Google Classroom code egbztkg invite link
Desmos Classroom MCV4UW-03 and MHF4UW-03
MCV Calculus
MHF Stats and Vectors
Grades 9 - 11 Review Material (from CEMC Courseware and Khan Academy)
MIT Opencourseware for university courses
Problem solving questions (mathematics - in rough order of difficulty)
Fermat (Grade 11) CEMC
Euclid (Grade 12) CEMC
Canadian Math Olympiad (past contests are near the bottom of the page)
Lessons on grade 12 calculus (high school) (also includes part of the Vectors and Statistics course for grade 12 IB) CEMC
Lessons on grade 12 advanced functions (high school) CEMC
Lessons on grade 9, 10, 11 mathematics (high school) CEMC
Keep in mind that grade 11 IB 3UW is a combination of Ontario grade 11 MCR3U and grade 12 Advanced Functions MHF4U
MIT Open Courseware Mathematics for Computer Science (Discrete mathematics)
Unit 5 Day 8 Exercises Intersection of Three Planes # 5, 8, 13, 15, 21
Work period
Unit 5 Day 2 Exercises Lines in 3-Space # 1 - 5, 8, 9 a, 11, 13, 20, 21
Work period
Merged with Mr Husic's class
Class is merged with Mr Husic's class in P125
Work period for vectors practice that was previously assigned:
Unit 4 Day 7 Exercises Projections # 1, 6, 7, 8 a, 12 - 15
Unit 4 Day 6 Exercises Cross Product # 2, 6, 8, 10, 11, 15
Unit 4 Day 5 Exercises Dot Product in 2-Space # 2 - 4, 6 ac, 10 - 14
Unit 4 Day 5 Exercises Dot Product in 3-Space # 3 ab, 4 a, 5, 6, 7, 11, 15, 16
Unit 4 Day 4 Exercises Review and Scaling Vectors # 1 - 3, 5, 6, 8 - 12
Unit 4 Day 3 Exercises Coordinates and Vectors # 1 - 3, 6, 8, 10, 12, 13, 17
Unit 4 Day 2 Exercises Adding and Subtracting Vectors Geometrically # 1 - 5, 9 - 11, 13 - 15, 17, 18
Unit 4 Day 1 Exercises Introduction to Vectors 1 # 1 - 6, 8, 9, 11
Unit 4 Day 1 Exercises Introduction to Vectors 2 # 5, 6, 7, 10
Unit 4 Day 7 Exercises Projections # 1, 6, 7, 8 a, 12 - 15
Unit 4 Day 5 Exercises Dot Product in 2-Space # 2 - 4, 6 ac, 10 - 14
Unit 4 Day 5 Exercises Dot Product in 3-Space # 3 ab, 4 a, 5, 6, 7, 11, 15, 16
Take up exams
Math SL Paper 2 Exam
Graphing Calculator Required
Bring a change of batteries or ensure that calculator is fully charged before exam!
8:30 - 10:15
Math SL Paper 1 Exam
No Calculator
12:15 - 1:45
Take up exam simulation
Simulation 2021 May Paper 2
PD Day
Asynchronous work day on sample exams
Can arrange google meet for support in afternoon
Sample Exams (P1 on p 77, P2 on p 100)
Simulation 2021 May Paper 1
Question collection # 2 for hand in
2020 Nov Paper 1 Not # 7, # 9
Instructional Support Day
Email support only
Instructional Support Day
Optional drop in support during regular class hours
2019 May Paper 1 Not # 2, # 6
Question collection # 1 for hand in
2018 May Paper 1 Not # 6, # 9
Examine solutions for:
May 2013 T1 P1 Not #1, #4, #8
May 2012 T1 P2 Not #3, #5
Check your understanding:
Marbleslides: Rationals Desmos Activity
May 2012 T1 P1 Not #2, #8
Check your understanding:
Match My Exponential Desmos Activity
Finish Exam Prep 2
Warm up:
Finish last question of Exam Prep 1
Marbleslides: Periodics Desmos Activity
Warm up:
Take up Exam Prep 1
Warm up:
Check your understanding:
Unit 11 Day 2 Exercises Additional Problems With Lump Sums # 4, 7, 9 - 11, 16, 18
Warm up:
Unit 11 Day 1 Examples Introduction to Financial Mathematics
Check your understanding:
Unit 11 Day 2 Exercises Additional Problems With Lump Sums # 4, 7, 9 - 11, 16, 18
Warm up:
Check your understanding:
MHF4UI Question Bank as needed: consider sections 1.7, 1.8, 2.6, 2.7, 2.8, 2.9, 2.10, 3.3, 3.4, 4.5, 4.6, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 7.4, 7.5, 7.6, 7.7
Assessment #7
PD Day
For the morning
Asynchronous review for Thursday's assessment
