Mathematics
A good mathematics program is key to a quality education. Through mathematics, students develop logic, problem-solving, sequencing and classification skills imperative to the well-rounded student in today’s ever-changing society.
At FRC, math programs focus on the essential skills necessary to ensure success at the next level of math. Students are given opportunities to assess their own level of achievement in each of these skills and will be expected to continuously practice and demonstrate their proficiency in these topics.
Choosing a Program
One of the most difficult decisions in making course selections for Grade 10 will be in choosing a level of mathematics that is appropriate to the student’s needs and abilities. In making your decision please consider the following:
a) How successful was the student in Grade 9 Math? Was his/her mark an accurate reflection of ability and effort? If the mark was between:
i) 50% and 65% - consider Consumer Math
ii) Over 65% - consider Applied Math or Pre-Calculus Math
b) What are the student’s educational plans after graduation?
c) How hard is the student prepared to work?
Both Pre-Calculus and Applied Math will require approximately one hour of homework each night. Most of the work in Consumer Math can be done in class with some homework.
NOTE: All students require a scientific calculator with the ‘sin’, ‘cos’, ‘tan’, e(x) and log functions. Applied Math students and students in the 30S Honours program must purchase a graphing calculator (Texas Instrument TI-83 plus is recommended).
Mathematics 10F (MATH 10F)
This remedial Mathematics 10F is a prerequisite to Grade 10 mathematics courses. It is only available to students who have previously completed the course but failed to earn their Grade 9 Math credit.
Grade 10, 11 and 12 Mathematics
The high school mathematics curricula consists of three streams at the Grade 10 level and four streams at the Grade 11 and Grade 12 levels. The streams consist entirely of ‘S’ level courses and should be considered academically challenging for all students. While the universities in Manitoba will certainly require students to complete the Pre-Calculus stream for entry into a mathematic-related faculty or into a university Calculus course, some faculties accept either the Pre-Calculus or Applied Math. Consumer Math is accepted for entry into only certain post-secondary programs or faculties. More information is available either by calling the Student Services department at Fort Richmond Collegiate or by contacting the universities and community colleges.
Accounting Systems 40S will satisfy the compulsory Grade 12 component for graduation.
Pre-Calculus Math 20S (MPC 20S)
This course is intended for students who plan to enter university to study in a mathematics-related field. Problem-solving, mental mathematics and cumulative
testing are featured. Topics include: algebraic expressions, linear equations, simultaneous equations, inequalities, factoring and some of its applications,
trigonometry, exponents, radicals and coordinate geometry. A minimum mark of 65% in Math 10F is recommended. (Prerequisite: MATH 10F). Please note: Only students enrolled in Pre-Calculus 20S will be considered for the Advanced Placement program.
Applied Math 20S (MAP 20S)
Applied Math 20S is data-driven. Students collect data through experiments and activities, and develop mathematical concepts from analysis of the data. Students are expected to work both individually and in small groups, and to demonstrate responsibility, flexibility and independence in their learning. Topics include: spreadsheets, technical communication, exploring mathematics using technology, linear models and patterns, 2D/3D projects, relations and functions, coordinate geometry, measurement technology, trigonometry, data management. A minimum mark of 65% in Math 10F is recommended. (Prerequisite: MATH 10F)
Consumer Math 20S (MCO 20S or MCO 20SA)
Consumer Math is intended to help students become “informed” consumers and will provide students with the necessary skills. This course prepares students by teaching them number sense, consumer problem-solving and decision-making. Topics include: wages and salaries, banking, spatial geometry, trigonometry and spreadsheets, as well as problem analysis and recreational math. This math stream is not accepted as a prerequisite for a number of post-secondary programs. Students are advised to speak with a counsellor. (Prerequisite: MATH 10F)
