Content code
m1001
Slug (identifier)
review-guide-mathematics-secondary-1-2
Parent content
Grades
Secondary I
Secondary II
Topic
Mathematics
Introduction
The present revision repertoire 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 want to review the entire content of your first and second year maths courses, 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 particular programmes.
Content
Contenu
Content
Corps
This revision guide has been created for the first cycle of secondary school. It therefore regroups the concepts studied in Secondary 1 AND Secondary 2. To revise the concepts for a specific year, you'll need to base your revision on the teaching you've received and the textbooks you use in class, so that you can target the concepts you need to master.
Corps
At the end of the first cycle of secondary school, here are the concepts that should be mastered as part of the mathematics course:
Links
Type
Anchor
Title
Arithmetic
Anchor
arithmetic
Type
Anchor
Title
Algebra
Anchor
algebra
Type
Anchor
Title
Probabilities
Anchor
probabilities
Type
Anchor
Title
Statistics
Anchor
statistics
Type
Anchor
Title
Geometry
Anchor
geometry
Title (level 2)
Arithmetic
Title slug (identifier)
arithmetic
Contenu
Title (level 3)
1. Real Numbers
Title slug (identifier)
real-numbers
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title (level 3)
Concept Sheets
Links
Type
Internal
Title
Fractional Notation (Fractions)
Internal link
Type
Internal
Title
Decimal Notation
Internal link
Type
Internal
Title
Approximation and Rounding a Number
Type
Internal
Title
Square and Cubic Numbers
Internal link
Anchor
square-and-cubic-numbers
Type
Internal
Title
Square and Cube Roots
Internal link
Anchor
square-and-cube-roots
Type
Internal
Title
Exponential Notation
Internal link
Type
Internal
Title
Ordering Fractions and Mixed Numbers
Type
Internal
Title
Ordering Decimal Numbers
Type
Internal
Title
Ordering Rational Numbers
Second column
Title (level 3)
Videos
Links
Type
Internal
Title
The Radicals
Internal link
Anchor
video-les-radicaux
Type
Internal
Title
Exponential Notation
Internal link
Anchor
video-l-exponentiation
Third column
Title (level 3)
Exercises
Links
Type
External
Title
Rounding Natural Numbers
Type
External
Title
Rounding Negative Integers
Type
External
Title
Rounding Numbers
Title (level 3)
2. Operations on Real Numbers
Title slug (identifier)
operations-on-real-numbers
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Decomposing Numbers
Internal link
Type
Internal
Title
Equivalent Fractions and Simplifying Fractions
Type
Internal
Title
The Least Common Multiple (LCM)
Type
Internal
Title
The Greatest Common Factor (GCF)
Type
Internal
Title
Divisibility Rules
Internal link
Type
Internal
Title
Approximating the Answer of an Operation
Type
Internal
Title
Properties of Operations
Type
Internal
Title
The Order of Operations
Internal link
Type
Internal
Title
Subtracting Decimals
Internal link
Type
Internal
Title
Multiplying Decimal Numbers
Type
Internal
Title
Dividing Decimal Numbers
Type
Internal
Title
Adding Fractions
Internal link
Type
Internal
Title
Subtracting Fractions
Internal link
Type
Internal
Title
Multiplying Fractions
Internal link
Type
Internal
Title
Dividing Fractions
Internal link
Second column
Title
Videos
Links
Type
Internal
Title
The Least Common Multiple (LCM)
Anchor
video-le-ppcm-les-methodes-des-multiples-et-de-l-arbre-de-facteurs
Type
Internal
Title
The Least Common Multiple (LCM)
Anchor
video-le-ppcm-la-methode-du-tableau
Type
Internal
Title
The Greatest Common Factor (GCF)
Anchor
video-le-pgcd-les-methodes-des-diviseurs-et-des-diviseurs-premiers
Type
Internal
Title
The Greatest Common Factor (GCF)
Anchor
video-le-pgcd-la-methode-du-tableau
Type
Internal
Title
The Order of Operations (Part 1)
