Content code
m1002
Slug (identifier)
revision-folder-mathematics-secondary-3
Parent content
Grades
Secondary III
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 want to review all the content of your third-year maths course, you can rely on it, but note that there may be differences between what you have seen in class and what is offered here, due to the diversity of textbooks used, teaching techniques and particular curriculums.
Content
Contenu
Corps
By the end of the third year of secondary school, the following concepts should have been acquired in your mathematics course:
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Type
Anchor
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Arithmetic
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arithmetic
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Algebra
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algebra
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Anchor
Title
Geometry
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geometry
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Anchor
Title
Probabilities
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probabilities
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Anchor
Title
Statistics
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statistics
Title (level 2)
Arithmetic
Title slug (identifier)
arithmetic
Contenu
Title (level 3)
1. Rational and Irrational Numbers
Title slug (identifier)
1-rational-and-irrational-numbers
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Rational Numbers
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Irrational Numbers
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Ordering Irrational Numbers
Title (level 3)
2. Sets of Real Numbers
Title slug (identifier)
2-sets-of-real-numbers
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Concept Sheets
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Representing Number Sets
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The Characteristics of a Set
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The Venn Diagram (Intersection, Union and Complementary Set)
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Title (level 3)
3. Exponential Notation
Title slug (identifier)
exponential-notation
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Title
The Laws of Exponents
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Video
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Title
Crash Course
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The Laws of Exponents
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Exercice
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Title (level 3)
4. Scientific Notation
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4-scientific-notation
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Scientific Notation
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Videos
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Title
What is Scientific Notation?
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Expressing a Number in Scientific Notation
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Adding Numbers in Scientific Notation
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Subtracting Numbers in Scientific Notation
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Multiplying Numbers in Scientific Notation
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Type
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Dividing Numbers in Scientific Notation
Internal link
Title (level 3)
5. Cubic Numbers and Roots
Title slug (identifier)
5-cubic-numbers-and-roots
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Concept Sheets
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Square and Cubic Numbers
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Square and Cube Roots
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Video
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Title
The Radicals
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Exercises
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Type
External
Title
Square and Cubic Numbers
Type
External
Title
The Roots of Numbers
Title (level 3)
6. Operations on Fractions
Title slug (identifier)
6-operations-on-fractions
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Concept Sheets
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Adding Fractions
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Internal
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Subtracting Fractions
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Internal
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Multiplying Fractions
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Internal
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Dividing Fractions
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The Order of Operations
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Second column
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Videos
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Type
Internal
Title
Adding Fractions
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Type
Internal
Title
Subtracting Fractions
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Type
Internal
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Multiplying Fractions
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Type
Internal
Title
Dividing Fractions
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Internal
Title
The Order of Operations (Part 1)
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The Order of Operations (Part 2)
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Exercises
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Type
External
Title
Operations on Fractions
Type
External
Title
Priority of Operations (with Natural Numbers)
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External
Title
The Priority of Operations (with Relative Integers)
Title (level 3)
7. Proportional Situations
Title slug (identifier)
7-proportional-situations
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Concept Sheets
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Proportional Situations
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Recognizing a Directly or Inversely Proportional Situation
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Video
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Type
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Title
Recognizing a Directly or Inversely Proportional Situation
Title (level 2)
Algebra
Title slug (identifier)
algebra
Contenu
Title (level 3)
1. Manipulating Algebraic Expressions
Title slug (identifier)
manipulating-algebraic-expressions
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Algebra - Algebraic Expressions
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From Monomials to Polynomials
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Internal
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Adding Algebraic Expressions
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Internal
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Subtracting Algebraic Expressions
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Internal
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Multiplying Algebraic Expressions
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Dividing an Algebraic Expression by a Monomial
