Mr. Wadge's Math Shack
  • Welcome
  • Grade 12 Courses
    • Calculus 12 >
      • Projects
      • Ch 0: PreCalculus Review >
        • 0.0 One-Day Review
        • 0.1 PreCalculus Review (part 1)
        • 0.2 PreCalculus Review (part 2)
        • 0.3 PreCalculus Review (part 3)
        • 0.4 PreCalculus Review (part 4)
        • 0.5 PreCalculus Review (part 5)
      • Ch 1 Limits and Rates of Change >
        • 1.1 & 1.2 Tangent Problem / Limit of a Function
        • 1.3 One-Sided Limits
        • 1.3 (part 2) Intermediate Value Theorem
        • 5.1 Vertical Asymptotes
        • 5.2 Horizontal Asymptotes
        • 1.4 Using Limits to Find Tangents
        • 1.5 Velocity and Other Rates of Change
        • 1.8 Review Exercises / 1.9 Chapter Test
      • Ch 2 Derivatives >
        • 2.1 Derivatives
        • 2.2 The Power Rule
        • 2.3 The Sum and Difference Rules
        • 2.4 The Product Rule
        • 2.5 The Quotient Rule
        • 2.6 The Chain Rule
        • 2.7 Implicit Differentiation
        • 2.8 Higher Derivatives
        • 2.9 Review Exercises / 2.10 Chapter Test
      • Ch 3 Applications of Derivatives >
        • 3.1 Velocity
        • 3.2 Acceleration
        • 3.3 Rates of Change in the Natural Sciences
        • 3.5 Related Rates
        • 3.6 Newton's Method
        • BONUS: Local Linear Approximation
        • 3.7 Review Exercises / 3.8 Chapter Test
      • Ch 4 Extreme Values >
        • 4.1 Increasing and Decreasing Functions (part 1 of 2)
        • 4.1 Increasing and Decreasing Functions (part 2 of 2)
        • 4.2 Maximum and Minimum Values
        • 4.0 Existence Theorems
        • 4.3 The First Derivative Test
        • 4.4 Applied Maximum and Minimum Problems (part 1 of 2)
        • 4.4 Applied Maximum and Minimum Problems (part 2 of 2)
        • 4.6 Review Exercises / 4.7 Chapter Test
      • Ch 5 Curve Sketching >
        • 5.0 Review
        • 5.3 Concavity and Points of Inflection
        • 5.4 The Second Derivative Test
        • 5.5 A Procedure For Curve Sketching (part 1 of 2)
        • 5.5 A Procedure For Curve Sketching (part 2 of 2)
        • 5.6 Slant Asymptotes
        • 5.7 Review Exercises / 5.8 Chapter Test
      • Ch 6 Trigonometry Review >
        • 6.0 Review (part 1)
        • 6.0 Review (part 2)
        • 6.0 Review (part 3)
      • Ch 7 Derivatives of Trigonometric Functions >
        • 7.1 Limits of Trigonometric Functions
        • 7.2 Derivatives of the Sine and Cosine Functions (part 1 of 2)
        • 7.2 Derivatives of the Sine and Cosine Functions (part 2 of 2)
        • 7.3 Derivatives of Other Trigonometric Functions
        • 7.4 Applications
        • 7.5 Inverse Trigonometric Functions (part 1 of 2)
        • 7.5 Inverse Trigonometric Functions (part 2 of 2)
        • 7.6 Derivatives of the Inverse Trigonometric Functions
        • 7.7 Review Exercises / 7.8 Chapter Test
      • Ch 8 Exponential and Logarithmic Functions >
        • 8.1 Exponential Functions
        • 8.2 Derivatives of Exponential Functions
        • 8.0 Review of Logarithms
        • 8.3 Logarithmic Functions
        • 8.4 Derivatives of Logarithmic Functions
        • 8.6 Logarithmic Differentiation
        • BONUS: Indeterminate Forms and L'Hôpital's Rule
        • 8.7 Review Exercises / 8.8 Chapter Test
      • Ch 9 Area Under Curves >
        • 9.1 Riemann Sums
        • 9.2 The Trapezoidal Rule
        • 9.3 Sigma Notation
        • 9.4 Limit of Riemann Sums
      • Ch 10 Integration >
        • 10.1 Antiderivatives
        • 10.2 The Fundamental Theorem of Calculus
        • 10.3 The Substitution Rule
        • 10.4 Integration by Parts
      • Ch 11 Applications of Integrals >
        • 11.1 The Average Value Theorem
        • 11.2 Volume of Rotational Solids
        • 11.3 Volume of Rotational Solids (part 2)
        • 11.4 Volume of Rotational Solids (part 3)
        • 11.5 Differential Equations
        • 11.6 Slope Fields
      • Ch 12 Cumulative Review >
