Content code
m1005
Slug (identifier)
review-guide-mathematics-secondaire-4-sn
Parent content
Grades
Secondary IV
Topic
Mathematics
Introduction
The present review guide is based on the Programme de formation de l'école québécoise as suggested by the Ministère de l'Éducation et de l'Enseignement supérieur du Québec (MEES).
If you wish to review the entire content of your Secondary IV SN mathematics 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, due to the diversity of textbooks used, teaching techniques and specific programmes.
Content
Contenu
Corps
By the end of the fourth year of secondary school, the following concepts should have been mastered in the Natural Sciences sequence of the mathematics course:
Links
Type
Anchor
Title
Algebra
Anchor
algebra
Type
Anchor
Title
Geometry
Anchor
geometry
Type
Anchor
Title
Analytic Geometry
Anchor
analytic-geometry
Type
Anchor
Title
Statistics
Anchor
statistics
Title (level 2)
Algebra
Title slug (identifier)
algebra
Contenu
Title (level 3)
1. Manipulating Algebraic Expressions
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manipulating-algebraic-expressions
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3 columns
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Internal
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Multiplying Algebraic Expressions
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Internal
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Dividing an Algebraic Expression by a Binomial
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Videos
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Type
Internal
Title
Multiplying Algebraic Expressions
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video-multiplying-algebraic-expressions-secondary-3
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Dividing an Algebraic Expression by a Binomial
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video-la-division-d-un-polynome-par-un-binome-par-crochet
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Exercises
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Type
External
Title
Multiplying Algebraic Expressions
Type
External
Title
Dividing an Algebraic Expression by a Binomial
Internal link
Title (level 3)
2. Factorisation
Title slug (identifier)
factorisation
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3 columns
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33% / 33% / 33%
First column
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Concept Sheets
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Factoring by Grouping
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Internal
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The Difference of Squares
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Internal
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The Perfect Square Trinomial
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Internal
Title
The Product-Sum Technique
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Internal
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Completing the Square
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Internal
Title
Factoring a Trinomial Using the Quadratic Formula
Second column
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Videos
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Type
Internal
Title
Explanation of Factoring by Grouping
Internal link
Anchor
video-factorisation-par-mise-en-evidence-double
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Internal
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Example 1: Factoring by Grouping
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Anchor
video-factorisation-d-un-polynome-exemple-1-de-la-mise-en-e-vidence-double
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Internal
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Example 2: Factoring by Grouping
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Anchor
video-factorisation-d-un-polynome-exemple-2-de-la-mise-en-e-vidence-double
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Internal
Title
Explanation of The Difference of Squares
Internal link
Anchor
video-factorisation-d-un-polynome-l-explication-de-la-difference-de-carres
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Internal
Title
Example 1: The Difference of Squares
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Anchor
video-factorisation-d-un-polynome-exemple-1-de-la-difference-de-carres
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Example 2: The Difference of Squares
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Anchor
video-factorisation-d-un-polynome-exemple-2-la-difference-de-carres
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Internal
Title
Explanation of The Perfect Square Trinomial
Anchor
video-factorisation-de-carres-parfaits
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Internal
Title
Example 1: The Perfect Square Trinomial
Anchor
video-factorisation-d-un-polynome-exemple-1-du-trinome-carre-parfait-mathematiques
Type
Internal
Title
Example 2 : The Perfect Square Trinomial
Anchor
video-factorisation-d-un-polynome-exemple-2-du-trinome-carre-parfait-mathematiques
Type
Internal
Title
Explanaation 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: The Product-Sum Technique
Internal link
Anchor
video-factorisaton-d-un-polynome-exemple-1-de-la-technique-produit-somme
Type
Internal
Title
Example 2 : The Product-Sum Technique
Internal link
Anchor
video-factorisaton-d-un-polynome-exemple-2-de-la-technique-produit-somme
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Internal
Title
Explanation of Completing the Square
Internal link
Anchor
