FOUNDATIONS OF MATHEMATICS: MFM2P
Essential Skills Review
UNIT 1: Measurement systems and Similar Triangles
UNIT 2: Right Angle Triangles
UNIT 3: Linear Relations
UNIT 4: Linear Equations
UNIT 5: Linear Systems
UNIT 6: Quadratic Reasoning
UNIT 7: Quadratic Expressions
UNIT 8: Representing Quadratic Relations
UNIT 9: Volume and Surface Area
UNIT 1: Measurement systems and Similar Triangles
1.1 Imperial Measure
Pages 4 #
Website Video Clips with Solutions:
Finding Area with Imperial Units example 1
Finding Area with Imperial Units example 2
1.2 Converting Imperial to Metric
Pages 14 #
Website Video Clips with Solutions:
Converting CM to Inches
Converting Litres to Cups example
Converting Cubic Units example
Converting from feet to Meters
Additional Support Tools:
Converting Units of Measure Chart
Converting Units of Measurement Online Calculator
Using this online calculator to check your answers
1.3 Similar Triangles
Pages 17 #
Website Video Clips with Solutions:
1.4 Solving Problems Using Right
Triangles
Website Video Clips with Solutions:
Unit 1 Review
Corresponding Angles Example
Corresponding Side of Triangles Examples
Checking Similar Triangles
Finding angles and sides of Similar Triangles
Similar Triangles and Proportions examples
Go to topic “Geometry” then click on “Similar Triangle and Proportions”
Pages 29 #
Application Problem for Similar Triangles
Application Problem Similar Triangle
Go to topic “Geometry” then click on “Pythagoras Theorem”
Solving Right Angle Triangles example
Go to topic “Geometry” then click on “Right Angle Triangles”
Pages 60-62 #
UNIT 2: Right Angle Triangles
2.1 The Pythagorean Theorem
Pages 76-78 #
Finding the Hypotenuse example
Website Video Clips with Solutions:
Finding the side of a right Triangle example
Proportion example 1
Proportion example 2
Khan Academy Exercises:
The Pythagorean Theorem Practice Problems 1
The Pythagorean Theorem Practice Problems 2
Review of Simplifying Radicals
2.2 Exploring Right Angles
Pages 86-88#
Website Video Clips with Solutions:
2.3 The Sine and Cosine Ratios
Website Video Clips with Solutions:
Finding the Hypotenuse Examples
Watch Concept Video and problem videos 1-4
Finding the Hypotenuse example 1
Finding the Hypotenuse example 2
Finding the sides of Triangle example 3
Watch Concept Video and problem videos 1-3
Application problem with Pythagoras Theorem
Application problem with Pythagoras Theorem 2
Right Angle Triangle Examples
Click on topic “Geometry” then click on “Right Angle Triangle Trigonometry
Pages 91-92#
Sine Ratio explanation
Using Sine ratio to find angles
Sin Ratio Example
Watch Concept Video and problem videos 1-2
Using Sine to find the length of a side
Sine ratio Application word problem example
Cosine Ratio Explanation
Cosine Ration Examples 1
Watch Concept Video and problem videos 1-2
Using Cosine to find angles
Cosine Application problem
2.4 The Tangent Ratio
Website Video Clips with Solutions:
Pages 103-106#
Tangent Ratio Explanation
The Tangent Ratio Explanation and examples
Watch Concept Video and problem videos 1-2
Tangent ratio example finding angles
Tangent ratio example find the length of sides of a triangle
Khan Academy Exercises:
Sine, Cosine, and Tangent Right Angle Practice Problems
2.5 Solving problems using Right
Triangles
Pages 111-113
Website Video Clips with Solutions:
Review
Application Problem for Triangles example 1
Application Problem example 2
Application Problem example 3
Application problem #4
Application Problem #5
Pages 10-11 #
UNIT 3: Linear Relations
3.1 Slope as a Rate of Change
Pages 127-128#
Website Video Clips with Solutions:
Finding the slope example 1
Find slope example 2
Finding the slope of a ramp
Find the slope from a linear relation y=mx+b
Find the slope from a linear relation y=mx+b example 2
Khan Academy Exercises:
3.2 Investigating slope and yintercepts using technology
Website Video Clips with Solutions:
Finding the Slope of a Line Practice Problems
Pages 136-138 #
See videos above
Finding the Slope of a Line from graph example
Watch Concept Video and problem videos 1-3
Additional Support Tools:
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you can enter
equations and get the graph. You also have the choice to download the software for free.
Graphing Calculator Emulator
Download the free graphing calculator software.
