Secondary 3 mathematics
To help your child learn and succeed in his or her Secondary 4 math program, it’s important to master certain essential concepts. This page gives you access to the key concepts of the Secondary 3 mathematics program, in line with the Quebec Education Program (QEP) and the learning progression (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 his or her new mathematics program. For learning to be decisive, it must be prior, transferable and lasting.
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 evaluated by a problem situation that raises one or more aspects of a problem that needs to be solved using mathematical knowledge.
Competence 2 (C2)
Mathematical reasoning (70%)
Your child is evaluated with application situations that raise one or more conjectures (relationships, statements, opinions, conclusions, etc.), implicit or explicit, that need to be discovered, explained, generalized, proven or refuted using mathematical knowledge.
Final exam
In Secondary 3, 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 covered in the Secondary 3 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
- Handling the properties of powers
Power and exponent: calculation rules
Algebra
- Multiplication by a monomial and multiplication of a binomial by a binomial
Allô prof – Multiplication of monomials
Allô prof – Multiplication in algebra (continued)
- Division by a monomial
Allô prof – Division by a monôme
- Translate a situation into a one-variable first-degree inequation
How to translate a constraint into an inequation
Examples of translating a text into one-variable inequations
Examples of translating a text into one-variable inequalities
- Solving one-variable inequalities of the first degree
Listen to: Isolating the variable in an inequation
- Translate a situation into a system of first-degree equations with two variables
- Solve a two-variable system of equations of the first degree
Allô prof – Solving a system of equations by comparison
- Represent a situation graphically
Graphical resolution of a system of equations
- Select dependent and independent variables
Allô prof – Dependent and independent variables
- Degree 0 or 1 st degree function
- Rational function: k/x
Secondary 3 Québec: 2-6 inverse functions
- Describe the properties of functions in relation to a context
Statistic
- Determine and interpret measures of central tendency
Allô prof – Average, mode and median
Geometry
- Find missing measurements using the Pythagorean relationship
Alloprof – The Pythagorean Relation (Mathematics)
- Calculate lateral and total areas of cones and spheres
- Calculate volume of all solids (SN-CST-TS)
- Find missing measurements from area and volume of solids
Allô prof – Similarity ratios (k1, k2, k3)
Strategies for solving learning situations
How to solve a problem situation
How to make a problem situation!
Useful links to help you
How to choose a math sequence (CST – TS – SN)
Which math course to choose in Secondary 4 and 5?
SEQUENCE CHOICE FOR SECONDARY 4 MATHEMATICS Decision-making document
Choosing my math and science sequence
Programme formation de l’école québécoise (PFEQ) for 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 :
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- 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
