Google Classroom code 644k2rr invite link
Desmos Classroom MCR3UW-03
MCR Outlines
Grade 9 and 10 Review (based on CEMC Courseware)
Openstax free mathematics textbooks and practice questions
MIT Opencourseware for university courses
Problem solving questions (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
Warm up:
Day 3 of optional assessment: problem solving
Warm up:
Day 2 of optional assessment
Check your understanding:
PF14 Previous material for practice on inequalities
PF10 Solving Inequalities MHF4UI Question Bank Ex 7.3 # 1, 2, 3, 6, 8
Warm up:
Day 1 of optional assessment
Warm up:
Check your understanding:
Review previous strands for optional assessment for tomorrow
Warm up:
Check your understanding:
PF13 Function Combinations MHF4UI Question Bank Ex 7.4 # 1 - 6 graphing the results and finding all characteristics, 10, 11; Ex 7.5 # 15, 16
PF13 Function Combinations Stewart Calculus Problems # 23, 24, 29, 30, 33, 34, 35, 36 for each question graphing the resulting function and finding all characteristics where possible (some of these will be very tough!)
Warm up:
Point Collector: Lines Desmos Activity
Check your understanding:
PF12 Exercises Radical Equations Ex 3.8 # 1 - 9 as needed
Warm up:
Check your understanding:
PF11 Exercises Absolute Value Equations Ex 3-6 # 2, 3, 8, 9, 10 - odds only for each question; Ex 3-7 # 2, 3, 6 odds only for each question, 7, 8
Warm up:
Check your understanding:
PF11 Exercises Absolute Value Equations Ex 3-6 # 2, 3
Warm up:
Penny Circle Desmos Activity
Check your understanding:
Warm up:
Compound Inequalities on the Number Line Desmos Activity
Finish PF10 Polynomial Inequalities
Check your understanding:
PF10 Solving Inequalities MHF4UI Question Bank Ex 7.3 # 1, 2, 3, 6, 8
Warm up:
Constructing Polynomials Desmos Activity
Check your understanding:
Review previous material
Warm up:
Check your understanding:
T11 Ambiguous Case of Sine Law p. 308 # 1 - 19 as needed
Warm up:
Check your understanding:
Changing the Question MHF4UI Question Bank Ex 1.9 # 1 - 11
Warm up:
Match Function Combinations and Graphs Desmos Activity
Check your understanding:
E9 Exercises MHF4UI Question Bank Ex 4.4 # 8, 9; Ex 4.8 # 1 - 12; Ex 4.10 # 15 - there is a lot of overlap with E8 - complete as needed
E9 Logarithms Worksheet Ex 7.3 # 1 - 11
Warm up:
For those writing the alternate assessment tomorrow:
Calculators are allowed on the assessment
CAST rule using reciprocal ratios (secant, cosecant, cotangent) and standard angles
Factor theorem
Function transformations with sine or cosine graph
Trig identities
Trig equations (linear and/or quadratic)
Exponential/logarithm equations (linear and/or quadratic)
Not linear inequalities
Not function inverses
Not function combinations (unless in problem solving)
Not trig modelling (unless in problem solving)
Not sequences/series (unless in problem solving)
Not ambiguous sine law (unless in problem solving)
Warm up:
Marbleslides: Exponentials Desmos Activity
Check your understanding:
E8 Solving Equations Exponentials and Logarithms MHF4UI Question Bank Ex 4.4 # 8; Ex 4.8 # 1 - 12 as needed
Warm up:
Check your understanding:
Assessment # 6
Warm up:
Finish CYU 2022 May 24
Check your understanding:
T10 Trig Equations MHF4UI Question Bank Ex 6.8 # 9 - 27 odds except 11 (notice that # 15 doesn't factor with rationals!)