Internal link
Anchor
video-la-priorite-des-operations-partie-1
Type
Internal
Title
The Order of Operations (Part 2)
Internal link
Anchor
video-la-priorite-des-operations-partie-2
Type
Internal
Title
Subtracting Decimals
Internal link
Anchor
video-la-soustraction-des-nombres-decimaux
Type
Internal
Title
Adding Fractions
Internal link
Anchor
video-l-addition-de-fractions
Type
Internal
Title
Subtracting Fractions
Internal link
Anchor
video-la-soustraction-de-fractions
Type
Internal
Title
Multiplying Fractions
Internal link
Anchor
video-la-multiplication-de-fractions
Type
Internal
Title
Dividing Fractions
Internal link
Anchor
video-la-division-des-fractions
Title
CrashCourse
Links
Third column
Title
Exercises
Links
Type
External
Title
The Least Common Multiple (LCMM)
Type
External
Title
The Greatest Common Divisor (GCD)
Type
External
Title
The Divisibility Rules
External link
Type
External
Title
Priority of Operations (with Natural Numbers)
Type
External
Title
The Priority of Operations (with Relative Integers)
Type
External
Title
Operations on Fractions
External link
Title
Games
Links
Title (level 3)
3. The Transition from One Form of Writing to Another
Title slug (identifier)
the-transition-from-one-form-of-writing-to-another
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Expressing a Fraction as a Mixed Number and Vice Versa
Type
Internal
Title
Expressing a Fraction as a Percentage and Vice Versa
Type
Internal
Title
Expressing a Fraction as a Decimal Number and Vice Versa
Type
Internal
Title
Expressing a Mixed Number as a Decimal Number and Vice Versa
Type
Internal
Title
Expressing a Decimal Number as a Percentage and Vice Versa
Type
Internal
Title
Expressing a Fraction as a Periodic Number and Vice Versa
Second column
Title
Videos
Links
Type
Internal
Title
Expressing a Fraction as a Percentage and Vice Versa
Anchor
video-transformer-un-pourcentage-en-fraction-et-l-inverse
Type
Internal
Title
Expressing a Fraction as a Decimal Number and Vice Versa
Anchor
video-transformer-une-fraction-en-un-nombre-decimal-et-l-inverse
Type
Internal
Title
Expressing a Decimal Number as a Percentage and Vice Versa
Anchor
video-transformer-un-pourcentage-en-nombre-decimal-et-l-inverse
Type
Internal
Title
Expressing a Fraction as a Periodic Number and Vice Versa
Anchor
video-transformer-un-nombre-decimal-periodique-en-une-fraction-et-l-inverse
Third column
Title
Exercises
Links
Type
External
Title
From Fractions to Fractional Numbers and Vice Versa
Type
External
Title
From Fraction to Percentage and Vice Versa
Type
External
Title
Fractions and Decimal Numbers
External link
Title (level 3)
4. Proportionality Situations
Title slug (identifier)
proportionality-situations
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Calculating the Percentage and One Hundred Percent of a Number
Type
Internal
Title
Calculating Taxes and Discounts
Type
Internal
Title
Translating a Situation Into a Ratio or Rate
Type
Internal
Title
Proportional Situations
Type
Internal
Title
Recognizing a Directly or Inversely Proportional Situation
Type
Internal
Title
Solving Directly or Inversely Proportional Situations
Second column
Title
Videos
Links
Type
Internal
Title
Calculating Taxes and Discounts
Anchor
video-taxe-et-rabais
Type
Internal
Title
Proportions
Internal link
Anchor
video-les-proportions
Type
Internal
Title
Recognizing a Directly or Inversely Proportional Situation
Anchor
video-reconnaitre-une-situation-directe-ou-inverse
Title
CrashCourse
Links
Type
Internal
Title
Proportional Situations, Inversely Proportional Situations and Arithmetic Sequences
Internal link
Third column
Title
Exercises
Links
Type
External
Title
Calculating Taxes and Discounts
Type
External
Title
Ratios, Rates and Proportions - Revision
Title (level 2)
