NUMBER OF MATH VIDEOS = 296 !!!
(For other non-math videos by Mr. Bergman, click here)
COURSES
Mr. Bergman's MFM1P Videos:
UNIT 1 - Proportional Reasoning
UNIT 2 - 1D and 2D Measurement
Finding the Area of Composite Shapes
Pythagorean Theorem
Back up to the top
UNIT 3 - Data Relationships
Determine the Equation for a Line of Best Fit
LinReg - Getting a Line of Best Fit on the TI83
UNIT 4 - Characteristics of Linear Relations
Linear - Table Introduction
Linear - Table and Equation
Back up to the top
UNIT 5 - Linear Relations
Linear - Table Introduction
Linear - Table and Equation
Sketch a Line of Best Fit
UNIT 6 - 3D Measurement
Pythagorean Theorem
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
Back up to the top
UNIT 7 - Algebraic Modelling
Adding Like Terms
Adding And Subtracting Polynomials
Expanding Using FOIL
Expanding Using Foil Two Ways
Multiplying Polynomials
Multiplying Three Binomials Together
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Back up to the top
UNIT 8 - Geometric Relationships
Mr. Bergman's MPM1D Videos:
Back up to the top
UNIT 1 - Numeracy
Adding and Subtracting Fractions
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Multiplying and Dividing Fractions
Back up to the top
UNIT 2 - Polynomials and Power Laws
Adding Like Terms
Adding And Subtracting Polynomials
Expanding Using FOIL
Expanding Using Foil Two Ways
Multiplying Polynomials
Multiplying Three Binomials Together
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Back up to the top
UNIT 3 - Relationships in Data
Determine the Equation for a Line of Best Fit
LinReg - Getting a Line of Best Fit on the TI83
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
UNIT 4 - Linear Relations
Linear - Table Introduction
Linear - Table and Equation
UNIT 5 - Equation of a Line - Part 1
Sketch a Line of Best Fit
Determine the Equation for a Line of Best Fit
LinReg - Getting a Line of Best Fit on the TI83
Back up to the top
UNIT 6 - Equation of a Line - Part 2
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
UNIT 7 - Angles and Measurement
Pythagorean Theorem
Finding the Area of Composite Shapes
Finding the Area of Composite Shapes 2
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
Back up to the top
UNIT 8 - Distance and Time Graphs
Adding Like Terms
Linear - Table Introduction
Linear - Table and Equation
UNIT 9 - Distance vs. Time Graphs
Mr. Bergman's MFM2P Videos:
UNIT 1 - Ratio & Proportions / Similar Triangles
UNIT 2a - Equations of a Line
Sketch a Line of Best Fit
Determine the Equation for a Line of Best Fit
Graphing the Parent Function - Line and Quadratic
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Back up to the top
UNIT 2b - Writing Equations of a Line
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Unit 3 - Linear Systems
Solving a Linear System by Elimination
Solving a Linear System by Substitution
Solving a Linear System Word Problem Using Elimination
Solving a Linear System Word Problem Using Substitution
Back up to the top
Primary Trig Ratios
Pythagorean Theorem
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Back up to the top
Quadratics
Quadratic - Table and Equation
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Expanding Using FOIL
Expanding Using Foil Two Ways
Multiplying Three Binomials Together
Graphing the Parent Function - Line and Quadratic
Common Factoring
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Find A Quadratic Equation Given Two Zeroes And A Point
Graphing Using Step Pattern
Solving A Word Problem Using Quadratic Formula
State The Transformations Given Vertex Form
Transformations of a Parabola
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
Surface Area and Volume
Pythagorean Theorem
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
Mr. Bergman's MPM2D Videos:
Back up to the top
UNIT 0 - Introduction and review
Adding Like Terms
Adding and Subtracting Fractions
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Sketch a Line of Best Fit
Determine the Equation for a Line of Best Fit
Graphing the Parent Function - Line and Quadratic
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Multiplying and Dividing Fractions
Multiplying Polynomials
Multiplying Three Binomials Together
Pythagorean Theorem
Back up to the top
UNIT 1 - Linear Systems
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Solving a Linear System by Elimination
Solving a Linear System by Substitution
Solving a Linear System Word Problem Using Elimination
Solving a Linear System Word Problem Using Substitution
UNIT 2 - Analytic Geometry
Finding Slope Distance And Midpoint Of A Line Segment
UNIT 3 - Introduction to Quadratic Equations
Quadratic - Table and Equation
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Expanding Using FOIL
Expanding Using Foil Two Ways
Multiplying Three Binomials Together
Graphing the Parent Function - Line and Quadratic
Back up to the top
UNIT 4 - Factoring Quadratic Equations
Common Factoring
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Back up to the top
UNIT 5 - Vertex Form of Quadratic Equations
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Find A Quadratic Equation Given Two Zeroes And A Point
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Graphing Using Step Pattern
Solving A Word Problem Using Quadratic Formula
State The Transformations Given Vertex Form
Transformations of a Parabola
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
UNIT 6 - Triangles
Pythagorean Theorem
Evaluating Cosine Law for an Angle
Solving Triangles What Law To Use
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Mr. Bergman's MBF3C Videos:
Back up to the top
Review of previous material
Adding Like Terms
Adding and Subtracting Fractions
Adding And Subtracting Polynomials
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Common Factoring
Determine the Equation for a Line of Best Fit
Expanding Using FOIL
Graphing the Parent Function - Line and Quadratic
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Multiplying and Dividing Fractions
Multiplying Polynomials
Multiplying Three Binomials Together
Sketch a Line of Best Fit
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Back up to the top
UNIT 1 - Trigonometry
Pythagorean Theorem
Evaluating Cosine Law for an Angle
Solving Triangles What Law To Use
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Back up to the top
UNIT 2 - Geometry
Conversions Including 2D and 3D
Pythagorean Theorem
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
Finding the Area of Composite Shapes
Finding the Area of Composite Shapes 2
Back up to the top
UNIT 3/4 - Quadratics
Quadratic - Table and Equation
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Expanding Using FOIL
Expanding Using Foil Two Ways
Multiplying Polynomials
Multiplying Three Binomials Together
Common Factoring
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Find A Quadratic Equation Given Two Zeroes And A Point
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Graphing Using Step Pattern
Solving A Word Problem Using Quadratic Formula
Solving Quadratics of Any Form
State The Transformations Given Vertex Form
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
UNIT 5 - 1 Variable Statistics
Calculating Mean Median and Mode by Hand
Calculating 1 Var Stats Using the TI-83
Four Types of Bias
Open and Closed Questions
Types of Sampling
Back up to the top
UNIT 6 - Probability
Draw Venn Diagrams
Finding the Probability with Two Dice
Probability Word Problem 1
Probability In Selecting a Committee 1
Probability in Selecting a Committee 2
Back up to the top
UNIT 7 - Exponentials
Linear - Table Introduction
Linear - Table and Equation
Quadratic - Table and Equation
