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

This was strangely fascinating. I loved Linus and Frida!!

31/1/2017

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Song of the Week

27/1/2017

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Student of the Week

27/1/2017

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This week's Student of the Week is Peter P.

I never knew Peter until this year. He's a quiet guy and I never heard him say much. Then one day...

Me: These text books we use in Calculus are very old.
Peter: You mean like you?

I was stunned. It was pretty darn hilarious because it was so unexpected. Now I have come to see that this was not a "one-off". Peter is a VERY funny guy. And a very smart guy too. He is the first KG student I know of who is taking three grade 12 Math classes at the same time: Foundations 12 (with me), Calculus 12 (with me), and PreCalculus 12 (with Mr Habibian). That's a LOT of Math homework!!! But Peter is excelling in all three classes (I checked with Mr H). Just look at that work ethic in the photo above!

Talk about a good student: friendly, funny, super-successful! I'm very happy to be teaching you this year, Peter. Keep working on those infinity signs - you'll get it right one of these days!!
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The best Math contests of the year!!

27/1/2017

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I strongly urge you to consider writing this Math contest. It's fun!

The date is Tuesday, February 28. You would miss Block 1B.

Cost is $4 but you only pay $2!!!! We will pay the other $2.

Sign-up with me (bring your $2) before Feb 8. Thanks!
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Learn Math in 10 minutes per day!

27/1/2017

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In just 10 minutes a day, you, too, can be good at math.
No, it's not a cheesy infomercial.
It's Minute School: An app by a new Waterloo startup that has micro-courses for high school and university students. The courses go over subjects they're learning in school, quiz them and help them prepare for tests and exams.
For full article
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Someone get Mr Sinclair a class set!!

27/1/2017

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You know I love these

27/1/2017

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Slice a cake for maximum moisture

27/1/2017

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Pretty interesting stuff!!

27/1/2017

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Student of the Week

21/1/2017

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This week's Student of the Week is Ranya A.

I first taught Ranya in Math 8. She was a quiet and focused student. She always had great insights to offer during class discussions and performed VERY well on tests. At Parent - Teacher interviews in December, both her (lovely) mother and myself expressed some concern that Ranya may be getting bored with the grade 8 material (which was proving to be very easy for her). As such, we made the decision to move her to Math 9 immediately (I can't remember whose class we moved her to but it was not mine).

I was sorry to see her leave my class and also a little nervous that we had moved her too late in the year... she still needed to catch up on the first three months of material from Math 9.

In retrospect, WHAT WAS I WORRIED ABOUT?!?! Ranya actually came to see me a few times after school in the weeks after she left my class. She was working through the grade 9 material she had missed and had a few questions. What kind of grade 8 student shows THAT kind of responsibility?!?

And fast forward to grade 12 where Ranya is, without a doubt, one of the very strongest math students in our school. In fact, after having the pleasure to teach Ranya in Math 8 (for three months), PreCalculus 10, PreCalculus 11, PreCalculus 12, and Calculus 12 I can honestly state that Ranya is one of the very best Math students I have EVER encountered in my twenty years of teaching. I am so pleased that she will be putting her exceptional Math skills to good use when she starts her Engineering degree next year.

Some of the things I love about Ranya (which are even more important than her stellar Math skills):
  1. her tremendous focus - some classes are interesting and some are deadly boring but Ranya is ALWAYS engaged, always contemplative, always participating.
  2. her honesty - I never have any doubts about who completed Ranya's work (or where the answers came from). How can I be so sure? Because Ranya is a student of great integrity. When she says she will do something, I know that it will be done. This is one of the most powerful (and, sadly, rare) traits to have in life and Ranya has it in spades.
  3. her willingness to work hard - Yes, she is a bright student but she is also willing to put a lot of time and effort into learning the very toughest concepts. This will, I'm sure, be put to good use during that Engineering degree. 
  4. her modesty - it would be very easy for Ranya to be more public, more animated about her exceptional marks. But I have never seen her do it. You know sometimes in class, someone might be crowing about their 100% mark ("what did you get? what did you get? Not as good as me?" etc). Well, chances are Ranya is sitting quietly at her desk, neutral-faced, with 103% on her test. I can't think of the word to describe the OPPOSITE of obnoxious, but whatever it is, that's Ranya!
I must also mention Ranya's time as my CS student last year. The only time that worked for her to CS for me was during my Spare block. Most teachers don't like this arrangement ("my spare is MY time") and I had some hesitations too but I am SO glad that Ranya was not my CS in any other block. Spending so much time with her throughout the year really allowed me to get to know her better. I saw her wonderful sense of humour. I learned about some of her interests (Ranya likes first-person shooters!). And she did SO much work for me. Honestly, it was pretty amazing how fast (and accurately) Ranya completed the assignments I gave her. If the Engineering thing doesn't work out R.A., you've always got a fall-back job in Room 311 waiting for you!  :)

Ranya, it has been a total pleasure to spend time with you over the past five years. Teaching you has been rewarding, effortless, and fun. When I think about what awaits you in the future, it honestly excites me. Talk about a "can't-miss prospect"! It makes me proud to think I made even the tiniest of differences in the sort of Math student you have become. Thank you for all the incredible work that you have done in my class. Good luck and I will miss you!
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Song of the Week

20/1/2017

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Arcade Fire + Mavis Staples = YES!!
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So close now!

20/1/2017

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    P. Wadge

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