        • 12.1 Cumulative Review for Chapters 1 – 3
        • 12.2 Cumulative Review for Chapters 4 – 7
        • 12.3 Cumulative Review for Chapters 8 – 9
    • PreCalculus 12 >
      • Term Project Options
      • Review of Grade 11
      • Chapter 1: Sequence and Series >
        • 1.1 Arithmetic Sequences
        • 1.2 Arithmetic Series
        • 1.3 Geometric Sequences
        • 1.4 Geometric Series
        • 1.5 Infinite Geometric Series
        • 1.6 Chapter Review
      • Ch2: Transformations (First Half) >
        • 2.1 Functions and Relations (review)
        • 2.2 Arithmetic Combinations of Functions
        • 2.3 Composite Functions
        • 2.5 Inverse Functions (Part 1 of 2)
        • 2.5 Inverse Functions (Part 2 of 2)
        • 2.7 Chapter Review
      • Ch2: Transformations (Second Half) >
        • 2.4 Transformations of Graphs (Part 1 of 2)
        • 2.4 Transformations of Graphs (Part 2 of 2)
        • 2.6 Combined Transformations
        • 2.7 Chapter Review
      • Ch3: Polynomials >
        • 3.1 Polynomials
        • 3.2 Graphing Polynomial Functions
        • 3.3 Division of Polynomials
        • 3.4 The Remainder and Factor Theorems
        • 3.5 Polynomial Applications
        • 3.6 Chapter Review
      • Ch4: Radicals & Rational Functions >
        • 4.1 Radicals
        • 4.2 Graphing and Solving Radical Equations
        • 4.3 Rational Functions
        • 4.4 Graphing Rational Functions
        • 4.5 Chapter Review
      • Ch5: Logarithms >
        • 5.1 Exponents
        • 5.2 Logarithmic Functions and their Graphs (Part 1 of 2)
        • 5.2 Logarithmic Functions and their Graphs (Part 2 of 2)
        • 5.3 Properties of Logarithms
        • 5.4 Exponential and Logarithmic Equations
        • 5.5 Applications of Exponential and Logarithmic Functions
        • 5.6 Chapter Review
      • Ch6: Trigonometry (Pt. 1) >
        • 6.1 Angles and their Measure
        • 6.2 Trigonometric Functions of Acute Angles
        • 6.3 Trigonometric Function - General & Special Angles
        • 6.4 Graphing Basic Trigonometric Functions (part 1 of 3)
        • 6.4 Graphing Basic Trigonometric Functions (part 2 of 3)
        • 6.4 Graphing Basic Trigonometric Functions (part 3 of 3)
        • 6.5 Application of Periodic Functions
        • 6.6 Chapter Review
      • Ch7: Trigonometry (Pt. 2) >
        • 7.1 Trigonometric Identities and Equations
        • 7.2 Verifying Trigonometric Identities
        • 7.3 Trigonometric Equations (part 1 of 2)
        • 7.3 Trigonometric Equations (part 2 of 2)
        • 7.4 Sum and Difference Identities (part 1 of 2)
        • 7.4 Sum and Difference Identities (part 2 of 2)
        • 7.5 Double Angle Identities
        • 7.6 Chapter Review
      • Old Curriculum Material >
        • 7.1 Fundamental Counting Principle (part 1 of 2)
        • 7.1 Fundamental Counting Principle (part 2 of 2)
        • 7.2 Permutations
        • 7.3 Combinations
        • 7.4 Binomial Theorem
        • 7.5 Pathway Problems
        • 7.6 Chapter Review
      • Final Exam
    • Foundations 12 >
      • Ch 1: Logical Reasoning and Set Theory >
        • 1.1 Connecting Words "And", "Or", "Not"
        • 1.2 Set Theory (Part 1 of 2)
        • 1.2 Set Theory (Part 2 of 2)
        • 1.3 Venn Diagrams - Part One
        • 1.4 Venn Diagrams - Part Two
        • 1.5 Conditional Statements
        • 1.6 Chapter Review
      • Ch 2: Permutations and Combinations >
        • 2.1 The Fundamental Counting Principle (part 1 of 2)
        • 2.1 The Fundamental Counting Principle (part 2 of 2)
        • 2.2 Factorial Notation and Permutations (part 1 of 2)
        • 2.2 Factorial Notation and Permutations (part 2 of 2)
        • 2.3 Permutations with Restrictions
        • 2.4 Permutations with Repetitions
        • 2.5 Combinations - Part 1
        • 2.6 Combinations - Part 2
        • 2.7 Problem Solving with Permutations and Combinations
        • 2.8 Chapter Review
      • Ch 3: Probability >
