MHF4U – Advanced Functions

 

                                             Link to RHHS Math Page

 

Upcoming Evaluations:

Evaluation

Topics

Date

Quiz #6

Graphing and properties of logarithms

(Dec 7 – 14)

Tuesday, December 19

UNIT TEST #5

All of Unit 5

Wednesday, January 10

       

 

Unit 5:  Exponential and Logarithmic Functions

Date

Topic/Learning goals

Daily Work/Assignments

Thu Dec 6

Equations and Graphs of Exponential Functions

To apply transformations to exponential functions, and discover how to determine the equation of an exponential function given its graph.

 

Click here for solutions to the lesson handout

 

Click here for an algorithm for finding equations of exponential functions given their graphs.

p. 318 #1, 2, 7

 

Handout: Exponential Functions from Graphs

Click here for answers

Fri Dec 7

Exponential Function Graphing Transformations and Inverse

p. 368 #1 – 6, 10, 15

p. 375 #1, 6, 10, 11cde

Mon Dec 10

Intro to Logarithms

To develop the notation for logarithms.  Show how the graphs of exponential and logarithmic functions are related.

p. 318 #5, 8, 19, 20

p. 328 #1 – 4, 6a, 8, 10, 11, 13, 14, 15

 

Note: For 15, answer is incorrect

Tue Dec 11

Solving Exponential Equations

To review how to solve exponential equations where the bases can be the same.

Log Practice

p. 368 #1 – 6, 10, 15

p. 375 #1, 6, 10, 11cde

Wed Dec 12

Transformations of Logarithms

We will learn to find the equation of a general logarithmic function given its graph.

p. 338 #1, 3 – 8, 13bc, 17, 20

 

Note:  For 4b) the point (1, 0) should be at (0.5, 0)

Thu Dec 13

Power Law and Change of Base Formula

We will develop the laws for working with logarithms.

p. 347 #1 – 6, 9, 10, 15, 20

p. 375 #2, 3, 8, 15, 16, 20

Fri Dec 14

 

Product and Quotient Laws

To use our knowledge of exponent laws to develop the product and quotient laws for logarithms

Click here for a sheet on proper notation!

p. 384 #3 – 7, 9, 10

 

Note:  Restrictions for 10d) are x<– 4 or x>3

Mon Dec 17

Solving Exponential Equations using Logarithms

We will learn to solve exponential equations where the bases are not the same and require logarithms to solve.

p. 368 #7, 11, 12

p. 375 #4, 7, 11abf, 14, 20, 21

 

Note:  For 14 the probability should be entered as a decimal and not a percent

Tue Dec 18

Solving Logarithmic Equations

We will solve logarithmic equations using the laws, and discuss extraneous roots.

 

Click here for the logarithm notation summary

p. 391 #1 – 3, 5, 6, 9, 11a, 13

Wed Dec 19

Applications of Logarithms

To apply our knowledge of logarithms to real-world situations involving intensity, ph, etc.

p. 353 #1, 2, 6 – 12, 22

Thu Dec 20

Sketching General Logs and more Solving Logarithmic Equations

To discover how to graph logarithmic functions with bases other than 10.  We will review transformations and apply them to logarithmic functions.

Handouts:

Sketching Logarithmic Functions

Click here for answers

 

Logarithmic Equations Practise

*Solution for 7 is approx. 2391 years*

Fri Dec 21

Test Review – Day 1

To practice our skills with exponential and logarithmic functions.

p. 356 #1 – 4, 6, 8, 9, 11 – 18

p. 408 #1 – 5, 6a, 7 – 14, 16, 17

 

Handouts:

Logarithmic Review

Solving Exponential Equations

Review:  Exponential & Logarithmic Functions

 

Click here for extra practise with logarithms

 

Dec 22 –

Jan 6

 

HAVE A WONDERFUL

AND RESTFUL BREAK!!

 

(But for those of you who can’t wait… Exam Review Package)

 

Mon Jan 7

Begin Final Unit?/Test Review – Day 3

 

 

Review for Test

Tue Jan 8

Test Review – Day 4

 

Review for Tomorrow’s Test

 

Wed Jan 9

UNIT TEST #5

UNIT TEST #5

 

Work on review for next unit

p. 414 #1 – 5, 7 – 9, 11, 13, 14