Google Classroom code 7xujb7z invite link
MCV Calculus
MHF Stats and Vectors
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)
Warm up:
Practice
Unit 5 Day 6 Exercises Intersection of Two Planes # 1 - 3, 6, 8, 9, 11
Unit 5 Day 7 Exercises Intersection of Lines and Planes # 4, 6, 8, 14, 15
Warm up:
Unit 4 Day 11 Examples Application of Vectors to Velocity and Forces
Practice
Unit 5 Day 5 Exercises Planes 2 # 3, 4, 12, 13, 15, 17 c, 22
Unit 4 Day 11 Exercises Application of Vectors to Velocity and Forces Section 2: # 4; Section 3: # 2, 3, 6, 8, 9, 14 - 17, 19, 20; Section 4: # 5- 8, 11, 12, 14, 15
Warm up:
Practice
Unit 5 Day 4 Exercises Intersection of Lines in 3-Space # 12 - 15, 22, 23
Unit 4 Day 10 Exercises Consolidation of Vectors # 2, 4, 7 - 11, 15, 17
Warm up:
Practice
Unit 5 Day 2 Exercises Lines in 3-Space # 1 - 5, 8, 9 a, 11, 13, 20, 21
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 5 Day 3 Exercises Introduction to Planes # 3 - 7, 9 - 11
Warm up:
Practice
Unit 4 Day 7 Exercises Projections # 1, 6, 7, 8 a, 12 - 15
Unit 4 Day 8 Exercises Velocity and Forces Section 1: # 9, 11; Section 2: # 2, 3; Section 3: # 5, 8, 10 - 13, 18; Section 4: # 1- 4, 9, 10, 13
Warm up:
Practice
Unit 4 Day 6 Exercises Cross Product # 2, 6, 8, 10, 11, 15
Unit 5 Day 1 Exercises Introduction to Lines with Vectors # 2 - 5, 7 - 11, 14
Warm up:
Practice
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
Warm up:
Unit 4 Day 8 Examples Partial Fractions and Integration by Parts
Practice
Integration by Parts Questions # 1 - 5
Unit 4 Day 4 Exercises Review and Scaling Vectors # 1 - 3, 5, 6, 8 - 12
Warm up:
Practice
Unit 4 Day 7 Exercises Volumes of Rotation # 2, 3; Problems # 1, 5
Unit 1 Day 8 Exercises Consolidation of Statistics Section 1: # 1 - 4, 7 - 9, 12, 13, 17 - 20, 23, 25; Section 2: # 1, 4, 9, 11, 14, 15
Practice
Unit 4 Day 3 Exercises Coordinates and Vectors # 1 - 3, 6, 8, 10, 12, 13, 17
Practice
Unit 4 Day 5 Exercises Area Between Curves # 1 - 3, 6 - 8, 12; Problems # 2, 6
Unit 2 Day 3 Exercises Improving Mathematical Thinking First Set: # 63, 64, 65; Second Set: # 1 - 10
Unit 4 Day 2 Examples Adding and Subtracting Vectors Geometrically
Assessment 5
Practice
Unit 4 Day 2 Exercises Adding and Subtracting Vectors Geometrically # 1 - 5, 9 - 11, 13 - 15, 17, 18
Warm up:
Practice
Unit 4 Day 4 Exercises Areas Under Curves #4, 5 - integrate and then find the corresponding area, check your answers using WolframAlpha; Problems # 2
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:
IA Final Copy Due
Practice
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 3 Exercises Problems Involving Motion # 3 odd, 5, 6, 10, 11
Warm up:
Practice
Unit 4 Day 2 Exercises Differential Equations 7.3 # 1 a-e, 2 a-e, 3 ace, 5, 7 bc; Problems # 1
Warm up:
Practice
Unit 2 Day 12 Practice Logarithmic Differentiation p 326: # 2, 3; p 330: # 2, 5, 6, 7, 9, 10
Unit 4 Day 1 Exercises Antiderivatives 10A # 1, 3, 5, 9, 11, 12; 10B # 1 - 5, 7, 8, 11, 12; 10C # 1 - 10
Consolidation for afternoon
Practice
Unit 3 Day 7 Exercises Binomial Distribution 1 14D # 3, 7; 14E # 2, 4; 14F # 1, 3
Assessment 4
Warm up:
Practice
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 9 Practice # 15 - 18
Additional Resources:
Practice
Warm up:
Practice