**A - adapted instruction please refer to page 3 of the student handbook.
Pre-Calculus Math 30S (MPC 30S)
It is desirable that a student registering for Pre-Calculus Math 30S has a minimum mark of 65% in Pre-Calculus Math 20S. Topics include coordinate geometry,
systems of equations, graphs, functions, logic, quadratic functions, parallel lines, quadrilaterals, circles, areas, and some trigonometry. (Prerequisite: Pre-Calculus Math 20S)
Applied Math 30S (MAP 30S)
This level of Applied Math is also data-driven. A good portion of the course content involves both the design and the implementation of various experiments for the purposes of collecting and analyzing numerical data. Topics include: personal finance, data management, technical communication, systems of equations,
graphing linear and non-linear data, circle geometry, precision measurement and linear programming. (Prerequisite: MAP 20S or MPC 20S)
Consumer Math30S (MCO 30S or MCO 30SA)
This course is a continuation of the Grade 10 Consumer Math program, with a renewed focus on consumer decision-making. This project-based course prepares students to become informed consumers. Topics include: functions and relations, income and debt, operating a vehicle and statistics and probability. (Prerequisite: MCO 20S / MAP 20S / MPC 20S)
Pre-Calculus Math 40S (MPC 40S)
Students are expected to have competency in the skills developed in Grade 9, 10 and 11 Math courses, and should have an average of at least 65% in Pre-Calculus Math 30S. Topics include: functions, trigonometry with respect to the unit circle, permutations, combinations and the binomial theorem, probability, geometric progressions, statistics, logarithms and exponential functions. (Prerequisite: Pre-Calculus Math 30S)
Applied Math 40S (MAP 40S)
This course is a continuation of the Applied Math curriculum. The students will complete several major projects and must be self-directed and independent
learners. Topics include: Matrices, Vectors, Sequences, Design and Measurement, Personal Finance, Periodic Functions and Statistics. (Prerequisite: MAP 30S or MPC 30S)
Consumer Math 40S (MCO 40S)
As a continuation of Consumer Math 20S and 30S, this course focuses on communication, number sense and problem-solving in relation to life as a consumer. Topics include: government revenues, investments, taxation, variation and statistics. The course culminates in a Life Project which highlights certain career skills.
(Prerequisite: MCO 30S / MAP 30S/ MPC 30S)
Calculus 45S (MCI 45S)
Calculus is a branch of mathematics that allows students to further develop their skills in algebra and the properties of functions and to apply the tools of calculus to solving practical problems. Any student intending to study Calculus at the university level should enrol in this course. It is recommended that students
complete Pre-Calculus 40S before taking Calculus 45S or take Pre-Calculus 40S concurrently. (Prerequisite: Pre-Calculus 30S)
AP Mathematics Program
The Advanced Placement Program is designed for students who can benefit from university level studies while in high school. In the spring, teachers recommend potential AP students from the Pre-Calculus 20S classes to participate in this challenging program the following year. The content of the calculus portion of the program is similar to that offered in a first year calculus course at the university.
The AP Math Pattern:
Grade 11:
MPC 30SH (1 credit) and
Calculus 45SH (MCI 45SH )(0.5 credit).
Grade 12:
MPC 40SH (1 credit) and AP Calculus 42S (CAL(AB) 42S)(1credit) or
AP Advanced Calculus BC (CAL(BC) 42S)(1 credit).
Pre-Calculus Math Honours 30SH (MPC 30SH)
Math 30SH covers all topics in the Pre-Calculus 30S Manitoba Provincial Curriculum as well as select topics from the Pre-Calculus 40S course. The pace of this
course is accelerated compared to the regular program. Teachers invite potential AP students from Pre-Calculus 20S classes to participate in this challenging program.
Pre-Calculus Math Honours 40SH (MPC 40SH)
Math 40SH covers all topics in the Pre-Calculus 40S Manitoba Provincial Curriculum as well as an in depth look at trigonometry and other topics. The pace of this course is accelerated compared to the regular program
Calculus Honours 45SH (MCI 45SH)
This is the introductory calculus course for Advanced Placement students. See Calculus 45S for the course description.
AP Calculus 42S(CAL(AB) 42S)
This course is an extension of Calculus 45S. It explores differentiation and integration at a level comparable to first year university in preparation for
the Advanced Calculus AB 42S exam.
AP Advanced Calculus 42S (CAL(BC) 42S)
This course is intended for students who have written the CAL(AB) 42S exam. Other students will be allowed to enroll depending upon their mathematical backgrounds. The course will provide an opportunity to continue with the study of mathematical topics that will be useful at the university level. The course
content includes an in depth review of the previous AP courses, matrices, vectors, the theory of equations, mathematical induction, complex variables, polar coordinates, 3-dimensional geometry, and further topics from Calculus to prepare for the second level AP Calculus BC exam. This course is a full credit course offered in the second semester.