Graphing the Parent Function - Line and Quadratic
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Exponential Table And Graph
Exponential Decay
Exponential Growth
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Solving Exponential Equations 1
Solving Exponential Equations 2
Solving An Exponential Word Problem
Solving an Exponential Word Problem Using Guess and Check
Back up to the top
UNIT 8 - Financial Applications
Compound Interest Future Value
Compound Interest Present Value
Working with Annuities Online - Future Value
Working with Annuities Online - Present Value
Calculating Payments for a Loan with a Down Payment Online
Back up to the top
Mr. Bergman's MCF3M Videos:
Back up to the top
Review of previous material
Adding Like Terms
Adding and Subtracting Fractions
Adding And Subtracting Polynomials
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Determine the Equation for a Line of Best Fit
Expanding Using FOIL
Graphing the Parent Function - Line and Quadratic
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Multiplying and Dividing Fractions
Multiplying Polynomials
Multiplying Three Binomials Together
Sketch a Line of Best Fit
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Back up to the top
UNIT 0 - Introductory Material
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
For Lesson:
Linear - Table Introduction
Linear - Table and Equation
Quadratic - Table and Equation
Graphing the Parent Function - Line and Quadratic
Exponential Table And Graph
Graphing a Transformed Sine Wave
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Adding Like Terms
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Back up to the top
UNIT 1 - Intro to Functions
Evaluating Function Notation
Is It a Function or Not and Domain and Range
UNIT 2 - Factored Form of a Quadratic
Quadratic - Table and Equation
Expanding Using FOIL
Expanding Using Foil Two Ways
Multiplying Polynomials
Multiplying Three Binomials Together
Common Factoring
Factoring - Difference of Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factoring and Solve - Simple Quadratic
Find A Quadratic Equation Given Two Zeroes And A Point
Back up to the top
UNIT 3 - Vertex Form of a Quadratic
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Graphing Using Step Pattern
Solving A Word Problem Using Quadratic Formula
State The Transformations Given Vertex Form
Back up to the top
UNIT 4 - Quadratics Summary and Quadratic Equation
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Solving Quadratics of Any Form
Solving A Word Problem Using Quadratic Formula
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
UNIT 5 - Exponential Functions
Exponential Table And Graph
Exponential Decay
Exponential Growth
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Solving An Exponential Word Problem
Solving an Exponential Word Problem Using Guess and Check
Graphing the Parent Function - Exponential and Square Root
Back up to the top
UNIT 6 - Financial Applications
Compound Interest Future Value
Compound Interest Present Value
Working with Annuities Online - Future Value
Working with Annuities Online - Present Value
Calculating Payments for a Loan with a Down Payment Online
Back up to the top
UNIT 7 - Trigonometry
Pythagorean Theorem
Evaluating Cosine Law for an Angle
Solving Triangles What Law To Use
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Back up to the top
UNIT 8 - Periodic Functions
Graphing a Transformed Sine Wave
Graphing the Parent Function - Sine and Cosine
Identifying The Properties Of A Sine Wave
Back up to the top
Mr. Bergman's MCR3U Videos:
Back up to the top
UNIT 0 - Review of previous material
Adding Like Terms
Adding and Subtracting Fractions
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Expanding Using FOIL
Expanding Using Foil Two Ways
Graphing the Parent Function - Line and Quadratic
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Multiplying and Dividing Fractions
Multiplying Polynomials
Multiplying Three Binomials Together
Pythagorean Theorem
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Back up to the top
UNIT 1 - Intro to Functions
Evaluating Function Notation
Is It a Function or Not and Domain and Range
Inverse A Function Two Ways
Graphing the Parent Function - Line and Quadratic
Graphing a Transformed Sine Wave
Graphing the Parent Function - Reciprocal Function
State The Transformations Given Vertex Form
Transformations of a Parabola
UNIT 2 - Equivalent Expressions (Rational and Polynomial)
Adding And Subtracting Polynomials
Adding And Subtracting Rational Expressions
Expanding Using FOIL
Expanding Using Foil Two Ways
Common Factoring
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Multiplying And Dividing Rational Expressions
Multiplying Polynomials
Multiplying Three Binomials Together
Simplifying Rational Expressions
Using Binomial Theorem
Back up to the top
UNIT 3 - Quadratics and Radicals
Quadratic - Table and Equation
Convert Vertex Form To Standard Form Two Ways
Completing the Square - Converting Standard Form to Vertex Form
Find A Quadratic Equation Given Two Zeroes And A Point
Common Factoring
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Graphing the Parent Function - Line and Quadratic
Graphing Using Step Pattern
Intersection Of A Line And A Quadratic
Inverse A Function Two Ways
Operations With Radicals
Solving A Word Problem Using Quadratic Formula
Solving Quadratics of Any Form
Solving a 3D Trig Problem
Solving a Profit Word Problem by Completing the Square
Solving a Revenue Word Problem Using Quadratic Formula
State The Transformations Given Vertex Form
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
UNIT 4 - Exponential Expressions
Exponential Table And Graph
Exponential Decay
Exponential Growth
Graphing the Parent Function - Exponential and Square Root
Solving Exponential Equations 1
Solving Exponential Equations 2
Solving An Exponential Word Problem
Solving an Exponential Word Problem Using Guess and Check
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Transformations of an Exponential
Back up to the top
UNIT 5 - Trigonometry
Evaluating Cosine Law for an Angle
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Solve for Theta in Degree Mode - Two Possible Answers
Solving Triangles What Law To Use
Special Triangles in Degrees
Trig Identities for Grade 11
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Back up to the top
UNIT 6 - Periodic Functions
Graphing a Transformed Sine Wave
Graphing the Parent Function - Sine and Cosine
Identifying The Properties Of A Sine Wave
UNIT 7 - Sequences, Series and Financial Applications
Sequences: Determining the General Term in an Arithmetic Sequence Given Limited Info
Sequences: Determining the General Term in an Geometric Sequence Given Limited Info
Finding the Sum of a Series
Compound Interest Future Value
Compound Interest Present Value
Back up to the top
Mr. Bergman's MAP4C Videos:
Back up to the top
Unit 0 - Review
Adding Like Terms
Adding and Subtracting Fractions
Adding And Subtracting Rational Expressions
Adding And Subtracting Polynomials
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Evaluating Function Notation
Graphing the Parent Function - Line and Quadratic
Linear - Table Introduction
Linear - Table and Equation
Multiplying and Dividing Fractions
Quadratic - Table and Equation
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Back up to the top
UNIT 1 - 1 Variable Statistics
Calculating Mean Median and Mode by Hand
Calculate Mean Median and Mode Using Google Spreadsheets
Calculate Quartiles
Calculating 1 Variable Statistics Using Google Spreadsheets
Definitions and Explanations of 1 Variable Statistics Terms
