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:
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Type
Anchor
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Algebra
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algebra
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Title
Geometry
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geometry
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Anchor
Title
Analytic Geometry
Anchor
analytic-geometry
Type
Anchor
Title
Statistics
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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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Multiplying Algebraic Expressions
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Dividing an Algebraic Expression by a Binomial
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Multiplying Algebraic Expressions
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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
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Multiplying Algebraic Expressions
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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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First column
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Factoring by Grouping
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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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The Product-Sum Technique
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Completing the Square
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Factoring a Trinomial Using the Quadratic Formula
Second column
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Videos
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Choosing Between Factoring Methods
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video-choosing-between-factoring-methods
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Explanation of Factoring by Grouping
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video-factorisation-par-mise-en-evidence-double
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Example 1: Factoring by Grouping
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video-factorisation-d-un-polynome-exemple-1-de-la-mise-en-e-vidence-double
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Example 2: Factoring by Grouping
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video-factorisation-d-un-polynome-exemple-2-de-la-mise-en-e-vidence-double
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Internal
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Explanation of The Difference of Squares
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video-factorisation-d-un-polynome-l-explication-de-la-difference-de-carres
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Example 1: The Difference of Squares
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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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video-factorisation-d-un-polynome-exemple-2-la-difference-de-carres
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Explanation of The Perfect Square Trinomial
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video-factorisation-de-carres-parfaits
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Example 1: The Perfect Square Trinomial
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video-factorisation-d-un-polynome-exemple-1-du-trinome-carre-parfait-mathematiques
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Example 2 : The Perfect Square Trinomial
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video-factorisation-d-un-polynome-exemple-2-du-trinome-carre-parfait-mathematiques
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Internal
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Explanation of The Product-Sum Technique
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video-factorisaton-d-un-polyno-me-explication-de-la-technique-produit-somme
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Example 1: The Product-Sum Technique
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video-factorisaton-d-un-polynome-exemple-1-de-la-technique-produit-somme
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Example 2 : The Product-Sum Technique
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video-factorisaton-d-un-polynome-exemple-2-de-la-technique-produit-somme
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Explanation of Completing the Square
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video-factorisation-d-un-polynome-explication-de-la-completion-de-carre
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Example 1: Completing the Square
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video-factorisation-d-un-polynome-exemple-1-de-la-completion-de-carre
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Example 2 : Completing the Square
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video-factorisation-d-un-polynome-exemple-2-de-la-completion-de-carre
Third column
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Exercise
Links
Type
External
Title
Factoring Polynomials
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
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Internal
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Adding and Subtracting Rational Expressions
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Multiplying Rational Expressions
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Dividing Rational Expressions
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Internal
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Simplifying Rational Expressions
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Videos
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Internal
Title
Adding and Subtracting Rational Expressions
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video-l-addition-et-la-soustraction-de-fractions-rationnelles
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Multiplying Rational Expressions
Anchor
video-la-multiplication-de-fractions-rationnelles
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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
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33% / 33% / 33%
First column
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Concept Sheets
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Internal
Title
Representing Inequalities on a Cartesian Plane
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Internal
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Solving a Second Degree Equation or Inequality
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Internal
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A Second Degree Inequality With Two Variables in a Cartesian Plane
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second-degree-inequality-with-two-variables
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Videos