3.3 Properties of Slopes of Lines
Pages 146-148 #
Website Video Clips with Solutions:
Definition of Slope
Finding the slope of a line from two lines
Watch Concept Video and problem videos 1-3
Khan Academy Exercises:
Finding the Slope of a line by looking at the Graph Practice Problems
3.4 Determining equations of lines
Pages 155-158 #
Website Video Clips with Solutions:
Khan Academy Exercises:
3.5 Graphing by Hand
Website Video Clips with Solutions:
Khan Academy Exercises:
Additional Support Tools:
Determining the equation of a line example 1
Determining the equation of a line example 2
Determining the Equation of a line example 3
Watch Concept Video and problem videos 1-4
Determining the Equation of a Line Practice Problems
Pages 168-170 #
Graphing the costs of two different linear relations application problem
Graphing Lines from the linear equations examples
Watch Concept Video and problem videos 1-3
Graphing Lines using Point and Y-intercept method
Watch Concept Video and problem videos 1-2
Graphing Points of the x and y-axis Practice Problems
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you
can enter equations and get the graph. You also have the choice to download the
software for free.
Graphing Calculator Emulator
Download the free graphing calculator software.
Review
Pages 184-185 #
UNIT 4: Linear Equations
4.1 Solving One-step and Two-Step
Linear Equations
Website Video Clips with Solutions:
Pages 204-206#
Solving Linear Equations example 1
Solving Linear Equations Example 2
Solving Linear Equations example 3
Solving Linear Equations Example 4
Watch Concept Video and problem videos 1-4
Review Videos of grade 9
Simplifying linear expressions 1
Collecting like terms
Khan Academy Exercises:
Solving Linear Equations Practice Questions 1
Review Practice of Essential Skills
Adding and Subtracting Fractions Practice Problems
Multiplying Fractions Practice Problems
Diving Fractions Practice Problems
4.2 Solving Multiple Step Linear
Equations
Pages 213-215 #
Website Video Clips with Solutions:
Solving equations with Fractions example
Expanding and Solving Linear Equations example
Solving multi-step equations example 1
Solving multi-step equations example 2
Solving Multi-step Equations example 3
Watch Concept Video and problem videos 1-3
Solving Multiple Step Equations example 4
Watch Concept Video and problem videos 1-4
Khan Academy Exercises:
Solving Linear Equations Practice Questions 2
Solving Linear Equations Practice Questions 3
Solving Linear Equations Practice Questions 4
Solving System of Equations Review Practice Questions
4.3 Model with Formulas
Pages 225-227 #
Website Video Clips with Solutions:
Solving Equations with Variables on both sides
Modelling with Formulas example 1
4.4 Converting Linear Equations
from Standard Form
Website Video Clips with Solutions:
Pages 235-238 #
Writing linear equations in Standard Form example 1
Writing linear equations in Standard Form example 2
From standard form to y=mx+b form example
Writing Linear equations in Standard From example 4
Watch Concept Video and problem videos 1-3
Review
Pages 240-241
Khan Academy Exercises:
Solving System of Equations Review Practice Questions
FOUNDATIONS OF MATHEMATICS: MFM2P UNIT 5: Linear Systems
5.1 Solving Linear Systems by
Graphing
Pages 424-425 # 2-5,8i,9,13,15-17
Website Video Clips with Solutions:
Completing a table of Values from a linear equation
Graphing a line from a table of values
Finding the point of intersection example 1
Finding the point of intersection example 2
Solve by Graphing example 3
Go to topic “Algebra” then click on “Linear systems” then click on “Solve by Graphing”
Khan Academy Exercises:
Finding the Y-intercept practice Problems
5.2 Solving Linear Systems by
Substitution
Pages 430-431 #1-4,5i,6i,10-11 17-20
Website Video Clips with Solutions:
5.3 Solving Linear Systems by
Elimination
Website Video Clips with Solutions:
Solving by substitution example 1
Solving by substitution example 2
Solving by Substitution multiple examples
Go to topic “Algebra” then click on “Linear systems” then click on “Substitution”
Solving by Substitution examples
Watch concept video and practice problems 1-3
Pages 439-440 #1,2,4-7,10,11
Solving by elimination example 1
Solving by elimination example 2
Solving by elimination example 3
Solving by Elimination multiple examples
Go to topic “Algebra” then click on “Linear systems” then click on “Addition Method”
Solving by Elimination examples
Watch concept video and practice problems 1-3
5.4 Solving Problems involving
Linear Systems
Pages 443 #1-3
Website Video Clips with Solutions:
Application Problem for Linear Systems
Application problem of Linear System examples
Watch concept video and practice problems 1-3
Review
Pages 468-469
UNIT 6: Quadratic Reasoning
6.1 Exploring Non-Linear Relations
Website Video Clips with Solutions:
Pages 320-322
Graphing Quadratics
Properties of Parabolas
Interpreting Parabolas example 1
Interpreting Parabolas example 2
Interpreting Parabolas example 3
Khan Academy Exercises:
6.2 Modelling Quadratic Relations
