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North Toronto C. I.
Table of of Contents2. Staff and Teaching Subjects
7. Winners of 2002-2003 Contests
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.
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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 |
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 |
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 |
Mathematics Department |
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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% |
Mathematics & Computer Science Contests |
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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 |
Contests |
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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 |