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Internal
Title
Systems of Inequalities: Graphical Representation
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video-les-systemes-d-inequations-representation-graphique
Third column
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Exercises
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Type
External
Title
Solve an equation of degree 2 with one variable
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External
Title
Solve an inequality of degree 2 with one variable
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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
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3 columns
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First column
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Concept Sheets
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Internal
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The Comparison Method
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Internal
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The Substitution Method
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Internal
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The Elimination Method (Reduction Method)
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Internal
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Solving First- or Second-Degree System of Equations (Semi-Linear)
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Videos
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Internal
Title
Solving a System of Equations by Comparison
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video-la-resolution-d-un-systeme-d-equations-par-comparaison
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Solving a System of Equations by Substitution
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Anchor
video-resolution-d-un-systeme-d-equations-par-substitution
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Internal
Title
Solving a System of Equations by Simplification
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Anchor
video-resolution-d-un-systeme-d-equations-par-reduction
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Crash Course
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Type
Internal
Title
Systems of equations
Third column
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Exercises
Links
Type
External
Title
The Comparison Method
Type
External
Title
The Comparison Method - Word 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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Concept Sheets
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The Role of the Parameters a, b, h and k in a Function in Standard Form
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The Properties of Functions
Second column
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Crash Course
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Title
Analyzing Functions
Title (level 3)
7. The Quadratic Function
Title slug (identifier)
quadratic
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3 columns
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The Quadratic Function
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Forms of the Equation of a Quadratic Function
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Internal
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The Role of Parameters in a Quadratic Function
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Internal
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Graphing a Quadratic Function
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Internal
Title
Finding the Rule of a Quadratic Function
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Internal
Title
The Properties of Quadratic Functions
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Internal
Title
Solving Problems Involving Quadratic Functions
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Internal
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The Quadratic Formula
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The Inverse of Quadratic Functions
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Videos
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Internal
Title
Tracer une fonction polynomiale de degré 2 à partir de la forme générale
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video-tracer-une-fonction-polynomiale-de-degre-2-a-partir-de-la-forme-generale
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Internal
Title
Trace a Polynomial Function of Degree 2
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video-graphique-de-la-fonction-polynomiale-de-degre-2
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Internal
Title
Tracer une fonction polynomiale de degré 2 à partir de la forme factorisée
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video-tracer-une-fonction-polynomiale-de-degre-2-a-partir-de-la-forme-factorisee
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Internal
Title
Finding the Rule of a Quadratic (Second Degree) Function From the Vertex and a Point
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video-finding-the-rule-of-a-quadratic-second-degree-function-from-the-vertex-and-a-point
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Internal
Title
Finding the Rule of a Quadratic (Second Degree Polynomial) Function From the Zeros and a Point
Anchor
video-finding-the-rule-of-a-quadratic-second-degree-polynomial-function-from-the-zeros-and-a-point
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Crash Course
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Type
Internal
Title
Solving Problems With Functions: The Quadratic (2nd Degree) Function
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quadratic
Third column
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Exercises
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Type
External
Title
Quadratic Functions: Switching From Standard Form to Another Form
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External
Title
Quadratic Functions: Switching From General Form to Another Form
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External
Title
Quadratic (2nd Degree) Function: Switching from Factored Form to Another Form
Type
External
Title
The Role of the Parameters in a Quadratic (Second Degree Polynomial) Function
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External
Title
Graphing Quadratic Functions
Type
External
Title
Finding the Rule of a Quadratic Function
Type
External
Title
The Properties of a Quadratic Function
Type
External
Title
Solving a Second Degree (Quadratic) Equation With One Variable
Type
External
Title
Solving a Second Degree (Quadratic) Inequality With One Variable
Type
External
Title
Solving a Second Degree (Quadratic) Equation or Inequality with One Variable
Type
External
Title
Solving Problems Involving Quadratic Functions
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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Concept Sheets