        • 3.1 Probability Terminology and Notation
        • 3.2 Odds and Probability
        • 3.3 Mutually Exclusive Events and the Event "A ∪ B"
        • 3.4 Independent / Dependent Events and the Event "A ∩ B"
        • 3.5 Solving Problems Using Tables and Diagrams
        • 3.6 Probability Involving Permutations and Combinations
        • 3.7 Chapter Review
      • Ch 4: Exponential and Logarithmic Functions >
        • 4.1 Review and Preview (part 1 of 2)
        • 4.1 Review and Preview (part 2 of 2)
        • 4.2 Analyzing Exponential Functions (part 1 of 2)
        • 4.2 Analyzing Exponential Functions (part 2 of 2)
        • 4.3 Analyzing Logarithmic Functions (part 1 of 2)
        • 4.3 Analyzing Logarithmic Functions (part 2 of 2)
        • 4.4 Interpreting Graphs of Exponential and Logarithmic Functions
        • 4.5 Modelling Data Using Exponential and Logarithmic Functions
        • 4.6 Chapter Review
      • Ch 5: Polynomial and Sinusoidal Functions >
        • 5.1 Polynomial Functions of Degree Zero, One, and Two
        • 5.2 Polynomial Functions of Degree Three
        • 5.3 Modelling Data Using Polynomial Functions
        • 5.4 Angular Measure - Degrees and Radians (part 1 of 2)
        • 5.4 Angular Measure - Degrees and Radians (part 2 of 2)
        • 5.5 Amplitude and Period
        • 5.6 Horizontal & Vertical Shifts
        • 5.7 Modelling Data Using Sinusoidal Functions
        • 5.8 Chapter Review
      • Ch 6: Financial Mathematics >
        • 6.1 Simple Interest andCompound Interest
        • 6.2 Investments Using Compound Interest
        • 6.3 Basic Loans Using Compound Interest (part 1 of 2)
        • 6.3 Basic Loans Using Compound Interest (part 2 of 2)
        • 6.4 Mortgages
        • 6.5 Buying, Renting, and Leasing
        • 6.6 Investment Portfolios
        • 6.7 Chapter Review
  • Grade 11 Classes
    • PreCalculus 11 >
      • Review (what you should already know)
      • Ch1: Factoring and the Quadratic Function >
        • 1.1 Factoring
        • 1.2 Factoring (More Complicated Types)
        • 1.3 Properties of Quadratic Functions
        • 1.4 The Standard Form of a Quadratic Function
        • 1.5 Chapter Review
      • Ch2: Quadratic Transformations >
        • 2.1 Finding the Equation of a Parabola
        • 2.2 General Form to Standard Form
        • 2.3 Vertex of a Parabola
        • 2.4 Applications of Quadratic Functions
        • 2.5 Chapter Review
      • Ch3: Quadratic Equations >
        • 3.1 Solving Quadratic Equations by Factoring
        • 3.2 Completing the Square and Square Root Property
        • 3.3 The Quadratic Formula
        • 3.4 Graphing Calculator and the Discriminant
        • 3.5 Applications of Quadratic Equations
        • 3.6 Chapter Review
      • Ch4: Systems of Equations >
        • 4.1 Graphing Non-Linear Systems of Equations
        • 4.2 Solving Non-Linear Systems Algebraically
        • 4.3 Graphing Linear Inequalities in Two Variables
        • 4.4 Graphing Non-Linear Inequalities
        • 4.5 Applications of Inequalities
        • 4.6 Chapter Review
      • Ch5: Radicals >
        • 5.1 Radical Operations (Part 1 of 2)
        • 5.1 Radical Operations (Part 2 of 2)
        • 5.2 Simplifying Radicals
        • 5.3 Adding and Subtracting Radical Expressions
        • 5.4 Multiplying and Dividing Radical Expressions (Part 1 of 2)
        • 5.4 Multiplying and Dividing Radical Expressions (Part 2 of 2)
        • 5.5 Radical Equations
        • 5.6 Chapter Review
      • Ch6: Rational Functions >
        • 6.1 Properties of Rational Expressions
        • 6.2 Multiplication and Division of Rational Expressions
        • 6.3 Sums and Differences of Rational Expressions
        • 6.4 Mixed Operations
        • 6.5 Rational Equations
        • 6.6 Graphing Rational Functions
        • 6.7 Applications of Rational Equations
        • 6.8 Chapter Review
      • Ch7: Trigonometry >
        • 7.1 Angles and their Measure
        • 7.2 The Three Trigonometric Functions
