Math Department

Thornlea's Math department prepares students for all levels of education and work after high-school. Our department offers a large variety of courses that will help students develop their academic skills, logical thinking and problem-solving capabilities.

Math is essential for students who will be pursuing studies in science, engineering and other related areas in post-secondary school. However, beyond that, math is an essential skill for everyday life, and we offer courses that will help those students who need to develop the essential math skills for life, work and business.

 

"Today’s mathematics curriculum must prepare students for their future roles in

society. It must equip them with essential mathematical knowledge and skills; with skills of reasoning, problem solving, and communication; and, most importantly, with the ability and the​ incentive to continue learning on their own." Ontario Ministry of Education
 


 

NEW-Starting in September 2021-Mathematics, Grade 9 (MTH1W) 

Course Description:

This course enables students to consolidate, and continue to develop, an understanding of mathematical concepts related to number sense and operations, algebra, measurement, geometry, data, probability, and financial literacy. Students will use mathematical processes, mathematical modelling, and coding to make sense of the mathematics they are learning and to apply their understanding to culturally responsive and relevant real-world situations. Students will continue to enhance their mathematical reasoning skills, including proportional reasoning, spatial reasoning, and algebraic reasoning, as they solve problems and communicate their thinking.

Prerequisite: None

 

Special Program Opportunities

Thornlea's Math Department is proud to offer both pre-AP and AP courses:

 

Pre-AP Math in Grade 9: Principles of Mathematics - Advanced Placement Preparation:

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems. In addition to the content outlined in MPM1D1, this course will provide a range of enrichment opportunities that will serve as preparation for students wishing to write the Advanced Placement exam. There will be a nominal cost for some additional resources. This will be communicated at the beginning of the course.​

Requirement: Pending pre-AP Application Acceptance

 

Pre-AP Math in Grade 12: Advanced Functions - Advanced Placement Preparation (pre-AP):

This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining 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 taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs. In addition to the content outlined in MHF4U1, this course will provide a range of enrichment opportunities that will serve as preparation for students wishing to write the Advanced Placement exam. Evaluation will be based on Ontario curriculum expectations. There will be a nominal cost for some additional resources. This will be communicated at the beginning of the course.​

Course note: Students should consult their Grade 11 teacher as to the appropriate course selection for Gr. 12.

Successful completion of MCF3M1 AND MCT4U1 is one pathway to preparation for this course.

Prerequisite:  MCR3U1 - Functions

 

AP Math in Grade 12: Calculus and Vectors - Advanced Placement (AP):

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, sinusoidal, exponential, rational, and radical 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 choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course. In addition to the content outlined in MCV4U1, this course will provide a range of enrichment activities that will serve as preparation for students wishing to take the Advanced Placement exam. Evaluation for the course will be based on Ontario curriculum expectations. There will be a nominal cost for some additional resources and the AP exam fee set by the USA College Board. This will be communicated at the beginning of the course.​

Course note: MHF4UE pre-AP is the recommended prerequisite.  Although MHF4U and MCV4U may be taken concurrently it is very strongly recommended that MHF4U is successfully completed prior to taking MCV4U.  Students should consult their Grade 11 Math teacher as to the appropriate course selection for Grade 12.

Prerequisite:  Advanced Functions, Grade 12, University Preparation, must be taken prior to or concurrently with Calculus and Vectors.

 

Thornlea Mathletes:

Thornlea Mathletes club meets Wednesdays after school in room 132. The club can help prepare students for the Waterloo Univeristy Math Competition, for those who are interested in participating. New members are always welcome.
 