At FRC, math programs focus on the essential skills necessary to ensure success at the next level of math. Students are given opportunities to assess their own level of achievement in each of these skills and will be expected to continuously practice and demonstrate their proficiency in these topics.
Choosing a Program
One of the most difficult decisions in making course selections for Grade 10 will be in choosing a level of mathematics that is appropriate to the student’s needs and abilities. In making your decision please consider the following:
a) How successful was the student in Grade 9 Math? Was his/her mark an accurate reflection of ability and effort? If the mark was between:
i) 50% and 65% - consider Consumer Math
ii) Over 65% - consider Applied Math or Pre-Calculus Math
b) What are the student’s educational plans after graduation?
c) How hard is the student prepared to work?
Both Pre-Calculus and Applied Math will require approximately one hour of homework each night. Most of the work in Consumer Math can be done in class with some homework.
NOTE: All students require a scientific calculator with the ‘sin’, ‘cos’, ‘tan’, e(x) and log functions. Applied Math students and students in the 30S Honours program must purchase a graphing calculator (Texas Instrument TI-83 plus is recommended).
Mathematics 10F (MATH 10F)
This remedial Mathematics 10F is a prerequisite to Grade 10 mathematics courses. It is only available to students who have previously completed the course but failed to earn their Grade 9 Math credit.
Grade 10, 11 and 12 Mathematics
The high school mathematics curricula consists of three streams at the Grade 10 level and four streams at the Grade 11 and Grade 12 levels. The streams consist entirely of ‘S’ level courses and should be considered academically challenging for all students. While the universities in Manitoba will certainly require students to complete the Pre-Calculus stream for entry into a mathematic-related faculty or into a university Calculus course, some faculties accept either the Pre-Calculus or Applied Math. Consumer Math is accepted for entry into only certain post-secondary programs or faculties. More information is available either by calling the Student Services department at Fort Richmond Collegiate or by contacting the universities and community colleges.
Accounting Systems 40S will satisfy the compulsory Grade 12 component for graduation.
Pre-Calculus Math 20S (MPC 20S)
This course is intended for students who plan to enter university to study in a mathematics-related field. Problem-solving, mental mathematics and cumulative
testing are featured. Topics include: algebraic expressions, linear equations, simultaneous equations, inequalities, factoring and some of its applications,
trigonometry, exponents, radicals and coordinate geometry. A minimum mark of 65% in Math 10F is recommended. (Prerequisite: MATH 10F). Please note: Only students enrolled in Pre-Calculus 20S will be considered for the Advanced Placement program.
Applied Math 20S (MAP 20S)
Applied Math 20S is data-driven. Students collect data through experiments and activities, and develop mathematical concepts from analysis of the data. Students are expected to work both individually and in small groups, and to demonstrate responsibility, flexibility and independence in their learning. Topics include: spreadsheets, technical communication, exploring mathematics using technology, linear models and patterns, 2D/3D projects, relations and functions, coordinate geometry, measurement technology, trigonometry, data management. A minimum mark of 65% in Math 10F is recommended. (Prerequisite: MATH 10F)
Consumer Math 20S (MCO 20S or MCO 20SA)
Consumer Math is intended to help students become “informed” consumers and will provide students with the necessary skills. This course prepares students by teaching them number sense, consumer problem-solving and decision-making. Topics include: wages and salaries, banking, spatial geometry, trigonometry and spreadsheets, as well as problem analysis and recreational math. This math stream is not accepted as a prerequisite for a number of post-secondary programs. Students are advised to speak with a counsellor. (Prerequisite: MATH 10F)
