MHF4U – Advanced Functions
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 xvalue. Click here
for a copy of the lesson! 
p.
174 #16 p.
190 #4 and
graph y = [(x – 5)(x – 2)] / (x^{2} +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
realworld 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 