Content code
m1008
Slug (identifier)
review-guide-mathematics-secondaire-5-sn
Parent content
Grades
Secondary V
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 5 SN maths 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
At the end of secondary 5, here are the concepts that should be mastered in the mathematics course, Natural Sciences sequence:
Links
Type
Anchor
Title
Arithmetic
Anchor
arithmetic
Type
Anchor
Title
Algebra
Anchor
algebra
Type
Anchor
Title
Trigonometry
Anchor
trigonometry
Type
Anchor
Title
Geometry and analytical geometry
Anchor
geometry-and-analytical-geometry
Title (level 2)
Arithmetic
Title slug (identifier)
arithmetic
Contenu
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Laws of Exponents
Internal link
Type
Internal
Title
Radical Operations
Internal link
Type
Internal
Title
Properties of Radicals (Fractional Exponent)
Internal link
Anchor
properties-radicals
Type
Internal
Title
The Laws of Logarithms
Internal link
Second column
Title
Crash Courses
Links
Type
Internal
Title
The Laws of Exponents
Type
Internal
Title
The Laws of Logarithms and Exponents
Third column
Title
Exercises
Links
Type
External
Title
The Laws of Exponents
Type
External
Title
Logarithms - Switching From One Form to Another
Type
External
Title
Logarithms
Title (level 2)
Algebra
Title slug (identifier)
algebra
Contenu
Title (level 3)
1. Solving equations or inequalities
Title slug (identifier)
solving-equations-or-inequalities
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
Solving an Exponential Equation or Inequality
Type
Internal
Title
Solving a Logarithmic Equation or Inequality
Type
Internal
Title
Solving a Square Root Equation or Inequality
Type
Internal
Title
Solving a Rational Equation or Inequality
Type
Internal
Title
Solving an Equation or Inequality Containing an Absolute Value
Type
Internal
Title
Solving a Trigonometric Equation or Inequality
Type
Internal
Title
Solving a Sine Equation or Inequality
Type
Internal
Title
Solving a Cosine Equation or Inequality
Type
Internal
Title
Solving a Tangent Equation or Inequality
Second column
Title
Video
Links
Type
Internal
Title
Solving a One-variable Absolute Value Equation
Anchor
video-resoudre-une-equation-valeur-absolue-a-une-variable
Third column
Title
Exercises
Links
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
Type
External
Title
Solving an Exponential Equation With One Variable
Type
External
Title
Solve an Exponential Inequality With One Variable
Type
External
Title
Solving an Exponential Equation or Inequality With One Variable
Type
Internal
Title
Solving a Trigonometric Equation
Anchor
exercise-solving-trigonometric-equation
Type
Internal
Title
Solving a Sine Equation
Anchor
exercise-equation
Type
Internal
Title
Solving a Cosine Equation
Anchor
exercise-equation
Type
Internal
Title
Solving a Tangent Equation
Anchor
exercice-solving-a-tangent-equation
Title (level 3)
2. Solving a System of Equations of the Second Degree in relation to Conics
Title slug (identifier)
solving-a-system-of-equations-of-the-second-degree-in-relation-to-conics
Title
Concept sheets
Links
Type
Internal
Title
Solving First- or Second-Degree System of Equations (Semi-Linear)
Type
Internal
Title
Points of Intersection Between a Line and a Conic
Type
Internal
Title
Points of Intersection Between a Parabola and a Conic
Title (level 3)
3. Optimization using linear programming
Title slug (identifier)
optimization-using-linear-programming
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
Representing Inequalities on a Cartesian Plane
Type
Internal
Title
Systems of Inequalities and the Polygon of Constraints
Type
Internal
Title
Solving an Optimization Problem
Internal link
Second column
Title
Video
Links
Type
Internal
Title
Representing Inequalities on a Cartesian Plane
Anchor
video-les-systemes-d-inequations-representation-graphique
Third column
Title
Crash course
Links
Type
Internal
Title
Optimization
Title (level 3)
4. Operations on functions
Title slug (identifier)
operation-on-functions
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
The Sum of Functions
Internal link
Type
Internal
Title
The Difference of Functions
Type
Internal
Title
The Product of Functions
Type
Internal
Title
The Quotient of Functions
Type
Internal
Title
The Composition of Functions
Second column
Title
Crash course
Links
Type
Internal
Title
Operations on functions
