Incomplete notes will be posted before lessons, and completed notes and assigned handouts will be posted after the lesson is taught. If you are absent, you are expected to use the site to catch up!
Students are strongly encouraged to print the notes BEFORE class. This frees up class time to solve problems and get help, rather than spending our time together copying notes.
MCV 4U - Period 2
Course Outline/Classroom Expectations
Learning Goals/Assessment Information
Part 1: An Introduction to Differential Calculus
Jan. 31 - 1.1 Radical Expressions: Rationalizing Denominators Complete Note
Feb. 3 - 1.2 The Slope of a Tangent Complete Note
Feb. 4 - 1.2 Continued
Feb. 5 - 1.3 Rates of Change Complete Note
Feb. 6 - 1.4 The Limit of a Function Complete Note
Feb. 7 - 1.5 Properties of Limits Complete Note
Feb. 10 - Quiz #1: 1.2 to 1.4; 1.5 Continued
Feb. 11 - 1.6 Continuity Complete Note
Feb. 12 - Chapter 1 Review
Feb. 13 - No School
Feb. 14 - PD Day
Feb. 17 - Family Day
Feb. 18 - Chapter 1 Test
Feb. 19 - 2.1 The Derivative Function Complete Note
Feb. 20 - 2.2 The Derivatives of Polynomial Functions Complete Note
Feb. 21 - No School
Feb. 24 & 25 - 2.3 The Product Rule Complete Note
Feb. 26 - 2.4 The Quotient Rule Complete Note
Feb. 27 - Quiz #2: 2.1 to 2.3; 2.4 Continued
Feb. 28 & March 2 - 2.5 The Derivatives of Composite Functions Complete Note
March 3 - Quiz #3: Proof + 2.4 and 2.5; Get Ready for Chapter 5 (Review of Trig and Exponential Functions)
March 4 & 5 - 5.4 The Derivatives of the Sine and Cosine Functions Complete Note
March 6 - 5.5 The Derivative of the Tangent Function Complete Note
March 9 - 5.5 Continued
March 10 - Quiz #4: Derivatives of Trigonometric Functions; Derivatives Review
March 11 - Derivatives Review Test Information
March 12 - Derivatives Test
March 13 - Test Corrections, Get Ready for Chapter 6
Chapter 6 Notes: Please review these and attempt the homework below over your break.
p. 279 #1, 2, 4, 5, 7 – 11
p. 290 #1 – 5, 7, 8 (draw diagrams!!!)
p. 299 #3, 4, 5bc, 7, 9, 10, 13 – 15, 17 – 19 (be sure to have detail in proofs!)
Solutions for homework (6.1 to 6.3)
p. 306 #1 – 4, 6 – 11
p. 316 #2 – 7, 9 – 13, 15
Solutions for homework (6.4, MC Review, 6.5)
p. 324 #1, 3, 5, 7 – 9, 11, 13, 14
p. 332 #1 – 3, 5, 7, 10 – 12, 14
Homework Solutions (6.6 and 6.7)
6.8 Linear Combinations and Spanning Sets
Video Lesson Video #1 Video #2 Complete Note
Homework Solutions 6.8 and Chapter Review
Chapter 7 - Applications of Vectors (April 15 to 28)
7.1 & 7.2 Vectors as Forces (and a bit of Velocity) Video Lesson Complete Note
7.3 The Dot Product of Geometric Vectors Video Lesson Complete Note
7.4 The Dot Product of Algebraic Vectors Video Lesson Complete Note
7.5 Scalar and Vector Projections Video Lesson Complete Note
7.6 The Cross Product Video Lesson Complete Note
Homework Solutions (Homework questions can be found on the calendar!)
