Google Classroom code li7nfli invite link
Desmos Classroom MCR3UW-01
MCR Outlines
Grade 9 and 10 Review (based on CEMC Courseware)
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
Test # 5 (optional)
Work through any of the lessons from yesterday that you have not yet completed
Check your understanding:
E8 Solving Equations Exponentials and Logarithms MHF4UI Question Bank Ex 4.4 # 8; Ex 4.8 # 1 - 12 as needed
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
Changing the Question MHF4UI Question Bank Ex 1.9 # 1 - 11
T11 Ambiguous Case of Sine Law practice
T11 Ambiguous Case of Sine Law p. 308 # 1 - 19 as needed
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!)
E6 Exercises Logarithms Applications MHF4UI Question Bank Ex 4.9 # 1 - 14
Check your understanding:
Check your understanding:
T10 Trig Identities MHF4UI Question Bank Ex 6.5 # 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
T10 Trig Equations MHF4UI Question Bank Ex 6.8 # 9 - 27 odds except 11 (notice that # 15 doesn't factor with rationals!)
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
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, 2
Warm up:
Constructing Polynomials from Intercepts Desmos Activity
Check your understanding:
PF8 Polynomial Characteristics MHF4UI Question Bank Ex 1.6 # 1, 2
Check your understanding:
Practice essential skills from course:
Functions and function transformations
Trig functions, evaluation, radians
Polynomials, graphing, solving polynomial equations (including division and Factor Theorem)
Exponential and logarithmic functions and solving equations
Sequences and series
No seating plan
Test #4
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:
TF7 Function Combinations MHF4UI Question Bank Ex 7.4 # 3 - 6, 8, 9 - 12; Ex 7.6 # 1 - 7
Assessment Topics:
Functions and Transformations Review:
# 13 - 23, 25 - 34, 43 - 48
Function definition, composition, transformations, inverses
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
Exponentials and Logarithms Review:
# 1 - 6, 9 - 13, 17 - 20, 23, 27, 28, 31, 32, 35 - 40, 44, 46, 48, 50, 53 - 57
Definition of logarithm, graphing exponentials and logarithms, exponential growth and decay, properties of logarithms, solving exponential and logarithmic equations
Polynomials and Equations Review:
Note: this is the same document as Functions and Transformations Review (above)
# 13 - 23, 25 - 34, 43 - 48
Polynomial definitions, division, remainder theorem, factor theorem, solving equations, solving simple linear inequalities
For linear inequalities, create and then check your solution in Desmos
# 1, 3, 5 - 20, 23, 24
Recursive sequences, arithmetic sequences and series, geometric sequences and series
Ch 5 # 1 - 35, 38 - 50; Ch 6 # 1 - 41; Ch 7 # 7 - 10; Ch 8 (non-right triangles) # 1 - 9
Radians, area and arclength of sectors, SOH CAH TOA, sine law, cosine law, graphing trig functions, ambiguous case of sine law, trigonometric equations
Warm up:
TF5 Combined Functions Desmos activity - requires trig, exponential, polynomial functions
Check your understanding:
TF5 Function Combinations MHF4UI Question Bank Ex 7.4: # 1 - 6, 8
T9 Trig Identities MHF4UI Question Bank Ex 6.5 # 2, 5, 8, 11, 14, 17, 21
Warm up:
Function Transformations: Practice with Symbols Desmos Activity
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
PF7 Inequalities Conceptual Understanding: p. 78 # 8 - 11, 15, 16 , 17, 21, 22 (Using Desmos)
PF7 Inequalities Technical Skills: p. 78 # 1 - 7
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
Check your understanding:
TF6 Inverse Functions p. 215 # 1, 3, 4, 8 - 12, 16, 24, 25, 26, 35, 38, 39
Check your understanding:
PF6 Factor Theorem MHF4UI Question Bank Ex 2.3 # 1 - 13
Graph tan x several times and determine all key features
MHF4UI Question Bank Ex 5.9 # 1 - 3
Warm up:
Solving Logarithm Equations (1) (Base e is a special base that we treat the same as any other base)
Check your understanding:
Review Materials Practice for polynomials, sum/difference of cubics, polynomial transformations, remainder theorem, division, radians, CAST Rule, graphing sine/cosine, trig transformations, logarithm evaluation and properties, sequences and series
Still missing exponential growth and decay
Warm up:
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
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
Review Materials Practice for polynomials, sum/difference of cubics, polynomial transformations, remainder theorem, division, radians, CAST Rule, graphing sine/cosine, trig transformations, logarithm evaluation and properties, sequences and series
Still missing exponential growth and decay
Warm up:
Check your understanding:
T5 Ambiguous Case of Sine Law p. 308 # 1 - 3 as needed; 4 - 8; 10, 11, 12
Finish Chopping Logs Desmos activity for logarithm properties
Warm up:
Literacy Day Prep
Links are located in Google Classroom
To access the Kiosk
Log out of your Chromebook
Go to the Apps button at the bottom left of the screen
Login using the Access code provided by your Block A teacher and your OEN
Warm up:
Check your understanding:
S3 Exercises Arithmetic and Geometric Series # 1, 2, 6, 7, 9 ab
PF4 Remainder Theorem MHF4UI Question Bank Ex 2.2 # 1 - 9
Warm up:
Converting between radians and degrees (complete 10)
Unit Circle Game Have you improved at this game?