Unit 3 Day 8 Graphing Questions # 2 ghilm check your results in Desmos
Unit 3 Day 4 Exercises Probability Functions Finite 7.1 # 1, 2, 6, 8, 12
MHF4UI Question Bank sections for trigonometry as needed
Assessment 3
Practice
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
Unit 2 Day 8 Answer Key Exponentials and Logarithms Properties
Unit 2 Day 9 Examples Exponentials and Logarithms Derivatives
Practice
MHF4UI Question Bank sections for exponentials and logarithms as needed
Unit 2 Day 9 Logarithms Derivatives # 3 - 5, 7 - 10
Unit 3 Day 8 Graphing Questions # 2 ghilm check your results in Desmos
Additional Resources:
Warm up:
Marbleslides: Derivatives Desmos Activity
IA Draft Due by 3 pm
Practice
Unit 3 Day 7 Graphing Questions # 3 check your results in Desmos
Warm up:
Unit 3 Day 6 Examples Calculus with Velocity and Acceleration
Practice
Unit 3 Day 1 and Day 2 Practice Ex 15.2 # 1, 3, 4, 6, 8, 11
Unit 3 Day 4 Practice # 10 - 14
Volume of a Closed Box Desmos Activity
Unit 3 Day 5 Exercises Higher Order Derivatives # 35 - 40, 41, 42
Unit 3 Day 6 Exercises Calculus with Velocity and Acceleration # 3, 4, 6, 7, 10, 14
Additional Resources:
Unit 1 Day 7 Examples Normal Distributions and Inverse Problems
Practice
Unit 1 Day 7 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
Unit 3 Day 1 and Day 2 Practice Ex 15.1 # 1 - 7, 9, 11, 13
Warm up:
Start Unit 1 Day 7 Normal Distributions and Inverse Problems
Practice:
Unit 2 Day 7 Exercises Implicit Differentiation # 2 adgjm, 3 - 9
Unit 3 Day 3 Graphing Questions # 2 abcdef check your results in Desmos
Warm up:
Practice:
Infinite Series Practice Unit 1 Day 6 p 56, p 57, ans 1, ans 2 # 1, 2, 3 odd, 4 - 7
Unit 2 Day 6 Practice Chain Rule # 2 abcd, 3 abcd, 4 abcd, 6 - 12
Assessment 2 (in-class at school, online at home assigned through Google Classroom)
Complete your IA proposal and hand-in today!
Warm up:
Practice
Unit 3 Day 1 Practice # 4 abcd (at top of page), # 3 ab, 5 acdef, 7 abcdef (also find other characteristics - domain, range, intercepts), 8
Check your results in Desmos
Unit 1 Day 5 Practice 6I # 2, 3, 5, 6; 6J # 2 - 5
Additional Resources:
Warm up:
Practice
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
Additional Resources:
Assessment 1 Part 2 (in-class only)
Unit 1 Day 3 Cumulative Frequency and Measures of Dispersion
Unit 1 Day 3 Examples Cumulative Frequency and Measures of Dispersion
Practice
Unit 1 Day 3 Statistics Practice p. 274 # 1 - 6
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:
Limits: True or False Desmos Activity
Limits and Continuity Desmos Activity
Sketchy Derivatives Desmos Activity
Unit 1 Day 3 Cumulative Frequency and Measures of Dispersion
Practice
Unit 2 Day 3 Exercises Reviewing Derivatives # 1 - 4, 9, 12 - 15, 25, 26, 28
Unit 1 Day 2 Statistics Practice p. 265 # 1, 3, 5, 6; p. 270 # 1,3
Additional Resources:
Warm up:
Practice:
Additional Resources:
If you need to review factoring and polynomial division, then also look at the following:
Welcome!
Unit 2 Day 1 Introduction to Grade 12 IB and Problem Solving
Online resources
Please complete the Information Questionnaire
Please complete the activity in Desmos Classroom - Getting to Know Each Other
Practice:
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
Work on your social phenomena and supporting data to share for the next lesson