For the afternoon
Google Meet (available through Classroom) at 1:28 - 2:05
Help session for review
Review for Integrals Assessment
Integrals Review Section 1: # 1 odd, 3 - 9, 15, 19; Section 2: # 1 odd, 2 odd, 3 odd, 4 - 13, 15, 17, 18; Section 3: # 5, 8 - 10, 13 - 18
Warm up:
Review for Integrals Assessment
Integrals Review Section 1: # 1 odd, 3 - 9, 15, 19; Section 2: # 1 odd, 2 odd, 3 odd, 4 - 13, 15, 17, 18; Section 3: # 5, 8 - 10, 13 - 18
Warm up:
Unit 4 Day 8 Examples Partial Fractions and Integration by Parts
Check your understanding:
Unit 4 Day 7 Exercises Volumes of Rotation # 2, 3; Problems # 1, 5
Integration by Parts Questions # 1 - 5
Warm up:
Check your understanding:
Warm up:
Check your understanding:
Warm up:
Check your understanding:
Unit 4 Day 5 Exercises Area Between Curves # 1 - 3, 6 - 8, 12; Problems # 2, 6
Warm up:
Check your understanding:
Unit 4 Day 4 Exercises Areas Under Curves #4, 5 - integrate and then find the corresponding area (ignore the request to make an area function), check your answers using WolframAlpha; Problems # 2
Warm up:
Check your understanding:
Unit 4 Day 3 Exercises Problems Involving Motion # 3 odd, 5, 6, 10, 11
Warm up:
Check your understanding:
Unit 4 Day 2 Exercises Differential Equations 7.3 # 1 abce, 2 a-e, 3 ace, 5, 7 bc; Problems # 1
Warm up:
Check your understanding:
Unit 4 Day 2 Exercises Differential Equations 7.3 # 1 a-e, 2 a-e, 3 ace
Warm up:
Check your understanding:
Unit 4 Day 1 Exercises Antiderivatives 10A # 1, 3, 5, 9, 11, 12; 10B # 1 - 5, 7, 8, 11, 12; 10C # 1 - 10
Warm up:
Check your understanding:
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
6.3 Assessment
Check your understanding:
Review material from previous assessments
6.2 Graphing Question Assessment
Snow day
Review material for assessment on Tuesday and Wednesday
6.1 Optimization Question Assessment
Check your understanding:
Focus on graphing preparation for tomorrow since the lesson is not completed yet - do what you can from this practice if you have time
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
PD Day
For the morning
Asynchronous review for Thursday's assessment
For the afternoon
Google Meet (available through Classroom) at 1:28 - 2:05
Help session for review
Review questions:
For Thursday, Feb 17
No calculator
Optimization question
Unit 3 Day 9 Practice # 5 - 18
For Friday, Feb. 18
Graphing question
No calculator
Domain, range, intercepts, asymptotes (vertical, horizontal, oblique), critical values, first derivative test, inflection points, second derivative test, cusps (and other points with undefined first and/or second derivatives)
For Wednesday, Feb 23rd
Graphing calculator
Simple counting, Discrete Random Variables, Conditional probability, Normal Curves (do not include expected value, binomial theorem, or binomial distributions)
Trigonometry, Exponentials, Logarithms, and Calculus most of this can be checked through Desmos and Wolfram Alpha - also practice fundamental trig limit
Warm up:
Check your understanding:
Unit 3 Day 6 Exercises Binomial Theorem 1 5.5 # 1 abcd, 2 acde; 5.6 # 1 abcd, 3, 4, 5, missing answers are 4b (6y)/x, 5a 5th, 5b 7th, 5c none
Warm up:
Check your understanding:
Unit 3 Day 5 Exercises Expected Value 1 7.2 # 3, 7, 8
Warm up:
Check your understanding:
Unit 3 Day 9 Practice # 15 - 18
Warm up:
Check your understanding:
MHF4UI Question Bank sections for trigonometry as needed
Warm up:
Finish last example of Unit 3 Day 4 Examples Probability Functions
Check your understanding:
Unit 3 Day 4 Exercises Probability Functions Finite 7.1 # 1, 2, 6, 8, 12
MHF4UI Question Bank sections for trigonometry as needed
Start working on your IA revisions
