Google Classroom code umpvvdu invite link
Desmos Classroom MCV4UW-03 and MHF4UW-03
Grades 9 - 11 Review Material (from CEMC Courseware and Khan Academy)
Internal Assessment
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)
Intense mathematical work!
Grad Breakfast
Unit 4 Day 9 Exercises Dot Product Properties # 1, 2, 6, 8, 15, 16
Unit 4 Day 9 Exercises Cross Product Properties # 2, 4 - 9, 13
Unit 4 Day 10 Exercises Consolidation of Vectors # 2, 4, 7 - 11, 15, 17
Work period for vectors practice that was previously assigned
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
Unit 4 Day 7 Exercises Volumes of Rotation # 2, 3; Problems # 1, 5
IB Exam Part 2
Graphing Calculators
Make sure they are fully charged or have spare batteries (depending on model)
Clear memory before the exam
Exam 12:00 noon
Be at cafe by 11:45 pm
IB Exam Part 1
No Calculators
Exam 1:00 pm
Be at cafe by 12:45 pm
Additional Sample Exams (P1 on p 77, P2 on p 100)
2020 Nov Paper 1 Not # 7, # 9
2019 May Paper 1 Not # 2, # 6
2018 May Paper 1 Not # 5b, # 6, # 9
2017 May Paper 2 Not # 2
2017 May Paper 1 Not # 8
May 2016 T1 P2 Not #10
May 2013 T1 P1 Not #1, #4, #8
May 2012 T1 P2 Not #3, #5
May 2012 T1 P1 Not #2, #8
Take up exams
Additional Sample Exams (P1 on p 77, P2 on p 100)
Simulation 2022 May Paper 2
Simulation 2022 May Paper 1
PA Day
Students stay at home
2020 Nov Paper 1 Not # 7, # 9
Instructional Support Day
Students stay at home
Instructional Support Day
Students stay at home
2019 May Paper 1 Not # 2, # 6
Partial simulation - minimize help during exam
Partial simulation - minimize help during exam
2018 May Paper 1 Not # 5b, # 6, # 9
May 2012 T1 P2 Not #3, #5
May 2012 T1 P1 Not #2, #8
No seating plan for today
Warm up:
No calculator
Paper 1 questions, all levels of difficulty
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
Warm up:
Check your understanding:
Unit 11 Day 2 Exercises Additional Problems With Lump Sums # 4, 7, 9 - 11, 16, 18
Test # 7 Integrals
No seating plan today
Warm up:
Unit 11 Day 1 Examples Introduction to Financial Mathematics
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
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 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 4 Day 1 Exercises Antiderivatives 10A # 1, 3, 5, 9, 11, 12; 10B # 1 - 5, 7, 8, 11, 12; 10C # 1 - 10
Test # 6
Blended Learning Day
Warm up:
Topics for Tuesday's test:
Work through questions as needed
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
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
Unit 3 Day 5 Exercises Expected Value 1 7.2 # 3, 7, 8
Unit 3 Day 4.5 Practice Focus on trig/log/exponential optimization questions
Unit 2 Day 11 Exercises Trigonometry and Derivatives # 1, 2, 3; Trig Limits # 39 - 48 as needed; Section 3.5 as needed
Unit 3 Day 4 Exercises Probability Functions Finite 7.1 # 1, 2, 6, 8, 12
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:
Check your understanding:
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
Snow day
Review for Tuesday test
Warm up:
Topics for next week's test:
Work through questions as needed
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
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
Unit 3 Day 5 Exercises Expected Value 1 7.2 # 3, 7, 8
Unit 3 Day 4.5 Practice Focus on trig/log/exponential optimization questions
Unit 2 Day 11 Exercises Trigonometry and Derivatives # 1, 2, 3; Trig Limits # 39 - 48 as needed; Section 3.5 as needed
Unit 3 Day 4 Exercises Probability Functions Finite 7.1 # 1, 2, 6, 8, 12
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:
Check your understanding:
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
Warm up:
Unit 2 Day 13 Applications of Derivatives to Advanced Functions
Unit 2 Day 13 Examples Applications of Derivatives to Advanced Functions
Check your understanding:
Unit 2 Day 13 Exercises Applications of Derivatives to Advanced Functions # 1, 2, 3, 6; # 11 - 15
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
Check your understanding:
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
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
Unit 3 Day 4.5 Practice As needed
Warm up:
Check your understanding:
Unit 3 Day 9 Practice # 15 - 18
Unit 3 Day 4.5 Practice As needed
Warm up:
Check your understanding:
