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MHF4U 2020-2021 Quad2 Nov-Feb

Page history last edited by Steve Sweeney 2 years, 10 months ago

Corrections to MHF4U Textbook Answer Section

MHF4U Solutions Manual

 

Modified Schedule, Online Learning, Monday, Jan.04 to Friday, Jan.22:

 

Day

Lesson

#

 Topic / Lesson

Extra Resources

Assigned Work
  Week of Jan.04 to Jan.08
M   Transition to Remote Learning    

M,

no Google Meet

 32

Graphs of Reciprocal Trig Functions

 worksheet p.353 # 1, 2, 3, 6, 7
Tu 33

Modelling with Trigonometric Functions

worksheet w/ extra problems

Solutions: 1 2 3 4 5 6 7 8 9 10


 p.360 # 1­-3, 5, 6, 7, 9, 11
Tu/W 3U 

3U: Fundamental Trigonometric Identities

 MHF4U Trig Identities Formula Sheet

Worksheet # 2(odd), 4(odd), 8, 7(challenging)
W 3U 

3U: Reciprocal Trigonometric Identities

WS Part A # 2, 3, 4, 6, 9, 11, 12, 14, 15

(optional) WS 3.3 Trig Identities  (solutions)
W/Th 35

Equivalent Trigonometric Functions

 Trig Identities Sheet
 p.392 # 1, 2a, 3acd, 4a, 5abc
F Weekly Evaluation: Friday, Jan.08
   
  Week of Jan.11 to Jan.15
M 36

Compound Angle Formulas

(Addition & Subtraction Identities)

 Worksheet - RAA & CAST Rule (w/ Answers)
 p.400 # 1-­4, 5acf, 6cde, 8, 9ade, 10, 13
M/Tu 37

Double Angle Formulas

   p.407 # 1­-3, 5, 6, 8, 9 (see p.406), 13
Tu 38

Trigonometric Identities

MCR3U: WS 3.3 Trig Identities(solutions)

MHF4U: WS Trig Identities (solutions)

MHF4U: WS Trig Identities (by type)

 
W 39

Solving Linear Trig Equations

  

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

18
W/Th 40

Solving Quadratic Trig Equations

  

p.436 # 1, 3, 6ac, 7bd, 8ad, 9ac, 11, 14, 18
F Weekly Evaluation: Friday, Jan.15 
   
  Week of Jan.18 to Jan.22
M 41 Introduction to Logarithmic Functions
 Handout - Graphs of Exp & Log Functions
 p.451 # 4 - 9
M/Tu 42 Graphs & Transformations of Log Functions
  • note
  • no video lesson
 Worksheet - Transformations

p.456 # 1-3 (basics), 4, 5, 8, 9, 11

 
Tu 43

Evaluating Logarithms

 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
W 44

Laws of Logarithms

  

p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17
W/Th
 45

Solving Exp & Log Equations

  

p.485 # 2, 5, 8, 10, 17

p.491 # 4, 5, 7, 10, 12, 15, 16, 19
Th/F 46

Solving Exp & Log Problems

  

p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15, 17

Worksheet - Word Problems
M   Review: Logarithmic Functions   p.510 # 1, 2, 3, 6a, 7, 8, 10, 11bc, 13, 14ac, 15bd, 17, 19, 22
Tu
 Unit Evaluation: Monday, Jan.25
W 49

Adding & Subtracting Functions

   p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13
W/Th 50

Multiplying Functions

   p.537 # 1ae, 3, 4bef, 5bef, 8ad, 11, 12
Th 51

Dividing Functions

  

p.542 # 1, 2, 3

p.544 # 7
Th/F 52

Composition of Functions

  
 p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13

 

 

Week 3, Dec.7 to Dec.11  

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M   A

Average & Instantaneous Rates of Change

  

p.76 # 8, 9

p.85 # 4, 5, 7
M 24 A

Rates of Change in Polynomials

   p.235 # 5cde, 6cde, 7, 9, 11 
M 25 A

Graphs of Reciprocal Functions

  previous class note

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

# 16 (find equation of reciprocal (shown) and

original function)
Tu 26 B

Rational Functions & Asymptotes

  previous class note

 p.262 # 1, 2, 3
Tu 27 B

Graphing Rational Functions

Sample Problem PDF VT

 

previous class note
W 28 A

Solving Rational Equations

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

(see p.278 for help on 10, 13)
W 29 A

Solving Rational Inequalities

   p.295 # 1, 4acf, 5ace, 7, 9, 13
Th 28 B

Radian Measure

   p.320 # 1 -­ 4, 6 -­ 10, 15 
Th 29 B

Radian Angles in the Cartesian Plane

 p.330 # 1-­4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13 
F 30 A

Graphs of Trig Functions

(focus on tangent function)