video-factorisation-d-un-polynome-explication-de-la-completion-de-carre
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Internal
Title
Example 1: Completing the Square
Internal link
Anchor
video-factorisation-d-un-polynome-exemple-1-de-la-completion-de-carre
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Internal
Title
Example 2 : Completing the Square
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Anchor
video-factorisation-d-un-polynome-exemple-2-de-la-completion-de-carre
Third column
Title
Exercises
Links
Type
External
Title
Factoring a Polynomial
Title (level 3)
3. Manipulating Rational Expressions
Title slug (identifier)
manipulating-rational-expressions
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2 columns
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50% / 50%
First column
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Concept Sheets
Links
Type
Internal
Title
Adding and Subtracting Rational Expressions
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Internal
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Multiplying Rational Expressions
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Internal
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Dividing Rational Expressions
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Internal
Title
Simplifying Rational Expressions
Second column
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Videos
Links
Type
Internal
Title
Adding and Subtracting Rational Expressions
Anchor
video-l-addition-et-la-soustraction-de-fractions-rationnelles
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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
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3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Solving a Second Degree Equation or Inequality
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Internal
Title
Representing Inequalities on a Cartesian Plane
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Internal
Title
An Inequality of Second Degree with Two Variables in a Cartesian Plane
Anchor
inequality-of-second-degree
Second column
Title
Videos
Links
Type
Internal
Title
Systems of Inequalities: Graphical Representation
Anchor
video-les-systemes-d-inequations-representation-graphique
Third column
Title
Exercises
Links
Type
External
Title
Solve an equation of degree 2 with one variable
Type
External
Title
Solve an inequality of degree 2 with one variable
Type
External
Title
Solve an equation or inequality of degree 2 with one variable
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
Type
Internal
Title
Solving First- or Second-Degree System of Equations (Semi-Linear)
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 Simplification
Internal link
Anchor
video-resolution-d-un-systeme-d-equations-par-reduction
Title
Crash Courses
Links
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. The role of parameters and function properties
Title slug (identifier)
the-role-of-parameters-and-function-properties
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2 columns
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50% / 50%
First column
Title
Concept Sheets
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Type
Internal
Title
The Role of the Parameters a, b, h and k in a Function in Standard Form
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Internal
Title
The Properties of Functions
Second column
Title
Crash Courses
Links
Title (level 3)
7. The degree 2 polynomial function
Title slug (identifier)
the-degree-2-polynominal-function
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3 columns
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33% / 33% / 33%
First column
Title
Concept Sheets
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Type
Internal
Title
Forms for Writing the Degree 2 Polynomial Function
Type
Internal
Title
The Role of Parameters in a Degree 2 Polynomial Function
Type
Internal
Title
Trace a Polynomial Function of Degree 2
Type
Internal
Title
Finding the Rule for a Polynomial Function of Degree 2
Type
Internal
Title
Properties of the Degree 2 Polynomial Function
Type
Internal
Title
Solving Problems Involving the Degree 2 Polynomial Function
Type
Internal
Title
Quadratic formula
Internal link
Type
Internal
Title
The Inverse of the Degree 2 Polynomial Function
Second column
Title
Videos
Links
Type
Internal
Title
Trace a Polynomial Function of Degree 2
Anchor
video-graphique-de-la-fonction-polynomiale-de-degre-2
Type
Internal
Title
Equation for the Degree 2 Polynomial Function (Vertex)
Anchor
video-equation-de-la-fonction-polynomiale-de-degre-2-sommet
Type
Internal
Title
Equation for the Degree 2 Polynomial Function (Zeroes)
Anchor
video-equation-de-la-fonction-polynomiale-de-degre-2-zeros
Title
Crash Courses
Links
Third column
Title
Exercises
Links
Type
External
Title
Function of Degree 2: the Transition from the Standard Form to Another Shape
Type
External
Title
Degree 2 Function: the Transition from the General Form to Another Shape
Type
External
Title
Degree 2 Function: Changing from the Factored Form to Another Shape
Type
External
Title
The Role of Parameters in a Degree 2 Polynomial Function
Type
External
Title
Trace a Polynomial Function of Degree 2
Type
External
Title
Finding the Rule for a Polynomial Function of Degree 2
Type
External
Title
Properties of the Degree 2 Polynomial Function
Type
External
Title
Solve an Equation of Degree 2 with One Variable
Type
External
Title
Solve an Inequality of Degree 2 with One Variable
Type
External
Title
Solve an Equation or Inequality of Degree 2 with One Variable
Type
External
Title
Solving Problems Involving the Degree 2 Polynomial Function