Snow Day
Review Calculus and Probability material
Test # 5 Optional - located in Google Classroom
Check your understanding:
Review previous material
Start revising IAs where possible
Unit 2 Day 9 Examples Exponentials and Logarithms Derivatives
Check your understanding:
Unit 2 Day 9 Exercises Exponentials and Logarithms Derivatives Exponentials # 3 - 9; Logarithms # 3 - 5, 7 - 10
Unit 3 Day 8 Graphing Questions # 2 ghilm check your results in Desmos
Warm up:
Check your understanding:
Unit 3 Day 3 Extra Conditional Probability Practice 2 8G # 3, 5, 8, 9 ; 8H # 1, 3, 5, 6
Unit 3 Day 3 Practice and Day 1 - 3 Answers # 1 - 8, 10, 11 - 16
Warm up:
Unit 2 Day 8 Examples Exponentials and Logarithms Properties
Check your understanding:
Unit 3 Day 7 Graphing Questions # 3 check your results in Desmos
MHF4UI Question Bank sections for exponentials and logarithms as needed
Warm up:
Unit 3 Day 6 Examples Calculus with Velocity and Acceleration
Check your understanding:
Unit 3 Day 1 and Day 2 Practice Ex 15.2 # 1, 3, 4, 6, 8, 11
Unit 3 Day 6 Exercises Calculus with Velocity and Acceleration # 3, 4, 6, 7, 10, 14
Check-in for today
Check your understanding:
Review optimization and higher order derivatives practice
Check your understanding:
Unit 3 Day 5 Exercises Higher Order Derivatives # 35 - 40, 41, 42
Internal Assessment due today
Practice questions for optimization and graphing
Check your understanding (same as yesterday):
Unit 3 Day 4 Practice # 10 - 14
Unit 3 Day 7 Graphing Questions # 3 check your results in Desmos; review # 1 and # 2 as needed
Warm up:
Check your understanding:
Unit 3 Day 4 Practice # 10 - 14
Unit 3 Day 7 Graphing Questions # 3 check your results in Desmos; review # 1 and # 2 as needed
Time for IA completion and questions
Schools closed by government mandate
No remote classes
Use this time to complete your Internal Assessments
Due Friday, 07 Jan 2022
Warm up:
Revisit graphing problem from yesterday
Check your understanding:
Unit 3 Day 1 and Day 2 Practice Ex 15.1 # 1 - 7, 9, 11, 13
Warm up:
Check your understanding:
Unit 3 Day 3 Graphing Questions # 2 abcdef check your results in Desmos
Warm up:
Check your understanding:
Unit 2 Day 7 Exercises Implicit Differentiation # 2 adgjm, 3 - 9
Warm up:
Check your understanding:
Unit 2 Day 6 Practice Chain Rule # 2 abcd, 3 abcd, 4 abcd, 6 - 12
Warm up:
IA Proposals Due
Check your understanding:
Warm up:
IA Topic Due
IA Day
Test #3
Finish Unit 1 Day 6 Normal Distributions and Inverse Problems
Unit 1 Day 6 Examples Normal Distributions and Inverse Problems
Check your understanding:
Unit 1 Day 6 Exercises Normal Distributions and Inverse Problems 14H # 1, 2, 3a, 4a, 5a; 14I # 1a, 2b, 3c; 14J # 1 - 4; 14K # 1 - 3; 14L # 1 - 5; 14M # 1 - 8
Assessment Topics
Limits
Substitution, factoring, rationalization, one-sided limits, change-of-variable, applications and interpretation, limits to infinity (infinite sequences)
Review Questions: Limits - any as needed - note this is only basic limits and conceptual questions
Additional Limits Questions - all questions except #8
Additional Limits Questions 2 - any as needed
Derivatives
Definition, power rule, sum/difference rules, constant rule, product rule, quotient rule, applications and interpretation
Review Questions: Derivatives - any as needed - does not include power of a function rule
Applications of Calculus
Graphing basic functions, asymptote table, first derivative table, optimization
Review Questions: Applications of Calculus - any questions except those with trig, exponentials, logarithms, second derivative test, inflection points. For optimization, only 311 - 315, 317, 318, 324, 325, 337 - 340.
