MHF4U – Advanced Functions

 

Link to Ms. Wang’s Webpage                                                  

Link to RHHS Math Page

 

 

Upcoming Evaluations:

Evaluation

Topics

Date

Quiz

Ration Expressions, Rational Equations, reciprocal of linear, reciprocal of quadratics

March 26

Unit Test #2

All of Unit 2

April 3

       

 

Unit 2:  Rational Functions

Date

Topic/Learning goals

Daily Work/Assignments

Wed Mar 11

Review of Rational Expressions

We will review how to simplify rational expressions that require multiplication, division, addition, and subtraction.  To recall how to state restrictions of rational expressions.

Handouts: 

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

·        Untitled Handout… J

(Click here for a copy with answers)

 

Extra Practice:

Adding and Subtracting R.E.

(Click here for a copy)

 

Thur March 12

Solving Rational Equations

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

Handout:  Solving Rational Equations – Word Problems

Click here for a copy!

 

p. 183 #1, 2, 6, 9, 18

 

Click here for extra practice

Fri Mar 13

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 behavior of a function.

p. 153 #2 – 5, 7 – 10, 13, 15

 

Have a wonderful March Break!

 

Mon Mar 23

Reciprocals of Quadratic Functions – Day 1

We will investigate the behaviour of reciprocals of quadratic functions.

 

Click here for a copy of the lesson!

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

p. 166 #3, 9 – 14, 16, 17

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.

 

Click here for a copy of the lesson!

Tue Mar 24

Linear over Linear Functions

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

 

Click here for a copy of the lesson!

p. 174 #1 – 12, 14

Wed Mar 25

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.

 

Click here for a copy of the lesson!

 

p. 174 #16

p. 190 #4

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

Thu Mar 26

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.

Click here for a copy of the lesson

Quiz

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

p. 190 #8 – 10

Fri Mar 27

Review of Graphing

We will develop our skills with graphing rational functions.

Quiz

Handout:  Review of Graphing Rational Functions

Mon Mar 30

Solving Rational Inequalities

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

Handout:

p. 185 #4, 5, 7, 8, 10, 12, 13, 16

 

 

Tue Mar 31

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, 3, 4,ace, 5, 7, 9, 10,16*17 *

 

 

Click here for extra rate of change problems!

Wed Apr 1

Review – Day 1

Handout: Rational Functions (Review)

p. 192 #1 – 16

 

Click here for more Rational Equations Word Problems!!

 

Thu Apr 2

Review – Day 2

p. 192 #1 – 16

 

Click here for more Rational Equations Word Problems!!

Fri Apr 3

UNIT TEST #2

UNIT TEST #2