Chapter 4: Curve Sketching (and Odds & Ends with Derivatives)
3.1 Higher Order Derivatives Video Lesson Complete Note
3.2 Maximum and Minimum Values on an Interval Video Lesson Complete Note
Homework Solutions for 3.1 and 3.2
Homework Solutions for 3.1 and 3.2 Take 2
4.1 Increasing and Decreasing Functions & 4.2 Critical Points, Local Maxim and Local Minima Video Lesson Complete Note
4.3 Vertical and Horizontal Asymptotes Video Lesson Complete Note
4.4 Concavity and Points of Inflection Video Lesson Complete Note
4.5 An Algorithm for Curve Sketching Video Lesson CORRECTION TO LESSON! Watch this to see the correct intercepts and graph for example 2... sorry :( Please watch the full video as well - the rest is all good Complete Note
Homework Solutions for Chapter 4
5.1 & 5.2 Derivatives of Exponential Functions Video Lesson Complete Note
Homework Solutions for 5.1 & 5.2
"Quest" Information (3.1, 3.2, 5.1, 5.2)
Optimization Problems
*The material from 3.2 is particularly relevant here - when you are determining max/min values remember to consider real life restraints as well as critical values!
3.3 Optimization Problems Video Lesson Complete Note
3.4 Optimization Problems in Science and Economics Video Lesson Complete Note
Extra Videos (send requests as you look at the homework problems)
Chapter 8: Equations of Lines and Planes
8.1 Vector and Parametric Equations of a Line Video Lesson Complete Note
8.2 Cartesian Equation of a Line Video Lesson Complete Note
8.3 Vector, Parametric and Symmetric Equations of a Line in R^3 Video Lesson Complete Note
8.4 Vector and Parametric Equations of a Plane Video Lesson Complete Note
8.5 The Cartesian Equation of a Plane Video Lesson Complete Note
Chapter 9 + Vector Appendix
Vector Appendix - Matrices Video Lesson Complete Note
9.2 Systems of Equations Video Lesson Complete Note
9.1 The Intersection of a Line and a Plane and the Intersection of Two Lines Video Lesson Complete Note
9.3 The Intersection of Two Planes Video Lesson Complete Note
9.5 The Distance from a Point to a Line in R^2 and R^3 & 9.6 The Distance from a Point to a Plane Video Lesson Complete Note
Assessment Information
Extending Your Understanding: Calculus
Implicit Differentiation Video Lesson Complete Note Practice Handout Text Solutions Handout solutions
Related Rate Problems Video Lesson Complete Note Practice Handout Text Solutions Handout Solutions
Derivatives of the Natural Logarithm Video Lesson Complete Note
Test Information Test Review Handout
Anti Derivatives Video Lesson Complete Note Practice Problems Solutions (These are from the solution manual that comes with university text books, just so that you can see what you're getting in to)
The Theory Behind Integral Calculus (for your reading pleasure :)) Video Summary here!
Definite Integrals
Extending Your Understanding: Vectors (Linear Algebra)
The Intersection of Three Planes
Gauss-Jordan Elimination
Operations with Matrices
Friday, June 19th will be the last day for reassessments.
MPM 2D - Period 3
Course Outline/Classroom Expectations
Learning Goal/Assessment Information
Reassessment Criteria and Questions
Grade 9 Review
Jan. 31 - BEDMAS, Integers and Fractions Review Review Handout #1 Complete Note
Feb. 3 - Graphing Review Part 1 Review Handout #2 Complete Note
Feb. 4 - Graphing Review Part 2 Review Handout #3 Complete Note
Feb. 5 - Algebra Review Review Handout #4
Feb. 7 - Diagnostic Quiz: Review of Grade 9
Unit 1 - Analytic Geometry
Part 1: Solving Linear Systems of Equations (Ch. 1)
Feb. 6 - 1.1 Representing Linear Relationships Complete Note
Feb. 7 - 1.2 Solving Linear Equations Handout #1
Feb. 10 - 1.3 Graphically Solving Linear Systems of Equations Complete Note
Feb. 11 - More Solving Equations and Solving by Graphing Practice Handout #2
Feb. 12 - Quiz #1: 1.1 to 1.3; 1.4 Solving Linear Systems Using Substitution
Feb. 13 - no school
Feb. 14 - PD Day
Feb. 17 - Family Day
Feb. 18 - 1.4 Continued Complete Note
Feb. 19 - 1.6 Solving Linear Systems Using Elimination Handout #3 (more substitution practice) Complete Note
Feb. 20 - Quiz #2: Solving with Substitution; 1.6 Continued Complete Note Part 2
Feb. 24 - Quiz #3: Elimination; 1.7 Exploring the Ways Lines Can Intersect Complete Note
Feb. 25 - Chapter 1 Review Test Information *Additional review handouts are available in class!