Title (level 3)
5. The role of parameters in a function
Title slug (identifier)
the-role-of-parameters-in-a-function
Title
Concept sheet
Links
Type
Internal
Title
The Role of Parameters |a|, |b|, |h|, and |k| of a Function in Standard Form
Title (level 3)
6. The square root function
Title slug (identifier)
the-square-root-function
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Square Root Function
Internal link
Type
Internal
Title
The Role of the Parameters in the Square Root Function
Type
Internal
Title
Graphing a Square Root Function
Type
Internal
Title
Finding the Rule of a Square Root Function
Type
Internal
Title
The Properties of the Square Root Function
Type
Internal
Title
Solving Problems Involving the Square Root Function
Type
Internal
Title
The Inverse of the Square Root Function
Second column
Title
Videos
Links
Type
Internal
Title
Graphique de la fonction racine carrée
Anchor
video-graphique-de-la-fonction-racine-carree
Type
Internal
Title
Finding the Rule of a Square Root Function When the Vertex is at the Origin
Anchor
video-finding-the-rule-of-a-square-root-function-when-the-vertex-is-at-the-origin
Type
Internal
Title
Finding the Rule of a Square Root Function When the Vertex Is not at the Origin
Anchor
video-finding-the-rule-of-a-square-root-function-when-the-vertex-is-not-at-the-origin
Type
Internal
Title
Finding the Rule of a Square Root Function With Only One of the Vertex Coordinates
Anchor
video-finding-the-rule-of-a-square-root-function-with-only-one-of-the-vertex-coordinates
Third column
Title
Crash course
Links
Type
Internal
Title
Solving Problems With Functions: The Square Root Function
Anchor
square-root
Title (level 3)
7. The rational function
Title slug (identifier)
the-rational-function
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Rational Function
Internal link
Type
Internal
Title
The Role of the Parameters in a Rational Function in Standard Form
Type
Internal
Title
Switching from the Standard to the General Form of a Rational Function
Type
Internal
Title
Graphing a Rational Function
Type
Internal
Title
Finding the Rule of a Rational Function
Type
Internal
Title
Properties of the Rational Function
Type
Internal
Title
Solving Problems Involving Rational Functions
Type
Internal
Title
The Inverse of the Rational Function
Second column
Title
Videos
Links
Type
Internal
Title
Graphing a Rational Function
Anchor
video-graphing-a-rational-function
Type
Internal
Title
Finding the Rule of a Rational Function
Anchor
video-finding-the-rule-of-a-rational-function
Type
Internal
Title
Solving Problems Involving Rational Functions
Anchor
video-resolution-de-probleme-la-fonction-rationnelle
Third column
Title
Crash course
Links
Type
Internal
Title
Solving Problems With Functions: The Rational Function
Anchor
rational
Title (level 3)
8. The exponential function
Title slug (identifier)
the-exponential-function
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Exponential Function
Type
Internal
Title
The Role of the Parameters in an Exponential Function
Type
Internal
Title
Graphing an Exponential Function
Type
Internal
Title
Finding the Rule of an Exponential Function
Type
Internal
Title
Properties of the Exponential Function
Type
Internal
Title
Problem Solving with the Exponential Function
Type
Internal
Title
The Inverse of the Exponential Function
Second column
Title
Video
Links
Type
Internal
Title
Graphing an Exponential Function
Anchor
video-graphique-de-la-fonction-exponentielle
Type
Internal
Title
The Rule of an Exponential Function
Anchor
video-equation-de-la-fonction-exponentielle
Type
Internal
Title
Problem Solving with the Exponential Function (Part 1)
Anchor
video-resolution-de-probleme-la-fonction-exponentielle-partie-1
Type
Internal
Title
Finding the Rule of an Exponential Function From 3 Consecutive Points
Anchor
video-finding-the-rule-of-an-exponential-function-from-3-consecutive-points
Title
Crash Course
Links
Type
Internal
Title
Solving Problems With Functions: The Exponential Function
Anchor
exponential
Third column
Title
Exercises
Links
Type
External
Title
The Role of the Parameters in an Exponential Function
Type
External
Title
Graphing an Exponential Function
Type
External
Title
Finding the Rule of an Exponential Function
Type
External
Title
Problem Solving With the Exponential Function of the Form|f(x)=a(c)^x|
Type
External
Title