 Video: Sine Graph from Circular Motion
 p.336 # 2c, 3, 5
F 31 A

Transformations of Trig Functions

 p.343 # 1bd, 3, 4, 5, 8ade, 9, 11, 12, 14

 

Week 2, Nov.23 to Nov.27:

Cohort A is in-person on Monday, November 16.  

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M 6 A

Piecewise Functions

 KA - Piecewise Example p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13 
M 12 A

Polynomial Functions

 [VT - Pascal's Triangle & Binomial Expansion]
 p.127 # 1 - 5
 

preview

  

Average & Instantaneous Rates of Change

  

p.76 # 8, 9

p.85 # 4, 5, 7
Tu 13 B

Characteristics of Polynomials

   p.136 # 5, 7, 8, 9, 12, 14, 15, 16
Tu 14 B

Characteristics of Factored Form

   p.146 # 1, 2, 4, 6, 9ab, 10, 12, 13, 14
W 16 A

Dividing Polynomials

KA - Polynomial Long Division 

KA - Synthetic Division

 p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14
W 17
 A

Factoring Polynomials

 KA - Example - Remainder Theorem

p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17
Th 18 B

Factoring Cubic Polynomials

  previous class note

 
Th 21 B

Solving Polynomial Equations

  previous class note p.204 # 6, 7ad, 10, 13, 16
F 22 A

Solving Linear Inequalities

  previous class note

p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19
F 23 A

Solving Nonlinear Inequalities Algebraically

  

p.225 # [1bd, 2, 3] fundamentals

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

18* [optional]

 

Week 1, Nov.16 to Nov.17:

Cohort B is in-person on Monday, November 16. 

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M/Tu 0 A/B Course Introduction    
M/Tu 0 A/B Health & Safety    
M/Tu 0 A/B The Flipped Classroom    

optional,

review

 0  

Review - Factoring (MCR3U)

  
M 1 B

Review - Functions, Domain, Range

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
M 3 B

Properties of Graphs

Khan A - Even/Odd Functions

Interval Notation

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

use handout for 12, 14

handout completed
T 4 A

Review: Transformations of Functions

handout

WS - Equations from Graphs (with solutions)

 p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab
T 5 A

Review: Function Inverses

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

 

 

Week 2, Nov.23 to Nov.27:

Cohort A is in-person on Monday, November 16.  

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M 6 A

Piecewise Functions

 KA - Piecewise Example p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13 
M 12 A

Polynomial Functions

 [VT - Pascal's Triangle & Binomial Expansion]
p.127 # 1 - 5
 

preview

  

Average & Instantaneous Rates of Change

  

p.76 # 8, 9

p.85 # 4, 5, 7
Tu 13 B

Characteristics of Polynomials

   p.136 # 5, 7, 8, 9, 12, 14, 15, 16
Tu 14 B

Characteristics of Factored Form

   p.146 # 1, 2, 4, 6, 9ab, 10, 12, 13, 14
W 16 A

Dividing Polynomials

KA - Polynomial Long Division 

KA - Synthetic Division

 p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14
W 17
 A

Factoring Polynomials

 KA - Example - Remainder Theorem

p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17
Th 18 B

Factoring Cubic Polynomials

  previous class note

 
Th 21 B

Solving Polynomial Equations

  previous class note p.204 # 6, 7ad, 10, 13, 16
F 22 A

Solving Linear Inequalities

  previous class note

p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19
F 23 A

Solving Nonlinear Inequalities Algebraically

  

p.225 # [1bd, 2, 3] fundamentals

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

18* [optional]

 

 

