Data Management (Ontario)
Advanced Functions (Ontario)
Calculus and Vectors (Ontario)
Handouts
How to effectively use the video lessons

Grade 12 Data Management (Ontario)

Statistics Lessons

  1. Introduction to Statistics

  2. Calculating the Mean (Average)

  3. Types of Sampling Methods

  4. Types of Bias  

  5. Types of Correlations

  6. Pearson's Correlation Coefficient

  7. Calculating the Range and IQR

  8. Standard Deviation

  9. Calculating the Mean, Median and Mode

  10. Drawing a Box-Plot in Statistics

  11. Introducing the Normal Curve

Statistics Examples

Counting Principles Lessons

  1. Permutations, Factorials and Counting Principles (Part 1)

  2. Permutations, Factorials and Counting Principles (Part 2)

  3. Venn Diagrams

  4. Permutations, Factorials and Counting Principles (part 3)

  5. Pascal’s Triangle

  6. Binomial Expansion Formula (extension)

  7. Combinations

Counting Examples

Probability Lessons

  1. Probability Introduction

  2. Sample Space for Probability

  3. Calculating Probability from tables of numbers

  4. Calculating Probability from Tree Diagrams

  5. Determining Compound Probability (multiple events)

  6. Mutually Exclusive Events

  7. Probability using counting techniques

  8. Difference between Odds and Probability

Probability Examples

Graphing Calculator

  1. 1-Variable Statistics (part 1)

  2. 1-Variable Statistics (part 2)

  3. 2-Variable Statistics

  4. Linear Regression and Pearsons Correlation Coeffiecient

  5. Finding Permutations, Combinations, and Factorals

  6. Binomial Probability

  7. Normal Probability

Matricies (Bonus)

  1. Naming Matrices according to size

  2. Adding and Subtracting Matrices

  3. Multiplying a Matrix by a constant value

  4. Multiplying Two Matrices together

  5. The Identity Matrix

  6. Gauss Jordan Elimination

How to effectively use the video lessons

Grade 12 Advanced Functions (Ontario)

Polynomial Functions

  1. Domain and Range

  2. Power Functions

  3. Intro to Polynomial Functions

  4. Finite Differences

  5. Graphing Polynomials from equations (factored form)

  6. Even and Odd Functions

  7. Transformations

Long Division Lessons

  1. Long Division

  2. Using Long Division to divide polynomials

Rational Functions Lessons

  1. Finding Restrictions on Rational Expressions

  2. Simplifying Rational Expressions

  3. Multiplying and Dividing Rational Expressions

  4. Adding and Subtracting Rational Expressions

Rational Function Examples

Exponential and Logarithmic Functions Lessons

  1. Rational (Fraction) Exponents

  2. Solving Exponential Equations

  3. Graphing Logarithmic Functions

  4. Solving Equations using Logarithms

  5. Solving Logarithm Equations

  6. The Logarithm Rules

  7. Another Logarithms Rules Video

  8. Introducing the natural number “e”

  9. Working with Natural Logarithms y = ln(x)

  10. Growth and Decay Questions

Exponential and Logarithmic Examples

Trigonometry Lessons

  1. Solving Trig Equations

  2. Graphing Trig Functions - Part 1

  3. Graphing Trig Functions - Part 2

  4. Graphing the Tan function

  5. Determining Exact Trig Values

  6. Solving Trig Equations that are in Quadratic Form

  7. Working with Trig Relationships (factoring and expanding)

  8. Working with Trig Identities

  9. Double Angle Formulas

Trigonometry Examples

How to effectively use the video lessons

Grade 12 Calculus and Vectors (Ontario)

Calculus Lessons

  1. Evaluating Limits

  2. Limits as x approaches infinite

  3. Introduction to Calculus as well as First Principles

  4. Simple Differentiation

  5. Chain Rule

  6. Product Rule

  7. Quotient Rule

  8. Derivative of y=e^x

  9. Derivative of y=lnx

  10. Derivative of trig functions

  11. Classifying Stationary Points

  12. The second derivative

  13. Shapes of Curves (Concavity)

  14. Equations of Tangents and Normals

Calculus Examples

Vectors Lessons

  1. Difference between a Vector and a Scalar

  2. Adding and Subtracting Vectors

  3. Vectors in Component Form

  4. Unit Vectors

  5. Finding a Vector given two points

  6. The dot product (aka the scalar product)

Integration (Bonus)

  1. The Anti-Derivative

  2. Introduction to Integration

  3. Rules of Integration

  4. The Fundamental Theorem of Calculus

Activities and Handouts

Counting Methods Battleship
Organized Counting Flow Chart
Logarithms Battleship
Organized Counting Problem Set