Unit 3 Graphing Questions - 1 ab, 2 ab def h jklmn
Statistics
Mean, median, mode, standard deviation, variance, box-and-whisker, cumulative frequency, linear regression, weighted means
Unit 1 Day 8 Exercises Consolidation Statistics - any as needed
Sequences and Series
Arithmetic, geometric, recursive
Review Questions: Sequences and Series - any except infinite series
Sample questions (not including problem solving page)
Warm up:
Check your understanding:
Unit 3 Day 2 Practice # 5 - 9
Warm up:
Check your understanding:
Unit 1 Day 5 Practice 6I # 2, 3, 5, 6; 6J # 2 - 5
Check your understanding:
Warm up:
Check your understanding:
Unit 3 Day 1 Practice # 4 abcd (at top of page) and graph the functions as much as you can without a GCD or Desmos; # 3 ab, 5 acdef, 7 abcdef (also find other characteristics - domain, range, intercepts), 8
Check your results in Desmos
Warm up:
Check your understanding:
Warm up:
IA exemplars shared in Google Classroom
Check your understanding:
Unit 1 Day 4 Practice 7B # 3, 6; 7C # 2 (note: eyeball your line of best fit, don't use least squares); 7D # 5, 6, 7
Assessment # 2
Warm up:
Check your understanding:
Review previous practice material
Warm up:
Check your understanding:
Warm up:
Check your understanding:
Warm up:
Check your understanding:
Practice the Polya thinking method (or another of your choosing) with the following questions
Remember that the thinking and struggle - not the answer - is the point!
Unit 2 Day 2 Exercises Techniques of Problem Solving Polynomials # 5 - 11; # 12 - 20 are more challenging and should be considered optional (but rewarding)
Warm up:
Check your understanding:
Unit 2 Day 3 Exercises Reviewing Derivatives # 1 - 4, 9, 12 - 15, 25, 26, 28
Warm up:
Check your understanding:
Unit 10 Day 3 Exercises Arithmetic and Geometric Series 1K # 1, 2, 6, 7, 9 ab
Warm up:
CEMC Limits lessons (except limits to infinity)
Check your understanding:
Warm up:
Finish Unit 10 Day 2 Arithmetic and Geometric Sequences (for geometric)
Unit 1 Day 3 Cumulative Frequency and Measures of Dispersion
Unit 1 Day 3 Examples Cumulative Frequency and Measures of Dispersion
Check your understanding:
Unit 10 Day 2 Exercises Arithmetic and Geometric Sequences 9.2 # 1 - 5 (abc each), 7, 10, 11, 12, 15, 16; 9.3 # 1 - 5 (abc each), 6, 7, 9, 15, 16
Unit 1 Day 3 Statistics Practice p. 274 # 1 - 6
Assessment # 1
Check your understanding:
Unit 10 Day 2 Exercises Arithmetic and Geometric Sequences 9.2 # 1 - 5 (abc each), 7, 10, 11, 12, 15, 16; 9.3 # 1 - 5 (abc each), 6, 7, 9, 15, 16 (only arithmetic for today)
Factoring, polynomial division, polynomial equation solving, algebraic topics - this will be in the context of evaluating limits
Arithmetic and geometric sequences
Concept and techniques of limits, continuity
Concept and techniques of derivatives
Basic statistical tools
Check your understanding:
MHF4UI Question Bank Sections 1.4, 1.5, 2.1, 2.2, 2.3
Unit 10 Day 1.5 Review Questions # 1 - 23 as needed
Unit 2 Day 1.5 Additional Derivatives Practice # 1 - 16 as needed
Unit 3 Day 2.5 Additional Limits Questions # 1 - 3, 8 - 12, 15 - 18 as needed
Unit 1 Day 2.5 Additional Statistics Questions # 1 - 6, 17, 18
Warm up:
Check your understanding:
Warm up:
Check your understanding:
Unit 1 Day 2 Statistics Practice p. 265 # 1, 3, 5, 6; p. 270 # 1,3
Unit 10 Day 1 Exercises Introduction to Sequences All picture questions; Ex 1A # 1 - 3; Ex 1B # 1, 2; Ex A # 1 - 5 (as needed)
Stats warm up:
Share data with class from the previous lesson
Check your understanding:
Additional Resources:
If you need to review factoring and polynomial division, then also look at the following:
Calculus warm up:
Check your understanding:
Work on your social phenomena and supporting data to share for the next lesson
Warm up:
Math and CS Contests:
Check your understanding:
MCV Preview Questions # 1 - 4, 7 - 10, 12 - 17, 21 - 31
MHF4UI Question Bank - make list of topics and questions that you need to reinforce
Welcome!
Unit 2 Day 1 Introduction to Grade 12 IB and Problem Solving
Online resources
Google Classroom code egbztkg invite link
Desmos Intro for Students
Please complete the Information Questionnaire