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

Secondaire 3 Québec : 3-2 isoler la variable d'une inéquation

 

 

  • 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

Fp and CEGEP pathways

Table of CEGEP prerequisites

TABLE OF PREREQUISITES

 

 

Essential skills for high school:

 

High school mathematics :

French in high school :

Secondary 4 History

 

English as a second language in secondary schools :

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