Mathematics     563-100 / 563-212

The focus is on the attainment of three mathematical competencies:
• To solve situational problems
• To reason mathematically
• To communicate mathematically

By the end of Secondary Cycle 1, students have studied concepts and processes in the following branches of mathematics:
• In arithmetic, students apply their understanding of numbers and operations where they use numbers written as decimals or fractions in comparing or estimating values, doing mental or written computation, and following the order of operations. They estimate the order of magnitude of a result, convert numbers written in fractional and decimal notation, apply divisibility criteria, and represent situations on a number line or in a Cartesian plane
• In algebra, students simplify and multiply algebraic expressions, solve equations with one unknown and model situations by describing them algebraically. They apply certain algebraic procedures to show that a conjecture is true, by solving equations and applying formulas. They interpret algebraic expressions and associate them with different types of representations.
• In probability, students consider possibilities and chance as parameters. They study the relationships between two simple events and use different diagrams to derive rules and connections based on the properties of arithmetic operations. They verify conjectures through experiments, simulations, and statistical analysis of data.
• In statistics, students plan ways of collecting data and conducting surveys. They differentiate between the qualitative and quantitative aspects of data. They organize the data and choose the most appropriate way of displaying, interpreting and formulating conclusions based on a graphical method to process the data.
• In geometry, students learn to recognize the characteristics of common figures and perform operations on plane figures by means of geometric transformations. They compare and calculate angles, lengths and areas, form nets for solids and draw them. They learn the definitions and properties of the figures they use to solve problems involving simple deductions.

Mathematics 314 

The focus is on increasing the student's ability to establish connections, to communicate mathematically, to use problem-solving strategies, and to reason. The course content includes:
> using algebra to generalise situations
)=. applying acquired and new knowledge of geometric figures
> developing the ability to analyse statistical data.
Most students will complete one of the following course selection sequences:
Secondary III Secondary IV Secondary V
Math 314 Math 416 Math 514
Math 314 Math 426 Math 526
Math 314 Math 436 Math 536
1. To be eligible for a Secondary School Diploma (DES), a student now must successfully complete a Secondary IV Math course (416, 426 or 436).
2. To be eligible for CEGEP admission a student, in addition to the obligatory requirements of the Secondary School Diploma, must have succeeded in: Secondary IV Physical Science
Secondary V Mathematics or Mathematics 436 (568-436) and in some cases Mathematics 426 (568-426).
3. The regular path (Mathematics 314-416-514) provides students with the prerequisites for some social science options and some technical options.
4. The intermediate path (Mathematics 314-426-526) provides students with the prerequisites for some technical, social science options and now commerce options.
5. The enriched path (Mathematics 314-436-536) provides students with the prerequisites for Science and commerce options and for more demanding technical options.

Mathematics 416 568-416 6 credits/Secondary IV

This course is designed for students who have successfully completed Secondary III Mathematics. Problem solving is encouraged at all stages of the learning process. Topics in algebra include relations and functions, the straight line, equations, and inequations. In geometry problems in real-life settings are used to study congruence, similarity, and properties of solids. Trigonometry problems involving right triangles are studied.
Prerequisite: Mathematics 314

Mathematics 426 568-426 6 credits/Secondary IV

This course is designed for students who have successfully completed Secondary III Mathematics. It is more demanding than Math 416, but not as difficult as Math 436. It is designed for students who wish to pursue a commerce or technical education at CEGEP, not for those who wish to study Science, or advanced technical options. The content is based on the Math 436, though not to the same degree.
Prerequisite: Mathematics 314 (those students with a Math average of at least 75% or more should consider Math 436).

Mathematics 436 568-436 6 credits/Secondary IV

This course is designed for Secondary IV students who wish to study science, commerce, business administration, or an advanced technology at CEGEP. Problem solving is emphasised at all stages of the learning process. The course content includes an in-depth
study of complex situations, problems, and applications along with a more advanced study of real numbers, binary relations and functions.
Prerequisite: An average of 75% or more in Mathematics 314 is required to take this course.
NOTE: Math 416 cannot be used as a prerequisite to Math 436 or Math 536.

Mathematics 514 568-514 4 credits/Secondary V

This course is designed for students who have successfully completed Secondary IV mathematics. Problem solving is encouraged at all stages of the learning process. The program includes the application of arithmetic and algebraic concepts, the analysis of geometric situations, and an introduction to the analysis of statistical and probability data. Prerequisite: Mathematics 416 or Mathematics 436

Mathematics 526 568-526 6 credits/Secondary V

This course is designed for students who have successfully completed Mathematics 426 or 436. It is more demanding than Mathematics 514, but not as demanding as Mathematics 536. It is designed for those who wish to pursue a business or technical education at CEGEP, along with commerce not for those who wish to study Science, or the advanced technical options. The content is based on Mathematics 536, though not to the same degree.
Prerequisite: Mathematics 426 or 436

Mathematics 536 568-536 6 credits/Secondary V

This course is designed for Secondary V students who wish to study science, commerce, business administration, or an advanced technology at CEGEP and who have demonstrated the ability to do so. The focus is on the development of a logical, structured, and formal approach at all stages of the learning process. The course content includes binary relations, real functions, and geometry using a problem-solving approach at all stages of the learning process. A study of conics, exponential functions, logarithmic functions, and trigonometric functions and their applications is an integral part of the program.
Prerequisite: Mathematics 436
NOTE: Mathematics 514 cannot be used as a prerequisite to Mathematics 536.