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MHF4U - 2014-2015 Semester 1

Page history last edited by Steve Sweeney 4 years, 1 month ago

MHF4U - Advanced Functions (University Preparation)

 

This course extends students' experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

 


Prerequisites:

  1. Functions, Grade 11, University Preparation; or
  2. Mathematics for College Technology, Grade 12, College Preparation

 

This page will have a daily breakdown of the course.  Most recent classes are at the top of the page, while the older classes get pushed to the bottom.

 

The beginning of each unit will be marked in blue.

Evaluations (e.g., tests, assignments, quizzes) will be marked in red.

 

University of Waterloo CEMC Courseware for MHF4U & MCV4U

Corrections to MHF4U Textbook Answer Section

 

Per2

Per3 Topic / Lesson

Extra Resources

Assigned Work

J27 J28
Final Exam

Review # 1 (w/ answers)

Review # 2

 
J20   Summative Part 2    
J15   Quest (long quiz, short test)    
J14   Review - Combinations of Functions   p.576 # 2, 4, 5, 6bcd, 7cd, 8, 9, 11, 12d
J13   Solving Equations & Inequalities AM PM   p.560 # 1, 3, 4, 5ef, 6ace, 9bdf
J09   Composition of Functions AM PM   p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13
J08   Dividing Functions AM PM  

p.542 # 1, 2, 3

p.544 # 3, 4, 6

J07   Multiplying Functions AM PM   p.537 # 1ae, 3, 4bef, 5bef, 6ef, 8ad, 11, 12
J06   Adding & Subtracting Functions AM PM   p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13
J05   Exploring Combinations of Functions

Handout

Video - Sound of Adding Sine Waves

p.520 # 1, 2
    Unit 7 - Combinations of Functions
   
D17   Summative Part 1    

D16

D15

D12

  Summative Prep    
D12        
D11   Test - Logarithmic Functions    

D10

  Review  

*** look at all notes & homework ***

p.510 # 1, 2, 3, 6a, 7, 8, 10, 11bc, 13,

14ac, 15bd, 17, 19, 22, 23

D08 D09
Solving Exp & Log Problems AM PM
  p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15
D09 D08
Rates of Change in Log Functions AM PM
  p.507 # 4, 7, 11abc
D05   Work Period  

p.485 # 4, 6bc, 7, 11

p.492 # 3, 9

D04   Solving Exp & Log Equations AM PM  

p.485 # 2, 8, 10, 17

p.491 # 4, 5, 7, 12

D03   Laws of Logarithms AM PM  

p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17

D02
  Evaluating Logarithms AM PM
VT - Changing Base of Logs

p.466 # 3 (using rule 1 or 2),

# 5 (using 1 or 2), 8 (using 4), 6, 9, 12, 17

D01   Retest - Trigonometric Identities & Equations    
N28   Graphs & Transformations of Log Functions AM PM
 

p.456 # 1-3 (basics), 4, 5, 8, 9, 11


N27
  Introduction to Logarithmic Functions AM PM
Handout - Graphs of Exp & Log Functions
p.451 # 4 - 9
    Unit 6: Exponential & Logarithmic Functions    
N26   Test - Trigonometric Identities & Equations    
N25   Review   p.440 # 1, 2, 3ac, 4, 5, 6, 7, 8, 9, 10, 11b, 12bcd, 13
N24   Work Period    
N20   Solving Quadratic Trig Equations AM PM  

p.436 # 1, 3, 6ac, 7bd, 8ad, 9ac, 11, 14, 18

  • work period Monday
  • ­for Monday, try to complete: 1, 3, 6a, 7b, 8a, 9a
  • ­for Tuesday, try to complete: 6c, 7d, 8d, 9c, 11, 14
N19   Solving Linear Trig Equations AM PM Quiz Solutions - Compound & Double Angles

p.426 # 1bdf, 2bdf, 5, 6bdf, 8, 10bef, 11, 

18

N17   Trigonometric Identities AM PM MCR3U: WS 3.3 Trig Identities(solutions) p.416 # 5, 8, (9, 10, 11)(odd), 17
N14   Double Angle Formulas AM PM   p.407 # 1­-3, 5, 6, 8, 9 (see p.406), 13
N13  

Compound Angle Formulas AM PM

(Addition & Subtraction Identities)

Worksheet - RAA & CAST Rule (w/ Answers)
p.400 # 1-­4, 5acf, 6cde, 8, 9ade, 10, 13
N07   Equivalent Trigonometric Functions AM PM Trig Identities Sheet
p.392 # 1, 2a, 3acd, 4a, 5abc
    Unit 5: Trigonometric Identities & Equations
   