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Simplifying Algebraic Expressions
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Factoring out a Greatest Common Factor
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Title
Videos
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Type
Internal
Title
Algebra - Algebraic Expressions
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Internal
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Algebraic Expressions: Writing Conventions
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Internal
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Addition and Subtraction of Algebraic Expressions (Part 1)
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Internal
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Addition and Subtraction of Algebraic Expressions (Part 2)
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Internal
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Multiplication in Algebra (Part 1)
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Internal
Title
Multiplication in Algebra (Part 2)
Type
Internal
Title
Dividing an Algebraic Expression by a Monomial
Type
Internal
Title
Factoring Out a Greatest Common Factor
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Internal
Title
Factoring a Polynomial: Explaining How it Works
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Internal
Title
Factoring a Polynomial: Example 1 of the Simple Method
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Internal
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Factoring a Polynomial: Example 2 of the Simple Method
Third column
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Exercises
Links
Type
External
Title
Algebraic Expressions
Type
External
Title
From Monomial to Polynomial
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External
Title
Addition of Algebraic Expressions
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External
Title
Subtraction of Algebraic Expressions
Type
External
Title
Multiplying Algebraic Expressions
Type
External
Title
Dividing Algebraic Expressions by a Monomial
Type
External
Title
The Priority of Operations Applied to Algebraic Expressions
Title (level 3)
2. Equations or Inequalities
Title slug (identifier)
equations-inequalities
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Concept Sheets
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Algebra - Equations and Inequalities
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Internal
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Solving Algebraic Inequalities
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Internal
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Translating a Statement into an Equation or an Inequality
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Internal
Title
Representing a Solution Set
Second column
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Exercises
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Type
External
Title
The Notion of Inequality and the Translation of a Statement
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External
Title
Solving an Inequality of First-Degree with one Variable
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External
Title
Solve an Equation of First-Degree with one Variable
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External
Title
Translating one Statement
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External
Title
Inequalities and Sets
Title (level 3)
3. Systems of Equations or Inequalities
Title slug (identifier)
systems-of-equations-or-inequalities
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Concept Sheets
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Solving Systems of Linear Equations
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Internal
Title
The Comparison Method
Internal link
Second column
Title
Video
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Type
Internal
Title
Solving a System of Equations by Comparison
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Title
Crash Course
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Type
Internal
Title
Systems of Equations
Third column
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Exercises
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Type
External
Title
Solving Systems of Linear Equations
Type
External
Title
Solving Systems of Linear Equations - Written Problems
Type
External
Title
Solving Systems of Linear Equations - The Comparison Method
Type
External
Title
The Comparison Method - Written Problems
Title (level 3)
4. Functions and Inverses
Title slug (identifier)
functions-and-inverses
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Concept Sheets
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Types of Variables
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The Properties of Functions
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The Inverse of a Function
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Videos
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Dependent and Independent Variables
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Internal
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The Properties of Real Functions
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The Inverse of a Function
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Crash Course
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Function Analysis
Third column
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Exercise
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Type
External
Title
Function Properties
Title (level 3)
5. Polynomial Functions of Zero-Degree or First-Degree
Title slug (identifier)
5-polynomial-functions-of-zero-degree-or-first-degree
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Concept Sheets
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Zero- and First- Degree Polynomial Functions (Linear)
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Internal
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The Rate of Change (a) and the y-Intercept (b)
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Graphing a Linear Function
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The Properties of a Linear Function
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Videos
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Type
Internal
Title
The Properties of Real Functions
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Internal
Title
Graphing a Linear Function
Third column
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Exercises
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Type
External
Title
The Rate of Change
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External
Title
Trace an Affine Function on a Graph
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External
Title
The Properties of the Affine Function: Domain and Image
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External
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Properties of the Affine Function: Zeros and Signs
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External
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Properties of the Affine Function: Increase, Extremums and y-Coordinate at the Origin
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External
Title
The Properties of the Affine Function
Title (level 3)