Four Types of Bias
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Open and Closed Questions
TYPED - Causation, Correlation and Accidental
TYPED - Introduction to Sampling and Bias
TYPED - Making Unbiased Surveys
TYPED - Mean, Median and Mode
TYPED - Standard Deviation, Quartiles and Outliers
Types of Sampling
UNIT 2 - 2 Variable Statistics
Correlation Coefficient
Creating a Line of Best Fit in Google Spreadsheets
Determine the Equation for a Line of Best Fit
Sketch a Line of Best Fit
Selecting the Best Regression in Desmos
Back up to the top
UNIT 3 - Exponentials and Exponents
Linear - Table Introduction
Linear - Table and Equation
Quadratic - Table and Equation
Exponential Decay
Exponential Growth
Graphing the Parent Function - Line and Quadratic
Exponential Table And Graph
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Solving Exponential Equations 1
Solving Exponential Equations 2
Solving An Exponential Word Problem
Solving an Exponential Word Problem Using Guess and Check
Back up to the top
UNIT 4 - Annuities
Working with Annuities Online - Future Value
Working with Annuities Online - Present Value
Calculating Payments for a Loan with a Down Payment Online
UNIT 5 - Personal Finance
Estimating Net Income in Ontario Around 2020
Renting vs. Buying
Making a Monthly Budget
Revising a Monthly Budget
Back up to the top
UNIT 6 - Geometry
Conversions Including 2D and 3D
Finding the Area of Composite Shapes
Finding the Area of Composite Shapes 2
Pythagorean Theorem
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
UNIT 7 - Trigonometry
Pythagorean Theorem
Using SOHCAHTOA to Determine Angle
Using SOHCAHTOA to Determine Sides
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Using Sine Law to Determine Angles and Sides
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Evaluating Cosine Law for an Angle
Using Cosine Law to Determine a Side
Solving Triangles What Law To Use
Solving A Trigonometry Word Problem That Has Conversions
Back up to the top
Mr. Bergman's MDM4U Videos:
Back up to the top
UNIT 0 - Review
Adding Like Terms
Adding and Subtracting Fractions
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Multiplying and Dividing Fractions
Using Binomial Theorem
Back up to the top
UNIT 1 - Permutations and Combinations
Drawing Tree Diagrams
Using the Fundamental Counting Principle
Determine Permutations
Permutations - Indirect Method
Permutations - Rule of Sum
Determine Permutations with Like Objects
Determine Combinations
Problem Solving with Combinations
Combinations Word Problem
Determine the Number of Divisors
Working with Pascal's Triangle
Permutations - Counting the Number of Paths
Number of Ways - When to Use What
Back up to the top
UNIT 2 - Probability
Finding the Probability with Two Dice
Odds in Different Cases
Odds When Drawing Cards
Draw Venn Diagrams
Mutually Exclusive Or Not - Determine Probability
Probability Word Problem 1
Probability Using Counting Techniques
Probability - Challenging Word Problem
Probability In Selecting a Committee 1
Probability in Selecting a Committee 2
Back up to the top
UNIT 3 - Probability Distributions
Probability Distributions - Calculating the Expected Value
Probability Distributions - Comparing Expectations
Binomial Distribution Table
Binomial Distribution Word Problem 1
Binomial Distribution Word Problem 2
HyperGeometric Distribution Table
Hypergeometric Distribution Word Problem 1
HyperGeometric Distribution Word Problem 2
Back up to the top
UNIT 4 - Organizing of Data for Analysis
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Types of Sampling
Four Types of Bias
Back up to the top
UNIT 5 - One Variable Stats
Calculating Mean Median and Mode by Hand
Calculate Mean Median and Mode for Grouped Data
Calculate Mean for Weighted Data
Definitions and Explanations of 1 Variable Statistics Terms
Calculate Quartiles
Draw a Box and Whisker Plot
Draw a Histogram
Calculate Standard Deviation by Hand
Calculate Standard Deviation for Grouped Data
Calculate Mean Median and Mode Using Excel
Calculate Mean Median and Mode Using Google Spreadsheets
Calculate Mean Median and Mode Using Open Office
Calculating 1 Variable Statistics Using Excel
Calculating 1 Variable Statistics Using Google Spreadsheets
Calculating 1 Variable Statistics Using Open Office
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Back up to the top
UNIT 6 - Two Variable Stats
Correlation Coefficient
Calculate Correlation Coefficient by Hand
Calculate Line of Best Fit by Hand
Creating a Line of Best Fit in Excel
Creating a Line of Best Fit in Google Spreadsheets
Creating a Line of Best Fit in Open Office
Determine the Equation for a Line of Best Fit
Selecting the Best Regression Using Desmos
Sketch a Line of Best Fit
Back up to the top
UNIT 7 - Normal Distribution
Normal Distribution - Determine Probability Using Z-Scores
Constructing a Confidence Interval
Back up to the top
Mr. Bergman's MHF4U Videos:
Back up to the top
Unit 0 - Review
Adding Like Terms
Adding and Subtracting Fractions
Adding And Subtracting Rational Expressions
Adding And Subtracting Polynomials
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Common Factoring
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Determine the Equation for a Line of Best Fit
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Expanding Using FOIL
Expanding Using Foil Two Ways
Exponential Decay
Exponential Growth
Evaluating Function Notation
Evaluating Cosine Law for an Angle
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Finding the Slope, Distance and Midpoint of a Line Segment
Find A Quadratic Equation Given Two Zeroes And A Point
Graphing the Parent Function - Line and Quadratic
Graphing Using Step Pattern
Is It a Function or Not And Domain and Range
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Multiplying and Dividing Fractions
Multiplying And Dividing Rational Expressions
Multiplying Polynomials
Multiplying Three Binomials Together
Operations With Radicals
Pythagorean Theorem
Quadratic - Table and Equation
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Solving a Linear System by Elimination
Solving a Linear System by Substitution
Solving Quadratics of Any Form
Solving A Word Problem Using Quadratic Formula
Special Triangles in Degrees
State The Transformations Given Vertex Form
Solve for Theta in Degree Mode - Two Possible Answers
Using Binomial Theorem
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Transformations of an Exponential
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Back up to the top
UNIT 1 - Introductory Unit
Drawing a Function From Information Given
Evaluating Function Notation
Even and Odd Functions
Function Properties Exponential Parent Function
Function Properties Reciprocal Parent Function
Function Terminology
Graphing the Parent Function - Exponential and Square Root
Graphing the Parent Function - Reciprocal Function
Graphing the Parent Function - Sine and Cosine
Graphing a Transformed Sine Wave
Identifying The Properties Of A Sine Wave
Is It a Function or Not And Domain and Range
Transformations of a Parabola
Inverse A Function Two Ways
Back up to the top
UNIT 2 - Polynomial Functions
Characteristics of Polynomials in Factored Form
Dividing a Cubic Using Long Division
Dividing a Cubic Using Synthetic Division
Finding a Cubic's Zeroes Using Synthetic Division
Factor a Quartic Polynomial
Factor a Cubic Polynomial by Common Factoring First
Factor and Solve a Quartic Polynomial With Terms Missing
Common Factoring (Grade 11 Factoring)
Factoring and Solve - Simple Quadratic (Grade 11 Factoring)
Factoring - Difference of Squares (Grade 11 Factoring)
Factoring Perfect Squares (Grade 11 Factoring)
