Mathematics is a core subject that builds on itself. Success at one level depends on having the necessary pre-requisites from the previous course. The Mathematics program is designed to help students learn to use algebra to generalize situations, enable them to apply their knowledge of geometric figures, and help them develop the ability to analyze statistical data. Course pre-requisites are listed at the beginning of each course description and are important, especially for entry into some Cycle Two-Year Two and Cycle Two-Year Three courses, as some of these courses are essential to gain entry into the Sciences in C.E.G.E.P.

**MATHEMATICS Cycle One-Year One**

The primary goal of Mathematics is to prepare students for the study of algebra. This is a two-step process. The first step involves facilitating the transition to algebra by ensuring that the necessary arithmetic skills have been mastered. The second step enables students to grasp certain differences between arithmetic and algebra. As with all the Mathematics courses, the second major goal of Mathematics is to provide better training in “geometric thinking” through the study of various shapes and their properties. Finally, the students begin an exploration of statistics.

**MATHEMATICS Cycle One-Year Two**

The goal of Mathematics is to help students discover the advantages of expressing ideas mathematically using several modes of representation, in order to acquire a complete understanding of a situation. The various forms of representation include the use of numerical expressions, diagrams and pictures, tables of values, different types of graphs, algebraic expressions, equations and formulae. These are applied in many situations, including geometric and statistical ones.

**MATHEMATICS Cycle Two-Year One**

In Cycle Two-Year One, students expand on their knowledge of Mathematics as a powerful and useful language or communication tool. They also learn that different modes of representation are useful in problem-solving. Students use algebra to derive general rules from a number of specific situations. Conversely, they apply these general rules to individual cases. They generalize the properties of these operations and then apply these properties to algebraic expressions. In so doing, the students continue learning about algebraic manipulations.

**MATHEMATICS Cycle Two-Year Two**

Students choose from two Math options based on their strengths in Mathematics, their aspirations for the future, and their fields of interest.

**TECHNICAL AND SCIENTIFIC (TS)**

- Specifically prepares students for studies in technical programs as well as Commerce.
- Encourages the exploration of different areas of study.
- The emphasis is on case studies as well as the development of a student’s ability to identify errors and anomalies in processes or solutions, with a view to defining the problem and taking appropriate corrective action.
- Also requires students to identify the mathematical concepts and processes associated with the design, operation or use of certain technical instruments.

**NATURAL SCIENCE (NS)**

- This option focuses on the student’s ability for abstract thinking and relies on a formal use of rules and conventions.
- The student is most often presented with situations having a purely mathematical context linked to several of the domains associated with the pure sciences.
- The student is most often presented with situations where the mathematical theory precedes its application.
- Specifically prepares students for studies in the natural sciences or for technical programs related to the natural sciences.
- Develops an understanding of the origin of different phenomena and how they work.
- Emphasis is on finding, developing, and analyzing models within the context of experiments mainly related to the scientific fields.
- Students wishing to take Physics and Chemistry in Cycle Two-Year Three must be enrolled in NS Math in Cycle Two-Year Three.

**Grade Pre-requisites:**Students must achieve at least 75% in Cycle Two-Year One Mathematics in order to take NS Mathematics in Cycle Two-Year Two. Students who obtain less than 75% will be placed in TS Mathematics.

Cycle Two-Year Two TS Math: Students who wish to take NS Math in Cycle Two-Year Three can upgrade in summer school. However, students who do NOT want to take the higher-level math courses, based on their planned course of study at C.E.G.E.P., may also choose to enroll in TS Math.

**PROVINCIAL EXAMS**

Regardless of the Mathematical option chosen (NS or TS), all Cycle Two-Year Two students will be writing a Mathematics provincial exam provided by the “Ministère de l’Éducation et de l’Enseignement supérieur” (MEES) at the end of the school year.

**MATHEMATICS Cycle Two-Year Three**

Students choose from three Math options based on their strengths in Mathematics, their aspirations for the future, and their fields of interest.

The Cycle Two-Year Three Mathematics courses are CST, TS, and NS. The TS and NS courses are primarily a continuation of the two courses offered in Cycle Two-Year Two. The basic objectives, methodologies, and course philosophy of the Cycle Two-Year Three courses are the same as their correspondingly named Cycle Two-Year Two courses, only the content is different. In addition to the TS and NS course, students may also choose a CST course.

CULTURAL, SOCIAL and TECHNICAL

- Intended for students who are pursuing a career at the C.E.G.E.P. level where Math is not a prerequisite.
- Emphasizes situations that students will encounter in their personal and professional lives.
- Learning content for this option allows students to build on their knowledge of basic mathematics.
- Involves a greater use of statistics and discrete mathematics.

**Grade Pre-requisites:**Most students will continue on the same path in Cycle Two-Year Three as they selected in Cycle Two-Year Two, i.e., Cycle Two-Year Two NS students usually take NS Mathematics in Cycle Two-Year Three. To continue in Cycle Two-Year Three NS Mathematics, a student needs a final Cycle Two-Year Two NS Mathematics mark of at least 75%. To continue in Cycle Two- Year Three TS Mathematics, a student needs a final Cycle Two-Year Two TS Mathematics mark of at least 75%. Students, who do not attain any of these minimum grades, may attend summer school to improve their mark and move into TS or NS Mathematics. No pre-requisite is necessary for a student to choose CST Mathematics in Cycle Two-Year Three.