Welcome to Mackenzie Mathematics Department!

The Math Office is located on the second floor in the Art hallway.

Contact us at 416 395 3330 x20080

ACL: Ms. Spiliopoulos

Math Resources

Math Exam Review
Find the review packages for all math courses in this google drive folder.

Courses Offered:

Grade 9 Courses

Course Title: Principles of Mathematics, Academic 

Course Code: MPM1D1

Description: This 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 and surface area of objects in measurement, and apply extended algebraic skills in problem solving. Students will engage in abstract extensions of core learning that will deepen their mathematical knowledge and enrich their understanding. Prerequisite: None

Course Title: Foundations of Mathematics, Applied

Course Code: MFM1P1

Description: This course enables students to develop mathematical ideas and methods through exploration of applications, the effective use of technology, and extended experiences with hands-on activities. Students will investigate relationships of straight lines in analytic geometry, solve problems involving the measurement of 3-dimensional objects and 2-dimensional figures, and apply key numeric and algebraic skills in problem solving. Students will also have opportunities to consolidate core skills and deepen their understanding of key mathematical concepts. Prerequisite: None

Course Title: Mathematics, Locally Developed Compulsory Credit Course

Course Code: MAT1L1

Description: This course emphasizes further development of mathematical knowledge and skills to prepare students for success in their everyday lives, in the workplace, in the Grade 10 Locally Developed Compulsory Credit course and in the Mathematics Grade 11 and Grade 12 Workplace Preparation courses. The course is organized by three strands related to money sense, measurement, and proportional reasoning. In all strands, the focus is on developing and consolidating key foundational mathematical concepts and skills by solving authentic, everyday problems. Students have opportunities to further develop their mathematical literacy and problem-solving skills and to continue developing their skills in reading, writing, and oral language through relevant and practical math activities. Prerequisite: None

Grade 10 Courses

Course Title: Principles of Mathematics, Academic

Course Code: MPM2D1

Description: This course enable 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 multistep problems in analytic geometry to verify properties of geometric figures; investigate the trigonometry of right and acute triangles; and develop supporting algebraic skills. Prerequisite: Principles of Mathematics, Grade 9, Academic. NOTE: Students who have completed Foundations of Mathematics Grade 9, Applied (MFM1P) will need to take a transfer course to take MPM2D

Course Title: Foundations of Mathematics, Applied

Course Code: MFM2P1

Description: This 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 functions; solve and apply systems of linear equations; and solve problems involving quadratic functions. The effective use of technology in learning and solving problems will be a focus of the course. Prerequisite: Foundations of Mathematics, Grade 9, Applied

Course Title: Mathematics, Locally Developed Compulsory Credit Course

Course Code: MAT2L1

Description: This course emphasizes the extension of mathematical knowledge and skills to prepare students for success in their everyday lives, in the workplace, and in the Mathematics Grade 11 and Grade 12 Workplace Preparation courses. This course is organized by three strands related to money sense, measurement, and proportional reasoning. In all strands, the focus is on strengthening and extending key foundational mathematical concepts and skills by solving authentic, everyday problems. Students have opportunities to extend their mathematical literacy and problem-solving skills and to continue developing their skills in reading, writing and oral language through relevant and practical math activities. Prerequisite: A grade 9 Mathematics credit

Grade 11 Courses

Course Title: Functions, University Preparation

Course Code: MCR3U1

Description: This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; and develop facility in simplifying polynomial and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Prerequisite: Principles of Mathematics, Grade 10, Academic

Course Title: Functions and Applications, University/College Preparation

Course Code: MCF3M1

Description: This course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to financial and trigonometric applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10, Applied

Course Title: Foundations for College Mathematics, College Preparation

Course Code: MBF3C1

Description: This course enables students to broaden their understanding of mathematics as a problem-solving tool in the real world. Students will extend their understanding of quadratic relations, as well as of measurement and geometry; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; and develop their ability to reason by collecting, analysing, and evaluating data involving one and two variables. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. Prerequisite: Foundations of Mathematics, Grade 10, Applied

Course Title: Mathematics for Work & Everyday Life, Workplace Preparation

Course Code: MEL3E1

Description: This course enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will solve problems associated with earning money, paying taxes, and making purchases; apply calculations of simple and compound interest in saving, investing, and borrowing; and calculate the costs of transportation and travel in a variety of situations. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. Prerequisite: Principles of Mathematics, Grade 9, Academic, or Foundations of Mathematics, Grade 9, Applied, or a ministry-approved locally developed Grade 10 mathematics course

Grade 12 Courses

Course Title: Advanced Functions, University Preparation or Advanced Placement

Course Code: MHF4U1, MHF4U0

Description: This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs. Prerequisite: Functions, Grade 11, University Preparation, or Mathematics for College Technology, Grade 12, College Preparation