Problem Solving With the Exponential Function of the Form|f(x)=a(c)^{bx}|
Type
External
Title
The Inverse of the Exponential Function
Title (level 3)
9. The logarithmic function
Title slug (identifier)
the-logarithmic-function
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Logarithmic Function
Type
Internal
Title
The Role of the Parameters in a Logarithmic Function
Type
Internal
Title
Graphing the Logarithmic Functio
Type
Internal
Title
Finding the Equation of Logarithmic Functions
Type
Internal
Title
Properties of Logarithmic Functions
Type
Internal
Title
Solving Problems Involving Logarithmic Functions
Type
Internal
Title
The Inverse of the Logarithmic Functio
Second column
Title
Video
Links
Type
Internal
Title
How to Graph a Logarithmic Function From a Table of Values
Anchor
video-how-to-graph-a-logarithmic-function-from-a-table-of-values
Type
Internal
Title
The Equation of Logarithmic Functions
Anchor
video-equation-de-la-fonction-logarithmique
Type
Internal
Title
Trouver la règle d'une fonction logarithmique avec le zéro et 1 point
Anchor
video-trouver-la-regle-d-une-fonction-logarithmique-avec-le-zero-et-1-point
Third column
Title
Crash course
Links
Type
Internal
Title
Solving Problems With Functions: The Logarithmic Function
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 sheet
Links
Type
Internal
Title
The Piecewise Function
Internal link
Second column
Title
Crash Course
Links
Type
Internal
Title
Solving Step, Periodic and Piecewise Functions Graphically
Title (level 3)
11. The Absolute Value Function
Title slug (identifier)
the-absolute-value-function
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheets
Links
Type
Internal
Title
The Absolute Value Function
Type
Internal
Title
The Role of the Parameters in an Absolute Value Function
Type
Internal
Title
Graphing an Absolute Value Function
Type
Internal
Title
Finding the Rule of an Absolute Value Function
Type
Internal
Title
Properties of the Absolute Value Function
Type
Internal
Title
Solving Problems Involving the Absolute Value Function
Type
Internal
Title
The Inverse of an Absolute Value Function
Second column
Title
Videos
Links
Type
Internal
Title
Graphing an Absolute Value Function
Anchor
video-graphique-de-la-fonction-valeur-absolue
Type
Internal
Title
Finding the Rule of an Absolute Value Function From the Vertex and a Point
Anchor
video-finding-the-rule-of-an-absolute-value-function-from-the-vertex-and-a-point
Type
Internal
Title
Trouver la règle d'une fonction valeur absolue avec 2 points de même ordonnée
Anchor
video-trouver-la-regle-d-une-fonction-valeur-absolue-avec-2-points-de-meme-ordonnee
Type
Internal
Title
Finding the Rule of an Absolute Value Function with Any 3 Points
Anchor
video-finding-the-rule-of-an-absolute-value-function-with-any-3-points
Third column
Title
Crash course
Links
Type
Internal
Title
Solving Problems With Functions: The Absolute Value Function
Anchor
absolute-value
Title (level 3)
12. Periodic functions
Title slug (identifier)
periodic-functions
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
Periodic Functions
Internal link
Second column
Title
Crash Course
Links
Type
Internal
Title
Solving Step, Periodic and Piecewise Functions Graphically
Title (level 2)
Trigonometry
Title slug (identifier)
trigonometry
Contenu
Title (level 3)
1. The Unit Circle
Title slug (identifier)
the-unit-circle
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
Trigonometric angles (radians)
Second column
Title
Videos
Links
Type
Internal
Title
Introduction to the Unit Circle
Internal link
Anchor
video-introduction-to-the-unit-circle
Type
Internal
Title
Link between Degrees and Radians
Internal link
Anchor
video-link-between-degrees-and-radians
Type
Internal
Title
Remarkable Points on the Unit Circle
Internal link
Anchor
video-remarkable-points-on-the-unit-circle
Third column
Title
Exercises
Links
Type
External
Title
Trigonometric angles (radians)
Type
External
Title
The Unit Circle
Title (level 3)
2. The sine function
Title slug (identifier)
the-sine-function
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
Trigonometric Functions
Type
Internal
Title
The Sine Function
Internal link
Type
Internal
Title
The Role of the Parameters in a Sine Function
Type
Internal
Title
Graphing a Sine Function
Type
Internal
Title
Finding the Rule of a Sine Function
Type
Internal
Title