Review topics for assessment # 6:
Calculators allowed on the assessment
CAST rule using reciprocal ratios (secant, cosecant, cotangent) and standard angles
Factor theorem
Function transformations with sine or cosine graph
Trig identities
Trig equations (linear and/or quadratic)
Exponential/logarithm equations (linear and/or quadratic)
Not linear inequalities
Not function inverses
Not function combinations (unless in problem solving)
Not trig modelling (unless in problem solving)
Not sequences/series (unless in problem solving)
Not ambiguous sine law (unless in problem solving)
Warm up:
Finish CYU 2022 May 24
Warm up:
Check your understanding:
T10 Trig Identities MHF4UI Question Bank Ex 6.5 # 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Warm up:
Check your understanding:
PF9 Solving Equations Exponentials and Logarithms MHF4UI Question Bank Ex 4.8 # 6 - 12
PF9 Solving Equations Trigonometry MHF4UI Question Bank Ex 6.8 # 13 - 20, 26, 31, 32
PF9 Solving Equations Polynomials MHF4UI Question Bank Ex 2.4 # 7, 9, 11; Ex 2.5 # 1 even, 2Warm up:
PD Day
Only for students not writing Chemistry exam
Asynchronous consolidation day
Warm up:
Check your understanding:
T9 Trig Identities MHF4UI Question Bank Ex 6.5 # 2, 5, 8, 11, 14, 17, 21
Warm up:
Check your understanding:
PF8 Polynomial Characteristics MHF4UI Question Bank Ex 1.9 # 1 - 11 as needed; Ex 2.4 # 1 - 4, 5 odd, 7, 9, 11; Ex 2.5 # 1 odd, 3
Warm up:
Finish TF7 Function Combinations
Check your understanding:
TF7 Function Combinations MHF4UI Question Bank Ex 7.4 # 3 - 6, 8, 9 - 12; Ex 7.6 # 1 - 7
Warm up:
Check your understanding:
Review previous material
Warm up:
Check your understanding:
Warm up:
Complete T7 Burning Daylight Desmos activity on modelling using trigonometric functions
Check your understanding:
Warm up:
Check your understanding:
T8 Trig Identities MHF4UI Question Bank Ex 6.5 # 1, 4, 7, 10, 13, 16
Literacy Test Day
Asynchronous consolidation day
Assessment # 5
Warm up:
Function Transformations: Practice with Symbols Desmos Activity
Review Topics for Assessment # 5 (no calculators):
CAST Rule
First question - evaluate a trig ratio of a special angle
Second question - find the infinite number of angles that solve a simple trig equation
Functions - domain, range
Function transformations (exponential, logarithm, trig, basic functions)
Function composition
Logarithm properties
Polynomial division, remainder theorem, factor theorem
Solving equations
Series - arithmetic and geometric
Ambiguous case of sine law
Warm up:
Check your understanding:
TF4 Transformations MHF4UI Question Bank Ex 4.6 # 1, 2; Ex 5.5 # 7; Ex 5.6 # 1 - 5 as needed; Ex 5.7 # 1 - 3 as needed; Ex 5.8 # 2, 3, 5; Ex 1.7 # 1 - 10 as needed; Ex 1.8 # 1 - 7 as needed
Warm up:
Check your understanding:
TF6 Inverse Functions p. 215 # 1, 3, 4, 8 - 12, 16, 24, 25, 26, 35, 38, 39
Only for students not writing Physics or Business exam today
Warm up:
Check your understanding:
Complete previous practice
PD Day
Only for students not writing Physics or Business exam tomorrow
For the morning
Asynchronous consolidation day
For the afternoon
Optional Google Meet (available through Classroom) at 11:30 - 12:07
Help Session
Warm up:
Check your understanding:
Graph tan x several times and determine all key features
MHF4UI Question Bank Ex 5.9 # 1 - 3
Warm up:
Check your understanding:
PF6 Factor Theorem MHF4UI Question Bank Ex 2.3 # 1 - 13
Warm up:
Check your understanding:
PF5 MHF4UI Question Bank Ex 4.2 # 2 odd, 3 odd; Ex 4.8 # 1 odd, 2 odd, 5 odd, 6 eghi; Ex 5.4 # 4, 5 (make sure you practice reciprocal ratios too!), 6; Ex 6.8 # 1 - 10
Warm up:
E5 Logarithm Properties - you are not required to recreate the proofs of the properties
Check your understanding:
E5 Properties MHF4UI Question Bank Ex 4.2 # 1, 2, 3, 5, 6; Ex 4.3 # 1, 2, 4 - 7, 9, 10; Ex 4.4 # 1 - 5, 8 - 12
Instructional Support Days
Optional drop in on Tuesday
Email support only on Wednesday
Warm up:
Assessment # 4
Review of Logarithm Properties and Solving Equations
Warm up:
Check your understanding:
Practice for tomorrow's assessment (with calculator)
One question on CAST rule (non-standard triangle)
Two questions from:
Ambiguous Case of Sine Law
Evaluating Logarithms
Remainder Theorem
Middle difficulty questions from previous practice
Warm up:
Check your understanding:
PF5 MHF4UI Question Bank Ex 4.2 # 2 odd, 3 odd; Ex 4.8 # 1 odd, 2 odd, 5 odd, 6 eghi; Ex 5.4 # 4, 5 (make sure you practice reciprocal ratios too!), 6; Ex 6.8 # 1 - 10
Warm up:
E5 Logarithm Properties - you are not required to recreate the proofs of the properties
Check your understanding:
E5 Properties MHF4UI Question Bank Ex 4.2 # 1, 2, 3, 5, 6; Ex 4.3 # 1, 2, 4 - 7, 9, 10; Ex 4.4 # 1 - 5, 8 - 12
Warm up:
Check your understanding:
T5 Ambiguous Case of Sine Law p. 308 # 1 - 3 as needed; 4 - 8 (except 7b); 10, 11, 12
Warm up:
Check your understanding:
Review previous material in course
Warm up:
Marbleslides: Periodics
Review PF4 Remainder Theorem
Check your understanding:
PF4 Remainder Theorem MHF4UI Question Bank Ex 2.2 # 1 - 9
Warm up:
Check your understanding:
PF4 Remainder Theorem MHF4UI Question Bank Ex 2.2 # 1 - 9
Warm up:
Check your understanding:
S3 Exercises Arithmetic and Geometric Series # 1, 2, 6, 7, 9 ab
Warm up:
Converting between radians and degrees (complete 10)
Unit Circle Game Have you improved at this game?