Course Title: Foundations for College Mathematics, College Preparation

Course Code: MAP4C1

Description: This course enables students to broaden their understanding of real world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades. Prerequisite: Foundations for College Mathematics, Grade 11, College Preparation

Course Title: Mathematics of Data Management, University Preparation

Course Code: MDM4U1

Description: This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing large amounts of information; solve problems involving probability and statistics; and carry out a culminating project that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest. Prerequisite: Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation

Course Title: Calculus and Vectors, University Preparation or Advanced Placement

Course Code: MCV4U1, MCV4U0

Description: This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors, and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, rational, exponential, and sinusoidal functions; and apply these concepts and skills to the modelling of real world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who plan to  study mathematics in university and who may choose to pursue careers in fields such as physics and engineering. Recommended preparation: Advanced Functions, Grade 12 University Preparation. Note: The new Advanced Functions course (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U). To take Advanced Placement Calculus and Vectors, Advanced Functions must also be taken in Advanced Placement.

 

Teachers:

Ms. Elena Balland

Posted by on Nov 1, 2017 in Math Teachers, Teacher Profile | Comments Off on Ms. Elena Balland

Started teaching at Mackenzie in 2016.

Education

  • Diplom, Leningrad Polytechnical Institute, U.S.S.R.
  • B.Ed. Faculty of Education, Queen’s University, Ontario
    Office Location:  Mathematics Office

 

Ms. Tanya Chevannes

Posted by on Nov 1, 2017 in Math Teachers, Teacher Profile | Comments Off on Ms. Tanya Chevannes

Started teaching at Mackenzie in 2005.

Education

  • B.A. at York University
  • B.Ed. at OISE, University of Toronto

Office Location:  Mathematics Office

Mr. Youssef Daoud

Posted by on Oct 31, 2017 in Math Teachers, Teacher Profile | Comments Off on Mr. Youssef Daoud

Started teaching at Mackenzie in 2014

Education

  • B.Eng. at Cairo University, Egypt
  • B.Ed. at OISE, University of Toronto

Office Location:  Math Office 

Mr. Anatoli Fourmanovskis

Posted by on Oct 31, 2017 in Math Teachers, Teacher Profile | Comments Off on Mr. Anatoli Fourmanovskis

Started teaching at Mackenzie in 2011.

Education

  • Graduate of Vilnius State University, Lithuania
  • B.Ed. at Commonwealth of Independent States Teacher Training

Office Location:  Mathematics Office

Mr. Jaime Galo Arcia

Posted by on Oct 31, 2017 in Math Teachers, Teacher Profile | Comments Off on Mr. Jaime Galo Arcia

Started teaching at Mackenzie in 1998.

Education

  • Licence, Nicaragua Teacher Training
  • M.A. at York University

Office Location:  Mathematics Office

Ms. Iulia Gugoiu

Posted by on Oct 31, 2017 in ACLs, Math Teachers, Teacher Profile | Comments Off on Ms. Iulia Gugoiu

ACL of Numeracy & Advanced Placement

Started teaching at Mackenzie in 2005.

Education

  • B.Sc. at University of Bucharest
  • M.Sc. Physics
  • B.Ed. at UOIT
  • Honour Specialist Physics

Office Location:  Mathematics Office

Mr. Robert Onizuka

Posted by on Oct 31, 2017 in Math Teachers, Teacher Profile | Comments Off on Mr. Robert Onizuka

Started teaching at Mackenzie in 1998.

Education

  • B.A. at York University
  • M.B.A. at York University
  • B. Ed. at OISE, University of Toronto

Office Location: Mathematics Office

Mr. Ben Segev

Posted by on Oct 31, 2017 in Math Teachers, Teacher Profile | Comments Off on Mr. Ben Segev

Started teaching at Mackenzie in 2007.

Education

  • B.A.Sc. at University of Toronto
  • B.Ed. at OISE, University of Toronto

Office Location:  Mathematics Office

Ms. Anna Spiliopoulos

Posted by on Sep 2, 2007 in ACLs, Math Teachers, Teacher Profile | Comments Off on Ms. Anna Spiliopoulos

ACL of Mathematics

Started teaching at Mackenzie in 2002.

Education

  • Spec. Hon. B.Sc. at York University
  • B.Ed. at OISE, University of Toronto

Office Location:  Mathematics Office

Ms. Stephanie White

Posted by on Jan 31, 2007 in English Teachers, Math Teachers, Teacher Profile | Comments Off on Ms. Stephanie White

Started teaching at Mackenzie in 2007.

Education

  • Hon.B.Sc. at University of Toronto
  • PEP at D’Youville College
  • M.T.S. at Tyndale University

Office Location:  Mathematics Office