Google Classroom code tu23mmn invite link
MCR Outlines
MIT Opencourseware for university courses
Problem solving questions (mathmatics - 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:
Card Sort Modelling Desmos Activity
Practice:
PF14 Previous material for practice on inequalities
PF10 Solving Inequalities Characteristics Exercises Ex 7.3 # 1, 2, 3, 6, 8
PF11 Absolute Value Questions 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
E8 Solving Equations Exponentials and Logarithms Logarithm Exercises Ex 4.4 # 8; Ex 4.8 # 1 - 12 as needed
You've seen these before, but maybe now, they will be better 😁
E9 Logarithm Exercises Ex 4.4 # 8, 9; Ex 4.8 # 1 - 12; Ex 4.10 # 15
E9 Logarithms Worksheet Ex 7.3 # 1 - 11
Changing the Question Polynomial Exercises Ex 1.9 # 1 - 11
Warm up:
Penny Circle Desmos Activity
Assessment # 4
Warm up:
Compound inequalities on the number line Desmos Activity
Practice:
PF12 Radical Equations Ex 3.8 # 1 - 9 as needed
PF13 Function Combinations Characteristics Exercises 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:
Marbleslides: Exponentials Desmos Activity
Practice:
T10 Trig Identities Trig Identities Exercises Ex 6.5 # 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
T10 Trig Equations Trig Identities Exercises Ex 6.8 # 9 - 27 odds except 11 (notice that # 15 doesn't factor!)
T11 Ambiguous Case of Sine Law practice
T11 Ambiguous Case of Sine Law p. 308 # 1 - 19 as needed
Warm up:
Absolute Value Inequalities on the Number Line Desmos Activity
Practice:
PF10 Solving Inequalities Characteristics Exercises Ex 7.3 # 1, 2, 3, 6, 8
E7 Rationalization Conceptual Questions: p. 141 # 11, 16, 17, 20
E7 Rationalization Technical Skills: p. 140 # 5, 6, 7
PF11 Absolute Value Questions 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:
Constructing Polynomials from Intercepts Desmos Activity
Practice:
PF9 Solving Equations Exponentials and Logarithms Logarithm Exercises Ex 4.8 # 6 - 12
PF9 Solving Equations Trigonometry Trig Identities Exercises Ex 6.8 # 13 - 20, 26, 31, 32
PF9 Solving Equations Polynomials Rational Functions Exercises Ex 2.4 # 7, 9, 11; Ex 2.5 # 1 even, 2
E6 Logarithm Exercises Ex 4.9 # 1 - 14
TF7 Function Combinations Characteristics Exercises Ex 7.4 # 3 - 6, 8, 9 - 12; Ex 7.6 # 1 - 7
Warm up:
Assessment # 3
Practice:
PF8 Polynomial Characteristics Polynomial Exercises Ex 1.6 # 1, 2; Ex 1.9 # 1 - 11 as needed
PF8 Polynomial Characteristics Rational Functions Exercises Ex 2.4 # 1 - 4, 5 odd, 7, 9, 11; Ex 2.5 # 1 odd, 3
Warm up:
Function Transformations: Practice with Symbols Desmos Activity
TF5 Combined Functions Desmos activity - requires trig, exponential, polynomial functions
Inequalities on the number line Desmos Activity
Practice:
TF5 Function Combinations Characteristics Exercises Ex 7.4: # 1 - 6, 8
T9 Trig Identities Trig Identities Exercises Ex 6.5 # 2, 5, 8, 11, 14, 17, 21
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:
T7 Burning Daylight Desmos activity on modelling using trigonometric functions
Practice:
T7 Modelling Trig Functions p. 361 # 8, 9, 10, 14; p. 389 # 14, 15, 17
T8 Trig Identities Trig Identities Exercises Ex 6.5 # 1, 4, 7, 10, 13, 16
Warm up:
Finish E5 Logarithm Properties
Practice:
E5 Properties Logarithm Exercises Ex 4.2 # 1, 2, 3, 5, 6; Ex 4.3 # 1, 2, 4 - 7, 9, 10; Ex 4.4 # 1 - 5, 8 - 12
TF4 Transformations Logarithm Exercises Ex 4.6 # 1, 2
TF4 Transformations Trigonometry Exercises Ex 5.5 # 7; Ex 5.6 # 1 - 5 as needed; Ex 5.7 # 1 - 3 as needed; Ex 5.8 # 2, 3, 5
TF4 Transformations Polynomial Exercises Ex 1.7 # 1 - 10 as needed; Ex 1.8 # 1 - 7 as needed
Warm up:
Solving Logarithm Equations (1) (Base e is a special base that we treat the same as any other base)
Practice:
PF6 Factor Theorem Rational Functions Exercises Ex 2.3 # 1 - 13
Graph tan x several times and determine all key features
T6 Trigonometry Exercises Ex 5.9 # 1 - 3
TF6 Inverse Functions p. 215 # 1, 3, 4, 8 - 12, 16, 24, 25, 26, 35, 38, 39
Warm up:
Chopping Logs Desmos activity for logarithm properties
Started E5 Logarithm Properties
Practice:
Finish any necessary material from previous lessons
Warm up:
Converting between radians and degrees (complete 10)
Unit Circle Game Have you improved at this game?
