MHF4U – Advanced Functions

Link to RHHS webpage

Link to Ms. Mitchell’s webpage

Link to: Unit 1, Unit 2, Unit 3

Unit #4:  Trigonometric Functions

Prerequisite Skills

 

page 250    #

1, 2

3, 4

5 – 9

10, 11

15

Trigonometric Ratios of Angles using Radian Measure

Exact Trigonometric Ratios of Special Angles using Radian Measure

Graphs & Transformations of Sinusoidal Functions using Degree Measure

Angles from Trigonometric Ratios

Rates of Change for Polynomial Functions

 

 

TOPIC

Text

Day

Homework   Questions

Review of Trig Graphs

5.1

1

Page 258 #1, 3, 5, 7, 9 – 11, 14

Graphs of Reciprocal Trig Functions

5.2

2

Page 267 #4 – 7, 9, 10, 13, 15, 16

Transformations of Trig Functions

5.3

3

Page 275 #2 – 4, 6, 8ab, 9ab,  10, 11

Applications of Trig Functions
Day 1

4

Page 258 #12, 13, 15, 17 – 20
Page 277 #12 – 14, 15a, 19 – 21

Applications of Trig Functions
Day 2

5

Page 268 #11
Handout: More Applications of Trig Functions

Trig Equations
Day 1

5.4

6

Page 287 #1, 3, 7, 9 – 19, 22

QUIZ

Date:

WEDNESDAY, NOVEMBER 28, 2018
(includes topics from Day 1 – 5)

Trig Equations
Day 2

5.4

7

Page 289 #23, 24, 26, 28
Handout: More Trig Equation Fun!!

Rate of Change of Trig Functions

5.5

8

Page 296 #1, 3, 6, 7, 10, 11

Review Day 1

9

Page 300 #1 – 13
Page 302 #1 – 14

IN-CLASS ASSIGNMENT

Date:

MONday, DECEMBER 3, 2018

Review Day 2

11

Page 300 #1 – 13
Page 302 #1 – 14

UNIT #4 TEST

Date:

WEDNESday, DECEMBER 5, 2018

 

 

 

 

 

 

 

Learning Targets:

 

 

¨ Sketch and identify the key properties: amplitude, period and phase shift, of the graphs of f (x) = sin x and f (x) = cos x when expressed in radians

¨ Use graphing software to graph the function f (x) = tan x in order to make connections between the tangent ratio and the angle in radians and to describe the key properties of the function

¨ Graph the reciprocal trigonometric functions for angles measured in radians and describe the key properties of each reciprocal function

¨ Determine the amplitude, period and phase shift of the sinusoidal functions in the form f (x) = a sin (k(x – d)) + c and
f (
x) = a cos (k(x – d)) + c, where the angle is expressed in radians

¨ Use transformations to sketch the functions form f (x) = a sin (k(x – d)) + c and f (x) = a cos (k(x – d)) + c

¨ Determine the equation for a sinusoidal function (expressed in radians) when given the graph or the key properties

¨ Solve real-life application problems involving trigonometric functions with a domain expressed in radians