Factoring Using Bergman Technique (Grade 11 Factoring)
Factoring Using Chart Method (Grade 11 Factoring)
Factoring Using Decomposition (Grade 11 Factoring)
Factor with Two Variables (Grade 11 Factoring)
Factor a Polynomial and Sketch It
Determine The Missing Coefficients Of A Polynomial
Graphing the Parent Function - Line and Quadratic
Graphing the Parent Function - Cubic and Quartic
Graphing the Parent Function - Quintic
Graphing a Transformed Cubic
Properties of a Polynomial - Cubic
Properties of a Polynomial - Quartic
Sketch And Find The Equation Of A Polynomial Given Its Zeroes And A Point
Back up to the top
UNIT 3 - Polynomial Equations and Inequalities
Graphing the Parent Function - Cubic and Quartic
Graphing the Parent Function - Quintic
Factor a Polynomial and Sketch It
Factor a Cubic Polynomial by Common Factoring First
Factor and Solve a Quartic Polynomial With Terms Missing
Finding a Cubic's Zeroes Using Synthetic Division
Solving an Inequality
Solving a Double Inequality
Solving A Polynomial Inequality
Solving A Polynomial Inequality Quartic
Calculating AROC on a Polynomial Function
Calculating IROC on a Polynomial Function
Determine AROC for a Polynomial
Determine IROC for a Polynomial
Back up to the top
UNIT 4 - Rational Functions
Graphing a Linear Reciprocal Function
Graphing the Reciprocal of a Quadratic Function With Two Zeroes
Graphing the Reciprocal of a Quadratic Function With One Zero
Graphing the Reciprocal of a Quadratic Function With No Zeroes
Graphing the Parent Function - Reciprocal Function
Graph a Rational Function in the Form f(x) = (ax + b)/(cx + d)
Graph a Rational Function With a Hole
Solving a Rational Equality
Solving a Rational Inequality
Calculating AROC and IROC on Rational Functions
Back up to the top
UNIT 5 - Trigonometric Functions
Convert Degrees to Radians
Convert Radians to Degrees
Determine the Exact Value of Trig Functions (Original in Degrees)
Determine the Exact Value of Trig Functions in Degrees
Determine the Exact Value of Trig Functions in Radians
Graphing a Transformed Sine Wave
Graphing a Transformed Sine Wave in Radians
Graphing the Parent Function - Sine and Cosine
Identifying The Properties Of A Sine Wave
Identifying the Properties of a Sine Wave in Radians
Modelling with Trig Functions
Special Triangles in Degrees
Special Triangles in Radians
Properties of Reciprocal (Secondary) Trig Functions
Back up to the top
UNIT 6 - Trigonometric Identities and Equations
Using Compound Angle Formulae
Using Double Angle Formulae
Proving Trig Identities 1
Proving Trig Identities 2
Proving Trig Identities 3: p417 9a to 9d
Proving Trig Identities 4: p417 10a to 10e
Proving Trig Identities 5: p417 11a to 11f
Proving Trig Identities 6: p417 11g to 11l
Solving Linear Trig Equations
Solving a Linear Trigonometric Equation Where the Period Changes
Solving a Trigonometric Word Problem Using Substitution (p428 #12)
Solving Quadratic Trig Equations
Back up to the top
UNIT 7 - Exponential and Logarithmic Functions
Exponential Table And Graph
Exponential Decay
Exponential Growth
Transformations of an Exponential
Graphing the Parent Function - Exponential and Square Root
Solving an Exponential Word Problem
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Graphing the Parent Function - Exponential and Logarithm
Rules Of Logarithms
Evaluating Logarithms
Laws Of Logarithms
Laws Of Logarithms 2
Logarithms – Solving an Exponential Equation Two Ways (p485 5e)
Logarithms - Solving Exponential Equations by Factoring (p486 8a,8e)
Logarithms - Solving Exponential Equations by Logging Both Sides (p486 10c)
Logarithms - Solving by Substitution (p486 12)
Logarithms - Solve by Dropping the Logs and Solving a Quadratic (p491 7d)
Solving An Exponential Word Problem Using Logarithms
Logarithms - Solve When Exponent in Exponential Equation is Negative (p510 12a)
Back up to the top
UNIT 8 - Combining Functions
Composite Functions Creating New Equations
Sum and Difference of Functions
Product and Quotient of Functions
Composite Functions 1
Composite Functions 2 - Domain and Range
Back up to the top
Mr. Bergman's MCV4U Videos:
Back up to the top
Unit 0 - Review
Adding Like Terms
Adding and Subtracting Fractions
Adding And Subtracting Rational Expressions
Adding And Subtracting Polynomials
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Common Factoring
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Determine the Equation for a Line of Best Fit
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Expanding Using FOIL
Expanding Using Foil Two Ways
Exponential Decay
Exponential Growth
Evaluating Function Notation
Evaluating Cosine Law for an Angle
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Finding Slope Distance And Midpoint Of A Line Segment
Find A Quadratic Equation Given Two Zeroes And A Point
Graphing a Transformed Sine Wave
Is It a Function or Not and Domain and Range
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Multiplying and Dividing Fractions
Multiplying And Dividing Rational Expressions
Multiplying Polynomials
Mulitiplying Three Binomials Together
Operations With Radicals
Pythagorean Theorem
Quadratic - Table and Equation
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Solving a Linear System by Elimination
Solving a Linear System by Substitution
Solving a Linear System Word Problem Using Substitution
Solving a Linear System Word Problem Using Elimination
Solving Quadratics of Any Form
Solving A Word Problem Using Quadratic Formula
State The Transformations Given Vertex Form
Solve for Theta in Degree Mode - Two Possible Answers
Special Triangles in Degrees
Special Triangles in Radians
Transformations of a Parabola
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Using Binomial Theorem
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
VECTORS
UNIT 1 - Introduction to Vector Concepts
Find the Sum of Two Vectors Given Their Magnitude and the Angle Between Them (p133 4a)
Find the Tension in Each Rope (p142 13)
Find the Forces Parallel and Perpendicular to Gravity (p142 18a)
Determine a Plane's Ground Velocity (p149 6a)
Express a Vector as an Algebraic Vector (p166 6c)
Write an Algebraic Vector as a Geometric Vector (p167 7a)
Plot a 3d Vector (p168 12a)
UNIT 2 - Dot and Cross Product of Vectors
Dot Product (p178 4a)
Find Non-Collinear Vectors Perpendicular to a 3D Vector (p178 6)
Cross Product (p185 4c)
Calculate Work Done (p192 16)
Back up to the top
UNIT 3 - Equations of Lines and Planes
Find the Scalar Equation of a Line Given a Point and a Normal Vector (p251 3a)
Find the Scalar Equation of a Line Given the Vector Equation (p251 6)
Determine if Two Vector Equations of a Line are Parallel, Equal or Neither (p256 9a)
Graphing a Plane Using Intercepts
Find Vector and Parametric Equations of a Plane that Contains a Specific Line and Not the Z-Axis (p279 11)
Find the Scalar Equation of a Plane Given its Vector Equation (p285 5d)
Find the Scalar Equation of a Plane Passing Through Three Given Points (p285 7a)
UNIT 4 - Intersections of Lines and Planes
Intersection of a Line and a Plane
Intersection of Two Lines in 3-Space
Intersection of Two Planes in a Line
Intersection of Three Planes No Solution
Intersection of Three Planes At a Single Point
Intersection Of Three Planes Line Of Intersection
Distance Between a Point and a Line in 3-Space
CALCULUS
Links
Online Derivative Calculator - Wolfram
Back up to the top
UNIT 0 - Rates of Change
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
UNIT 1 - Exploring Derivatives Part 1
The Derivative of a Polynomial
Find the Equation of the Tangent Using First Principles on a Polynomial
Find the Equation of the Tangent Line
Using Binomial Theorem
