Natural Sciences Mathematics Program (SN5)
To help you succeed in your Cégep program next year, it’s important to master certain essential concepts. This page gives you access to the key concepts of the SN5 mathematics program. This knowledge is in line with the Quebec Education Program (QEP) and the Learning Pregression (PDA), available on the Ministry of Education and Higher Education of Quebec website.
What is decisive knowledge (learning)?
It corresponds to what your child needs to know, be able to do or understand to succeed in the new maths program. For learning to be decisive, it must be prerequisite, transferable and durable.
Prerequisite: Does it prepare your child for other essential learning in the field in question?
Transferable: Is it useful for your child in other school subjects or disciplines?
Durable: Is it useful for your child throughout his or her life?
Skills assessed during the mathematics course
Your child is assessed on the following two skills:
Competence 1 (C1)
Solving a problem situation (30%)
Your child is assessed through a problem situation that raises one or more aspects of a problem that needs to be solved using mathematical knowledge.
Competence 2 (C2)
Use mathematical reasoning (70%)
Your child is assessed with application situations that raise one or more conjectures (relationships, statements, opinions, conclusions, etc.), implicit or explicit, that need to be discovered, explained, generalized, proved or disproved using mathematical knowledge.
Final exam
In Secondary 5, your child does not have to take a Ministry exam. However, his or her educational institution should administer two end-of-school-year exams. The first test, usually in May, assesses the development of Competency 1: Problem-solving. The second test, at the end of the school year, assesses the development of Competency 2: Mathematical Reasoning. These tests focus on the main concepts and processes taught in the SN5 mathematics program.
Key skills for higher levels
The knowledge below represents the key knowledge required for success at higher levels. The PFEQ program and the PDA
Arithmetic
- Manipulate numerical expressions involving powers, exponents and radicals using their properties
How to rationalize the denominator
- Handle numerical expressions involving logarithms (change of base and properties)
Demonstration: base change formula
- Handling numerical expressions with absolute values
Absolute values definition – course reminder
Algebra
The fonctions
- Exponential function
Alloprof – Problem solving : the exponential function
- Logarithm
Alloprof – Logarithmic Function Graph
- Square root
Alloprof – Square Root Equation
- Rational
Alloprof – Rational Function Equation
Allô prof – Graph of the rational function
- Absolute value
Alloprof – Absolute Value Function Equation
Alloprof – Absolute Value Function Graph
Trigonometric
Alloprof – Sine Function Equation
Alloprof – Sine Function Graph
- Perform function composition and operations on functions
Alloprof – The reciprocal of functions
Compound of two functions part 1
Geometry
- Defining the radian concept
Alloprof – Link between degrees and radians
- Demonstrating trigonometric identities
Alloprof – Demonstrations of Trigonometric Identities
Alloprof – Demonstrations of Trigonometric Equalities
- Define a vector and represent it graphically
- Perform operations on vectors
Vectors: addition and subtraction
- Understanding and analyzing the trigonometric circle
Alloprof – Introduction to the Trigonometric Circle
Alloprof – Remarkable Points of the Trigonometric Circle
Useful links to help
Programme formation de l’école québécoise (PFEQ) for Secondary Cycle 2 mathematics
Mathematics – Cycle 2 – Secondary
Secondary school pathways table – Vocational training and CEGEP
Table of CEGEP prerequisites
Essential skills for high school:
High school mathematics :
- Revision Secondary 1 mathematics
- Revision Secondary 2 mathematics
- Revision Secondary 3 mathematics
- Revision of the mathematics technico sciences program (TS4)
- Revison of Culture, Society and Technology (CST4)
- Revison of the mathematics and natural sciences program (SN4)
- Revision of the mathematics technico sciences program (TS5)
- Revison of the mathematics natural sciences program (SN5)
- Tips to make homework easier
- Becoming a high school math tutor
- Find a math tutor
- Find an algebra tutor
- Find a science tutor
- Find a biology tutor
- Find a physics tutor
- Find a chemistry tutor
French in high school :
- Revision of French in Secondary 1
- Revision of French in Secondary 2
- Revision of French in Secondary 3
- Revision of French in Secondary 4
- Revision of French in Secondary 5
- Become a high school French tutor
- Find a French or French as a second language tutor
Secondary 4 History
English as a second language in secondary schools :
-
- Secondary Cycle 1 English as a Second Language
- Secondary Cycle 2 English as a Second Language
- Become an ESL tutor at the secondary level
- Tips to make homework easier