Grade 12 Advanced Functions
Welcome to MHF 4U. Below you can find all course information. It is your responsibility to be prepared and take notes during class time. Along with class notes there are both non-tech seatwork responsibilities, and software responsibilities.
Welcome to MHF 4U. Below you can find all course information. It is your responsibility to be prepared and take notes during class time. Along with class notes there are both non-tech seatwork responsibilities, and software responsibilities.
Unit 1 Polynomial Functions_Algebra Seatwork Software Assignments
Free TI83 PLUS Calculator and the ROM file
Note1 Function Notation A p11 #4, (6,8,10-12)eop
Note2 Composition of Functions A p20 #(6,11,13,17,19-23)eop
Note3 Inverse of Functions A p27 #1,3,4,7,9,10
Note4 Transformations of Cubics and Quartics Gizmos Login W.S. (Period C); W.S. Gizmo#1: Translating & Scaling Functions
Note5 Dividing Polynomials_Long Division N p42 #1,(2,3)eol,9-11,14
Note6 Synthetic Division N p43 #4-6,12,13 Gizmo#2: Synthetic
Note7 Remainder Theorem A p58 #(4-6)eop, 7-9
Note8 Factor Theorem _ Quiz Thurs Feb 13 A p64 #4,5,10,12,18,21-23
Note9 Factoring a Sum and Difference of Cubes N p51 #(10,11)c, 12,13
Note10 Review A p38 #(1-9)odds,10ab,11; A p72 #5-11; N p77 #21-23
Unit Test Thursday Feb 20
Unit 2 Polynomials Functions_Geometry Unit 2 Polynomials Functions_Geometry
Note1 Solving Polynomial Equations A p80 #(1,3)oep,(4-7)f; A p96 #(1,3-6)eop
Note2 Graphing Polynomials I W.S.
Note3 Graphing Polynomials II N p26 #12,13,16,19; N p16 #10 Gizmo#1: Graphs of Polynomial Functions
Note4 Graphing Polynomials III & Assignment due Mon March 2 N p15 #6,7,9,22 Gizmo#2: Polynomials and Linear Factors
Note5 Finite Differences N p26 #14,15,18; N p16 #14,15
Note6 Determining Equations of Polynomial Functions N p61 #6,11ab,12-14,18; N p16 #11a,16,17
Note7 Polynomial Inequations N p72 #(5,8)odds, 10,14,18a
Note8 Review N p75 #1-7,9,10,12-16,27-32,36 Inequalities PPT demo extension
Unit Test Friday March 6
Unit 3 Rational Functions Unit 3 Rational Functions
Note1 Vertical Asymptotes W.S. #1-11 Asymptote PPT demo
Note2 Horizontal Asymptotes N p357 #9,11a-c,14a; 2 BBQs
Note3 Oblique Asymptotes N p356 #1-4,11d, 4 BBQs Gizmo#1: General Form of a Rational Funct
Note4 Putting It all Together I N p356 #(5,6)odds,7,14 Gizmo#2: Rational Functions
Note5 Putting It all Together II & Assignment Due March 23 N p357 #(5,6)evens,10odds
Note6 Limits and Continuity N p367 #4,11,12,15; N p375 #5,6,8,13eol
Note7 Rational Function Inequalities W.S. with Answers
Note8 Rational Functions Review. Key Learnings N p419 #1-4,11-15,16odds,17,35
Unit Test
Unit 4 Exponential and Logarithmic Functions Unit 4 Exponential and Logarithmic Functions
Note1 Exponent Laws Review N p84 #(2-7)odds; A p436 #3odds,7,8; A p440 #2,(4,7)odds
Note2 Investigating Exponential Functions N p103 #3,8,18; A p456 #1,2 Gizmo#1: Exponential Functions
Note3 The inverse of the Exponential Function N p118 #5even,6,9odd,12c,15
Note4 Evaluating Logs W.S.