Check your understanding:
Warm up:
Match My Exponential Desmos activity
Check your understanding:
Review T4 Graphing Sine and Cosine
Check your understanding:
MHF4UI Question Bank Ex 3.5 # 1 - 9
E4 Practice Exponential Growth and Decay Section 1: # 1 - 6w; Section 2: # 3, 5, 8, 15
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:
MHF4UI Question Bank Ex 3.5 # 1 - 9
E4 Practice Exponential Growth and Decay Section 1: # 1 - 6w; Section 2: # 3, 5, 8, 15
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
Assessment # 2
Check your understanding:
E3 Logarithms Worksheet # 1 - 8, 11
Check your understanding:
Factoring (not including sum/difference of cubes)
Factoring sum/difference of cubes
CAST Rule
Radians, Sector Areas, Sector Lengths
Functions Domain, Range, Definitions
Function Composition
Function Transformations - revisit yesterday's practice
Sequences
Desmos Match My Transformation
Warm up:
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:
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:
PF3 Homework page # 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
Quiz on radians, function composition, right-angled triangles
What comes next? Desmos Activity on linear vs exponential patterns
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:
Finish T2 Trigonometry Review
CEMC Trigonometry Unit 3 Lessons 2 - 8
Check your understanding:
Warm up:
CEMC Trigonometry Unit 3 Lessons 2 - 8
Check your understanding:
TF2 MHF4UI Question Bank Ex 7.5 # 1, 2, 3ab, 4abc, 5 - 8
T2 Finish the jamboard examples
PF2 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:
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:
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)
Match My Polynomial Desmos activity
S2 Arithmetic and Geometric Sequences (arithmetic sequences only)
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 (Only arithmetic sequences for today)
Assessment #1
Check your understanding:
T1 MHF4UI Question Bank Ex 5.1 # 1 - 4, 6
T1 Radians p. 336 # 9, 10, 14, 16
T1 Areas and perimeters of sectors solutions (Thanks Ms Suresh!)
Warm up:
Problem Solving How can you know you are right even though there are no answers provided?
Properties of exponents Desmos challenge
Consolidation Topics:
Functions, function notation, key features, and standard functions
Transformations of quadratic functions
Quadratic factoring, sum and differences of cubes
Introduction to sequences, arithmetic and geometric sequences
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
TFR1 Functions # 1 - 4, 7c, 10
PF1 MHF4UI Question Bank Ex 1.11 # 7, 8, 9
MHF4UI Question Bank Sum and Difference of Cubes Ex 2.3 # 9
SR1 Sequences Review 1 # 1 (not part (d)), 3, 5, 7, 9, 22
Warm up:
Check your understanding from factoring
Which One Doesn't Belong (Practice #1 as a group, then work through #2 and #22)
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)
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:
PF1 MHF4UI Question Bank Ex 1.4 # 1 - 4 as needed; Ex 1.5 # 1, 2 as needed - finish what wasn't completed last time
PF1 Factoring practice questions (you can always check your work by expanding the solution to get the original unfactored form)
Warm up:
Domain and Range (complete 5)
Evaluate Functions Using Graphs (complete 5)
Check your understanding:
Complete Grade 9 and 10 Review (based on CEMC Courseware) as needed
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
PF1 Polynomial Factoring Ex 1.4 # 1 - 3
Warm up:
Try out problem solving with the Hotel problem
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?
Welcome!
Online resources
Class website (https://sites.google.com/googleapps.wrdsb.ca/fryer-davis-classes/grade-11-ib)
Google Classroom code li7nfli invite link
Desmos Classroom MCR3UW-01
Desmos Intro for Students
Complete the Information Questionnaire
Discussion
Why are we here - levelling up
What makes a successful student?