MATHEMATICS                    

 

Our goal as math teachers is to have all of our students reach their potential and be successful in whatever areas they pursue, whether that involves mathematics or not. We believe all students are capable of being functionally numerate and hope they will value mathematics.

We hope to provide you with information to help you, and your child make the most appropriate choices. Hopefully, we can dispel some myths and help you select a pathway that provides the best opportunity for success.

 

MYTHS ABOUT MATH

Choosing the “wrong” course in grade 9 limits options:

Students can move from the applied stream to either of the other two streams after grade 10.

 

I need a grade 12 math course to attend College or University:

Many University and College courses do not require mathematics for entry into the program. Sometimes, a mathematics course at the grade 12 level is recommended, but not required.

 

The best path to University starts with grade 9 academic math:

Some students are well prepared for mathematics at the academic level in grade 9. Those who are not or have marginal skills and wish to be in the academic stream should first begin in the applied stream, build their skills and confidence in a classroom with a smaller class size, and then shift streams. (This also applies to the locally developed to applied streams).

 

HOW TO SELECT YOUR MATH COURSE:

·         Students should select a course that matches their current skill level. The pathways in math allow students to progress to any stream after their first course in grade 9. Students should then select a destination and determine the most appropriate pathway.

·         It can be problematic to select a course based on what we hope a student’s skill level is or what it should be, if he or she had worked harder in previous years.

·         Many students, who choose a level beyond their ability, become frustrated with math and may show signs of anxiety towards the subject. They are often unprepared to continue on to the next level.

·         Students who proceed to the next grade at the same level, with grades below 70%, tend to “hit the wall” at some point. Typically, students change streams or drop their math course. It is possible to avoid this problem by choosing appropriately.

·         Students who are pursuing a French Immersion certificate can take Mathematiques as one of their required courses taught in French.

 

ACADEMIC OR APPLIED?

The type of course chosen depends on many factors: ability, achievement, attitude/motivation, organizational skills, learning styles, future goals, etc. Carefully examine a student's achievement in mathematics and consider the most appropriate learning environment. The grade 8 math teacher and parents should examine each student's achievement in detail and use the information to recommend which course will support success for the student at this point in time. (Students who are not achieving at a level 3 or higher in grade 8 tend to find that academic stream difficult.)

 

The Grade 9 Academic Course is intended for those students who are ready to learn through abstract reasoning. The course provides more opportunities to develop a higher level of algebraic skills. This course enables students to develop 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 relationship. They will also explore relationships that emerge from the measurement of three-dimensional objects and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course leads to the Grade 10 Academic course.

 

The Grade 9 Applied Course is intended for the learner who has experienced some degree of success in most areas of the Grade 8 mathematics program, who would benefit from more time consolidating key concepts and skills in mathematics, as well as learning through hands-on activities and the use of concrete examples. This course enables students to develop understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. Students will investigate real-life examples to develop various representations of linear relationships, and will determine the connections between representations. They will also explore certain relationships that emerge from the measurement of three-dimensional objects and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. This course leads to the Grade 10 Applied course. A transfer course is required for those who choose to take the Grade 10 Academic course.

 

MATH PATHWAYS AND DESTINATIONS

Heavy Math Focus University

Some of the University Programs with a Heavy Math Focus

·         Engineering

·         Mathematics (Pure & Applied)

·         Accounting

·         Sciences (Bio. Chem., Physics, Agriculture, etc.)

·         Computer Science & Device Technology

·         Forensics

·         Kinesiology

·         Architecture

 

Grade 9

Grade 10

Grade 11

Grade 12

Grade 12

MPM1D
Academic

MPM2D
Academic

MCR3U
University

MHF4U
Advanced Functions

MCV4U
Calculus and Vectors

 

Some Math Focus University

University Programs with some Math Focus

·         Business

·         Economics

·         Human Kinetics, Kinesiology

·         Health Science

·         Physical Geography / Environmental Science

·         Social Science: Economics focus

·         Psychology: Science focus

 

Grade 9

Grade 10

Grade 11

Grade 12

MPM1D
Academic

MPM2D
Academic

MCR3U
University

MHF4U
Advanced Functions

Non-Math Focus University

University Programs with Non-Math Focus

·         Psychology

·         Sociology

·         Elementary Teacher Education

·         Geography (Physical)

·         Human Resources Management

·         Landscape Architecture

·         Administrative Studies

·         Nursing

 

Grade 9

Grade 10

Grade 11

Grade 12

MPM1D
Academic

MPM2D
Academic

MCF3M
University or College

MDM4U
Data Management University

or

Grade 9

Grade 10

Grade 11

Grade 12

MFM1P
Applied

MFM2P
Applied

MCF3M
University or College

MDM4U
Data Management University

 

Heavy Math Focus College

College Programs with a Heavy Math Focus

·         Engineering Technology (Computer, Civil Electrical)

·         Pre-service Firefighter

·         Computer Analyst/Programmer/ System Analyst

·         Manufacturing Engineer

·         Science Lab Technician

·         General Metal Machinist

·         Construction/Carpentry /Woodworking

·         Manufacturing Technician

·         Chef Management

 

Grade 9

Grade 10

Grade 11

Grade 12

MFM1P
Applied

MFM2P
Applied

MCF3M
University or College

MCT4C
College Technology

 

Some Math Focus College

College Programs with some Math Focus

·         Accounting / Marketing/ Financial Services

·         Construction Engineering Technician

·         Food & Beverage Management

·         Design (Graphic, Fashion, Interior, Landscape)

·         Dental Hygienist/Assistant

·         Paramedic / Pharmacy Technician

·         Medical Radiation Technology

·         Pharmacy Assistant

·         Industrial Maintenance Mechanic

 

Note: Many apprenticeships require that students study courses at college that may include mathematics.