Check your understanding:
Try and complete the CYU from today
Warm up:
Match My Exponential Desmos activity
Finish T4 Graphing Sine and Cosine
Check your understanding:
T4 Sketch y = sin x and y = cos x on graph paper - ensure you can recreate each function quickly (< 5 seconds) and accurately
T4 On the last slide, we have a note: for f(x) = sin kx, then the period is T=2pi/k. Prove that this is true
T4 p. 374 # 7 odd, 8 odd, 9, 16, 17, 18
T4 p. 387 # 7 odd, 8 odd, 11, 13, 14, 15
Warm up:
Check your understanding:
T4 Sketch y = sin x and y = cos x on graph paper - ensure you can recreate each function quickly (< 5 seconds) and accurately
Warm up:
Check your understanding:
E3 Logarithms Worksheet # 1 - 8, 11
MHF4UI Question Bank Ex 3.5 # 1 - 9
E4 Practice Exponential Growth and Decay Section 1: # 1 - 6w; Section 2: # 3, 5, 8, 15
Assessment # 3
PD Day
For the morning
Asynchronous review for Thursday's assessment
For the afternoon
Google Meet (available through Classroom) at 11:30 - 12:07
Help session for review
Review Topics for Assessment #3:
CAST Rule
First question - evaluate a trig ratio of a special angle
Second question - find the infinite number of angles that solve a simple trig equation
Factoring (not including sum/difference of cubes)
Factoring sum/difference of cubes
Radians, sector areas, sector lengths
Polynomial division
Functions - domain, range
Recreate basic functions (line, quadratic, cubic, square root, reciprocal, absolute value)
Graphing exponential functions
Function transformations
Function composition
Sequences - arithmetic and geometric, may also include recursive sequences
Warm up:
Review for assessment on Thursday
Warm up:
Finish TF3 Function Transformations
Check your understanding:
TF3 Function Transformations p. 189 # 1aceg, 2ae, 3efgh, 4, 13
TF3 Function Transformations p. 203 # 1, 3, 4, 9, 14
TF3 Function Transformations p. 229 # 1, 3, 8
TF3 Function Transformations p. 240 # 3, 4, 5, 7, 9
Warm up:
Check your understanding:
Enjoy your March Break everyone!
Review concepts and practice from previous lessons
Warm up:
Check your understanding:
T3 Special Triangles p. 281 # 1, 2adg, 3acegi, 4, 10, 12
T3 Special Triangles p. 348 # 1bc, 2bc, 3ace, 4ace, 5, 6ac, 7ace, 11odd, 13, 14
Warm up:
Check your understanding:
Write out the complete set of trig ratios one or more times for the standard triangles (half an equilateral and right isosceles)
Warm up:
Finish E2 Graphing Exponentials
PF3 Polynomials Discussion
Assisted if necessary by Desmos, sketch all qualitatively different lines in factored form
Extend to any parabolas, cubics (degree 3), and quartics (degree 4) by building up higher degree polynomials as factors of lower degree polynomials - did you enumerate all the types of each degree?
How does this generalize for higher degree polynomials?