Week 3, Dec.7 to Dec.11  

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M   A

Average & Instantaneous Rates of Change

  

p.76 # 8, 9

p.85 # 4, 5, 7
M 24 A

Rates of Change in Polynomials

   p.235 # 5cde, 6cde, 7, 9, 11 
M 25 A

Graphs of Reciprocal Functions

  previous class note

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

# 16 (find equation of reciprocal (shown) and

original function)
Tu 26 B

Rational Functions & Asymptotes

  previous class note

 p.262 # 1, 2, 3
Tu 27 B

Graphing Rational Functions

Sample Problem PDF VT

 

previous class note
W 28 A

Solving Rational Equations

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

(see p.278 for help on 10, 13)
W 29 A

Solving Rational Inequalities

   p.295 # 1, 4acf, 5ace, 7, 9, 13
Th 28 B

Radian Measure

   p.320 # 1 -­ 4, 6 -­ 10, 15 
Th 29 B

Radian Angles in the Cartesian Plane

 p.330 # 1-­4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13 
F 30 A

Graphs of Trig Functions

(focus on tangent function)

 Video: Sine Graph from Circular Motion
 p.336 # 2c, 3, 5
F 31 A

Transformations of Trig Functions

 p.343 # 1bd, 3, 4, 5, 8ade, 9, 11, 12, 14

 

 

Week 4, Jan.04 to Jan.09:

Cohort B is in-person on Monday, January 04. 

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M 32 B

Graphs of Reciprocal Trig Functions

 worksheet p.353 # 1, 2, 3, 6, 7
M 33 B

Modelling with Trigonometric Function

worksheet w/ extra problems

Solutions: 1 2 3 4 5 6 7 8 9 10


 p.360 # 1­-3, 5, 6, 7, 9, 11
Tu 35 A

Equivalent Trigonometric Functions

 Trig Identities Sheet
 p.392 # 1, 2a, 3acd, 4a, 5abc
Tu 36 A

Compound Angle Formulas

(Addition & Subtraction Identities)

 Worksheet - RAA & CAST Rule (w/ Answers)
 p.400 # 1-­4, 5acf, 6cde, 8, 9ade, 10, 13
W 3U  B

3U: Fundamental Trigonometric Identities

 MHF4U Trig Identities Formula Sheet

Worksheet # 2(odd), 4(odd), 8, 7(challenging)
W 3U  B

3U: Reciprocal Trigonometric Identities

WS Part A # 2, 3, 4, 6, 9, 11, 12, 14, 15

(optional) WS 3.3 Trig Identities  (solutions)
Th 37 A

Double Angle Formulas

   p.407 # 1­-3, 5, 6, 8, 9 (see p.406), 13
Th 38 A

Trigonometric Identities

MCR3U: WS 3.3 Trig Identities(solutions)

MHF4U: WS Trig Identities (solutions)

MHF4U: WS Trig Identities (by type)

 
F 39 B

Solving Linear Trig Equations

 Quiz Solutions - Compound & Double Angles

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

18
F 40 B

Solving Quadratic Trig Equations

  

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

 

 

Week 5, Jan.18 to Jan.22:

Day

Lesson

#

Live

Cohort

 Topic / Lesson

Extra Resources

Assigned Work
M 41 B Introduction to Logarithmic Functions
 Handout - Graphs of Exp & Log Functions
 p.451 # 4 - 9
M 42 B Graphs & Transformations of Log Functions
  • note
  • no video lesson
 Worksheet - Transformations

p.456 # 1-3 (basics), 4, 5, 8, 9, 11
Tu 43 A

Evaluating Logarithms

 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
Tu 44 A

Laws of Logarithms

  

p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17
W 45 B

Solving Exp & Log Equations

  

p.485 # 2, 5, 8, 10, 17

p.491 # 4, 5, 7, 10, 12, 15, 16, 19
W 46 B

Solving Exp & Log Problems

  

p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15, 17

Worksheet - Word Problems
Th 49 A

Adding & Subtracting Functions

   p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13
Th 50 A

Multiplying Functions

   p.537 # 1ae, 3, 4bef, 5bef, 8ad, 11, 12
F 51 B

Dividing Functions

  

p.542 # 1, 2, 3

p.544 # 7
F 52 B

Composition of Functions

   p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13

 

 

 

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

 

Mark Breakdown:

     Unit Tests: 70%

     Final Exam: 30%

 

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

MHF4U Solutions Manual

  

Full Course (all video lessons, completed notes, assigned homework, extra resources)

 

 

 

 

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