Practice:
PF4 Remainder Theorem Rational Functions Exercises Ex 2.2 # 1 - 9
T5 Ambiguous Case of Sine Law p. 308 # 1 - 3 as needed; 4 - 8; 10, 11, 12
PF5 Logarithm Exercises Ex 4.2 # 2 odd, 3 odd; Ex 4.8 # 1 odd, 2 odd, 5 odd, 6 eghi
PF5 Trigonometry Exercises Ex 5.4 # 4, 5 (make sure you practice reciprocal ratios too!), 6
PF5 Trig Identities Exercises Ex 6.8 # 1 - 10
Warm up:
Match My Exponential Desmos activity
Assessment # 1
Practice:
Warm up:
Card Sort: What's My Transformation Desmos activity
Practice:
P2 Complete 15.1 # 1-12; 15.2 # 1-12; 14E # 1, 3, 4, 5; 14.H # 1-5; 14.J # 2, 3, 8
E4 Exponentials Exercises: Ex 3.5 # 1 - 9
E4 Homework page 1: # 1 - 6
E4 Homework page 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:
Practice:
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
E3 Logarithms Worksheet # 1 - 8, 11
Warm up:
Practice:
By hand: 🖐E2 Exponentials Exercises Ex 3.3 # 1, 2, 3, 4, 5; Ex 3.4 # 1, 2
Check with Desmos on the previous exercises as needed
PF3 Homework page # 4, 5, 7aceg, 12, 13, 14, 15
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:
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
What comes next? Desmos Activity on linear vs exponential patterns
Assessment # 1
Practice:
TF2 Characteristics of Functions Exercises Ex 7.5 # 1, 2, 3ab, 4abc, 5 - 8
TF2 Card Sort: Transformations Desmos Activity
Warm up:
Problem Solving How can you know you are right even though there are no answers provided?
Interactive Venn Diagram - Put values in the fields on the right side for each set, see where the unions and intersections occur
Practice:
T2 Trig Problem Solving p. 273 # 9, 10, 16, 19; p. 292 # 5, 15, 19, Achievement Check
T2 Trig Technical Skills p. 272 # 2, 3, 4, 5; p. 291 # 1, 2, 3, 4 (as needed)
P1 Exercises 3A-E 3A # 1, 2, 3; 3B # 1, 2, 5, 6; 3D # 1, 2, 3, 4 (answers)
Warm up:
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?
Practice:
T1 Trig Exercises Ex 5.1 # 1 - 4, 6
T1 Radians p. 336 # 9, 10, 14, 16, 20
T1 Areas and perimeters of sectors solutions (Thanks Ms Suresh!)
Warm up:
Domain and Range (complete 5)
Evaluate Functions Using Graphs (complete 5)
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?
Which One Doesn't Belong (Practice #1 as a group, then work through #2 and #22)
Properties of exponents Desmos challenge
Practice:
PF1 Factoring practice questions (everything except last section)
PF1 Polynomial Factoring Ex 1.4 # 1 - 4 as needed; Ex 1.5 # 1, 2 as needed
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
Welcome!
Online resources
Class website (https://sites.google.com/googleapps.wrdsb.ca/fryer-davis-classes/grade-11-ib)
Google Classroom code tu23mmn invite link
Complete the Information Questionnaire
Discussion
Why are we here - levelling up
What makes a successful student?
Try out problem solving with the Hotel problem
Growth Mindset discussion
2 + 3 = 5, what did we learn?
Automaticity vs memorization
The Learning Pit
How do we recognize that we are in it?
How do we use self-talk or activities to get out of the pit?
Practice:
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