Determine the Derivative of a Rational Function
Find the Equation of the Tangent Using First Principles on a Rational Function
Back up to the top
UNIT 2 - Exploring Derivatives Part 2
The Derivative of a Polynomial
Using Product Rule
Using Chain Rule
Determine the Derivative of a Rational Function
UNIT 3 - Curve Sketching
Determine the Derivative of a Rational Function
Sketch the Curve of a Parabola Using Derivatives
Curve Sketching a Rational Function Using Derivatives
Back up to the top
UNIT 4 - Rates of Change & Optimization
Rates of Change - Distance, Velocity and Acceleration
Rates of Change - Max and Min
Optimization with Derivatives 1
Optimization with Derivatives 2
List of videos by topic:
Back up to the top
Calculus
UNIT 0 - Rates of Change
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
UNIT 1 - Exploring Derivatives Part 1
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
The Derivative of a Polynomial
Find the Equation of the Tangent Using First Principles on a Polynomial
Find the Equation of the Tangent Using First Principles on a Rational Function
Find the Equation of the Tangent Line
Determine the Derivative of a Rational Function
UNIT 2 - Exploring Derivatives Part 2
Determine the Derivative of a Rational Function
Multiplying Three Binomials Together
Using Binomial Theorem
The Derivative of a Polynomial
Using Product Rule
Using Chain Rule
UNIT 3 - Curve Sketching
Determine the Derivative of a Rational Function
Sketch the Curve of a Parabola Using Derivatives
Curve Sketching a Rational Function Using Derivatives
UNIT 4 - Rates of Change & Optimization
Rates of Change - Distance, Velocity and Acceleration
Rates of Change - Max and Min
Optimization with Derivatives 1
Optimization with Derivatives 2
Back up to the top
Combinations
Using the Fundamental Counting Principle
Binomial Theorem Using Combinations
Determine Combinations
Problem Solving with Combinations
Draw Venn Diagrams
Combinations Word Problem
Determine the Number of Divisors
Number of Ways - When to Use What
Back up to the top
Combining Functions
Composite Functions Creating New Equations
Sum and Difference of Functions
Product and Quotient of Functions
Composite Functions 1
Composite Functions 2 - Domain and Range
Data Management
UNIT 1 - Organizing of Data for Analysis
Calculating Mean Median and Mode by Hand
Calculating 1 Var Stats Using the TI-83
Correlation Coefficient
Four Types of Bias
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Types of Sampling
Back up to the top
UNIT 2 - One Variable Stats
Calculate Mean Median and Mode Using Excel
Calculate Mean Median and Mode Using Google Spreadsheets
Calculate Mean Median and Mode Using Open Office
Calculating 1 Variable Statistics Using Excel
Calculating 1 Variable Statistics Using Google Spreadsheets
Calculating 1 Variable Statistics Using Open Office
Creating a Line of Best Fit in Excel
Creating a Line of Best Fit in Google Spreadsheets
Creating a Line of Best Fit in Open Office
Calculate Quartiles
Calculate Mean Median and Mode for Grouped Data
Calculating Mean Median and Mode by Hand
Calculate Mean for Weighted Data
Calculate Standard Deviation by Hand
Calculate Standard Deviation for Grouped Data
Calculating 1 Var Stats Using the TI-83
Definitions and Explanations of 1 Variable Statistics Terms
Draw a Box and Whisker Plot
Draw a Histogram
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Back up to the top
UNIT 3 - Two Variable Stats
Calculate Correlation Coefficient by Hand
Calculate Line of Best Fit by Hand
Determine the Equation for a Line of Best Fit
LinReg - Getting a Line of Best Fit on the TI83
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Selecting the Best Regression Using Desmos
Sketch a Line of Best Fit
Using Fathom
Back up to the top
UNIT 4 - Permutations
Using the Fundamental Counting Principle
Determine Permutations
Determine Permutations with Like Objects
Drawing Tree Diagrams
Permutations - Rule of Sum
Permutations - Indirect Method
Permutations - Counting the Number of Paths
Working with Pascal's Triangle
Back up to the top
UNIT 5 - Combinations
Draw Venn Diagrams
Using the Fundamental Counting Principle
Determine Combinations
Problem Solving with Combinations
Using Binomial Theorem
Binomial Theorem Using Combinations
Combinations Word Problem
Determine the Number of Divisors
Number of Ways - When to Use What
Back up to the top
UNIT 6 - Probability
Finding the Probability with Two Dice
Number of Ways - When to Use What
Mutually Exclusive Or Not - Determine Probability
Probability Word Problem 1
Odds in Different Cases
Odds When Drawing Cards
Probability - Challenging Word Problem
Probability In Selecting a Committee 1
Probability in Selecting a Committee 2
Probability Using Counting Techniques
Back up to the top
UNIT 7 - Probability Distributions
Binomial Distribution Table
Binomial Distribution Word Problem 1
Binomial Distribution Word Problem 2
Geometric Distribution Table
Geometric Distribution Word Problem 1
HyperGeometric Distribution Table
Hypergeometric Distribution Word Problem 1
HyperGeometric Distribution Word Problem 2
Probability Distributions - Calculating the Expected Value
Probability Distributions - Comparing Expectations
UNIT 8 - Normal Distribution
Compare Normal Approximation to Binomial Distribution
Constructing a Confidence Interval
Normal Approximation to the Binomial Distribution
Normal Distribution - Determine Probability Using Z-Scores
Back up to the top
Exponents and Exponential Functions
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Exponential Table And Graph
Exponential Decay
Exponential Growth
Function Properties Exponential Parent Function
Solving Exponential Equations 1
Solving Exponential Equations 2
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Exponents - Power of a Power and Negative Exponents
Graphing the Parent Function - Exponential and Square Root
Graphing the Parent Function - Exponential and Logarithm
Solving Exponential Equations
Solving An Exponential Word Problem
Solving An Exponential Word Problem Using Logarithms
Solving an Exponential Word Problem Using Guess and Check
Transformations of an Exponential
Back up to the top
Factoring Quadratics
Common Factoring
Factor a Polynomial and Sketch It
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Back up to the top
Functions in General
Determine AROC for a Polynomial
Determine IROC for a Polynomial
Drawing a Function from Information Given
Evaluating Function Notation
Even and Odd Functions
Function Properties Exponential Parent Function
Function Properties Reciprocal Parent Function
Function Terminology
Graphing the Parent Function - Reciprocal Function
Graphing the Parent Function - Cubic and Quartic
Graphing the Parent Function - Exponential and Square Root
Graphing the Parent Function - Line and Quadratic
Graphing the Parent Function - Exponential and Logarithm
Graphing the Parent Function - Sine and Cosine
Inverse A Function Two Ways
Is It a Function or Not and Domain and Range
Back up to the top
Finance
Annuities Finding Future Value
Annuities Finding Present Value
Annuities Finding Number of Years Future Value
Annuities Finding PMT for Present Value
Calculating Payments for a Loan with a Down Payment Online
Calculating EI, CPP, Taxes and Net Income (older version)
Compound Interest Future Value
Compound Interest Present Value
Estimating Net Income in Ontario Around 2020
Making a Monthly Budget
Renting vs. Buying
Revising a Monthly Budget
Working with Annuities Online - Future Value
Working with Annuities Online - Present Value
Back up to the top
Geometry
Finding the Area of Composite Shapes
Finding the Area of Composite Shapes 2
Pythagorean Theorem
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