Check your understanding:
By hand: 🖐E2 MHF4UI Question Bank Ex 3.3 # 1, 2, 3, 4, 5; Ex 3.4 # 1, 2
Check with Desmos on the previous exercises as needed
Warm up:
What comes next? Desmos Activity on linear vs exponential patterns
Start E2 Graphing Exponentials
Warm up:
CEMC Trigonometry Unit 3 Lessons 2 - 8
Check your understanding:
Warm up:
Check your understanding:
PF2 Exercises Polynomial Division # 4, 5, 7aceg, 12, 13, 14, 15
You are able to check your work by hand (or using WolframAlpha) which is why answers are not posted
Assessment # 2
Started T2 Trigonometry Review
Warm up:
Topics for Assessment # 2:
Review practice from each lesson
Factoring - common, grouping, quadratic, sum/difference of cubes
Radians
Arithmetic and geometric sequences
Calculators will be permitted but are not required
Warm up:
"Whether you think you can or you think you can't, you're right." Henry Ford
Check your understanding:
TF2 MHF4UI Question Bank Ex 7.5 # 1, 2, 3ab, 4abc, 5 - 8
Warm up:
Convert between radians and degrees (complete 10)
Unit circle game (converting between radians and degrees, and where the coordinates of special angles are on the unit circle)
Check your understanding:
S2 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
Warm up:
Finish T1 Radians and Scaling
S2 Arithmetic and Geometric Sequences (arithmetic sequences only)
Check your understanding:
T1 MHF4UI Question Bank Ex 5.1 # 1 - 4, 6
T1 Radians p. 336 # 9, 10, 14, 16
Warm up:
Check your understanding:
T1 MHF4UI Question Bank Ex 5.1 # 1 - 2
Warm up:
Properties of exponents Desmos challenge
Assessment #1
Check your understanding:
E1 Exponent Card Sort Desmos activity
E1 Exponent Mistakes Desmos activity
E1 Exponent Rules p. 9 # 2, 7 odd, 8 odd, 9, 13, 14 ab, 16
Snow day
Review material for Tuesday's assessment
Warm up:
Check your understanding:
S1 Examples Introduction to Sequences All picture questions; Ex 1A # 1 - 3; Ex 1B # 1, 2; Ex A # 1 - 5 (as needed)
PD Day
For the morning
Asynchronous review for Friday's assessment
For the afternoon
Google Meet (available through Classroom) at 11:30 - 12:07
Help session for review
Warm up:
Sum and Difference of Cubes from PF1 Factoring Review and Big Picture
Growth Mindset discussion
2 + 3 = 5, what did we learn?
Automaticity vs memorization
How do we recognize that we are in it?
How do we use self-talk or activities to get out of the pit?
Check your understanding:
PF1 MHF4UI Question Bank Ex 1.4 # 1 - 4 as needed; Ex 1.5 # 1 - 6 as needed - finish what wasn't completed last time
PF1 Factoring (you can always check your work by expanding the solution to get the original unfactored form)
Check your understanding:
Review previous material
Warm up:
Which One Doesn't Belong (Practice #1 as a group, then work through #2 and #22)
Quadratics from PF1 Factoring Review and Big Picture
Check your understanding:
PF1 MHF4UI Question Bank Ex 1.4 # 1 - 4 as needed; Ex 1.5 # 1 - 4 as needed - finish what wasn't completed last time
PF1 Factoring first page only (you can always check your work by expanding the solution to get the original unfactored form)
Warm up:
Problem Solving How can you know you are right even though there are no answers provided?
Check your understanding:
PF1 MHF4UI Question Bank Ex 1.4 # 1 - 4
Warm up:
Asymptotes and Excluded Values (complete 10)
There might be some parts we haven't seen before - try and figure them out anyway!
You may want to graph some functions in Desmos - where are the qualitative properties occurring?
Check your understanding:
Build automaticity from Intro to Functions (last slide)
Functions: p. 178, # 1-3 bdf, 5, 7, 8, 11, 12 bd, 15, 21, 22, 25, 26 abc, 32 ace - use Desmos for additional practice in visualizing the functions
Warm up:
Domain and Range (complete 5)
Evaluate Functions Using Graphs (complete 5)
Check your understanding:
Functions: p. 178, # 1-3 bdf, 5, 7, 8, 11, 12 bd - use Desmos for additional practice in visualizing the functions
Warm up:
Discussion
Why are we here - levelling up
What makes a successful student?
Try out problem solving with the Hotel problem
Check your understanding:
Review grade 10 material at CEMC Courseware
Factoring, algebra, equation solving, and graphing
Welcome!
Online resources
Class website (https://sites.google.com/googleapps.wrdsb.ca/fryer-davis-classes/grade-11-ib)
Google Classroom code 644k2rr invite link
Desmos Classroom MCR3UW-03
Desmos Intro for Students
Complete the Information Questionnaire
Review for the weekend:
Review grade 10 material at CEMC Courseware
Factoring, algebra, equation solving, and graphing
Snow day
Review grade 10 material at CEMC Courseware
Factoring, algebra, equation solving, and graphing