Data Management (Ontario)

Advanced Functions (Ontario)

Calculus and Vectors (Ontario)

Handouts

Grade 12 Data Management (Ontario)

Statistics Lessons

Introduction to Statistics
Calculating the Mean (Average)
Types of Sampling Methods
Types of Bias
Types of Correlations
Pearson's Correlation Coefficient
Calculating the Range and IQR
Standard Deviation
Calculating the Mean, Median and Mode
Drawing a Box-Plot in Statistics
Introducing the Normal Curve

Statistics Examples

```
Finding unknown values 
```
```
Find unknown value 2
```
```
Find the Average (Mean) 
```
```
Find the Average (Mean) 2
```
```
Drawing a Box-Plot
```

Counting Principles Lessons

Permutations, Factorials and Counting Principles (Part 1)
Permutations, Factorials and Counting Principles (Part 2)
Venn Diagrams
Permutations, Factorials and Counting Principles (part 3)
Pascal’s Triangle
Binomial Expansion Formula (extension)
Combinations

Counting Examples

```
Combinations       
```
```
Permutations 1     
```
```
Permutations 2
```
```
Factorials      
```
```
Factorials 2      
```
```
Factorials 3       
```
```
Permutations 3      
```
```
Factorials 4      
```
```
Factorials 5       
```
```
Factorials Intro
```

Probability Lessons

Probability Introduction
Sample Space for Probability
Calculating Probability from tables of numbers
Calculating Probability from Tree Diagrams
Determining Compound Probability (multiple events)
Mutually Exclusive Events
Probability using counting techniques
Difference between Odds and Probability

Probability Examples

```
Binomial Probability         
```
```
Flipping a coin         
```
```
Dependent Probability      
```
```
Probability from Odds 
```

Graphing Calculator

1-Variable Statistics (part 1)
1-Variable Statistics (part 2)
2-Variable Statistics
Linear Regression and Pearsons Correlation Coeffiecient
Finding Permutations, Combinations, and Factorals
Binomial Probability
Normal Probability

Matricies (Bonus)

Naming Matrices according to size
Adding and Subtracting Matrices
Multiplying a Matrix by a constant value
Multiplying Two Matrices together
The Identity Matrix
Gauss Jordan Elimination

Grade 12 Advanced Functions (Ontario)

Long Division Lessons

Long Division
Using Long Division to divide polynomials

Rational Functions Lessons

Finding Restrictions on Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions

Rational Function Examples

```
Subtracting Rationals 
```
```
Dividing Rationals 
```
```
Multiplying Rationals
```

Exponential and Logarithmic Functions Lessons

Rational (Fraction) Exponents
Solving Exponential Equations
Graphing Logarithmic Functions
Solving Equations using Logarithms
Solving Logarithm Equations
The Logarithm Rules
Another Logarithms Rules Video
Introducing the natural number “e”
Working with Natural Logarithms y = ln(x)
Growth and Decay Questions

Exponential and Logarithmic Examples

```
Exponent Rules  
```
```
Exponent Rules 2 
```
```
Solving Exponential Equations 1        
```
```
Solving Exponential Equations 2      
```
```
Solving Exponential Equations 3      
```
```
Solving Exponential Equations 4     
```
```
Exponential Equation 5   
```
```
Factoring using Exponent Rules      
```
```
Expanding using Exponent Rules      
```
```
Expanding using Exponent Rules 2   
```
```
Natural Log Equation 
```
```
Logarithmic Equation 1      
```
```
Logarithm Rules 1      
```
```
Logarithm Rules 2  
```
```
Logarithm Rules 3      
```
```
Logarithm Rules 4          
```
```
Logarithm Rules 5     
```
```
Logarithm Rules 6   
```
```
Logarithmic Equation 1  
```

Logarithmic Equation 2

```
Logarithmic Equation 3       
```
```
Logarithmic Equation 4      
```
```
Logarithmic Equation 5  
```
```
Natural Log Equation 
```
```
Natural Log Equation 2       
```
```
Logarithmic Equation
```

Trigonometry Lessons

Solving Trig Equations
Graphing Trig Functions - Part 1
Graphing Trig Functions - Part 2
Graphing the Tan function
Determining Exact Trig Values
Solving Trig Equations that are in Quadratic Form
Working with Trig Relationships (factoring and expanding)
Working with Trig Identities
Double Angle Formulas

Trigonometry Examples

```
SOH-CAH-TOA
```
```
Sine Ratio 
```
```
Cosine Ratio
```
```
Area of a Triangle (using Sine)   
```
```
Finding Exact Value 
```
```
Exact Value 2  
```

Proving a Trig Identity

```
Trig Identity 2      
```
```
Trig Equation 1
```

Grade 12 Calculus and Vectors (Ontario)

Calculus Lessons

Evaluating Limits
Limits as x approaches infinite
Introduction to Calculus as well as First Principles
Simple Differentiation
Chain Rule
Product Rule
Quotient Rule
Derivative of y=e^x
Derivative of y=lnx
Derivative of trig functions
Classifying Stationary Points
The second derivative
Shapes of Curves (Concavity)
Equations of Tangents and Normals

Calculus Examples

```
Chain Rule 
```
```
Finding Slope 
```
```
Derivative 1 
```
```
Derivative 2 
```
```
Product Rule 
```
```
Chain Rule 2 
```
```
Product Rule 
```
```
Chain Rule 3
```

Vectors Lessons

Difference between a Vector and a Scalar
Adding and Subtracting Vectors
Vectors in Component Form
Unit Vectors
Finding a Vector given two points
The dot product (aka the scalar product)

Integration (Bonus)

The Anti-Derivative
Introduction to Integration
Rules of Integration
The Fundamental Theorem of Calculus

Activities and Handouts

Counting Methods Battleship

Organized Counting Flow Chart

Logarithms Battleship

Organized Counting Problem Set