Inequalities
Solving a Double Inequality
Solving an Inequality
Solving A Polynomial Inequality
Solving A Polynomial Inequality Quartic
Solving a Rational Inequality
Back up to the top
Linear Equations and Linear Functions
Adding Like Terms
Creating a Line of Best Fit in Excel
Creating a Line of Best Fit in Google Spreadsheets
Creating a Line of Best Fit in Open Office
Determine the Equation for a Line of Best Fit
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Finding Slope Distance And Midpoint Of A Line Segment
Graphing the Parent Function - Line and Quadratic
Intersection Of A Line And A Quadratic
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Selecting the Best Regression Using Desmos
Sketch a Line of Best Fit
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Solving a Linear System by Elimination
Solving a Linear System by Substitution
Solving a Linear System Word Problem Using Elimination
Solving a Linear System Word Problem Using Substitution
Solving Linear Trig Equations
Using Fathom
Back up to the top
Logarithms and Logarithmic Functions
Evaluating Logarithms
Graphing the Parent Function - Exponential and Logarithm
Laws Of Logarithms
Laws Of Logarithms 2
Logarithms – Solving a Difficult Exponential Equation
Logarithms - Solve by Dropping the Logs and Solving a Quadratic
Logarithms – Solving an Exponential Equation Two Ways
Logarithms - Solving Exponential Equations by Factoring
Logarithms - Solving Exponential Equations by Logging Both Sides
Logarithms - Solving by Substitution
Logarithms - Solve When Exponent in Exponential Equation is Negative
Rules Of Logarithms
Solving An Exponential Word Problem Using Logarithms
Back up to the top
Numeracy
Adding Like Terms
Adding and Subtracting Fractions
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Common Factoring
Conversions Including 2D and 3D
Multiplying and Dividing Fractions
Periodic Functions
Graphing the Parent Function - Sine and Cosine
Graphing a Transformed Sine Wave
Graphing a Transformed Sine Wave in Radians
Identifying The Properties Of A Sine Wave
Modelling with Trig Functions
Solving Linear Trig Equations
Solving Quadratic Trig Equations
Solving a Trigonometric Word Problem Using Substitution
Properties of Reciprocal (Secondary) Trig Functions
Back up to the top
Permutations
Using the Fundamental Counting Principle
Determine Permutations
Determine Permutations with Like Objects
Draw Venn Diagrams
Drawing Tree Diagrams
Permutations - Counting the Number of Paths
Permutations - Rule of Sum
Permutations - Indirect Method
Back up to the top
Polynomials and Polynomial Functions
Adding And Subtracting Polynomials
Characteristics of Polynomials in Factored Form
Determine AROC for a Polynomial
Determine IROC for a Polynomial
Determine The Missing Coefficients Of A Polynomial
Dividing a Cubic Using Long Division
Dividing a Cubic Using Synthetic Division
Even and Odd Functions
Expanding Using FOIL
Expanding Using Foil Two Ways
Factor and Solve a Quartic Polynomial With Terms Missing
Factor a Quartic Polynomial
Factor a Cubic Polynomial by Common Factoring First
Factor a Polynomial and Sketch It
Finding a Cubic's Zeroes Using Synthetic Division
Graphing the Parent Function - Cubic and Quartic
Graphing the Parent Function - Quintic
Graphing a Transformed Cubic
Multiplying Polynomials
Multiplying Three Binomials Together
Properties of a Polynomial - Cubic
Properties of a Polynomial - Quartic
Sketch And Find The Equation Of A Polynomial Given Its Zeroes And A Point
Solving A Polynomial Inequality
Solving A Polynomial Inequality Quartic
Using Binomial Theorem
Binomial Theorem Using Combinations
Calculating AROC on a Polynomial Function
Calculating IROC on a Polynomial Function
Back up to the top
Quadratic Functions (also see "Factoring Quadratics")
Common Factoring
Completing the Square - Converting Standard Form to Vertex Form
Convert Vertex Form To Standard Form Two Ways
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Find A Quadratic Equation Given Two Zeroes And A Point
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Graphing the Parent Function - Line and Quadratic
Graphing the Reciprocal of a Quadratic Function With No Zeroes
Graphing the Reciprocal of a Quadratic Function With One Zero
Graphing the Reciprocal of a Quadratic Function With Two Zeroes
Graphing Using Step Pattern
Inverse A Function Two Ways
Intersection Of A Line And A Quadratic
Quadratic - Table and Equation
Solving Quadratics of Any Form
Solving Quadratic Trig Equations
Solving A Word Problem Using Quadratic Formula
Solving a Profit Word Problem by Completing the Square
Solving a Revenue Word Problem Using Quadratic Formula
State The Transformations Given Vertex Form
Transformations of a Parabola
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
Radicals
Operations With Radicals
Rational Functions
Adding And Subtracting Rational Expressions
Calculating AROC and IROC on Rational Functions
Determine the Derivative of a Rational Function
Graphing the Parent Function - Reciprocal Function
Graph a Rational Function in the Form f(x) = (ax + b)/(cx + d)
Graph a Rational Function With a Hole
Graphing the Reciprocal of a Quadratic With Two Zeroes
Graphing the Reciprocal of a Quadratic With One Zero
Graphing the Reciprocal of a Quadratic With No Zeroes
Multiplying and Dividing Fractions
Multiplying And Dividing Rational Expressions
Simplifying Rational Expressions
Solving a Rational Equality
Solving a Rational Inequality
Back up to the top
Sequences and Series
Sequences: Determining the General Term in an Arithmetic Sequence Given Limited Info
Sequences: Determining the General Term in an Geometric Sequence Given Limited Info
Finding the Sum of a Series
Back up to the top
Statistics
Calculate Mean Median and Mode Using Excel
Calculate Mean Median and Mode Using Google Spreadsheets
Calculate Mean Median and Mode Using Open Office
Calculating 1 Variable Statistics Using Excel
Calculating 1 Variable Statistics Using Google Spreadsheets
Calculating 1 Variable Statistics Using Open Office
Creating a Line of Best Fit in Excel
Creating a Line of Best Fit in Google Spreadsheets
Creating a Line of Best Fit in Open Office
Calculate Correlation Coefficient by Hand
Calculating Mean Median and Mode by Hand
Calculate Line of Best Fit by Hand
Calculating 1 Var Stats Using the TI-83
Calculate Mean for Weighted Data
Calculate Mean Median and Mode for Grouped Data
Calculate Quartiles
Calculate Standard Deviation by Hand
Calculate Standard Deviation for Grouped Data
Correlation Coefficient
Definitions and Explanations of 1 Variable Statistics Terms
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Draw a Box and Whisker Plot
Draw a Histogram
Four Types of Bias
LinReg - Getting a Line of Best Fit on the TI83
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Open and Closed Questions
Selecting the Best Regression Using Desmos
TYPED - Causation, Correlation and Accidental
TYPED - Introduction to Sampling and Bias
TYPED - Making Unbiased Surveys
TYPED - Mean, Median and Mode
TYPED - Standard Deviation, Quartiles and Outliers
Types of Sampling
Using Fathom
Back up to the top
Trigonometry
Convert Degrees to Radians
Convert Radians to Degrees
Determine the Exact Value of Trig Functions (Original in Degrees)
Determine the Exact Value of Trig Functions in Degrees
Determine the Exact Value of Trig Functions in Radians
Evaluating Cosine Law for an Angle
Graphing the Parent Function - Sine and Cosine
Graphing a Transformed Sine Wave
Identifying The Properties Of A Sine Wave
Identifying the Properties of a Sine Wave in Radians
Modelling with Trig Functions
Properties of Reciprocal (Secondary) Trig Functions