        • 7.3 Special Angles
        • 7.4 & 7.5 Oblique Triangles / Law of Sines (Part 1)
        • 7.5 Law of Sines (Part 2)
        • 7.6 Law of Cosines
        • 7.7 Chapter Review
      • Ch8: Finance >
        • 8.1 Investments and Loans
        • 8.2 Effective Interest Rates and Annuities
        • 8.3 Stocks and Bonds
        • 8.4 Instalment Loans
        • 8.5 Canadian Mortgages
        • 8.6 Chapter Review
      • Final Exam Review
      • Old Curriculum Material >
        • 1.1 Absolute Value
        • 4.3 Absolute Value Functions
        • 4.4 Solving Absolute Value Equations
        • 4.5 Rational Functions
        • 4.6 Reciprocal Functions (Part 1 of 2)
        • 4.6 Reciprocal Functions (Part 2 of 2)
        • 4.7 Chapter Review
    • Foundations 11 >
      • Ch 1: Rates and Scale Factor >
        • 1.1 Ratios and Rates
        • 1.2 Visualizing Rates
        • 1.3 Similar Figures
        • 1.4 Perimeter, Area and Surface Area of Similar Figures
        • 1.5 Volume of Similar Figures
        • 1.6 Chapter Review
      • Ch 2: Geometry >
        • 2.1 Geometry
        • 2.2 Proofs
        • 2.3 Polygons
        • 2.4 Compass and Straightedge Construction
        • 2.5 Chapter Review
      • Ch 3: Non-Right Angle Triangles >
        • 3.1 Review of Sine, Cosine and Tangent for Right Triangles
        • 3.2 Law of Sines (Part 1 of 2)
        • 3.2 Law of Sines (Part 2 of 2)
        • 3.3 Law of Cosines
        • 3.4 Applied Problems
        • 3.5 Chapter Review
      • Ch 4: Analyze Puzzles and Games >
        • 4.1 Patterns
        • 4.2 Inductive Reasoning
        • 4.3 Deductive Reasoning
        • 4.4 Puzzles and Games of Strategy
        • 4.5 Chapter Review
      • Ch 5: Statistics >
        • 5.1 Mean, Median and Mode
        • 5.2 Standard Deviation
        • 5.3 The Normal Distribution (Part 1 of 2)
        • 5.3 The Normal Distribution (Part 2 of 2)
        • 5.4 Confidence Interval for Means
        • 5.5 Chapter Review
      • Ch 6: Linear Systems >
        • 6.1 Review: Graphing a Linear Equation (Part 1 of 2)
        • 6.1 Review: Graphing a Linear Equation (Part 2 of 2)
        • 6.2 Linear Inequalities
        • 6.3 Linear Programming
        • 6.4 Application of Linear Programming
        • 6.5 Chapter Review
      • Ch 7: Quadratic Functions >
        • 7.1 Quadratic Functions (Part 1 of 3)
        • 7.1 Quadratic Functions (Part 2 of 3)
        • 7.1 Quadratic Functions (Part 3 of 3)
        • 7.2 General Form of a Quadratic Function
        • 7.5 Application of Quadratic Functions & Equations (part 1 of 2)
        • 7.0 Graphing Non-Linear Systems of Equations (Part 1 of 2)
        • 7.0 Graphing Non-Linear Systems of Equations (Part 2 of 2)
        • 7.6 Chapter Review
      • Ch8: Math Research Project
      • Old Curriculum Material >
        • 7.3 Quadratic Equations
        • 7.4 Solving Quadratic Equations (part 1 of 2)
        • 7.4 Solving Quadratic Equations (part 2 of 2)
        • 7.5 Application of Quadratic Functions & Equations (part 2 of 2)
    • Workplace 11 >
      • Ch 1: Slope and Rate of Change >
        • 1.1 Ratios and Proportions
        • 1.2 Rates / Solving Problems with Proportions
        • 1.3 Slope
        • 1.4 Angle of Elevation
        • 1.5 Pitch, Grade, and Drop
        • 1.6 Calculating Slope on a Coordinate Plane
        • 1.7 Calculating Slope from Ordered Pairs
        • 1.8 Rate of Change
        • 1.9 Interpolation and Extrapolation
      • Ch 2: Graphs and Statistics >
        • 2.1 Broken Line Graphs
        • 2.2 Bar Graphs
        • 2.3 Pictographs
        • 2.4 Histograms
        • 2.5 Review of Percents / Circle Graphs ​(part 1 of 2)
        • 2.5 Making Circle Graphs (part 2 of 2)
        • 2.6 Graphs and Technology
        • 2.7 Other Types of Graphs
        • 2.8 Misleading Graphs
        • 2.9 Mean, Median, Mode, and Range
        • 2.10 Standard Deviation
      • Ch 3: Scale Factor and Representations >
        • 3.1 Scale Factor
