,2004, Tuesday

AIME American Invitational Math Exam

Mendelovits

March 23, 2004, Tuesday

CNML Canadian National Math League

(All Grades)

 

 Brown

Contest #1:Oct 30,2003

Contest #2: Dec 2,2003

Contest #3: Jan 6, 2004

Contest #4: Feb 3, 2004

Contest #5: March 2, 2004

Contest #6: April 6,2004

Canadian Open Challenge (Senior Grades)

Mekhael

November 26, 2003,Wednesday

ACSL American Computer Science League (Grades 10, 11 and 12)

 

Heffernan

Contest #1 the week of Friday, Dec 5,2003

Contest #2, the week of Friday, Feb 6,2004

Contest #3, the week of Friday, March 5,2004

Contest #4, the week of Thursday, April 8,2004

Team All-Star contest,Saturday,May 24,2004

at

7. Winners of 2002-2003 Mathematics and Computer Science Contests

 

Contests

2002-2003 Winners of Certificates of Distinction

Pascal

Helen He, Xiaoyin Liu, Adrian Burlacu, Sunny Cheung, Marco Leung, Michael Xie, Joyce Poon, Veiko Parming, Derek Chan, Kimberly Leung, Darren Wong, Iva Piksa, Tommy Chan, Simon Chiang, Irvin Choo, fei He, Calvin Fung and Justin Shoemaker

Cayley

Ari Jeon, Elizabeth Gao,Lisa Hsieh, Zixi Wang, Henry Zeng, Raymond Moon,Michael Fine, Jesse Moses, Timothy Bahry, Tracy Kong, May Li, Hanchu Chen, Jessica Jiang, Kate Jung, andrea U, gregory Rassias, Yang Wang, John Diao, Anna Li, Mary Choi, Shahab Dariran, Rebecca Lockwood, Sonya Pavic, Meredith Vaga, Richard Xiang, Mark Corkum, Jeffrey Elliott, Dean Petrovic and Beiyuan Xu

Fermat

Shirley Zeng, Filip Marinkovic, Michael Shuser, Danny Kwon, Jing Jing Zeng, Kelvin Chan, Jason Lee, Xiaowen XuCoren, Donald Gareth, Jeyla Chen, Jennifer Youn, Aaron Ginsberg and Ryan Gray

Euclid

Stanley Chan, Wang Xi, Peng Bai, Simeon Cheung, Peter Dziak, John Shuheng Zheng, Kathy Ning Xie, Frederick Ma, Sean Martin and Don Vo

AMC 12

Stanley Chan, Simeon Cheung, Randy Ai

CNML

Simeon Cheung

ACSL

Wang Xi, Davis Doan, Stanley Chan, Amy Hsieh, Don Vo