Feb. 26 - Test #1: Solving Linear Systems of Equations
Feb. 27 - Test #1 Corrections Learning From Mistakes Get Ready for Chapter 2 Handout
Part 2: Applications of Linear Systems to Geometry (Ch. 2)
Feb. 28 - 2.1 Midpoint of a Line Segment Complete Note
March 2 - 2.1 Continued: Applications of Midpoint Complete Note
March 3 - 2.2 Length of a Line Segment Complete Note
March 4 - Quiz #4: Applications of Midpoint; 2.2 Continued: Applications of Length Complete Note
March 5 - 2.3 Circles Complete Note
March 6 - Quiz #5: Applications of Length; 2.4 Classifying Figures on a Coordinate Grid & 2.5 Verifying Properties of Geometric Figures
March 9 - Quiz #6: Equations of Circles; 2.6 & 2.7 Using Coordinates to Solve Problems
March 10 - Quiz #7: Applications to Geometry; 2.6 & 2.7 Continued
March 11 - Unit 1 Part 2 Review Test Information
March 12 - Test #2: Applications to Geometry
March 13 - Test #2 Corrections; Get Ready for Quadratics
March 14 to 22 - MARCH BREAK!
Unit 2: Quadratic Relations
Part 1: Introduction to Quadratics (Chapter 3)
3.1 Exploring Quadratic Relations Video Lesson Complete Note
3.2 Properties of Graphs of Quadratic Functions Video Lesson Complete Note
3.3 Factored Form of a Quadratic Relation Video Lesson Complete Note
Quiz #8: Introduction to Quadratic Relations (ask me for a copy if you want to try it and send it back for feedback)
3.4 Expanding Quadratic Expressions Video Lesson Complete Note
3.4 Part 2 Video Lesson Complete Note
3.6 Exploring Quadratic and Exponential Graphs Filled in Handout to check you answers
Chapter 3 Test Information - Test is Monday, April 20th during regular class time! Please read the information posted here!
Part 2: Factoring Quadratic Relations (Chapter 4) Be sure to refer to the calendar for assessment information! There will be three quizzes and an assignment available to you at the appropriate times.
4.1 Common Factors in Polynomials Video Lesson Complete Note
4.1 Continued: Common Factoring by Grouping Video Lesson Complete Note
4.4 Factoring Quadratics Using Decomposition THIS IS THE MOST IMPORTANT LESSON OF THE YEAR - MAKE SURE TO WATCH IT AND PRACTICE, PRACTICE, PRACTICE!!
The activity for 4.3 and 4.5 is loaded here. Please try it first and the look at the completed handout/note below.
4.3 Factoring Simple Trinomials (Shortcut #1) and 4.5 Factoring Quadratics: Special Cases (Shortcuts #2 and #3) Video Lesson Complete Note Complete Handout (Please check your notebook in Teams for the complete handout - there are better options for the stylus in that program, so you can actually read it.)