        • 3.2 Scale Diagrams
        • 3.3 One-Point Perspective
        • 3.4 Two-Point Perspective
        • 3.5 Exploded Views and Component Parts
        • 3.6 Orthographic Drawings
        • 3.7 Isometric Drawings
        • 3.8 Oblique Drawings
      • Ch 4: Financial Literacy >
        • 4.1 Financial Institutions
        • 4.2 Bank Accounts
        • 4.3 Bank Statements
        • 4.4 Simple Interest
        • 4.5 Compound Interest
        • 4.6 Compounding Periods
        • 4.7 Credit
        • 4.8 Loans
        • 4.9 Mortgages
        • 4.10 Mortgage Payments
        • 4.11 Investments
  • Grade 8, 9, 10 Classes
    • Foundations & PreCalculus 10 >
      • Problem Sets
      • Review (what you should already know)
      • Ch 1: Measuring Systems, Surface Area, and Volume >
        • 1.1 Metric Systems
        • 1.2 Imperial Systems
        • 1.3 Converting Metric and Imperial Systems
        • 1.4 Surface Area and Volume of Prisms (part 1 of 2)
        • 1.4 Surface Area and Volume of Prisms (part 2 of 2)
        • 1.5 Surface Area and Volume of Pyramids
        • 1.6 Surface Area and Volume of Cylinders, Cones, and Spheres
        • 1.7 Chapter Review
      • Ch 2: Radicals >
        • 2.1 Number Systems
        • 2.2 Greatest Common Factor and Least Common Multiple (part 1 of 2)
        • 2.2 Greatest Common Factor and Least Common Multiple (part 2 of 2)
        • 2.3 Squares and Square Roots
        • 2.4 Rational And Irrational Numbers
        • 2.5 Simplifying Radicals
        • 2.6 Exponential Notation (part 1 of 3)
        • 2.6 Exponential Notation (part 2 of 3)
        • 2.6 Exponential Notation (part 3 of 3)
        • 2.7 Chapter Review
      • Ch 3: Polynomials >
        • 3.1 Classifying Polynomials (part 1 of 2)
        • 3.1 Classifying Polynomials (part 2 of 2)
        • 3.2 Multiplying Polynomials
        • 3.3 Removing Common Factors
        • 3.4 Factoring x^2 + bx + c (part 1 of 2)
        • 3.4 Factoring x^2 + bx + c (part 2 of 2)
        • 3.5 Factoring ax^2 + bx + c
        • 3.6 Special Factors
        • Algebra Tiles
        • 3.7 Chapter Review
      • Ch 4: Relations and Functions >
        • 4.1 Relations
        • 4.2 Functions
        • 4.3 Linear Equations
        • 4.4 Non-Linear Equations
        • 4.5 Graphing with a Calculator
        • 4.6 Chapter Review
      • Ch 5: Linear Functions >
        • 5.1 Slope
        • 5.2 Rate of Change
        • 5.3 Graphing Linear Functions
        • 5.4 Parallel and Perpendicular Lines
        • 5.5 Applications of Linear Relations
        • 5.6 Chapter Review
      • Ch 6: Linear Equations >
        • 6.0 Rewriting Equations
        • 6.1 Different Forms of Linear Equations (part 1 of 2)
        • 6.1 Different Forms of Linear Equations (part 2 of 2)
        • 6.2 Special Cases of Linear Equations
        • 6.3 Equations of Parallel and Perpendicular Lines
        • 6.4 Linear Applications and Modelling
        • 6.5 Function Notation
        • 6.6 Chapter Review
      • Ch 7: Solving Linear Systems >
        • 7.1 Solving Linear Systems by Graphing
        • 7.2 Solving Linear Systems by Addition
        • 7.3 Solving Linear Systems by Substitution
        • 7.4 Problem Solving with Two Variables
        • 7.5 Chapter Review
      • Ch 8: Trigonometry >
        • 8.1 Sine, Cosine, and Tangent for Right Triangles (part 1 of 2)
        • 8.1 Sine, Cosine, and Tangent for Right Triangles (part 2 of 2)
        • 8.2 Relationships Between Sine, Cosine, and Tangent
        • 8.3 Special Angles
        • 8.4 Applications of Trigonometry
        • 8.5 Compound Trigonometry Applications
        • 8.6 Chapter Review
    • Math 9 >
      • Ch 1: Square Roots, Powers, and Exponent Laws >
        • 1.1 Square Roots
        • 1.2 Square Roots of Big & Small Numbers
        • 1.3 Estimating Square Roots
        • 1.4 Powers
        • 1.5 Order of Operations
        • 1.6 Exponent Rules
        • 1.7 Power Rules
        • 1.8 Review
      • Ch 2: Finance >