Proving Trig Identities 1
Proving Trig Identities 2
Proving Trig Identities 3: p417 9a to 9d
Proving Trig Identities 4: p417 10a to 10e
Proving Trig Identities 5: p417 11a to 11f
Proving Trig Identities 6: p417 11g to 11l
Pythagorean Theorem
Solve for Theta in Degree Mode - Two Possible Answers
Solving a 3D Trig Problem
Solving Linear Trig Equations
Solving a Linear Trigonometric Equation Where the Period Changes
Solving a Quadratic Trigonometric Equation
Solving a Trigonometric Word Problem Using Substitution
Solving Triangles What Law To Use
Solving A Trigonometry Word Problem That Has Conversions
Special Triangles in Degrees
Special Triangles in Radians
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
Trig Identities for Grade 11
Using Cosine Law to Determine a Side
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Back up to the top
Vectors
UNIT 1 - Introduction to Vector Concepts
Find the Sum of Two Vectors Given Their Magnitude and the Angle Between Them (p133 4a)
Find the Tension in Each Rope (p142 13)
Find the Forces Parallel and Perpendicular to Gravity (p142 18a)
Determine a Plane's Ground Velocity (p149 6a)
Express a Vector as an Algebraic Vector (p166 6c)
Write an Algebraic Vector as a Geometric Vector (p167 7a)
Plot a 3d Vector (p168 12a)
UNIT 2 - Dot and Cross Product of Vectors
Dot Product (p178 4a)
Find Non-Collinear Vectors Perpendicular to a 3D Vector (p178 6)
Cross Product (p185 4c)
Calculate Work Done (p192 16)
UNIT 3 - Equations of Lines and Planes
Find the Scalar Equation of a Line Given a Point and a Normal Vector (p251 3a)
Find the Scalar Equation of a Line Given the Vector Equation (p251 6)
Determine if Two Vector Equations of a Line are Parallel, Equal or Neither (p256 9a)
Graphing a Plane Using Intercepts
Find Vector and Parametric Equations of a Plane that Contains a Specific Line and Not the Z-Axis (p279 11)
Find the Scalar Equation of a Plane Given its Vector Equation (p285 5d)
Find the Scalar Equation of a Plane Passing Through Three Given Points (p285 7a)
UNIT 4 - Intersections of Lines and Planes
Intersection of a Line and a Plane
Intersection of Two Lines in 3-Space
Intersection of Two Planes in a Line
Intersection of Three Planes No Solution
Intersection of Three Planes At a Single Point
Intersection Of Three Planes Line Of Intersection
Distance Between a Point and a Line in 3-Space
Back up to the top
List of all videos alphabetically:
Back up to the top
A
Adding and Subtracting Fractions
Adding And Subtracting Rational Expressions
Adding And Subtracting Polynomials
Annuities Finding Future Value
Annuities Finding Present Value
Annuities Finding Number of Years Future Value
Annuities Finding PMT for Present Value
Adding Like Terms
Back up to the top
B
BEDMAS 1 With Integers
BEDMAS 2 With Fractions
Binomial Theorem Using Combinations
Binomial Distribution Table
Binomial Distribution Word Problem 1
Binomial Distribution Word Problem 2
C
Calculate Correlation Coefficient by Hand
Calculate Line of Best Fit by Hand
Calculate Mean Median and Mode Using Excel
Calculate Mean Median and Mode Using Google Spreadsheets
Calculate Mean Median and Mode Using Open Office
Calculate Mean for Weighted Data
Calculate Mean Median and Mode for Grouped Data
Calculate Quartiles
Calculate Standard Deviation by Hand
Calculate Standard Deviation for Grouped Data
Calculate Work Done (p192 16)
Calculating 1 Variable Statistics Using Excel
Calculating 1 Variable Statistics Using Google Spreadsheets
Calculating 1 Variable Statistics Using Open Office
Calculating Mean Median and Mode by Hand
Calculating 1 Var Stats Using the TI-83
Calculating Payments for a Loan with a Down Payment Online
Calculating EI, CPP, Taxes and Net Income (order version)
Calculating AROC on a Polynomial Function
Calculating IROC on a Polynomial Function
Calculating AROC and IROC on Rational Functions
TYPED - Causation, Correlation and Accidental
Characteristics of Polynomials in Factored Form
Combinations Word Problem
Common Factoring
Completing the Square - Converting Standard Form to Vertex Form
Compare Normal Approximation to Binomial Distribution
Composite Functions Creating New Equations
Composite Functions 1
Composite Functions 2 - Domain and Range
Compound Interest Future Value
Compound Interest Present Value
Constructing a Confidence Interval
Convert Degrees to Radians
Convert Radians to Degrees
Convert Vertex Form To Standard Form Two Ways
Conversions Including 2D and 3D
Correlation Coefficient
Creating a Line of Best Fit in Excel
Creating a Line of Best Fit in Google Spreadsheets
Creating a Line of Best Fit in Open Office
Cross Product (p185 4c)
Curve Sketching a Rational Function Using Derivatives
Back up to the top
D
Definitions and Explanations of 1 Variable Statistics Terms
The Derivative of a Polynomial
Determine AROC for a Polynomial
Determine IROC for a Polynomial
Determine Combinations
Determine the Derivative of a Rational Function
Determine the Equation for a Line of Best Fit
Determine The Missing Coefficients Of A Polynomial
Determine Permutations
Determine Permutations with Like Objects
Determine the Exact Value of Trig Functions (Original in Degrees)
Determine the Exact Value of Trig Functions in Degrees
Determine the Exact Value of Trig Functions in Radians
Determine the Best Equation Type For Data (Picking between LinReg, QuadReg and ExpReg)
Determine the Number of Divisors
Determine a Plane's Ground Velocity (p149 6a)
Determine if Two Vector Equations of a Line are Parallel, Equal or Neither (p256 9a)
Distance Between a Point and a Line in 3-Space
Dividing a Cubic Using Long Division
Dividing a Cubic Using Synthetic Division
Dot Product (p178 4a)
Draw a Box and Whisker Plot
Drawing a Function from Information Given
Draw a Histogram
Drawing Tree Diagrams
Draw Venn Diagrams
Back up to the top
E
Estimating Net Income in Ontario Around 2020
Evaluating Cosine Law for an Angle
Evaluating Exponents Negative And Fraction Exponents
Evaluating Exponents Negatives, Fractions And More
Evaluating Function Notation
Evaluating Logarithms
Even and Odd Functions
Expanding Using FOIL
Expanding Using Foil Two Ways
Exponential Decay
Exponential Growth
Exponents - Multiplying or Dividing by the Same Base and Zero Exponent
Express a Vector as an Algebraic Vector (p166 6c)
Exponential Table And Graph
Exponents - Power of a Power and Negative Exponents
Back up to the top
F
Factor a Polynomial and Sketch It
Factor and Solve a Quartic Polynomial With Terms Missing
Factor a Quartic Polynomial
Factor a Cubic Polynomial by Common Factoring First
Factoring and Solve - Simple Quadratic
Factoring - Difference of Squares
Factoring Perfect Squares
Factoring Using Bergman Technique
Factoring Using Chart Method
Factoring Using Decomposition
Factor with Two Variables
Finding the Area of Composite Shapes
Finding the Area of Composite Shapes 2
Find Min/Max Word Problem Using Complete the Square
Find the Vertex Two Ways
Find the Forces Parallel and Perpendicular to Gravity (p142 18a)
Find the Sum of Two Vectors Given Their Magnitude and the Angle Between Them (p133 4a)
Find the Tension in Each Rope (p142 13)
Find Non-Collinear Vectors Perpendicular to a 3D Vector (p178 6)
Find the Scalar Equation of a Line Given a Point and a Normal Vector (p251 3a)
Find the Scalar Equation of a Line Given the Vector Equation (p251 6)
Find Vector and Parametric Equations of a Plane that Contains a Specific Line and Not the Z-Axis (p279 11)
Find the Scalar Equation of a Plane Given its Vector Equation (p285 5d)
Find the Scalar Equation of a Plane Passing Through Three Given Points (p285 7a)
Find the Equation of the Tangent Using First Principles on a Polynomial