Part 3: Quadratic Relations in Vertex Form (Ch. 5)
5.1 to 5.3: Graphing Quadratic Relations in Vertex Form
Using Desmos (Video Tutorial) For 5.1: Desmos Activity 1 (and note) Video Lesson 1 Complete Note For 5.2: Desmos Activity 2 (handout) Complete Handout For 5.3: Desmos Activity 3 (and the note) Video for Bellwork Video Lesson 2 Complete Note
5.4 Quadratic Models Using Vertex Form Video Lesson Complete Note
5.5 Solving Problems Using Quadratic Models Video Lesson Complete Note
5.6 Connecting Standard and Vertex Forms Video Lesson Complete Note
Part 4: Solving Problems Using Quadratic Equations (Chapter 6)
6.1 Solving Quadratic Equations Video Lesson Complete Note
6.4 The Quadratic Formula Video Lesson 1 Complete Note 1 Video Lesson 2 Complete Note 2
6.5 Interpreting Quadratic Equation Roots Video Lesson Complete Note
6.6 Solving Problems Using Quadratic Models Video Lesson Complete Note Extra Practice
Unit 3: Trigonometry
7.4 to 7.6 The Primary Trigonometric Ratios Video Lesson 1 Complete Note 1 Video Lesson 2 Complete Note 2
8.1 and 8.2 The Sine Law Video Lesson Complete Note
8.3 and 8.4 The Cosine Law Video Lesson Complete Note
8.5 Solving Acute Triangle Problems Video Lesson Complete Note
Final Summative Assessment Information (Updated May 27th - Please see Edsby for details. This is now an OPTIONAL assignment to IMPROVE your mark :))
June 19th will be the last day for reassessments!
MCV 4U - Period 4
Course Outline/Classroom Expectations
Learning Goals/Assessment Information
Part 1 - An Introduction to Differential Calculus
Jan. 31 - 1.1 Radical Expressions: Rationalizing Denominators Complete Note
Feb. 3 - 1.2 The Slope of a Tangent Complete Note
Feb. 4 - 1.2 Continued
Feb. 5 - 1.3 Rates of Change Complete Note
Feb. 6 - 1.4 The Limit of a Function Complete Note
Feb. 7 - 1.5 Properties of Limits Complete Note
Feb. 10 - Quiz #1: 1.2 to 1.4; 1.5 Continued
Feb. 11 - 1.6 Continuity Complete Note
Feb. 12 - Chapter 1 Review
Feb. 13 - No School
Feb. 14 - PD Day
Feb. 17 - Family Day
Feb. 18 - Chapter 1 Test
Feb. 19 - 2.1 The Derivative Function Complete Note
Feb. 20 - 2.2 The Derivatives of Polynomial Functions Complete Note
Feb. 21 - No School
Feb. 24 & 25 - 2.3 The Product Rule Complete Note
Feb. 26 - 2.4 The Quotient Rule Complete Note
Feb. 27 - Quiz #2: 2.1 to 2.3; 2.4 Continued
Feb. 28 & March 2 - 2.5 The Derivatives of Composite Functions Complete Note
March 3 - Quiz #3: Proof + 2.4 and 2.5; Get Ready for Chapter 5 (Review of Trig and Exponential Functions)
March 4 & 5 - 5.4 The Derivatives of the Sine and Cosine Functions Complete Note
March 6 - 5.5 The Derivative of the Tangent Function Complete Note
March 9 - 5.5 Continued
March 10 - Quiz #4: Derivatives of Trigonometric Functions; Derivatives Review
March 11 - Derivatives Review Test Information
March 12 - Derivatives Test
March 13 - Test Corrections, Get Ready for Chapter 3
Chapter 6 Notes: Please review these and attempt the homework below over your break.
p. 279 #1, 2, 4, 5, 7 – 11
p. 290 #1 – 5, 7, 8 (draw diagrams!!!)
p. 299 #3, 4, 5bc, 7, 9, 10, 13 – 15, 17 – 19 (be sure to have detail in proofs!)