Math Contests in which Thornlea Math Students will Participate in 2013-2014:

  • Canadian Senior & Intermediate Math Contest (all grades): Thursday, November 21, 2013
  • Pascal, Cayley & Fermot (Grades 9, 10, 11): Thursday, February 20, 2014
  • ​Euclid (Grade 12): Tuesday, April 15, 2014

 

Careers and Post-Secondary Studies

Alphabetical Listing of Careers related to Math (from My Pathway Planner):  

 

 

  • Account Manager
  • Actuary
  • Adult Education Teacher
  • Aerospace engineer
  • Agricultural Tech
  • Air Traffic Controller
  • Aircrfat Mechanic
  • Appraiser
  • Architect
  • Architectural Tech
  • Astronaut
  • Astronomer
  • Auditor
  • Automotive Service Technician
  • Avionics Tech
  • Bank Manager
  • Bank Teller
  • Bill and Account Collector
  • Bioinformatics Specialist
  • Boilermaker
  • Bookkeeper
  • Botanist
  • Bricklayer/Stonemason
  • Building Inspector
  • Building Superintendent
  • Cabinetmaker
  • Cartographer
  • Cashier
  • Certified General Accountant
  • Chartered Accountant
  • Chemical Engineer
  • Chemical Engineering Tech
  • Chemist
  • Civil Engineer
  • Civil Engineering Tech
  • Coast Guard
  • Computer Hardware Engineer
  • Computer Network Specialist
  • Computer Programmer
  • Computer Scientist
  • Computer Software Engineer
  • Construction Tradesperson
  • Crane Operator
  • Criminologist
  • Curriculum Specialist
  • Database Developer
  • Diesel Technician
  • Drafter
  • Ecologist
  • Economist
    • Electrical Engineer

 

  • Electrical Engineering Tech
  • Electrician
    • Electronics Engineer
    • Electronics Engineering Tech
    • Elementary School Teacher
  • Elevator Installer and Repairer
  • Energy Auditor
  • Engineering Tech
  • Environmental Engineer
  • Epidemiologist
  • Explosives Specialist
  • Farm Equipment Technician
  • Fashion Designer
  • Foresnic Accountant
  • Forester
  • Geologist
  • Glazier
  • Gunsmith
  • Heavy Equipment Technician
  • Helicopter Pilot
  • High School Teacher
  • Home Inspector
  • Industrial Designer
  • Industrial Engineer
  • Industrial Engineering Tech
  • Insurance Claims Adjuster
  • Insurance Underwriter
  • Investment Advisor
  • Investment Banker
  • Ironworker
  • Land Surveyor
  • Landscape Architect
  • Loan Officer
  • Logistics Specialist
  • Management Consultant
  • Marine Biologist
  • Market Research Analyst
  • Materials/Metallurgical Engineer
  • Mathematician
  • Mechanical Engineer
  • Mechanical Engineering Tech
  • Meteorologist
  • Middle School Teacher
  • Military Engineer
  • Military Officer
  • Millwright
  • Mining Engineer
  • Mining Engineering Tech

 

  • Money Manager
  • Nuclear Engineer
  • Nuclear Medicine Technologist
  • Oceanographer
  • Operations Research Analyst
  • Optician
  • Optometrist
  •  
  • Personal Financial Planner
  • Petroleum Engineering Tech
  • Pharmacist
  • Pharmcologist
  • Pharmacy Technician
  • Physicist
  • Pilot
  • Pipefitter
  • Plumber
  • Power Plant Operator
  • Principal
  • Professor
  • Purchaser
  • Quality Controller
  • Radiation Therapist
  • Real Estate Appraiser
  • Research Analyst (Financial)
  • School Superintendent
  • Scientist
  • Sheet Metal Worker
  • Shipping and Receiving Clerk
  • Special Education Teacher
  • Stationary Engineer
  • Statistician
  • Stock Clerk
  • Surgeon
  • Survey Tech
  • Tax Preparer
  • Technical Sales Representative
  • Tilesetter
  • Tool and Die Maker
  • Toxicologist
  • Trader
  • Venture Capitalist
  • Volunteer Manager
  • Water Treatment Plant Operator

Links to Post-Secondary Institutions Offering Math-Related Programs:

My Pathway Planner​

Ontario Universities Application Centre

Ontario Colleges​

Pure Math Studies at the University of Waterloo

Applied Math Studies at the University of Waterloo

Courses

Learn more about the courses offered at our school.
Courses

Teachers 

Staff NameExt. #VM
B. McCutcheon (Department Head)137452
P. (Tews) Grant  
R. Jeor  
M. Mahalingam  
N. Paydar  
H. Patel  
J. Tran  
K. Lee