Find the Equation of the Tangent Using First Principles on a Rational Function
Find the Equation of the Tangent Line
Finding the Probability with Two Dice
Finding the Sum of a Series
Finding the Area of Composite Shapes 2
Finding a Cubic's Zeroes Using Synthetic Division
Find A Quadratic Equation Given Two Zeroes And A Point
Finding Slope Distance And Midpoint Of A Line Segment
Four Types of Bias
Function Properties Exponential Parent Function
Function Properties Reciprocal Parent Function
Function Terminology
Back up to the top
G
Graphing a Linear Reciprocal Function
Graphing the Parent Function - Reciprocal Function
Graphing the Parent Function - Cubic and Quartic
Graphing the Parent Function - Exponential and Square Root
Graphing the Parent Function - Exponential and Logarithm
Graphing the Parent Function - Line and Quadratic
Graphing the Parent Function - Quintic
Graphing the Parent Function - Sine and Cosine
Graphing Using Step Pattern
Graphing a Plane Using Intercepts
Graph a Rational Function in the Form f(x) = (ax + b)/(cx + d)
Graph a Rational Function With a Hole
Graphing the Reciprocal of a Quadratic Function With No Zeroes
Graphing the Reciprocal of a Quadratic Function With One Zero
Graphing the Reciprocal of a Quadratic Function With Two Zeroes
Graphing a Transformed Cubic
Graphing a Transformed Sine Wave
Graphing a Transformed Sine Wave in Radians
Geometric Distribution Table
Geometric Distribution Word Problem 1
Back up to the top
H
HyperGeometric Distribution Table
Hypergeometric Distribution Word Problem 1
HyperGeometric Distribution Word Problem 2
I
Identifying The Properties Of A Sine Wave
Identifying the Properties of a Sine Wave in Radians
Inverse A Function Two Ways
Intersection of a Line and a Plane
Intersection of Two Lines in 3-Space
Intersection of Two Planes in a Line
Intersection of Three Planes No Solution
Intersection of Three Planes At a Single Point
Intersection Of Three Planes Line Of Intersection
TYPED - Introduction to Sampling and Bias
Is It a Function or Not and Domain and Range
Intersection Of A Line And A Quadratic
J
K
Back up to the top
L
Laws Of Logarithms
Laws Of Logarithms 2
Linear - Table Introduction
Linear - Table and Equation
LinReg - Getting a Line of Best Fit on the TI83
Logarithms – Solving a Difficult Exponential Equation
Logarithms - Solve by Dropping the Logs and Solving a Quadratic
Logarithms – Solving an Exponential Equation Two Ways
Logarithms - Solving Exponential Equations by Factoring
Logarithms - Solving Exponential Equations by Logging Both Sides
Logarithms - Solving by Substitution
Logarithms - Solve When Exponent in Exponential Equation is Negative
Back up to the top
M
Making a Bar Graph in Google Sheets
Making a Line Graph in Google Sheets
Making a Pie Graph in Google Sheets
Making a Monthly Budget
TYPED - Making Unbiased Surveys
TYPED - Mean, Median and Mode
Modelling with Trig Functions
Multiplying and Dividing Fractions
Multiplying And Dividing Rational Expressions
Multiplying Polynomials
Multiplying Three Binomials Together
Mutually Exclusive Or Not - Determine Probability
N
Normal Approximation to the Binomial Distribution
Normal Distribution - Determine Probability Using Z-Scores
Number of Ways - When to Use What
O
Odds in Different Cases
Odds When Drawing Cards
Open and Closed Questions
Operations With Radicals
Optimization with Derivatives 1
Optimization with Derivatives 2
P
Permutations - Counting the Number of Paths
Permutations - Indirect Method
Permutations - Rule of Sum
Plot a 3d Vector (p168 12a)
Probability - Challenging Word Problem
Probability Distributions - Calculating the Expected Value
Probability Distributions - Comparing Expectations
Probability In Selecting a Committee 1
Probability in Selecting a Committee 2
Probability Using Counting Techniques
Probability Word Problem 1
Problem Solving with Combinations
Product and Quotient of Functions
Properties of a Polynomial - Cubic
Properties of a Polynomial - Quartic
Properties of Reciprocal (Secondary) Trig Functions
Proving Trig Identities 1
Proving Trig Identities 2
Proving Trig Identities 3: p417 9a to 9d
Proving Trig Identities 4: p417 10a to 10e
Proving Trig Identities 5: p417 11a to 11f
Proving Trig Identities 6: p417 11g to 11l
Pythagorean Theorem
Back up to the top
Q
Quadratic - Table and Equation
R
Rates of Change - Distance, Velocity and Acceleration
Rates of Change - Max and Min
Renting vs. Buying
Revising a Monthly Budget
Rules Of Logarithms
Back up to the top
S
Sequences: Determining the General Term in an Arithmetic Sequence Given Limited Info
Sequences: Determining the General Term in an Geometric Sequence Given Limited Info
Selecting the Best Regression Using Desmos
Sketch the Curve of a Parabola Using Derivatives
Sketch And Find The Equation Of A Polynomial Given Its Zeroes And A Point
Sketch a Line of Best Fit
Simplifying Rational Expressions
Solve for Theta in Degree Mode - Two Possible Answers
Solving a Double Inequality
Solving a 3D Trig Problem
Solving Exponential Equations 1
Solving Exponential Equations 2
Solving An Exponential Word Problem
Solving an Exponential Word Problem Using Guess and Check
Solving An Exponential Word Problem Using Logarithms
Solving an Inequality
Solving a Profit Word Problem by Completing the Square
Solving a Revenue Word Problem Using Quadratic Formula
Solving Linear Equations - With Brackets
Solving Linear Equations - With Fractions, Simple
Solving Linear Equations - With Fractions
Solving a Linear System by Elimination
Solving a Linear System by Substitution
Solving a Linear System Word Problem Using Elimination
Solving a Linear System Word Problem Using Substitution
Solving a Linear Trigonometric Equation Where the Period Changes
Solving Linear Trig Equations
Solving A Polynomial Inequality
Solving A Polynomial Inequality Quartic
Solving Quadratics of Any Form
Solving Quadratic Trig Equations
Solving a Rational Equality
Solving a Rational Inequality
Solving Triangles What Law To Use
Solving A Trigonometry Word Problem That Has Conversions
Solving a Trigonometric Word Problem Using Substitution
Solving A Word Problem Using Quadratic Formula
Special Triangles in Degrees
Special Triangles in Radians
TYPED - Standard Deviation, Quartiles and Outliers
State The Transformations Given Vertex Form
Sum and Difference of Functions
Back up to the top
T
The Derivative of a Polynomial
Transformations of a Parabola
Transformations of an Exponential
Trig Identities for Grade 11
Trigonometry - Solve for X When it is in the Denominator
Trigonometry - Using Angle of Depression and SOH CAH TOA to Solve a Word Problem
Trigonometry - Using Angle of Elevation and Sine Law to Solve a Word Problem
TYPED - Causation, Correlation and Accidental
TYPED - Introduction to Sampling and Bias
TYPED - Making Unbiased Surveys
TYPED - Mean, Median and Mode
TYPED - Standard Deviation, Quartiles and Outliers
Types of Sampling
Back up to the top
U
Using Binomial Theorem
Using Cosine Law to Determine a Side
Using Compound Angle Formulae
Using Double Angle Formulae
Using Fathom
Using the Fundamental Counting Principle
Using Sine Law to Determine Angles and Sides
Using SOHCAHTOA to Determine Angles
Using SOHCAHTOA to Determine Sides
Using Product Rule
Using Chain Rule
Using Quadratic Formula
Using Quadratic Formula to Solve for X Given Y in a Word Problem
Back up to the top
V
Volume and Surface Area of a Cone
Volume and Surface Area of a Triangular Prism
W
Write an Algebraic Vector as a Geometric Vector (p167 7a)
Working with Annuities Online - Future Value
Working with Annuities Online - Present Value
Working with Pascal's Triangle
X
Back up to the top
Y
Z
Comments (0)
You don't have permission to comment on this page.