6. The Reciprocal Variation Function (Rational Function)
Title slug (identifier)
6-the-reciprocal-variation-function-rational-function
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Concept Sheet
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The Inverse Variation Function (Inversely Proportional Situation)
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Exercise
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Type
External
Title
The Reciprocal Variation Function
Title (level 2)
Geometry
Title slug (identifier)
geometry
Contenu
Title (level 3)
1. The Units
Title slug (identifier)
the-units
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First column
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Concept Sheets
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Units for Measuring Volume and their Conversion
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Units of Capacity and their Conversion
Second column
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Videos
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Units for Measuring Volume and their Conversion
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Internal
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Units of Capacity and their Conversion
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Units of Capacity and their Conversion
Third column
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Exercises
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Type
External
Title
Conversion of Volume Units
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External
Title
Conversion of Capacity Units
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Title
The Conversion of Capacity and Volume Units
Title (level 3)
2. Geometric Figures
Title slug (identifier)
geometric-figures
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Triangles
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The Net and Drawing of a Sphere
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Constructing the Nets of Cones
Second column
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Game
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Title (level 3)
3. Representing Figures in 3-D
Title slug (identifier)
figures-in-3d
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Orthogonal Projections (Multiple Views)
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Parallel Projections (Cavalier and Axonometric)
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Central Projections With one or two Vanishing Points
Title (level 3)
4. Relationships in Figures and Solids
Title slug (identifier)
relationships-in-figures-and-solids
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Concept Sheets
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The Area and the Volume of Solids
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Internal
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Formulas for Perimeter, Area and Volume
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Internal
Title
Missing Measurements of Solids from the Area
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Internal
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Missing Measurements according to Area: Decomposable and Truncated Solids
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Internal
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Missing Measurements of Solids from the Volume
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Missing Measures from a Volume: Decomposable and Truncated Solids
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Internal
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Congruent and Similar Figures
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Internal
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Isometric and Similar Solids
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Title
The Similarity Ratio for Lengths, Areas, and Volume (k, k², k³)
Second column
Title
Videos
Links
Type
Internal
Title
The Perimeter and the Area of Plane Figures
Type
Internal
Title
The Similarity Ratio for Lengths, Areas, and Volume (k, k², k³)
Title
Crash Courses
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Type
Internal
Title
Missing Measurements in Solids
Type
Internal
Title
Proofs
Third column
Title
Exercises
Links
Type
External
Title
The Area and Volume of Solids
Type
External
Title
Written Problems about the Area and Volume of Solids
Type
External
Title
Calculating Similarity Ratios, Areas and Volumes
Type
External
Title
Applying Similarity, Area and Volume Ratios
Type
External
Title
The Ratios of Similarity, Area and Volume (|k|, |k^2|, |k^3|) involving the Variables
Title (level 3)
5. The Pythagorean Theorem
Title slug (identifier)
the-pythagorean-theorem
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Concept Sheet
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The Pythagorean Theorem
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Video
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The Pythagorean Theorem
Third column
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Exercises
Links
Type
External
Title
The Pythagorean Relation
Type
External
Title
The Pythagorean Relation - Written Problems
Title (level 2)
Probabilities
Title slug (identifier)
probabilities
Contenu
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Concept Sheets
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Title
Geometric Probabilities
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Title
Counting the Results of Possible Outcomes
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Permutations, Arrangements and Combinations
Second column
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Videos
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Title
Introduction to Probabilities
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Internal
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Problem Solving: Probabilities
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Internal
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Geometric Probabilities
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Internal
Title
Counting Methods
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Counting
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Permutations, Arrangements and Combinations
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Exercise
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Type
External
Title
Introduction to Probabilities
Title (level 2)
Statistics
Title slug (identifier)
statistics
Contenu
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2 columns
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Concept Sheets
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Sampling Methods
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Internal
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Tables in Statistics
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Internal
Title
Types of Graphs in Statistics
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Internal
Title
Measures of Central Tendency
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Measures of Dispersion
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Scatter Plots
Second column
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Video
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Internal
Title
Mean, Mode and Median
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