Content code
m1004
Slug (identifier)
review-guide-mathematics-secondary-4-ts
Parent content
Grades
Secondary IV
Topic
Mathematics
Introduction
This review guide is based on the Québec Education Program as suggested by the Ministère de l'Éducation et de l'Enseignement supérieur du Québec (MEES).
If you want to review all the content of your Secondary 4 Mathématiques TS course, you can rely on it, but note that there may be differences between what you have seen in class and what is suggested here because of the diversity of textbooks used, teaching techniques and specific programmes.
Content
Contenu
Corps
By the end of the fourth year of secondary school, here are the concepts that should be mastered in the mathematics course, Technico-sciences sequence:
Links
Type
Anchor
Title
Arithmetics
Anchor
arithmetics
Type
Anchor
Title
Algebra
Anchor
algebra
Type
Anchor
Title
Geometry
Anchor
geometry
Type
Anchor
Title
Analytical geometry
Anchor
analytical-geometry
Type
Anchor
Title
Probability
Anchor
probability
Type
Anchor
Title
Statistics
Anchor
statistics
Title (level 2)
Arithmetics
Title slug (identifier)
arithmetics
Contenu
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
Absolute Value Notation
Type
Internal
Title
The Laws of Exponents
Internal link
Type
Internal
Title
Radical Operations
Internal link
Type
Internal
Title
The Laws of Logarithms
Internal link
Anchor
laws-of-logarithms
Second column
Title
Crash course
Links
Type
Internal
Title
The Laws of Exponents
Internal link
Third column
Title
Exercises
Links
Type
External
Title
Les lois des exposants
Type
External
Title
Les logarithmes – Le passage d'une forme à l'autre
Title (level 2)
Algebra
Title slug (identifier)
algebra
Contenu
Title (level 3)
1. Manipulating Algebraic Expressions
Title slug (identifier)
manipulating-algebraic-expressions
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
Multiplying Algebraic Expressions
Type
Internal
Title
Dividing an Algebraic Expression by a Binomial
Second column
Title
Videos
Links
Type
Internal
Title
Multiplying Algebraic Expressions
Anchor
video-la-multiplication-en-algebre
Type
Internal
Title
Dividing an Algebraic Expression by a Binomial
Anchor
video-la-division-d-un-polynome-par-un-binome-par-crochet
Third column
Title
Exercises
Links
Type
External
Title
Multiplying Algebraic Expressions
Type
External
Title
Dividing an Algebraic Expression by a Binomial
Title (level 3)
2. Factoring
Title slug (identifier)
factoring
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
Factoring by Grouping
Internal link
Type
Internal
Title
The Difference of Squares
Internal link
Type
Internal
Title
The Perfect Square Trinomial
Type
Internal
Title
The Product-Sum Technique
Internal link
Second column
Title
Videos
Links
Type
Internal
Title
Explanation of factoring by grouping
Internal link
Anchor
video-factorisation-par-mise-en-evidence-double
Type
Internal
Title
Example 1 of factoring by grouping
Internal link
Anchor
video-factorisation-d-un-polynome-exemple-1-de-la-mise-en-e-vidence-double
Type
Internal
Title
Example 2 of factoring by grouping
Internal link
Anchor
video-factorisation-d-un-polynome-exemple-2-de-la-mise-en-e-vidence-double
Type
Internal
Title
Explanation of the difference of squares
Internal link
Anchor
video-factorisation-d-un-polynome-l-explication-de-la-difference-de-carres
Type
Internal
Title
Example 1 of the difference of squares
Internal link
Anchor
video-factorisation-d-un-polynome-exemple-1-de-la-difference-de-carres
Type
Internal
Title
Example 2 of the difference of squares
Internal link
Anchor
video-factorisation-d-un-polynome-exemple-2-la-difference-de-carres
Type
Internal
Title
Explanation of the perfect square trinomial
Anchor
video-factorisation-de-carres-parfaits
Type
Internal
Title
Example 1 of the perfect square trinomial