Algebra
Title slug (identifier)
algebra
Contenu
Title (level 3)
1. Algebraic Expressions
Title slug (identifier)
algebraic-expressions
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Algebra - Algebraic Expressions
Type
Internal
Title
From Monomials to Polynomials
Type
Internal
Title
Adding Algebraic Expressions
Type
Internal
Title
Subtracting Algebraic Expressions
Type
Internal
Title
Multiplying Algebraic Expressions
Type
Internal
Title
Dividing an Algebraic Expression by a Monomial
Anchor
division-monome-terme-constant
Second column
Title
Videos
Links
Type
Internal
Title
Algebraic Expressions: Vocabulary
Anchor
video-les-expressions-algebriques-le-vocabulaire
Type
Internal
Title
Algebraic Expressions: Writing Conventions
Anchor
video-les-expressions-algebriques-les-conventions-d-ecriture
Type
Internal
Title
Addition and Subtraction of Algebraic Expressions (Part 1)
Anchor
video-l-addition-et-la-soustraction-d-expressions-algebriques-partie-1
Type
Internal
Title
Addition and Subtraction of Algebraic Expressions (Part 2)
Anchor
addition-soustraction-expressions-algebriques-partie-1
Type
Internal
Title
Multiplying Algebraic Expressions
Anchor
video-la-multiplication-en-algebre
Third column
Title
Exercises
Links
Type
External
Title
Algebraic Expressions
Type
External
Title
From Monomial to Polynomial
Type
External
Title
Addition of Algebraic Expressions
Type
External
Title
Multiplying Algebraic Expressions
Type
External
Title
Multiplying Algebraic Expressions
Type
External
Title
Dividing an Algebraic Expression by a Monomial
Title (level 3)
2. Sequences and Equations
Title slug (identifier)
sequences-and-equations
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Sequences and Patterns
Internal link
Type
Internal
Title
The Modes of Representation of a Relation
Type
Internal
Title
Pattern Rule of a Sequence
Internal link
Type
Internal
Title
Solving Equations and Inequalities
Anchor
equations-equivalentes
Type
Internal
Title
General Methods for Solving Equations
Second column
Title
Videos
Links
Type
Internal
Title
Find One Term in a Sequence
Internal link
Anchor
video-trouver-un-terme-d-une-suite
Type
Internal
Title
Find the Rule for a Sequence
Internal link
Anchor
video-trouver-la-regle-d-une-suite
Title
CrashCourses
Links
Type
Internal
Title
Proportional Situations, Inversely Proportional Situations and Arithmetic Sequences
Internal link
Third column
Title
Exercises
Links
Type
External
Title
The Rule for a Sequence
Type
External
Title
General Methods for Solving Equations
Type
External
Title
Solving an Equation - Secondary 2 - Written Problems
Title (level 2)
Probabilities
Title slug (identifier)
probabilities
Contenu
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
The Universe of Possibilities
Internal link
Anchor
univers
Type
Internal
Title
Modes of Representation and the Enumeration of Possible Outcomes
Type
Internal
Title
Types of Probability
Type
Internal
Title
Random Experiments With One or More Steps
Type
Internal
Title
The Tree Diagram
Internal link
Type
Internal
Title
The Venn Diagram
Internal link
Type
Internal
Title
The Intersection and Union of Sets
Type
Internal
Title
"The Concept of ""Or"" and ""And"" in Probability
Second column
Title
Videos
Links
Type
Internal
Title
Simple Random Experiments
Anchor
video-les-experiences-aleatoires-simples
Type
Internal
Title
Random Experiments With One or More Steps
Anchor
video-les-experiences-aleatoires-composees
Type
Internal
Title
Modes of Representation and the Enumeration of Possible Outcomes
Anchor
video-le-denombrement
Type
Internal
Title
Modes of Representation and the Enumeration of Possible Outcomes
Anchor
video-les-methodes-de-denombrement
Type
Internal
Title
How do you Solve a Probability Problem Using a Tree Diagram?