**A - adapted instruction please refer to page 3 of the student handbook.
Pre-Calculus Math 30S (MPC 30S)
It is desirable that a student registering for Pre-Calculus Math 30S has a minimum mark of 65% in Pre-Calculus Math 20S. Topics include coordinate geometry,
systems of equations, graphs, functions, logic, quadratic functions, parallel lines, quadrilaterals, circles, areas, and some trigonometry. (Prerequisite: Pre-Calculus Math 20S)
Applied Math 30S (MAP 30S)
This level of Applied Math is also data-driven. A good portion of the course content involves both the design and the implementation of various experiments for the purposes of collecting and analyzing numerical data. Topics include: personal finance, data management, technical communication, systems of equations,
graphing linear and non-linear data, circle geometry, precision measurement and linear programming. (Prerequisite: MAP 20S or MPC 20S)
Consumer Math30S (MCO 30S or MCO 30SA)
This course is a continuation of the Grade 10 Consumer Math program, with a renewed focus on consumer decision-making. This project-based course prepares students to become informed consumers. Topics include: functions and relations, income and debt, operating a vehicle and statistics and probability. (Prerequisite: MCO 20S / MAP 20S / MPC 20S)
Pre-Calculus Math 40S (MPC 40S)
Students are expected to have competency in the skills developed in Grade 9, 10 and 11 Math courses, and should have an average of at least 65% in Pre-Calculus Math 30S. Topics include: functions, trigonometry with respect to the unit circle, permutations, combinations and the binomial theorem, probability, geometric progressions, statistics, logarithms and exponential functions. (Prerequisite: Pre-Calculus Math 30S)
Applied Math 40S (MAP 40S)
This course is a continuation of the Applied Math curriculum. The students will complete several major projects and must be self-directed and independent
learners. Topics include: Matrices, Vectors, Sequences, Design and Measurement, Personal Finance, Periodic Functions and Statistics. (Prerequisite: MAP 30S or MPC 30S)
Consumer Math 40S (MCO 40S)
As a continuation of Consumer Math 20S and 30S, this course focuses on communication, number sense and problem-solving in relation to life as a consumer. Topics include: government revenues, investments, taxation, variation and statistics. The course culminates in a Life Project which highlights certain career skills.
(Prerequisite: MCO 30S / MAP 30S/ MPC 30S)
Calculus 45S (MCI 45S)
Calculus is a branch of mathematics that allows students to further develop their skills in algebra and the properties of functions and to apply the tools of calculus to solving practical problems. Any student intending to study Calculus at the university level should enrol in this course. It is recommended that students
complete Pre-Calculus 40S before taking Calculus 45S or take Pre-Calculus 40S concurrently. (Prerequisite: Pre-Calculus 30S)
AP Mathematics Program
The Advanced Placement Program is designed for students who can benefit from university level studies while in high school. In the spring, teachers recommend potential AP students from the Pre-Calculus 20S classes to participate in this challenging program the following year. The content of the calculus portion of the program is similar to that offered in a first year calculus course at the university.
The AP Math Pattern:
Grade 11:
MPC 30SH (1 credit) and
Calculus 45SH (MCI 45SH )(0.5 credit).
Grade 12:
MPC 40SH (1 credit) and AP Calculus 42S (CAL(AB) 42S)(1credit) or
AP Advanced Calculus BC (CAL(BC) 42S)(1 credit).
Pre-Calculus Math Honours 30SH (MPC 30SH)
Math 30SH covers all topics in the Pre-Calculus 30S Manitoba Provincial Curriculum as well as select topics from the Pre-Calculus 40S course. The pace of this
course is accelerated compared to the regular program. Teachers invite potential AP students from Pre-Calculus 20S classes to participate in this challenging program.
Pre-Calculus Math Honours 40SH (MPC 40SH)
Math 40SH covers all topics in the Pre-Calculus 40S Manitoba Provincial Curriculum as well as an in depth look at trigonometry and other topics. The pace of this course is accelerated compared to the regular program
Calculus Honours 45SH (MCI 45SH)
This is the introductory calculus course for Advanced Placement students. See Calculus 45S for the course description.
AP Calculus 42S(CAL(AB) 42S)
This course is an extension of Calculus 45S. It explores differentiation and integration at a level comparable to first year university in preparation for
the Advanced Calculus AB 42S exam.
AP Advanced Calculus 42S (CAL(BC) 42S)
This course is intended for students who have written the CAL(AB) 42S exam. Other students will be allowed to enroll depending upon their mathematical backgrounds. The course will provide an opportunity to continue with the study of mathematical topics that will be useful at the university level. The course
content includes an in depth review of the previous AP courses, matrices, vectors, the theory of equations, mathematical induction, complex variables, polar coordinates, 3-dimensional geometry, and further topics from Calculus to prepare for the second level AP Calculus BC exam. This course is a full credit course offered in the second semester.