N12   Test - Trigonometric Functions    
N10   Review - Trigonometric Functions   p.376 # 1-4, 6, 7, 10, 11bd, 12, 14-17, 19
N06   Rates of Change in Trigonometric Functions AM PM
  p.369 # 1 - 3, 4bd, 6, 7, 8, 12, 15
N05   Activity - Model Periodic Data    
N04   Homework / Work Period

worksheet w/ extra problems

Solutions: 1 2 3 4 5 6 7 8 9 10

 
N03   Modelling with Trigonometric Function AM PM  
p.360 # 1­-3, 5, 6, 7, 9, 11
O31   Graphs of Reciprocal Trig Functions AM PM worksheet p.353 # 1, 2, 3, 6, 7
O30   Transformations of Trig Functions AM PM Video: Sine Graph from Circular Motion
p.343 # 1bd, 3, 4, 5, 8ade, 9, 11, 12, 14
O29   Graph of the Tangent Function AM PM   p.336 # 2c, 3, 5
O24   Radian Angles in the Cartesian Plane AM PM MCR3U Trig Lessons  p.330 # 1-­4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13 
O23   Radian Measure AM PM   p.320 # 1 -­ 4, 6 -­ 10, 15 
    Unit 4 - Trigonometric Functions    
O28   Test - Polynomial & Rational Functions    
O27   Review - Polynomial & Rational Functions  

p.240 # 1ac, 2, 3, 4, 6ad, 7ad, 8bd, 10a, 11, 14c, 15, 16

p.308 # 1, 2, 3bd, 5bd, 7bc, 8, 9, 10cd, 11, 12, 13

O22 O22

Rates of Change in Rational Functions AM PM

Quiz - Graphing Rational Functions

  p.303 # 1, 2, 4, 6bc, 10, 13 
O21 O21 Solving Rational Inequalities AM PM   p.295 # 1, 4acf, 5ace, 7, 9, 13
O20 O20 Solving Rational Equations AM PM

3U Simplify Rationals Lesson VT

3U Multiply/Divide Lesson VT

3U Add/Subtract Lesson VT1 VT2 

p.286 # 5ace, 6bcf, 10, 12, 13

(see p.278 for help on 10, 13)

O16 O16 Graphing Rational Functions AM PM Sample Problem PDF VT
p.272 # 1, 3, 5bcd, 6bd, 14
O15 O15 Rational Functions & Asymptotes AM PM   p.262 # 1, 2, 3
O14 O14 Graphs of Reciprocal Functions AM PM  

p.254 # 1, 2def, 6bcd, 8bdf, 9bc, 11

# 16 (find equation of reciprocal (shown) and

original function)

O09  O09  Rates of Change in Polynomials AM PM   p.235 # 5cde, 6cde, 7, 9, 11 
O08
O08

Work Period: Nonlinear Inequalities 

Quiz - Solving Inequalities

   
O07 O07 Solving Nonlinear Inequalities Algebraically AM PM
 

p.225 # [1bd, 2, 3] fundamentals

5, 6bdf, 7bdf (no graph or use tech), 8, 10, 11, 15

18 [not taking up]

O06 O02 Solving Linear Inequalities AM PM  

p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19

O03 O01
Solving Polynomial Equations AM PM    p.204 # 6, 7ad, 10, 13, 16
    Unit 3 - Polynomial/Rational Equations & Inequalities    
O02 O02
Test - Polynomals    
S30 S30 Review - Polynomials  

p.161 # 3 - 9

p.184 # 1-3, 7, 9bdf, 10bd, 11ac, 12b, 14ad, 15bd, 16ac, 17bd

S29 S29 Transformations of Polynomials AM PM   p.155 # 2, 3, 4bde, 5, 6bde, 7, 8, 9, 10ace, 11, 14 
S26 S26

Factoring Cubic Polynomials

(independent work) AM PM

 

WS - Factoring Sum & Difference of Polynomials

(H/W on WS)

S25 S25 Factoring Polynomials AM PM KA - Example - Remainder Theorem

p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17


S24

S23

S24

S23

Dividing Polynomials AM PM

KA - Polynomial Long Division 

KA - Synthetic Division

p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14
S22 S22 Combinations of Functions AM PM  

Try to complete Ex.2 & Ex.3 on your own

p.57 # 2, 3, 4, 5, 6

S19 S19 Characteristics of Factored Form AM PM   p.146 # 1, 2, 4, 6, 9, 10, 12, 13, 14
S18 S18 Characteristics of Polynomials AM PM   p.136 # 5, 7, 8, 9, 12, 14, 15, 16
S17 S17 Polynomial Functions AM PM   p.127 # 1 - 5
    Unit 2 - Polynomials
   
S16 S16 Test - Functions & Rates of Change    
S15 S15 Review - Functions & Rates of Change  

p.60 #  1-4, 6, 7-9, 10-17

p.116 # 2-7

note: many better questions in homework

         
S11 S11 Graphical Representations of RoC    
S10 S10

Average & Instantaneous Rates of Change

AM PM

 

p.76 # 8, 9

p.85 # 4, 5, 7

    Unit 1b - Rates of Change
   
S09
S09
Piecewise Functions AM PM KA - Piecewise Example
p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13 
S08
S08
Function Inverses AM PM

KA - Function Inverses

KA - Restricting Domain for Inverse Functions

KA - Determine Inverse Algebraically Ex1 Ex2 Ex3

MCR3U - Function Inverses

p.44 # 4, 5, 6bd, 7, 9, 11, 12c, 13, 17
S05 S05

Review: Transformations of Functions

(no note, handout) AM PM

  p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab
S04 S04 Properties of Graphs AM PM Khan A - Even/Odd Functions

p.23 # 12, 3, 4, 5, 7, 8, 9, 10, 14

use handout for 12, 14

S03 S03 Absolute Value Function AM PM   p.16 # 3-10
Sep2
S02
Review - Functions, Domain, Range AM PM

Khan Academy - What is a Function?

(there are several videos in series)

Interval Notation

p.11 # 1, 2, 3, 4, 6, 8, 11, 12, 14
    Unit 1a - Functions (includes review)
   

 

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