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Title
The Step Function (Greatest Integer Function)
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The Role of the Parameters in a Step Function (Greatest Integer Function)
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Internal
Title
Graphing a Step Function (Greatest Integer Function)
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Internal
Title
Finding the Rule of a Step Function (Greatest Integer Function)
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Internal
Title
The Properties of the Step Function (Greatest Integer Function)
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Internal
Title
Solving Problems Involving the Step Function (the Greatest Integer Function)
Second column
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Videos
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Type
Internal
Title
Graphing a Step Function (Greatest Integer) - Examples 1 and 2
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video-graphing-a-step-function-greatest-integer-example-1
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Internal
Title
Finding the Rule of a Step Function (Greatest Integer)
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video-finding-the-rule-of-a-step-function-greatest-integer
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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 Course
Links
Type
Internal
Title
Solving Problems: The Step Function (Greatest Integer Function)
Anchor
step
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Title
Résolution graphique de fonctions en escalier, périodiques et définies par parties
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Third column
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Exercises
Links
Type
External
Title
Step Functions (Greatest Integer)
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
Properties of Step Functions (Greatest Integer)
Type
External
Title
Solving Problems Using Step Functions (Greatest Integer)
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
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3 columns
Format
33% / 33% / 33%
First column
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Concept Sheets
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Title
The Minimum Conditions of Congruence of Triangles
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The Minimum Conditions for Similar Triangles
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Videos
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Title
Case of Congruence of Triangles
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video-cas-de-congruence-des-triangles
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Case of Similarity between Triangles: CCC
Anchor
video-cas-de-similitude-des-triangles-ccc
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Case of Similarity between Triangles: CAC
Anchor
video-cas-de-similitude-des-triangles-cac
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Case of Similarity between Triangles: AA
Anchor
video-cas-de-similitude-des-triangles-aa
Title
Crash Course
Links
Third column
Title
Exercises
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Type
External
Title
The Minimum Conditions of Congruence of Triangles
Type
External
Title
The Minimum Conditions for Similar Triangles - Theory
Type
External
Title
The Minimum Conditions for Similar Triangles - Finding missing measurements
Type
External
Title
Proofs
Title (level 3)
2. Figures and Solids
Title slug (identifier)
figures-and-solids
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Concept Sheets
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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 Right Triangles
Title slug (identifier)
metric-relations-and-trigonometric-ratios
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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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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 Cosine
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Internal
Title
The Trigonometric Ratio of Tangent
Second column
Title
Videos
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Type
Internal
Title
Trigonometric Ratios (sin, cos, tan)
Anchor
video-les-rapports-trigonometriques-sin-cos-tan
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Crash Course
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Type
Internal
Title
Trigonometry
Third column
Title
Exercises
Links
Type
External
Title
Metric Relations in a Right Triangle - Theory
Type
External
Title
Metric Relations in a Right Triangle
Type
External
Title
Trigonometric Ratios - Theory
Type
External
Title
Trigonometric Ratios
Type
External
Title
Trigonometric Ratios - Word Problems
Title (level 3)
4. Trigonometric Ratios in any Triangle
Title slug (identifier)
trigonometric-ratios-in-any-triangle
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3 columns
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First column
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Concept Sheets
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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
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Internal
Title
The Law of Sines : Obtuse Angles
Internal link
Anchor
video-la-loi-des-sinus-les-angles-obtus
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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 Sine
Type
External
Title
The Law of Cosines
Type
External
Title
The Area of Any Triangles and the Trigonometric Ratios
Type
External
Title
Missing Measurements in a Triangle
Type
External
Title
The Law of Sines, Law of Cosines and Area Formulas - Word Problems
Type
External
Title
The Law of Sines, Law of Cosines and Area Formulas - Consolidation
Type
External
Title
Trigonometry in Non-Right Triangles - Consolidation
Title (level 2)
Analytic Geometry
Title slug (identifier)
analytic-geometry
Contenu
Columns number
3 columns
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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 - Word Problems
Type
External
Title
The Distance Between Two Points
Type
External
Title
The Slope of a Straight Line
Type
External
Title
The Relative Position of Two Lines
Type
External
Title
Half-planes
Type
External
Title
Forms of Equations of a Straight Line
Type
External
Title
The Equation of a Line from Coordinates or Slope
Type
External
Title
The Equations of Parallel and 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
Type
Internal
Title
The Median-Median Line
Internal link
Second column
Title
Videos
Links
Type
Internal
Title
The Linear Correlation Coefficient
Anchor
video-le-coefficient-de-correlation
Type
Internal
Title
Le calcul du coefficient de corrélation linéaire
Anchor
video-le-calcul-du-coefficient-de-correlation-lineaire
Type
Internal
Title
The Median-Median Line Method
Internal link
Anchor
video-la-droite-mediane-mediane
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