Note5 Laws of Logs N p125 #(3-8)odds
Note6 Solving Exponential Equations N p126 #9-11; N p132 #(1-6)even
Note7 Solving Log Equations & Quiz N p147 #7-9,14,17-20, A p493 #4,11,12a-c
Note8 Exponential Growth and Decay N p110 #2,3,6,7,11-13 Gizmo#2: Log Functions Translating Scaling
Note9 Growth and Decay and Logs N p132 #7-12,15,16,18,20; N p140 #6,7,(9,10)odds,11
[Note10 Exponential Regression] [N p152 #1,4,6]
Note11 Review N p157 #1-5,9,10,(11-15)odds,16-29,31-35,39,45; N p153 #7ab
Unit Test
Unit 5 Trigonometric Functions Unit 5 Trigonometric Functions
Note1 Radian Measure A p249 #(1-6)eop,9,10,16a
Note2 Special Angles A p278 #(1,2)odds, W.S Gizmo#1: Cosine Function
Note3 Trigonometric Equations A p319 #3-6,9
Note4 Translations of Basic Trig Graphs A p331 #3,4,6; p337 #5odds,6,9
Note5 Dilatations of Trig Functions A p342 #2,5odds,10a; p348 #2,3odds,13a,14b
Note6 Multiple Transformations A p355 #1,2,5ac,6bd,(8,9)odds,13 Gizmo#2: Translating Scaling Sine Cosine
Note7 Setting the Scales of the Axes System A p362 #1-3,(6,7)odds, 9
Note8 Applications of Trig Functions & Quiz A p369 #1,3,4ab,6-8 Colourful development of the trig curves
Note9 Graphing Reciprocal Trig Functions A p415 #4,7abef, W.S.; p362 #(6,7)evens
Note10 Solving Linear Trig Equations with Radians A p320 #(10,11)a,b; W.S. #(1-6)odds
Note11 Quadratic Trig Equations A p320 #(10,11)c-f, 14cd
Note12 Trig Function Review A p372 #(1-4)even,5-7,9b,10-12; W.S.
Unit Test
Unit 6 Trig Identities and Trig Equations Unit 6 Trig Identities and Trig Equations
Note1 Trig Identities W.S.
Note2 Solving Trig Equations Using Gd 11 Identities W.S.
Note3 Co-functions W.S. Gizmo#1: Trig Expressions
Note4 Addition Identities_Sine and Cosine W.S. Gizmo#2: Sum & Difference Identities Cosine
Note5 Addition Identities_Tangent W.S.
Note6 Double Angle Formulas W.S.
Note7 Proving Trig Identities I W.S.(11-17) every other number, (28-48) even numbers
Note8 Proving Trig Identities II & Quiz N p605 #10 even letters
Note9 Solving Trig Equations Revisited W.S.
Note10 Trig Identities and Equations Review I W.S.; N p604 #1-9
Unit Test
Unit 7 Average and Instantaneous Rates of Change Unit 7 Average and Instantaneous Rates of Change
Note1 Rates Of Change N p178 #1,3,6; W.S. A#1-5 Gizmo#1: Distance Time Graphs
Note2 Tangent to a Curve N p179 #7,8a-c,9,10,13; N p190 #3-6; W.S. A#6-10
Note3 Using a Formula to Find Instantaneous Rates of Change N p213 #2even,5,7f,9,15,18
Note4 Limits of Rational, Radical, and Trig Equations N p383 #1; W.S. B#1-5; BBQ 1a-d.
Note5 Rates of Change, Velocity, & Equation of Tangent lines N p190 #7,9,12,13,15,16,18; N p202 #3-5,18; W.S. B#7-10
Note6 In-class Assignment and Work Period W.S
Note7 Review N p256 #1-6,11-17,19,21eol; N p260 #41,42,44,45; W.S.
Unit Test
Unit 8 Characteristics of Functions Unit 8 Characteristics of Functions
Note1 Solving Radical Equations A p110 #(3,8,9)eol, 10ab, 14
Note2 Addition & Subtraction of Functions N p34 #(1-3,7,8,11)odds, 15b,18
Note3 Piece-Wise Functions N p203 #9b,12,13,17, AACQ
Note4 Multiplying Functions N p34 #1d,4,7d,8d,11b,13,21,24; N p35 #9,10b
Note5 Revisit Composition of Functions N p35 #9,10b,14,20,25; A p 21 #23bdf,24
Note6 Composition of Discrete Functions N p439 #1a,3,8,9b,10acf,12
Note7 Symmetry Properties W.S. Parts A,B
Note8 Equations and Inequations A p106 #(3,4,5)ce, W.S.
Note9 Approximating Zeros & Quiz W.S.
Note10 Review W.S.; N p76 #17-20; N p497 #14,15; A p38 some; A p112 some; A p106 #(3,4,5)ce; A p114 #23,24; N p202 #11,13; N p257 #17
Unit Test
Exam Review Exam Review
W.S. [ Same W.S. in PDF Format: W.S. ]; N p165+; N p427+; N p559-560; N p575-579
W.S. [ Same W.S. in PDF Format: W.S. ]; A p113+; A p424+; A p550+
W.S. [ Same W.S. in PDF Format: W.S. ];
Office Hours:
Final Exam: Block C.......June , 2020.......Room 235 9am to 11am.