Pages 330-332
Website Video Clips with Solutions:
Interpreting Parabolas example 1
Interpreting Parabolas example 2
Interpreting Parabolas example 3
6.3 Key Features of Quadratic
Relations
Website Video Clips with Solutions:
Pages 336
Key Features of Quadratic Relations explanation
Quadratic Graph Explanations
Watch concept Video
6.4 Rates of Change in Quadratic
Relations
Pages 344-345#
Website Video Clips with Solutions:
See videos
Review
Pages 374-377 #
UNIT 7: Quadratic Expressions
7.1 Multiplying Two Binomials
Website Video Clips with Solutions:
7.2 Common Factoring
Expanding review
Multiplying Binomial example 1
Multiplying Binomial example 2
Expanding Binomials using the FOIL method
Expanding binomials using algebra area tiles
Expanding and simplifying binomials/polynomial examples
Click on topic “Algebra” then click on “polynomials” and watch “multiplication of
polynomials”
Pages 10-11 #
Website Video Clips with Solutions:
Finding Common Factors Example 1
Finding Common Factors Example 2
Khan Academy Exercises:
Find the Greatest Common divisor
Find the greatest Common divisor is an essential skills when factoring
7.3 Factoring Difference of Squares
Website Video Clips with Solutions:
7.4 Factoring Trinomials in the form
x2 + bx + c
Website Video Clips with Solutions:
Khan Academy Exercises:
Pages 10-11 #
Difference of Squares example 1
Difference of Squares example 2
Difference of Perfect Squares
Watch Concept Video and practice problems 1-3
Pages 10-11 #
Quadratic Functions
Click on Quadratic Functions: Factoring: #13-17 (Common Factoring, Trinomials)
Factoring Trinomials with a=1 example
Click on topic “Algebra” then click on “factoring” and watch “Trinomials with a=1 examples”
Factoring Quadratic example 2
Factoring Quadratic example 3
Solving Quadratics By Factoring
UNIT 8: Representing Quadratic Relations
8.1 Interpreting Quadratic Relations
Pages 451 #
Website Video Clips with Solutions:
Graphing Quadratics
Properties of Parabolas
8.2 Representing Quadratic
Relations
Website Video Clips with Solutions:
Pages 457-458 #
Interpreting Parabolas example 1
Interpreting Parabolas example 2
Interpreting Parabolas example 3
8.3 The Quadratic Relation
y=ax2 + c
Website Video Clips with Solutions:
8.4 Solving Problems Involving
Quadratic Relations
Graphing Quadratic Relations example 2
Click on topic “Algebra” then click on “graphing” and watch “Parabolas”
Graphing quadratics explanation the “a”-value
Examples of Quadratic Graphs
Pages 475-476 #
Application problem for quadratic relation example
Website Video Clips with Solutions:
Review
Pages 404-405 #
UNIT 9: Volume and Surface Area
9.1 Volume of Prisms and Pyramids
Website Video Clips with Solutions:
Pages 481-482 #1-4,6-10,12
Volume of a Rectangular Prism
The Volume of a Square Pyramid
Finding the Volume of Prisms examples
Watch Concept video and practice Problems 1-3
Khan Academy Exercises:
Review Solid Geometry Practice Problems
Additional Support Tools:
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you
can enter equations and get the graph. You also have the choice to download the
software for free.
9.2 Surface Area of Prisms and
Pyramids
Website Video Clips with Solutions:
9.3 Surface Area and Volume of
Cylinders
Pages 490-492 #1,2,4-6,7-12,14,17
Surface Areas of Prisms Example
Watch Concept video and practice Problems 1-2
Surface Area of a square Pyramid
Surface Area of Pyramid Example 2
Watch Concept video and practice Problems 1-2
Surface area of a Rectangular Prism
Volume of Pyramids example 2
Watch Concept Video and problem videos 1-3
Surface Area of Spheres Example 2
Watch Concept video and practice Problems 1-3
Pages 498-499 #1-9,11-14
Surface Area of a Cylinder
Website Video Clips with Solutions:
Additional Support Tools:
9.4 Volume of Cones and Spheres
Website Video Clips with Solutions:
Khan Academy Exercises:
Additional Support Tools:
Surface Area of Cylinders Example 2
Watch Concept video and practice Problems 1-2
Volume of a Cylinder Example
Volume of a Cylinder example 2
Watch Concept video and practice Problems 1-3
Gizmos Prisms and Cylinders Practice Problems
Login into your Gizmos Account and do the assessment by using the animation
screen
Gizmos Prisms and Cylinders Practice Problems # 2
Login into your Gizmos Account and do the assessment by using the animation
screen
Pages 511-512 #
Volume of a cone
Volume of a Sphere Example
Volume of Spheres example 2
Watch Concept video and practice Problems 1-3
Volume of Cones Example 2
Watch Concept video and practice Problems 1-3
Surface Area of Cones example
Watch Concept video and practice Problems 1-2
Finding the Surface Area and Volume of Geometric Shapes
Gizmos Pyramids and Cones Volume practice Problems #1
Login into your Gizmos Account and do the assessment by using the animation
screen
Gizmos Pyramids and Cones Volume practice Problems #2
Login into your Gizmos Account and do the assessment by using the animation
screen
9.5 Solving Volume and Surface
Area problems
Pages 520-522 #
Website Video Clips with Solutions:
See videos above
Review
Pages 534-535 #