Title (level 3)
8- The Step Function (Greatest Integer Function)
Title slug (identifier)
the-step-function-greatest-integer-function
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3 columns
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33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
The Step Function (Greatest Integer Function)
Type
Internal
Title
The Role of the Parameters in a 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 Problems Involving the Step Function (the Greatest Integer Function)
Second column
Title
Videos
Links
Type
Internal
Title
Graphing a Step Function (Greatest Integer Function)
Anchor
video-graphique-de-la-fonction-partie-entiere
Type
Internal
Title
Finding the Rule of a Step Function (Greatest Integer Function)
Anchor
video-equation-de-la-fonction-partie-entiere
Type
Internal
Title
Solving Problems Involving the Step Function (the Greatest Integer Function)
Anchor
video-la-resolution-de-probleme-d-une-fonction-partie-entiere
Title
Crash Courses
Links
Type
Internal
Title
Solving Problems : the Step Function (the Greatest Integer Function)
Internal link
Anchor
integer-function
Third column
Title
Exercises
Links
Type
External
Title
The Step Function (Greatest Integer Function)
Type
External
Title
The Role of the Parameters in a Step Function (Greatest Integer Function)
Type
External
Title
Graphing a Step Function (Greatest Integer Function)
Type
External
Title
Finding the Rule of a Step Function (Greatest Integer Function)
Type
External
Title
The Properties of a Step Function (Greatest Integer Function)
Type
External
Title
Solving Problems Involving the Step Function (the Greatest Integer Function)
Title (level 2)
Geometry
Title slug (identifier)
geometry
Contenu
Title (level 3)
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 Sheets
Links
Type
Internal
Title
Minimum Conditions of Congruence of Triangles
Type
Internal
Title
The Minimum Conditions for Similar Triangles
Title
Crash Courses
Links
Second column
Title
Videos
Links
Type
Internal
Title
Case of Congruence of Triangles
Anchor
video-cas-de-congruence-des-triangles
Type
Internal
Title
Case of Similarity between Triangles: CCC
Anchor
video-cas-de-similitude-des-triangles-ccc
Type
Internal
Title
Case of Similarity between Triangles: CAC
Anchor
video-cas-de-similitude-des-triangles-cac
Type
Internal
Title
Case of Similarity between Triangles: AA
Anchor
video-cas-de-similitude-des-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 - Theory
Type
External
Title
The Minimum Conditions for Similar Triangles - Searching for Missing Measurements
Type
External
Title
Proofs
Title (level 3)
2. Figures and equivalent solids
Title slug (identifier)
figures-and-equivalent-solids
Title
Concept Sheets
Links
Type
Internal
Title
Equivalent Figures
Internal link
Type
Internal
Title
Equivalent Solids
Type
Internal
Title
Solids with the Same Area
Title (level 3)
3. Metric Relations and Trigonometric Ratios in Rectangles
Title slug (identifier)
metric-relations-and-trigonometric-ratios-in-rectangles
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
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 Sines
Type
Internal
Title
The Trigonometric Ratio of Cosines
Type
Internal
Title
The Trigonometric Ratio of Tangent
Second column
Title
Videos
Links
Type
Internal
Title
Trigonometric Ratios (sin, cos, tan)
Anchor
video-les-rapports-trigonometriques-sin-cos-tan
Title
Crash Courses
Links
Third column
Title
Exercises
Links
Type
External
Title
Trigonometric ratios - Theory
Type
External
Title
Trigonometric ratios
Type
External
Title
Trigonometric ratios - Wrtting Problems
Title (level 3)
4. Trigonometric Ratios in any Triangle
Title slug (identifier)
trigonometric-ratios-in-any-triangle
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
The Law of Sines
Internal link
Type
Internal
Title
The Law of Cosines
Internal link
Type
Internal
Title
Finding the Area of a Triangle Using Trigonometry
Second column
Title
Videos
Links
Type
Internal
Title
The Law of Sines
Internal link
Anchor
video-la-loi-des-sinus
Type
Internal
Title
The Law of Sines : Obtuse Angles
Internal link
Anchor
video-la-loi-des-sinus-les-angles-obtus
Type
Internal
Title
The Law of Cosines
Internal link
Anchor
video-la-loi-des-cosinus
Third column
Title
Exercises
Links
Type
External
Title
The Law of Sines
Type
External
Title
The Law of Cosines
Type
External
Title
Areas of any Triangles and Trigonometric Ratios
Type
External
Title
Finding the Missing Measurements in any Triangle
Type
External
Title
Written Problems (Law of Sines/Cosines and Heron's Formula)
Type
External
Title
Consolidation - Law of Sines, Law of Cosines and Area Formulae
Type
External
Title
Consolidation - Trigonometry in any Triangle
Title (level 2)
Analytic Geometry
Title slug (identifier)
analytic-geometry
Contenu
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Straight Lines and Half-Planes
Type
Internal
Title
The Distance Between 2 Points
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 Slope of a Line
Internal link
Anchor
video-la-pente-d-une-droite
Type
Internal
Title
Switching 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 Slope of a Line
Type
External
Title
The Relative Position of Two Lines
Type
External
Title
Half planes
Type
External
Title
The Equation Shapes of a Line
Type
External
Title
The Equation for a Line from Coordinates or Slope
Type
External
Title
The Equation for Parallel or Perpendicular Lines
Title (level 2)
Statistics
Title slug (identifier)
statistics
Contenu
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept Sheets
Links
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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