Anchor
video-factorisation-d-un-polynome-exemple-1-du-trinome-carre-parfait-mathematiques
Type
Internal
Title
Example 2 of the perfect square trinomial
Anchor
video-factorisation-d-un-polynome-exemple-2-du-trinome-carre-parfait-mathematiques
Type
Internal
Title
Explanation of the product-sum technique
Internal link
Anchor
video-factorisaton-d-un-polyno-me-explication-de-la-technique-produit-somme
Type
Internal
Title
Example 1 of the product-sum technique
Internal link
Anchor
video-factorisaton-d-un-polynome-exemple-1-de-la-technique-produit-somme
Type
Internal
Title
Example 2 of the product-sum technique
Internal link
Anchor
video-factorisaton-d-un-polynome-exemple-2-de-la-technique-produit-somme
Third column
Title
Exercise
Links
Type
External
Title
Factoring a polynomial
Title (level 3)
3. Manipulating Rational Expressions
Title slug (identifier)
manipulating-rational-expressions
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheets
Links
Type
Internal
Title
Adding and Subtracting Rational Expressions
Type
Internal
Title
Multiplying Rational Expressions
Type
Internal
Title
Dividing Rational Expressions
Type
Internal
Title
Simplifying Rational Expressions
Second column
Title
Videos
Links
Type
Internal
Title
Adding and Subtracting Rational Expressions
Anchor
video-l-addition-et-la-soustraction-de-fractions-rationnelles
Type
Internal
Title
Multiplying Rational Expressions
Anchor
video-la-multiplication-de-fractions-rationnelles
Type
Internal
Title
Dividing Rational Expressions
Anchor
video-la-division-de-fractions-rationnelles
Title (level 3)
4. Equations and Inequalities
Title slug (identifier)
equations-and-inequalities
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheets
Links
Type
Internal
Title
Representing Inequalities on a Cartesian Plane
Type
Internal
Title
Solving a Second Degree Equation or Inequality
Type
Internal
Title
Solving a Square Root Equation or Inequality
Type
Internal
Title
Solving an Exponential Equation or Inequality
Type
Internal
Title
Solving a Logarithmic Equation or Inequality
Second column
Title
Video
Links
Type
Internal
Title
Representing Inequalities on a Cartesian Plane
Anchor
video-les-systemes-d-inequations-representation-graphique
Title (level 3)
5. Systems of Equations
Title slug (identifier)
systems-of-equations
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Comparison Method
Internal link
Type
Internal
Title
The Substitution Method
Internal link
Type
Internal
Title
The Elimination Method (Reduction Method)
Internal link
Second column
Title
Videos
Links
Type
Internal
Title
Solving a system of equations by comparison
Internal link
Anchor
video-la-resolution-d-un-systeme-d-equations-par-comparaison
Type
Internal
Title
Solving a system of equations by substitution
Internal link
Anchor
video-resolution-d-un-systeme-d-equations-par-substitution
Type
Internal
Title
Solving a system of equations by elimination (reduction method)
Internal link
Anchor
video-resolution-d-un-systeme-d-equations-par-reduction
Title
Crash course
Links
Type
Internal
Title
Systems of equations
Third column
Title
Exercises
Links
Type
External
Title
The comparison method
Type
External
Title
The comparison method - Written problems
Type
External
Title
The substitution method
Type
External
Title
The Elimination Method (Reduction Method)
Title (level 3)
6. A polynomial Function of Degree 2 of the Shape |f(x)=ax^2|, |f(x)=(bx)^2| or |f(x)=a(bx)^2|.
Title slug (identifier)
a-polynomial-function-of-degree-2
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3 columns
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33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
A Polynomial Function of Degree 2
Internal link
Type
Internal
Title
Trace a Polynomial Function of Degree 2 using the Shape |y=ax^2| or the Shape |y=a(bx)^2|.