        • 2.1 Salary and Wages
        • 2.2 Commission
        • 2.3 Tips and Piecework
        • 2.4 Deductions
        • 2.5 Simple Interest
        • 2.6 Budgeting
      • Ch 3: Rational Numbers >
        • 3.1 Rational Numbers
        • 3.2 Operations with Integers
        • 3.3 Operations with Decimals
        • 3.4 Dividing Decimals
        • 3.5 Multiplying and Dividing Fractions
        • 3.6 Adding Fractions
        • 3.7 Subtracting Fractions
        • 3.8 Adding and Subtracting Negative Rational Numbers
        • 3.9 Order of Operations with Rational Numbers
        • 3.10 Review
      • Ch 4: Polynomials >
        • 4.1 Defining Polynomials
        • 4.2 Simplifying Polynomials
        • 4.3 Adding & Subtracting Polynomials
        • 4.4 Multiplying Polynomials
        • 4.5 Dividing Polynomials
        • 4.6 Order of Operations with Polynomials
      • Ch 5: Linear Equations >
        • 5.1 One-Step Equations
        • 5.2 Two-Step Equations
        • 5.3 Using the Distributive Property
        • 5.4 Combining Like Terms
        • 5.5 Variables on Both Sides of an Equation
        • 5.6 Clearing Fractions
        • 5.7 Solving ANY Linear Equation
        • 5.8 Writing Algebraic Equations
      • Ch 6: Proportional Reasoning >
        • 6.1 Congruent Triangles
        • 6.2 Similar Triangles (Part 1 of 2)
        • 6.2 Similar Triangles (Part 2 of 2)
        • 6.3 Similar Polygons
        • 6.4 Scale Factor
        • 6.5 Scale Diagrams
        • 6.6 Unit Conversions
      • Ch 7: Statistics >
        • 7.1 Statistics
      • Ch 8: Linear Relations >
        • 8.1 Patterns (part 1 of 2)
        • 8.1 Patterns (part 2 of 2)
        • 8.2 Modeling Real-Life Situations
        • 8.3 Cartesian Plane
        • 8.4 Graphing a Table of Values
        • 8.5 Interpolation and Extrapolation
    • Math 8 >
      • Ch 1: Integers >
        • 1.1 Multiplying Integers
        • 1.2 Dividing Integers
        • 1.3 Adding Integers
        • 1.4 Subtracting Integers
        • Practice
      • Ch 2: Fractions >
        • 2.1 Basic Fraction Skills
        • 2.2 More Fraction Skills
        • 2.3 Multiplying Fractions
        • 2.4 Multiplying Mixed Fractions
        • 2.5 Dividing Fractions
        • 2.6 Dividing Mixed Fractions
        • 2.7 Adding and Subtracting Fractions
        • 2.8 Adding Mixed Fractions
        • 2.9 Subtracting Mixed Fractions
        • 2.10 Order of Operations with Fractions
        • Practice
      • Ch 3: Percent, Proportions, Ratio, and Rate >
        • 3.1 Converting Fractions, Decimals, & Percents
        • 3.2 Solving Proportions
        • 3.3 Percents
        • 3.4 Common Percent Problems
        • 3.5 Ratios
        • 3.6 Rates
        • 3.7 Proportion Problems
        • Handouts
      • Ch 4: Square Roots and the Pythagorean Theorem >
        • 4.1 Perfect Squares and Square Roots
        • 4.2 Estimating Square Roots
        • 4.3 Cube and Cube Roots
        • 4.4 The Pythagorean Theorem
        • 4.5 The Pythagorean Theorem (continued)
        • 4.6 Applications of the Pythagorean Theorem
        • Practice
      • Ch 5: Probability and Statistics >
        • 5.1 Probability
        • 5.2 Probability with Cards
        • 5.3 Tree Diagrams
        • 5.4 Independent and Dependent Events
        • 5.5 Dependent Events
        • 5.6 Measures of Central Tendency
      • Ch 6: Linear Equations and Relations >
        • 6.1 Algebraic Expressions
        • 6.2 Solving One-Step Equations
        • 6.3 Solving Two-Step Equations
        • 6.4 The Distributive Property
        • 6.5 The Cartesian Plane
        • 6.6 Linear Relations
        • 6.7 Linear Models
      • Ch 7: Geometry >
        • 7.1 Area Review
        • 7.2 Area of Composite Shapes
        • 7.3 Volume of Prisms
        • 7.4 Volume of Composite Shapes
        • 7.5 Surface Area of Prisms
        • 7.6 Surface Area of Cylinders
        • 7.7 Surface Area of Composite Shapes
  • (Retired) Blog
  • Marks
  • Contact Mr. Wadge