 

Grade 9

Grade 10

Grade 11

Grade 12

MFM1P
Applied

 

MFM2P
Applied

 

MBF3C
College

 

MAP4C
Foundations of College Math

followed by

MCT4C
College Technology

 

Programs that do NOT have a grade 12 mathematics prerequisite:

 

Students are required to take 3 Math courses of which one must be at the grade 11 or 12 level. See Student Services for more information on the appropriate Applied or Academic courses.

 

Community College

·         Law Clerk

·         Broadcasting

·         Food and Beverage Management

·         Radio

·         Television

·         Horticultural & Landscape Technician

·         Fine Art

·         Travel & Tourism

·         Law and Security Administration

·         Office Administration

·         Theatre Arts

·         Early Childhood Education

·         Child & Youth Worker

·         Hotel Management

·         Culinary Arts

 

University

·         English

·         Law

·         Social Work

·         Philosophy

·         Journalism 

·         Languages

·         Fine Arts

·         History

·         Theology

 

Note: This material in this document has been obtained from information available through a variety of college and university course calendars. This information is designed as an introductory guide only. Check with your guidance counsellor to obtain current information about specific courses and their requirements.

 


MATHEMATICS PREREQUISITE FLOW CHART

 

 

MATHEMATICS COURSE DESCRIPTIONS

 

MPM1DK         Principles of Mathematics, Grade 9, Academic

This course enables students to develop 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 relationship. They will also explore relationships that emerge from the measurement of three-dimensional objects and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems. It is recommended that grade 8 students have achieved a Level 3 or 4 in their current grade 8 mathematics program.

This course is also offered as an extended/immersion French course.

Note: Successful completion of this course prepares students for Principles of Mathematics, Grade 10, Academic (MPM2DK) or Foundations of Mathematics, Grade 10, Applied (MFM2PK). Learning through abstract reasoning is an important aspect of this course.

Prerequisite: None

 

MFM1PK         Foundations of Mathematics, Grade 9, Applied         

This course enables students to develop mathematical ideas and abstract reasoning 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.

Note: Successful completion of this course prepares students for Foundations of Mathematics, Grade 10, Applied (MFM2PK) only.

Prerequisite: None

 

MAT1LK          (LDCC) Locally Developed Compulsory Credit, Mathematics, Grade 9

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 LDCC course, and in the Grade 11 and Grade 12 Mathematics 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.

This course is recommended for students who are working below grade 7 level.

Prerequisite: None

 

MPM2DK         Principles of Mathematics, Grade 10, Academic

This 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 the trigonometry of right and acute triangles; and develop supporting algebraic skills. Recommended mark in MPM1DK is 70%. This course is also offered as an extended/immersion French course.

Prerequisite: MDM1DK

 

MFM2PK         Foundations of Mathematics, Grade 10, Applied

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 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.

Prerequisite: MPM1DK or MPM1PK

 

MCR3UK         Functions, Grade 11, University Preparation

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.

Recommended mark in MPM2DK is 70%. This course is also offered as an extended/immersion French course.

Prerequisite: MPM2DK

 

MCF3MK         Functions and Applications, Grade 11, University/College Preparation

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 modeling 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.

Recommended mark in MFM2PK is 85%. This course is also offered as an extended/immersion French course.

Prerequisite: MPM2DK or MFM2PK

 

MBF3CK         Foundations for College Mathematics, Grade 11, College Preparation

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: MFM2PK or MPM2DK.

 

MEL3EK          Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation

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: None

 

MEL4EK          Mathematics for Work and Everyday Life, Grade 12, Workplace Preparation

This course enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will investigate questions involving the use of statistics; apply the concept of probability to solve problems involving familiar situations; investigate accommodation costs and create household budgets; use proportional reasoning; estimate and measure; and apply geometric concepts to create designs. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

Prerequisite: None

 

MAP4CK         Foundations for College Mathematics, Grade 12, College Preparation

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 (MBF3C) or Functions and Applications, Grade 11, University/College Preparation (MCF3M)

 

MCT4CK         Mathematics for College Technology, Grade 12, College Preparation

This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs.

Note: This course will also provide a path for MCF3M students if they need to take Advanced Functions (MHF4U) or for students who had difficulty in MCR3U before they attempt Advanced Functions (MHF4U). Recommended mark in MCF3M is 70%.

Prerequisite: Functions and Applications, Grade 11, University/College Preparation (MCF3M) or Functions, Grade 11, University Preparation (MCR3U)

 

MDM4UK         Mathematics for Data Management Grade 12, University Preparation

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 (MCF3M), or Functions, Grade 11, University Preparation (MCR3U)

 

MHF4UK          Advanced Functions, Grade 12, University Preparation

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.

Recommended mark is 70% in MCR3U or 75% in MCT4C.

Prerequisite: Functions, Grade 11, University Preparation (MCR3U), or Mathematics for College Technology, Grade 12, College Preparation (MCT4C)

 

MCV4UK         Calculus and Vectors, Grade 12, University Preparation

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 modeling 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 mark in MHF4U is 75%.

Prerequisite: Advanced Functions, Grade 12, University Preparation (MHF4U)