Unit 2 Day 11 Exercises Trigonometry and Derivatives # 1, 2, 3; Trig Limits # 39 - 48 as needed; Section 3.5 as needed
Warm up:
Check your understanding:
MHF4UI Question Bank sections for trigonometry as needed
Warm up:
Check your understanding:
MHF4UI Question Bank sections for trigonometry as needed
Warm up:
Check your understanding:
Unit 3 Day 4 Exercises Probability Functions Finite 7.1 # 1, 2, 6, 8, 12
Test # 5
Topics for Test # 5:
Derivatives with logarithms and exponential functions
Optimization
Velocity and acceleration
Venn diagrams, principle of inclusion and exclusion
Conditional probability
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
Graphing Assessment
Warm up:
Check your understanding:
Unit 3 Day 8 Graphing Questions # 2 ghilm check your results in Desmos
Check your understanding:
Unit 3 Day 8 Graphing Questions # 2 ghilm check your results in Desmos
Warm up:
Finish Unit 2 Day 9 Examples Exponentials and Logarithms Derivatives
Check your understanding:
Unit 3 Day 8 Graphing Questions # 2 ghilm check your results in Desmos
Warm up:
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
Warm up:
Unit 2 Day 9 Examples Exponentials and Logarithms Derivatives
Check your understanding:
Unit 2 Day 9 Exercises Exponentials and Logarithms Derivatives Exponentials # 3 - 9
Schools are closed due to the weather
Have a great winter break everyone!
Warm up:
Check your understanding:
Unit 3 Day 1 and Day 2 Practice Ex 15.2 # 1, 3, 4, 6, 8, 11
Take up Assessment # 4
Assessment # 4
Consolidation for Assessment # 4
Warm up:
Check your understanding:
Unit 3 Day 4 Practice # 5 - 15
Unit 3 Day 4.5 Practice As needed
Buses cancelled
Question posted in Google Classroom
Warm up:
Check your understanding:
Unit 3 Day 4 Practice # 5 - 15
Unit 3 Day 4.5 Practice As needed
Warm up:
Unit 2 Day 8 Examples Exponentials and Logarithms Properties
Check your understanding:
MHF4UI Question Bank sections for exponentials and logarithms as needed
Check your understanding:
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 7 Graphing Questions # 3 check your results in Desmos; review # 1 and # 2 as needed
Warm up:
Unit 3 Day 6 Examples Calculus with Velocity and Acceleration
Check your understanding:
Unit 3 Day 6 Exercises Calculus with Velocity and Acceleration # 3, 4, 6, 7, 10, 14
Check your understanding:
Unit 3 Day 7 Graphing Questions # 3 check your results in Desmos; review # 1 and # 2 as needed
Blended Learning Day
Asynchronous in morning - work on independent practice
Afternoon virtual @ 11:50 - 12:25 access through Classroom
Warm up:
Check your understanding:
Unit 3 Day 1 and Day 2 Practice Ex 15.1 # 1 - 7, 9, 11, 13
Unit 3 Day 6 Examples Calculus with Velocity and Acceleration
Check your understanding:
Unit 3 Day 6 Exercises Calculus with Velocity and Acceleration # 3, 4, 6, 7, 10, 14
Warm up:
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 1 and Day 2 Practice Ex 15.1 # 1 - 7, 9, 11, 13
Warm up:
Check your understanding:
Unit 3 Day 5 Exercises Higher Order Derivatives # 35 - 40, 41, 42
Assessment # 3
Review for Assessment # 3 on Wednesday
Check your understanding:
Unit 3 Day 4 Practice # 10 - 14
Check your understanding:
Unit 3 Day 3 Graphing Questions # 2 abcdef check your results in Desmos
Warm up:
Check your understanding:
Unit 3 Day 3 Graphing Questions # 2 abcdef check your results in Desmos
Warm up:
Check your understanding:
Unit 3 Day 3 Graphing Questions # 2 abcdef check your results in Desmos
Warm up:
Work period for practice
Warm up:
Finish Unit 2 Day 6 Chain Rule
Check your understanding:
Unit 2 Day 6 Practice Chain Rule # 2 abcd, 3 abcd, 4 abcd, 6 - 12
Warm up:
Check your understanding:
Unit 2 Day 6 Practice Chain Rule # 2 abcd, 3 abcd, 4 abcd, 6 - 12
Instructional Support Days
Work on your IA topics
Warm up:
Check your understanding:
Work on IA proposal today - Due Monday, Dec 5th
Warm up:
Check your understanding:
Assessment # 2
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 - these do not include power of a function rule
Applications of Calculus
Graphing basic functions, first derivative table
Not optimization or asymptote table for this assessment
Review Questions: Applications of Calculus - any questions except those with trig, exponentials, logarithms, second derivative test, inflection points.