Student of the Week

25/3/2020

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This week's Student of the Week is Ryan O!

I do believe that I have taught Ryan all five years of high school though I MIGHT be wrong. Actually, now I'm doubting myself. Did you have Ms. Sidhu in grade 9 Ryan? For some reason I have a terrible time remembering who I did and did not teach in grade 9. What did we do in that year anyway?

Watch almost any teen movie (at least any one from my childhood in the '80s) and there was always the one lovable "Gentle Giant". That's Ryan!! Looks a little imposing when you first see him but - immediately upon meeting him - you realize that he is like the BEST guy ever. Thoughtful, kind, goofy, funny, self-expressed...

And LOUD! Ryan has always been very loud. I think, in fact, I may have yelled at him once at the start of grade 10 for making too much noise (great way to deal with noise... by yelling). Sorry about that, R.O. It happens...

The best thing about Ryan is his sense of humour. This guy loves to laugh. At his friends. At me. At weird things happening in the world. And - most impressively - at himself. Ryan is one JOVIAL dude. Who doesn't like being around someone like that?

It has been awesome teaching you, Ryan. One of the (many) things that is rotten about this Covid pandemic we find ourselves in, is that I will soon be losing time that I could be spending with wonderful people like you... and you aren't coming back next year!  :( 
Who knows... maybe we have shared our last class together already! Hope not! What a lousy ending that would be!

Keep smiling and laughing, Ryan. And putting so much joy out into the world for others to enjoy. I feel blessed to have shared so many laughs with you. Thanks for making my classes more interesting, enjoyable, and fun! Love ya, Ryan!
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Song of the Week

25/3/2020

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This teacher is way cooler than me. I don't even know what Half Life: Alyx is.

25/3/2020

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Is Poor Math Literacy Making It Harder For People To Understand COVID-19 Coronavirus?

25/3/2020

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Full article
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Student of the Week

19/3/2020

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This week's Student of the Week is Sara M (I imagine there are some epic photos of Sara out there that could be shared... please!).

I remember when I first met Sara. I did not actually teach her in grade 8 but she would come to my class sometimes (maybe even to get math help? I can't totally remember), She was probably just following Ali or Madison (both of whom I DID teach in grade 8) around but she definitely made an impression on me. She was so good-natured and confident and funny. I always looked forward to the rare occasions that she would visit.

Sometime during that grade 8 year, Sara's Mom requested a meeting. The three of us met in my classroom and Sara's Mom requested that Sara move to my class because [to be honest, I'd rather not say the reason why]. I had to inform the two of them that it was not possible to change classes at such a late point in the year. Sara looked so sad and I made some comment like "don't worry. I'm sure we will have many classes together in the years ahead". Foolish comment as it could have turned out that I NEVER taught Sara a single time. But, THANK GOODNESS (not just for Sara but for MEEEEEE!!!) Sara has been my student every year since. Four wonderful years in a row!!

Sara is very open. Maybe a bit of an over-sharer at times. But hey, so am I, so it's worked out great. We have had so many fantastic conversations, many of them related to her romantic interests... but not ALL! Other topics have included volleyball, Sara's Mom (Tanja!), Serbia (greatest country in the world, apparently), and our various sicknesses and injuries (Sara and I - but especially Sara! - seem to always be suffering from some fracture, concussion, sprain, cold, flu, cold sore, lip rash / burn, etc).

