Revision of the technical-scientific mathematics program (TS5)

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 Math Techno-Science (TS5) 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 exa

 

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

The logarithm function

 

• Handling numerical expressions with absolute values

Absolute values definition – course reminder

 

 

Algebra

 

The fonctions

 

• Exponential function

Exponential function

Alloprof – Problem solving: the exponential function

Alloprof – Problem solving : the exponential function (part 2)

 

 

• Logarithm

Alloprof – Logarithm Function

Alloprof – Logarithmic Function Graph

Alloprof – Solve Logarithm Function

 

 

• Square root

Alloprof – Graph the square root function

Alloprof – Solve Square Root Function

Alloprof – Square Root Equation

 

• Rational

Allô prof – Rational function equation

Allô prof – Graph of rational function

Allô prof – Graphique de la fonction rationnelle

 

 

• Absolute value

All0prof – Equation of the absolute value function

Alloprof – Absolute Value Function Graph

Alloprof – Solve an absolute value equation

 

 

• 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

 

 

• Optimization

Analyze a situation to be optimized: perform all the steps of a linear optimization

Alloprof – Problem solving : optimization – p1

Alloprof – Problem solving : optimization – p2

 

 

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

Vectors and their properties

 

 

• Perform operations on vectors

Vectors: addition and subtraction

Scalar product of two vectors

Chasles relation

 

 

• 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

Secondary 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 :

• 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

• Tips to make homework easier

Secondary 4 History

• Secondary 4 History revison
• Becoming a high school history tutor
• Tips to make homework easier

 

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