Solutions for homework (6.1 to 6.3)
p. 306 #1 – 4, 6 – 11
p. 316 #2 – 7, 9 – 13, 15
Solutions for homework (6.4, MC Review, 6.5)
p. 324 #1, 3, 5, 7 – 9, 11, 13, 14
p. 332 #1 – 3, 5, 7, 10 – 12, 14
Homework Solutions (6.6 and 6.7)
6.8 Linear Combinations and Spanning Sets
Video Lesson Video #1 Video #2 Complete Note
Homework Solutions 6.8 and Chapter Review
Chapter 7 - Applications of Vectors (April 15 to 28)
7.1 & 7.2 Vectors as Forces (and a bit of Velocity) Video Lesson Complete Note
7.3 The Dot Product of Geometric Vectors Video Lesson Complete Note
7.4 The Dot Product of Algebraic Vectors Video Lesson Complete Note
7.5 Scalar and Vector Projections Video Lesson Complete Note
7.6 The Cross Product Video Lesson Complete Note
Homework Solutions (Homework questions can be found on the calendar!)
Chapter 4: Curve Sketching (and Odds & Ends with Derivatives)
3.1 Higher Order Derivatives Video Lesson Complete Note
3.2 Maximum and Minimum Values on an Interval Video Lesson Complete Note
Homework Solutions for 3.1 and 3.2
Homework Solutions for 3.1 and 3.2 Take 2
4.1 Increasing and Decreasing Functions & 4.2 Critical Points, Local Maxim and Local Minima Video Lesson Complete Note
4.3 Vertical and Horizontal Asymptotes Video Lesson Complete Note
4.4 Concavity and Points of Inflection Video Lesson Complete Note
4.5 An Algorithm for Curve Sketching Video Lesson CORRECTION TO LESSON! Watch this to see the correct intercepts and graph for example 2... sorry :( Please watch the full video as well - the rest is all good Complete Note
Homework Solutions for Chapter 4
5.1 & 5.2 Derivatives of Exponential Functions Video Lesson Complete Note
Homework Solutions for 5.1 & 5.2
"Quest" Information (3.1, 3.2, 5.1, 5.2)
Optimization Problems
*The material from 3.2 is particularly relevant here - when you are determining max/min values remember to consider real life restraints as well as critical values!
3.3 Optimization Problems Video Lesson Complete Note
3.4 Optimization Problems in Science and Economics Video Lesson Complete Note
Extra Videos (send requests as you look at the homework problems)
Chapter 8: Equations of Lines and Planes
8.1 Vector and Parametric Equations of a Line Video Lesson Complete Note
8.2 Cartesian Equation of a Line Video Lesson Complete Note
8.3 Vector, Parametric and Symmetric Equations of a Line in R^3 Video Lesson Complete Note
8.4 Vector and Parametric Equations of a Plane Video Lesson Complete Note
8.5 The Cartesian Equation of a Plane Video Lesson Complete Note
Chapter 8 Quest Information
Chapter 9 + Vector Appendix
Vector Appendix - Matrices (9.2 Systems of Equations) Video Lesson Complete Note
9.2 Systems of Equations Video Lesson Complete Note
9.1 The Intersection of a Line and a Plane and the Intersection of Two Lines Video Lesson Complete Note
9.3 The Intersection of Two Planes Video Lesson Complete Note
9.5 The Distance from a Point to a Line in R^2 and R^3 & 9.6 The Distance from a Point to a Plane Video Lesson Complete Note
Assessment Information
Extending Your Understanding: Calculus
Implicit Differentiation Video Lesson Complete Note Practice Handout Text Solutions Handout solutions
Related Rate Problems Video Lesson Complete Note Practice Handout Text Solutions Handout Solutions
Derivatives of the Natural Logarithm Video Lesson Complete Note
Test Information Test Review Handout
Anti Derivatives Video Lesson Complete Note Practice Problems Solutions (These are from the solution manual that comes with university text books, just so that you can see what you're getting in to)
The Theory Behind Integral Calculus (for your reading pleasure :)) Video Summary here!
Definite Integrals
Extending Your Understanding: Vectors (Linear Algebra)
The Intersection of Three Planes
Gauss-Jordan Elimination
Operations with Matrices
Friday, June 19th will be the last day for reassessments.