Revision of the technical-scientific mathematics program (Ts4)

To make learning easier and more successful in your child’s next math class, it’s important for him or her to master certain essential concepts. This page will give you access to the key concepts of the Mathématiques technico sciences (TS4) program. This knowledge is 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 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 evaluated by a problem situation that raises one or more aspects of a problem that needs to be solved using mathematical knowledge.

Compétence 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.

 

 

The Ministry exam

 

 

In Secondary 4, your child must pass the Ministry’s Épreuve unique. Successful completion of the CST4, TS4 or SN4 mathematics course is a prerequisite for the Secondary School Diploma (SSD). This test assesses the development of Competency 2: Mathematical Reasoning. It focuses on the main concepts and processes covered in the CST4, TS4 or SN4 mathematics program. The test accounts for 50% of the overall mark for Competency 2.

Information document – Single tests – Mathematics, Secondary 4

 

 

 

Key skills for higher levels

 

The knowledge below represents the key knowledge required for success at higher levels. The PFEQ program and the PDA remain the official reference documents.

 

 

Arithmetic  – Algebra

 

• Multiplying algebraic expressions
• Divide a polynomial by a polynomial

Division of a polynomial by a binomial (mathematics)

 

• Factorize

Simple and double highlighting

Alloprof – Factorisation by single highlighting

Alloprof – Factorisation by Double Highlighting

 

• Sum product

Factoring using the product and sum technique

 

• Perfect square trinomial

Factorization of perfect square

 

• Difference in squares

Factorisation by difference of squares

 

• Handling regular expressions

Alloprof – Adding and subtracting rational fractions

Alloprof – Division of Rational Fractions

 

• Use the quadratic formula

The zeros of the degree 2 polynomial function

 

• Résoudre graphiquement une inéquation du 1er degré à 2 variables Traduire une situation par un système d’équations

 

 

Solve a system of 1st degree equations with 2 variables

 

Comparison method

Alloprof -Solving with the comparison method

 

Reduction method

Alloprof – Solving a system of equations by reduction

 

Substitution method

Alloprof – Solving a system of equations by substitution

 

• Describe the role of parameters a, b,

Role of parameters on functions

 

• La fonction quadratique

Alloprof – Degree 2 Polynomial Function Graph

 

• The integer function

Alloprof – Integer Function Equation

 

Listen: make a graph of the integer function

 

• Describe the properties of functions

Properties of functions 1

Properties of functions 2

 

The fonctions

 

The quadratic function: ?(?)=??2 (find the rule and determine values)

Maths TS4 – second-degree polynomial function

 

The exponential function: ?(?)=??? (find the rule and determine values)

Math TS 4 – The exponential function

 

The basic square root function

Math TS4 square root function

 

The basic logarithm function

Math TS4 – Logarithm functions

 

The basic integer function

Math TS4 – Integer function

 

The function defined by parts

Math TS4 – Function defined by parts

 

 

 

Probability Statistics

 

• Describe and interpret the relationship between 2 variables (qualitative and quantitative with the correlation coefficient)

Alloprof – The correlation coefficient

 

• Regression line (Mayer and median-median methods)

Alloprof – The median-median straight line method

 

 

• Mayer straight line method

Mayer’s right

 

 

Geometry

 

 

• Find a measure in a right-angled triangle using metric relationships

Geometry: metric relations

 

• Find a measure in a right-angled triangle using trigonometric ratios (sin, cos, tan)

Trigonometric ratios (sin, cos, tan)

 

• Find a measure in a triangle using the law of sines

Sinus law

 

• Calculate the area of a triangle using Heron’s formula and trigonometric formula

Calculating the area of a triangle (Heron’s law)

 

 

Analytical geometry

 

 

• Calculate the distance between two points

The distance between two points

The dividing point of a segment

 

• The right: functional form (find the rule and determine values)

Equation of the affine function

Alloprof – Switching from one form of equation to another

 

• Determine the relative position of a line and determine the equation of a parallel or perpendicular line

 

• Relative position of straight lines

 

 

 

Useful links to help

 

Cyber Révision to help you prepare for the MÉES SN4 single test.

CyberRevision – Mathématiques TS4 #1

CyberRévision – Mathématiques TS4 #2

 

Document ministériel concernant l’Épreuve unique en mathématique au secondaire

Information document – Épreuves uniques – Mathématiques, 4e année du secondaire

 

Programme formation de l’école québécoise (PFEQ) for Secondary Cycle 2 mathematics

Mathematics – Cycle 2 – Secondary

 

Secondary school pathway chart – Vocational training and CEGEP

VET and CEGEP pathways chart

 

Table of CEGEP prerequisites

TABLE OF PREREQUISITES

Essential skills for high school:

 

High school mathematics :

• Revision mathématiques 2e secondaire
• 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 1
• 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 One English as a Second Language
• Secondary Cycle ESL
• Become an ESL tutor at the secondary level
• Tips to make homework easier