Anchor
trace-a-polynomial-function-yax2
Type
Internal
Title
Finding the Rule for a Degree 2 Polynomial Function in the Shape |y=ax^2|
Anchor
rule-polynomial-function-ax-2
Type
Internal
Title
The Properties of the Degree 2 Polynomial Function
Type
Internal
Title
Solve an Equation or Inequality of Degree 2
Type
Internal
Title
Solving Problems Involving the Degree 2 Polynomial Function
Type
Internal
Title
The Inverse of the Degree 2 Polynomial Function
Second column
Title
Crash course
Links
Type
Internal
Title
Problem Solving: the Degree 2 Polynomial Function
Internal link
Anchor
polynomial-degree-2
Third column
Title
Exercises
Links
Type
External
Title
The Degree 2 Polynomial Function of the Shape |f(x)=ax^2|
Type
External
Title
Finding the Rule for a Polynomial Function of Degree 2
Type
External
Title
The degree 2 polynomial function of the shape |f(x)=ax^2| - Written problems
Title (level 3)
7. The Square Root Function of the Shape |f(x) = a \sqrt{bx}|
Title slug (identifier)
square-root-function
Corps
At this stage, the square root function is introduced as the converse of the degree 2 polynomial function expressed by two square root functions.
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3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Square Root Function
Internal link
Type
Internal
Title
Tracining a Square Root Function
Type
Internal
Title
Finding the Rule of a Square Root Function (Where the Vertex Is (0,0))
Type
Internal
Title
Solving a Square Root Equation or Inequality
Type
Internal
Title
Solving Problems Involving the Square Root Function
Second column
Title
Crash course
Links
Type
Internal
Title
Solving a Problem: The Square Root Function
Internal link
Anchor
square-root-function
Third column
Title
Exercise
Links
Type
External
Title
Solving Problems Involving the Square Root Function - Secondary 4 - TS
Title (level 3)
8. The Exponential Function of the Shape |f(x) = ac^{bx}|
Title slug (identifier)
the-exponential-function-of-the-shape-f-x-ac-bx
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Exponential Function
Type
Internal
Title
Tracing an Exponential Function
Type
Internal
Title
Finding the Rule of an Exponential Functionin the Shape |y=a(c)^x|
Anchor
rule-exponential-function
Type
Internal
Title
The Properties of the Exponential Function
Type
Internal
Title
Solving an Exponential Equation or Inequality
Type
Internal
Title
Problem Solving with the Exponential Function
Type
Internal
Title
The Inverse of the Exponential Function
Second column
Title
Videos
Links
Type
Internal
Title
Graphing an Exponential Function
Anchor
video-graphing-an-exponential-function
Type
Internal
Title
Solving a Problem: the Exponential Function (Part 1)
Anchor
video-solving-a-problem-the-exponential-fonction-part-1
Type
Internal
Title
Solving a Problem: the Exponential Function (Part 2)
Anchor
video-solving-a-problem-the-exponential-fonction-part-2
Third column
Title
Exercises
Links
Type
External
Title
Finding the rule for an exponential function of the shape |f(x)=a(c)^x|
Type
External
Title
Solving problems involving an exponential function of the shape |f(x)=a(c)^x|
Type
External
Title
Solving problems involving an exponential function of the shape |f(x)=a(c)^{bx}|
Title (level 3)
9. The Logarithmic Function of the Shape |f(x) = a \log_c bx|
Title slug (identifier)
the-logarithmic-function-of-the-shape-f-x-a-log-c-bx
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Logarithmic Function
Type
Internal
Title
Tracing the Logarithmic Function
Type
Internal
Title
The Search for the Rule for a Logarithmic Function in the Shape |y = a \log_c (b(x))|
Anchor
logarithmic-function-shape-y-a
Type
Internal
Title
The Properties of Logarithmic Functions
Type
Internal
Title
Solving a Logarithmic Equation or Inequality
