MHF4U – Advanced Functions

 

Link to Mrs. Marsella’s Webpage                                                 Link to RHHS Math Page

 

Links to previous units:  Unit 1

 

Upcoming Evaluations:

Evaluation

Topics

Date

Quiz #3

Rational Equations and Graphing Rational Functions

(Oct 5 – Oct 16)

Thursday, Oct 18

Unit Test #2

All of Unit 2

Friday, October 26

       

 

Unit 2:  Rational Functions

Date

Topic/Learning goals

Daily Work/Assignments

Fri Oct 5

Solving Rational Equations

To use our knowledge of rational expressions and polynomial equations to solve rational equations.

p. 183 #1, 2, 6, 9, 15

 

Click here for extra practice

Handouts to review Grade 11 skills: 

·        Simplifying, Multiplying and Dividing R.E.  (Click here for copy with answers)

·        Untitled Handout… J

(Click here for a copy with answers)

 

 

Mon Oct 8

HAPPY THANKSGIVING!!

ENJOY YOUR BREAK!!

Tue Oct 9

Reciprocals of Linear Functions

We will learn how to graph functions that are reciprocals of linear functions.  To familiarize ourselves with notation used to describe the behaviour of a function.

p. 153 #2 – 5, 7 – 10, 13, 15

Wed Oct 10

Reciprocals of Quadratic Functions – Day 1

We will investigate the behaviour of reciprocals of quadratic functions.

p. 164 #2, 4, 5ace (omit table), 7, 8adgh

Thu Oct 11

Reciprocals of Quadratic Functions – Day 2

To practice our skills and summarize the behaviour of functions that are reciprocals of quadratic functions.  Discuss the slope table.

p. 165 #3(omit last row), 9, 11 – 14, 16, 17

Fri Oct 12

Linear over Linear Functions

We will discover the properties of linear over linear functions, including asymptotes.

p. 174 #1 – 12, 14

Mon Oct 15

More Rational Functions

To develop an algorithm for graphing rational functions.

Determine the circumstances when a function has a point discontinuity instead of a vertical asymptote at a particular x-value.

p. 176 #16

p. 190 #4

and graph y = [(x – 5)(x – 2)] / (x2 +2)

Tue Oct 16

 

Oblique Asymptotes

We will discover which functions will have an oblique asymptote and learn how to determine the behaviour of the function near the asymptote.

p. 176 #17 – 19  (answer for 18 should be C)

p. 190 #8 – 10

Wed Oct 17

Review of Graphing

We will develop our skills with graphing rational functions.

Handout:  Review of Graphing Rational Functions

Click here for a copy

 

Click here for solutions!!

Click here for a correct solution for n)

Thu Oct 18

 

Quiz

Solving Rational Inequalities

To extend our skills with solving inequalities to discover the method for solving rational inequalities.

Handout:

p. 185 #4, 5, 13, 16

 

 

Fri Oct 19

Applications of Rational Functions/Rates of Change

We will apply our knowledge of solving rational equations, solving rational inequalities, and graphing rational functions, to solve real-world problems

p. 189 #1, 2, 14, 15

 

*Correction #15 – V.A. is R = -0.4, and there is a max point at (0.4, 75)

 

Click here for rate of change handout

Mon Oct 22

PA DAY

Enjoy your long weekend!!

Tue Oct 23

Review – Day 1

p. 192 #1 – 5, 7 – 12 (omit 12c), 13, 15, 16

 

Handout: Rational Functions (Review)

Click here for a copy!!

 

Click here for more Rational Equations Word Problems!!

Wed Oct 24

In Class Assignment

In Class Assignment

Thu Oct 25

Review – Day 2

p. 192 #1 – 5, 7 – 12 (omit 12c), 13, 15, 16

 

Handout: Rational Functions (Review)

Click here for a copy!!

 

Click here for more Rational Equations Word Problems!!

Fri Oct 26

UNIT TEST #2

UNIT TEST #2