The Properties of the Sine Function (Cosine)
Type
Internal
Title
Solving Problems Involving the Sine Function
Type
Internal
Title
The Inverse of the Sine Function (Arcsin)
Second column
Title
Videos
Links
Type
Internal
Title
Graphing a Sine Function
Anchor
video-graphique-de-la-fonction-sinusoidale
Type
Internal
Title
Rule of a Sine Function
Anchor
video-equation-de-la-fonction-sinusoidale
Type
Internal
Title
Solving Problem: Sine Function (Part 1)
Anchor
video-resolution-de-probleme-la-fonction-sinusoidale-partie-1
Title (level 3)
3. The cosine function
Title slug (identifier)
the-cosine-function
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
The Cosine Function
Internal link
Type
Internal
Title
The Role of Parameters in a Cosine Function
Type
Internal
Title
Graphing a Cosine Function
Type
Internal
Title
Finding the Rule of a Cosine Function
Type
Internal
Title
The Properties of the Cosine Function (Sine)
Type
Internal
Title
Solving Problems Involving the Cosine Function
Type
Internal
Title
The Inverse of the Cosine Function (Arccos)
Second column
Title
Video
Links
Type
Internal
Title
Solving Problems Involving the Cosine Function
Anchor
video-la-resolution-de-probleme-d-une-fonction-cosinus
Title (level 3)
4. The tangent function
Title slug (identifier)
the-tangent-function
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
The Tangent Function
Internal link
Type
Internal
Title
The Role of Parameters in a Tangent Function
Type
Internal
Title
Graphing a Tangent Function
Type
Internal
Title
Finding the Equation of a Tangent Function
Type
Internal
Title
The Properties of the Tangent Function
Type
Internal
Title
Solving Problems Involving the Tangent Function
Type
Internal
Title
La réciproque de la fonction tangente (arctan)
Second column
Title
Video
Links
Type
Internal
Title
Problem Solving: the Tangent Function
Anchor
video-la-resolution-de-probleme-de-la-fonction-tangente
Title (level 3)
5. Proofs of Trigonometric Identities
Title slug (identifier)
proofs-of-trigonometric-identities
Columns number
2 columns
Format
50% / 50%
First column
Title
Concept sheet
Links
Type
Internal
Title
Trigonometric Identities
Type
Internal
Title
Proofs of Trigonometric Identities
Second column
Title
Videos
Links
Type
Internal
Title
Value of a Trigonometric Expression
Anchor
video-valeur-d-une-expression-trigonometrique
Type
Internal
Title
Proofs of Trigonometric Identities
Anchor
video-demonstrations-d-identites-trigonometriques
Title (level 2)
Geometry and analytical geometry
Title slug (identifier)
geometry-and-analytical-geometry
Contenu
Title (level 3)
1. Vectors
Title slug (identifier)
vectors
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
Vector Components
Internal link
Type
Internal
Title
Comparing Two Vectors
Internal link
Type
Internal
Title
The Properties of Vector Operations
Type
Internal
Title
Adding and Subtracting Vectors
Type
Internal
Title
Multiplying Vectors by a Scalar and the Scalar Product (Dot Product)
Type
Internal
Title
The Orthogonal Projection of a Vector
Type
Internal
Title
Linear Combination of Vectors
Type
Internal
Title
Proving Vector Statements
Type
Internal
Title
Solving Problems Involving Vectors
Second column
Title
Crash course
Links
Type
Internal
Title
Vectors
Internal link
Third column
Title
Exercise
Links
Type
External
Title
Vectors-Secondary 5- SN
Title (level 3)
2. Lines and half-planes
Title slug (identifier)
lines-and-haft-planes
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
The Division Point and Midpoint of a Segment
Second column
Title
Video
Links
Type
Internal
Title
The Division Point and Midpoint of a Segment
Anchor
video-le-point-de-partage-d-un-segment
Third column
Title
Exercise
Links
Type
External
Title
The Division Point and Midpoint of a Segment
Title (level 3)
3. Geometric locations
Title slug (identifier)
geometric-locations
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept sheet
Links
Type
Internal
Title
Hyperbola (Conic)
Internal link
Type
Internal
Title
Points of Intersection Between a Line and a Conic
Type
Internal
Title
Points of Intersection Between a Parabola and a Conic
Second column
Title
Video
Links
Type
Internal
Title
Properties of Ellipse (Conic)
Internal link
Anchor
video-les-proprietes-de-l-ellipse
Third column
Title
Exercise
Links
Type
External
Title
Conics - Secondary 5 - SN
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