Internal link
Anchor
video-comment-construire-un-diagramme-en-arbre-0
Type
Internal
Title
Types of Events
Internal link
Anchor
video-les-types-d-evenements
Type
Internal
Title
Types of Probability
Anchor
video-les-types-de-probabilites
Third column
Title
Exercises
Links
Type
External
Title
The Modes of Representation of the Universe of Possibilities
Type
External
Title
Types of Events
Title (level 2)
Statistics
Title slug (identifier)
statistics
Contenu
Title
Concept Sheets
Links
Type
Internal
Title
Sampling Methods
Internal link
Type
Internal
Title
Choosing a Representative Sample
Internal link
Anchor
echantillon-representatif
Type
Internal
Title
Types of Statistical Variables
Type
Internal
Title
Methods Used to Collect Data
Type
Internal
Title
Tables in Statistics
Internal link
Type
Internal
Title
Types of Graphs in Statistics
Title (level 2)
Geometry
Title slug (identifier)
geometry
Contenu
Title (level 3)
1. The Units
Title slug (identifier)
the-units
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Units of Length and Their Conversion
Type
Internal
Title
Units for Measuring Area and Their Conversion
Second column
Title
Videos
Links
Type
Internal
Title
Units of Length and Their Conversion
Anchor
video-la-conversion-des-unites-de-capacite-de-masse-et-de-mesure
Type
Internal
Title
Units for Measuring Area and Their Conversion
Anchor
video-les-conversions-d-unites-unite-de-surface
Third column
Title
Exercises
Links
Type
External
Title
Conversion of Length Units
Type
External
Title
Converting Units of Length - Practical Applications
Type
External
Title
The Conversion of Surface Area Units
Title (level 3)
2. Plane Figures
Title slug (identifier)
plane-figures
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Regular Polygons
Internal link
Type
Internal
Title
Decomposable Geometric Figures
Second column
Title
Game
Links
Third column
Title
Exercise
Links
Type
External
Title
Remarkable Straight Lines
Title (level 3)
3. Solids
Title slug (identifier)
solids
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Solids with Curved Surfaces
Type
Internal
Title
Projections and Perspectives
Type
Internal
Title
Constructing the Net of Prisms
Type
Internal
Title
Constructing the Nets of Pyramids
Type
Internal
Title
Constructing the Nets of Cylinders
Type
Internal
Title
Decomposable and Truncated Solids
Second column
Title
Game
Links
Third column
Title
Exercises
Links
Type
External
Title
Prisms Area
Type
External
Title
Prisms Area - Written Problems
Type
External
Title
Pyramids Area
Type
External
Title
Pyramids Area – Written Problems
Type
External
Title
Cylinders Area
Type
External
Title
Cylinders Area - Written Problems
Title (level 3)
4. Geometric Transformations
Title slug (identifier)
geometric-transformations
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Constructing a Figure by Dilation
Internal link
Anchor
construction-figure-homothetie
Type
Internal
Title
The Composition of Transformations
Type
Internal
Title
Congruent and Similar Figures
Second column
Title
Videos
Links
Type
Internal
Title
Translations
Internal link
Anchor
video-la-translation
Type
Internal
Title
Rotations
Internal link
Anchor
video-la-rotation
Type
Internal
Title
Reflections
Internal link
Anchor
video-la-reflexion
Type
Internal
Title
Dilation
Internal link
Anchor
video-l-homothetie
Third column
Title
Exercise
Links
Type
External
Title
Similar Figures
Title (level 3)
5. Angles, Lengths and Areas
Title slug (identifier)
angles-lenghts-and-areas
Columns number
3 columns
Format
33% / 33% / 33%
First column
Title
Concept Sheets
Links
Type
Internal
Title
Classifying Angles
Internal link
Type
Internal
Title
Relationships between Angles
Type
Internal
Title
The Perimeter and the Area of Plane Figures
Type
Internal
Title
The Perimeter and the Area of Regular Polygons
Type
Internal
Title
The Circumference and the Area of a Circle
Type
Internal
Title
The Arcs and Sectors of a Circle
Type
Internal
Title
The Area and the Volume of Solids
Internal link
Anchor
aire-d-un-solide
Type
Internal
Title
Missing Measurements of Solids from the Area
Second column
Title
Videos
Links
Type
Internal
Title
Classifying Angles
Internal link
Anchor
video-tracer-un-angle-rentrant
Type
Internal
Title
The Perimeter and the Area of Plane Figures
Anchor
video-l-aire-des-quadrilateres-des-triangles-et-des-polygones-reguliers
Type
Internal
Title
The Perimeter and the Area of Regular Polygons
Anchor
video-l-aire-des-polygones-reguliers
Type
Internal
Title
The Circumference and the Area of a Circle
Anchor
video-trouver-le-rayon-d-un-cercle
Type
Internal
Title
Find the Diameter of a Circle
Anchor
video-trouver-le-diametre-d-un-cercle
Type
Internal
Title
Find the Circumference of a Circle
Anchor
video-trouver-la-circonference-d-un-cercle
Type
Internal
Title
The Arcs and Sectors of a Circle
Anchor
video-l-aire-du-disque-et-des-secteurs
Title
CrashCourses
Links
Third column
Title
Exercises
Links
Type
External
Title
Relations Between Angles
Type
External
Title
The Perimeter and Area of Triangles
Type
External
Title
The Perimeter and Area of Quadrilaterals
Type
External
Title
The Circumference of a Circle and the Area of a Disc
Type
External
Title
Circular Arcs and Disc Sectors
Type
External
Title
The Area and Perimeter of Plane Figures
Type
External
Title
The Area of Solids
Type
External
Title
Proofs
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