MHF4U – Advanced Functions

Link to RHHS webpage

Link to Ms. Mitchell’s webpage

Link to: Unit 1, Unit 2, Unit 3

Unit 4, Unit 5, Unit 6

Unit #5:  Exponential and Logarithmic Functions

Prerequisite Skills

 

page 308    #

1, 2

5 – 7

8 – 12

Graph an Exponential Functions

Graph an Inverse

Apply Transformations to Functions

Page 362    #

1 – 4

5, 6

7

Apply the Exponent Laws

Solve Quadratic Equations

Simplify a Radical Expression

 

 

TOPIC

Text

Day

Homework   Questions

Equations and Graphs of Exponential Functions

6.1

1

Page 318 #1, 2, 7

Solving Exponential Equations

7.1 & 7.2

2

Page 368 #1 – 6, 10, 15
Page 375 #1, 6, 10, 11cde

Introduction to Logarithms

6.1 & 6.2

3

Page 318 #5, 8, 19, 20
Page 328 #1 – 4, 6a, 8, 10, 11, 13, 14, 15
***BOB is wrong for #15

Transformations of Logarithms

6.3

4

Page 338 #1, 3 – 8, 13bc, 17, 20
***4b) the point (1, 0) should be at (0.5, 0)

Power Law and Change of Base Formula

6.4 & 7.2

5

Page 347 #1 – 6, 9, 10, 15, 20
Page 375 #2, 3, 8, 15, 16

Product and Quotient Laws

Log Properties and Notation

7.3

6

Page 384 #3 – 7, 9, 10
***10d) the restrictions are x < -4 or x > 3

QUIZ – NO CALCULATORS

Date:

FRIDAY, DECEMBER 14, 2018
(includes topics from Day 1 – 5)

Solving Exponential Equations using Logarithms

7.1 & 7.2

7

Page 368 #7, 11, 12
Page 375 #4, 7, 11abf, 14, 20, 21

***14 the probability should be entered as a decimal, not a percent

Solving Logarithmic Equations

7.4

8

Page 391 #1 – 3, 5, 6, 9, 11a, 13

Applications of Logarithms

6.5

9

Page 353 #1, 2, 6 – 12, 19, 22

Sketching General Logs and more Solving Logarithmic Equations

10

Handout: Sketching Logarithmic Functions
Logarithmic Equations Practise

Review Day 1

11

Page 356 #1 – 4, 6, 8, 9, 11 – 18
Page 408 #1 – 5, 6a, 7 – 14, 16, 17

Extra Handouts:
Solving Exponential Equations
Logarithmic Review
Exponential & Logarithmic Functions
Extra Logarithmic Practise

Review Day 2

12

Page 356 #1 – 4, 6, 8, 9, 11 – 18
Page 408 #1 – 5, 6a, 7 – 14, 16, 17

Solving Exponential Equations
Logarithmic Review
Exponential & Logarithmic Functions
Extra Logarithmic Practise

Review Day 3

13

Page 356 #1 – 4, 6, 8, 9, 11 – 18
Page 408 #1 – 5, 6a, 7 – 14, 16, 17

Solving Exponential Equations
Logarithmic Review
Exponential & Logarithmic Functions
Extra Logarithmic Practise

UNIT #5 TEST

Date:

WEDNESday, JANUARY 9, 2018

 

 

 

 

 

 

 

Learning Targets:

 

 

¨ Understand that finding a logarithm is the reverse operation of exponentiation

¨ Recognize the relationship between an exponential function and the corresponding logarithmic function

¨ Identify the key features of the graphs of logarithmic functions of the form , and make connections between the graph and the equation of the function

¨ Evaluate simple logarithmic expressions

¨ Determine the approximate logarithm of a number to any base

¨ Solve simple exponential equations by rewriting them in logarithmic form

¨ Use the exponent laws to determine the laws of logarithms and then simplify and evaluate numerical expressions using these laws

¨ Determine the roles of the parameters, a, k, d, c in functions of the form , and describe these roles in terms of transformations on the graph of

¨ Solve problems based on real-world applications of exponential and logarithmic functions

¨ Simplify equivalent algebraic expressions involving logarithms and exponents

¨ Solve exponential equations by determining a common base and by using logarithms

¨ Solve exponential and logarithmic equations in one variable

¨ Solve problems based on real-world applications of exponential and logarithmic functions