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
Infinite Sequences
Review Questions: Sequences and Series - only infinite sequences
Sample questions (not including problem solving page)
Warm up:
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
Warm up:
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
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:
Unit 3 Day 1 Practice Attempt the practice with asymptote chart for any rational functions, and first derivative test where possible
# 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:
Unit 1 Day 5 Practice 6I # 2, 3, 5, 6; 6J # 2 - 5
Warm up:
Additional Resources:
Check your understanding:
Warm up:
Check your understanding:
Finish Unit 2 Day 4 Product Rule
Additional Resources:
Check your understanding:
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, then see how that compares with a least squares fit); 7D # 5, 6, 7
Additional Resources:
Check your understanding:
Warm up:
Check your understanding:
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:
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:
Complete Unit 2 Day 2 Derivatives Rules
Additional Resources:
Check your understanding:
Warm up:
Guidance visit for applying to universities
Warm up:
Take up IB Problem Solving Questions 3
Complete 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 1 Day 3 Statistics Practice p. 274 # 1 - 6
Assessment # 1
Additional Review Questions
Additional Limits Questions # 1 - 5
Additional Limits Questions 2 Ex 1.4 # 3 - 15; Ex 1.5 # 3, 4, 6, 7, 9, 10, 16; Ex 1.6 # 7, 8, 10, 11
Unit 1 Day 2.5 Additional Statistics Questions # 1 - 6, 17, 18
Another set of limit questions # 1 - 3, 5 - 7, 9 - 12; check your results with Desmos
Warm up:
Additional Resources:
CEMC Limits lessons (except limits to infinity)
Check your understanding:
Additional Review Questions
Additional Limits Questions # 1 - 5
Additional Limits Questions 2 Ex 1.4 # 3 - 15; Ex 1.5 # 3, 4, 6, 7, 9, 10, 16; Ex 1.6 # 7, 8, 10, 11
Unit 1 Day 2.5 Additional Derivatives Review Questions # 1, 2, 3
Unit 1 Day 2.5 Additional Statistics Questions # 1 - 6, 17, 18
Warm up:
Additional Resources:
Check your understanding:
Warm up:
Additional Resources:
Warm up:
Check your understanding:
Unit 2 Day 2 Practice Skew # 1 - 5
Unit 1 Day 2 p 27, p 28, p 29, ans # 1, 2, 3, 4 odd, 5 - 9, 13, 14
Picture Day today at 8:25
Check your understanding:
Unit 1 Day 2 Statistics Practice p. 265 # 1, 3, 5, 6; p. 270 # 1,3 practice getting the statistical measures using calculator and/or spreadsheets
Unit 1 Day 2 Practice Skew # 1 - 5
Warm up:
Share social phenomenon data with class from the previous lesson
Check your understanding:
Continue with meta-cognition from last week's practice
Warm up:
Continue with Unit 1 Day 1 Introduction to Statistics
Check your understanding:
Continue with meta-cognition from last week's practice
Calculus warm up:
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
Warm up:
Please complete the Information Questionnaire
Finish Unit 2 Day 1 Introduction to Grade 12 IB and Problem Solving
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
Unit 2 Day 1 Introduction to Grade 12 IB and Problem Solving
Online resources
Google Classroom code umpvvdu invite link
Desmos Intro for Students