Type
Internal
Title
Solving Problems Involving Logarithmic Functions
Type
Internal
Title
The Inverse of the Logarithmic Function
Second column
Title
Crash course
Links
Type
Internal
Title
Solving a Problem: the Logarithmic Function
Internal link
Anchor
logarithmic
Title (level 3)
10. The Piecewise Function
Title slug (identifier)
the-piecewise-function
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Piecewise Function
Internal link
Second column
Title
Crash course
Links
Title (level 3)
11. The Step Function (Greatest Integer Function) of the Shape |f(x) = a[bx]|
Title slug (identifier)
the-step-function-greatest-integer-function-of-the-shape-f-x-a-bx
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Step Function (Greatest Integer Function)
Type
Internal
Title
Graphing a Step Function (Greatest Integer Function)
Type
Internal
Title
Finding the Rule of a Step Function (Greatest Integer Function)
Type
Internal
Title
The Properties of the Step Function (Greatest Integer Function)
Type
Internal
Title
Solving a Greatest Integer Equation
Type
Internal
Title
Solving Problems Involving the Step Function (the Greatest Integer Function)
Second column
Title
Crash course
Links
Type
Internal
Title
Solving a Problem: The Step Function (Greatest Integer Function)
Internal link
Anchor
step-function
Third column
Title
Exercises
Links
Type
External
Title
The Step Function (Greatest Integer Function)
Type
External
Title
The Step Function (Greatest Integer Function) – Secondary 4 – TS
Title (level 2)
Geometry
Title slug (identifier)
geometry
Contenu
Title (level 3)
1. Similarity and Isometry of Triangles
Title slug (identifier)
similarity-and-isometry-of-triangles
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
Minimum Conditions of Congruence of Triangles
Type
Internal
Title
The Minimum Conditions for Similar Triangles
Title
Crash course
Links
Second column
Title
Videos
Links
Type
Internal
Title
Case of Conditions of Congruence of Triangles
Anchor
video-case-conditions-of-congruence-of-triangles
Type
Internal
Title
Case of Minimum Conditions for Similar Triangles : CCC
Anchor
video-case-of-minimum-conditions-for-similar-triangles-ccc
Type
Internal
Title
Case of Minimum Conditions for Similar Triangles : CAC
Anchor
video-case-of-minimum-conditions-for-similiar-triangles-cac
Type
Internal
Title
Case of Minimum Conditions for Similar Triangles : AA
Anchor
video-case-of-minimum-conditions-for-similiar-triangles-aa
Third column
Title
Exercises
Links
Type
External
Title
The Minimum Conditions for Similar Triangles
Type
External
Title
The Minimum Conditions for Similar Triangles- Théory
Type
External
Title
The Minimum Conditions for Similar Triangles - Search for missing measurements
Type
External
Title
Proofs
Title (level 3)
2. Metric Relations and Trigonometric Ratios in Right Triangles
Title slug (identifier)
metric-relations-and-trigonometric-ratios-in-right-triangles
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheet
Links
Type
Internal
Title
Trigonometry and Metric Relations
Type
Internal
Title
Metric Relations in a Right Triangle
Type
Internal
Title
Trigonometric Ratios in Right Triangles
Type
Internal
Title
The Trigonometric Ratio of Sine
Type
Internal
Title
The Trigonometric Ratio of Cosine
Type
Internal
Title
The Trigonometric Ratio of Tangent
Second column
Title
Video
Links
Type
Internal
Title
Trigonometric Ratios (sin, cos, tan)
Anchor
video-les-rapports-trigonometriques-sin-cos-tan
Title
Crash Course
Links
Third column
Title
Exercises
Links
Type
External
Title
Trigonometric Ratios - Theory
Type
External
Title
Trigonometric Ratios
Type
External
Title
Trigonometric Ratios - Written Problems
Title (level 3)
3. The Area of Triangles Using Trigonometry
Title slug (identifier)
the-area-of-triangles-using-trigonometry