Sara has a huge heart. She has spent so many hours assisting others over the past few years at King George. She has refereed volleyball. She has done scorekeeping. She has even done multiple years of coaching! Whenever I have been stuck finding someone to volunteer, I have looked upon Sara as my "Ace in the hole"; an almost-certain "yes" every time I ask her to volunteer. What a generous person!

It's been an amazing four years, Sara. I admire you so much for your joyful outlook on life, your warmth, your sense of humour, and your just-go-for-it attitude in so many areas (volleyball, work, school, volunteering, Police Challenge, etc). You've brought so much joy and many, many laughs into my life and I thank you for it all! Hopefully we can enjoy a few more lunches together in the years ahead (thanks for that one at Joe's!). I know that big things await you in the future but I am already so proud of you! 
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Song of the Week

19/3/2020

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The Nobel Prize of Mathematics

19/3/2020

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Student of the Week

10/3/2020

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This week's Student of the Week is Kai L. Thanks for the incredible photo, Lucas!

You gotta love someone whose first name and last name rhyme! Kudos to Kai's parents for their inspired choice.

I first taught Kai in Math 8 and have done so every year since... except grade 9. As hard as it is to believe now, I remember that Kai was not the easiest of students to teach in grade 8. He was obviously a good math student but he had a tendency to socialize too much, get others wound up, avoid working in class, etc. I am sure it was a classic "bored in Math because he finds it too easy so he acts up instead". I remember having a talk with him one day about how "you're a real leader in this class. Kids look up to you. If you behave, if you work... they work.". It really made a difference... for about a whole week!! hahaha

Anyway, it's not like he was a disaster grade 8 student but he was certainly not super quiet and reserved... which is how Ms Sidhu described him to me in her Math 9 class. WHAT THE HECK!!!! How did this happen?? I remember clearly her saying to me: "some of my grade 9's are so withdrawn. I can hardly get them to talk. Like Kai". Huh!?!?!?!

WHOA!!!!!! Gotta interrupt my own blog post here. I am listening to music on iTunes and look at which song RANDOMLY just came on. I have over 28,000 songs in my iTunes library and THIS song just happens to come on when I am typing Kai's Student of the Week post?!? Scary!
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I don't know what Ms Sidhu did to Kai (she was SUPER tough. hahaha) but by the time he returned to my class in PreCalculus 10 he was a fantastic student. Great work ethic. Super focused. Everything done on time and done WELL!! And that's the way he has been ever since. It's a complete reverse reversal: from preventing kids from doing their work in grade 8 to INSISTING those around him work in PreCalculus 12. 

It's actually pretty amusing watching Kai and Lucas C work together in Math class now:

Kai (intense): What did you get? What did you get?
Lucas (laid back): I got root 2 over 2.
Kai: NEGATIVE! NEG-A-TIVE!!!
Lucas: Wait. I don't think so.
Kai: YES!!!!!! IT'S NEGATIVE BUD-DY. WHAT ARE YOU THINKING?!?!?
Lucas: Oh.... yeah. Negative.
Kai: SHEESH!!!

I believe Kai was the first member of the Class of 2020 to call me "Wadge". As in, dropping the "Mister". This seems to happen to me, wherever I teach. It happened all the time TWENTY years ago in Squamish and it persists to this day. Kai was an early adapter of this. I'm not sure if I should be offended (no respect?) or flattered (less formal?). Either way, I notice many of you have joined Kai in this trend now.

It's ALWAYS been great to teach you, Kai. Even in grade 8! You were NEVER rude or disrespectful; just a typical grade 8 boy. Having said that, I am super proud of you for the sort of student and person that you have become. You are so personable, intelligent, and determined... I know that great successes await you in the future. I consider myself very lucky to have taught you (four times!) and I wish you well. Love ya, K.L.!!
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Song of the Week

10/3/2020

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I need these for Simone (and for you guys too!)  :)

10/3/2020

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Nice article on important female mathematicians / scientists

10/3/2020

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You might not know their names or faces, but these pioneering women changed the way we live in and think about the world. From geometry to paleontology, medicine to marine biology, they advanced their fields while facing tremendous odds. Join us now as we celebrate their stories. Here are 20 amazing (and unsung) women who changed math and science forever.
For full article
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Oh gosh... on a major news station. This is terrible!

10/3/2020

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    P. Wadge

    I am your teacher. Obey me.

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