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
Finding the Area of a Triangle Using Trigonometry
Second column
Title
Exercises
Links
Type
External
Title
Areas of any Triangles and Trigonometric Ratios
Type
External
Title
Finding Missing Measurements in any Triangle
Type
External
Title
Consolidation - Trigonometry in any Triangle
Title (level 2)
Analytical geometry
Title slug (identifier)
analytical-geometry
Contenu
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
Straight Lines and Half-Planes
Type
Internal
Title
The Distance Between 2 Points
Type
Internal
Title
The Division Point and Midpoint of a Segment
Type
Internal
Title
The Slope of a Line
Internal link
Type
Internal
Title
The Relative Position of Two Lines
Type
Internal
Title
The Graph of a Line
Internal link
Type
Internal
Title
The Half-Plane and the Solution Set
Type
Internal
Title
Forms of the Equation of a Line
Type
Internal
Title
The Equation of a Line From the Coordinates or Slope
Type
Internal
Title
The Equations of Parallel or Perpendicular Lines
Second column
Title
Videos
Links
Type
Internal
Title
The Distance Between 2 Points
Anchor
video-la-distance-entre-deux-points
Type
Internal
Title
The Division Point and Midpoint of a Segment
Anchor
video-le-point-de-partage-d-un-segment
Type
Internal
Title
The Slope of a Line
Internal link
Anchor
video-la-pente-d-une-droite
Type
Internal
Title
Moving from One Equation Shape to Another
Anchor
video-le-passage-d-une-forme-d-equation-a-une-autre
Type
Internal
Title
The Equation of a Line
Anchor
video-equation-d-une-droite
Third column
Title
Exercises
Links
Type
External
Title
Lines in the Cartesian Plane - Written Problems
Type
External
Title
The Distance Between Two Points
Type
External
Title
The Division Point and Midpoint of a Segment
Type
External
Title
The Relative Position of Two Lines
Type
External
Title
Half Planes
Type
External
Title
Forms of the Equation of a Line
Type
External
Title
The Equation of a Line From the Coordinates or Slope
Type
External
Title
The Equation of Parallel or Perpendicular Lines
Title (level 2)
Probability
Title slug (identifier)
probability
Contenu
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
Independent and Dependent Events
Internal link
Anchor
dependants
Type
Internal
Title
Mutually Exclusive and Non-Mutually Exclusive Events
Internal link
Anchor
exclusifs
Type
Internal
Title
Factorial Notation
Internal link
Type
Internal
Title
The Types of Probability
Type
Internal
Title
The Odds For and the Odds Against
Type
Internal
Title
Mathematical Expectation
Second column
Title
Videos
Links
Type
Internal
Title
Types of Events
Internal link
Anchor
video-les-types-d-evenements
Type
Internal
Title
The Types of Probability
Anchor
video-les-types-de-probabilites
Type
Internal
Title
The Odds For and the Odds Against
Anchor
video-les-chances-pour-et-les-chances-contre
Type
Internal
Title
Mathematical Expectation
Anchor
video-l-esperance-mathematique
Third column
Title
Exercises
Links
Type
External
Title
Types of Events
Type
External
Title
The Odds For and the Odds Against
Type
External
Title
Mathematical Expectation
Title (level 2)
Statistics
Title slug (identifier)
statistics
Contenu
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
Standard Deviation
Internal link
Type
Internal
Title
The Double Entry Table
Internal link
Type
Internal
Title
Correlation of a Distribution
Type
Internal
Title
The Linear Correlation Coefficient
Type
Internal
Title
The Regression Line
Internal link
Second column
Title
Videos
Links
Type
Internal
Title
The Linear Correlation Coefficient
Anchor
video-le-coefficient-de-correlation
Type
Internal
Title
The Median-Median Line Method
Internal link
Anchor
video-la-droite-mediane-mediane
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