MHF4U – Advanced Functions
Link to Ms Wang’s
Webpage Link to RHHS Math Page
Upcoming Evaluations:
Evaluation 
Topics 
Date 
Quiz 
Characteristics and graphs of polynomials/even
and odd functions/transformations (Feb 3 – 18) 
Feb
20 
Quiz 
Slopes/Remainder and
Factor Theorem (Feb18 – 25) 
Feb
27 
Unit
Test #1 
All
of Unit 1 
Mar
4 
Unit 1:
Polynomial Functions
Date 
Topic/Learning
goals 
Daily
Work/Assignments 
Mon Feb 3 
Introduction To determine what the expectations are for the course and to
begin to get to know each other. Click here to
see the course info sheet We will complete a diagnostic and begin review of previous
material. 
Handout: Essential Skills Review Click
here for
answers 
Tue
Feb 4 
OSST
STRIKE against erase the maximum class size, against elearning, against education
cut … 

Wed
Feb 5 
Review
Day 2 We will review the concept of factoring. 
Handouts: ·
Exercise ·
Advanced
Factoring Click
here for more advanced
factoring Click
here for more factoring
fun!! 
Thu
Feb 6 
Review
Day 3 To recall our knowledge of equations and functions. This includes simplifying, solving,
finite differences, domain and range, and transformations. 
Handout: Polynomial
Expressions and Equations Photocopy: p.
2 – 3 #5 – 12 Click
here for a copy 
Fri
Feb 7 
Power
Functions To discover the properties and graphs of power functions. Click here for the class lesson Click here
for the textbook lesson for section 1.1 
p.
12 #3 – 11, 14, 16 – 18 For
those without a textbook click here
for the homework with answers 
Mon
Feb 10 
Characteristics
of Polynomial Functions (Day 1) We will investigate the properties of polynomial functions. 
p.26
#1, 2, 3i, 5, 6 Click
here for a copy 
Tue
Feb 11 
Characteristics
of Polynomial Functions (Day 2) To determine the connections between the finite differences and
properties of a polynomial function. 
p.
26 #3ii, iii, 7, 8acdef, 11 – 18 Click
here for a copy 
Wed
Feb 12 
Equations
and graphs of Polynomial functions We will determine how to graph a polynomial function from
factored form and learn about order of roots. 
p.
39 #1, 2, 6, 9 – 11, 13 Click
here for a copy 
Thu
Feb 13 
Even
and Odd Functions To understand the differences between, and the properties of odd
and even functions. Click here for
today’s textbook lesson 
p.
39 #3 – 5, 7, 8(omit 8c), 12, 14 Click
here for a copy 
Fri
Feb 14 
Transformations We will apply our previous knowledge of transformations to power
functions. To recall proper
terminology and notation. 
p.
49 #1 – 7, 10, 12, 15 
Mon
Feb 17 
Have a wonderful family day! 

Tue
Feb 18 
Slopes
of Secants/Average Rates of Change We will discover how to calculate the average rate of change and
use it in different applications. 
p.
62 #1 – 5, 7, 9, 10, 12, 13 
Wed
Feb 19 
Slopes
of Tangents/Instantaneous Rates of Change To understand the difference between instantaneous and average
rates of change. We will also
learn to approximate an instantaneous rate of change. 
p.
71 #1 – 4, 7 – 10, 12 
Thu
Feb 20 Quiz 
Dividing
Polynomials To discover the method for polynomial long division and learn to
write the division in different forms. 
p.
91 #1 – 6 Handout: Polynomial Long Division 
Mon
Feb 24 
Remainder
Theorem We will determine the remainder theorem and use it to find the
remainder of polynomial division. 
p.
91 #7 – 10, 11ab, 12 – 16, 18, 20 – 23 
Wed
Feb 26 
Factor
Theorem – Day 1 We extend the remainder theorem to the factor theorem and use it
to factor polynomials with a leading coefficient of 1. 
p.
102 #1 – 4, 6, 9, 12 – 15, 20 – 22 Click
here for a solution to #22 
Thu
Feb 27 
Factor
Theorem – Day 2 To learn how to apply the factor theorem to factor polynomials
with a leading coefficient other than 1. 
p.
102 #5, 7, 10, 11, 17 – 19 
Fri
Feb 28 
Solving
Polynomial Equations We will use factor theorem and our knowledge of solving linear
and quadratic equations to solve polynomial equations. 
p.
110 #3, 4, 7, 8eop, 12 – 15, 18, 20, 24 Click
here for a solution to #24 
Mon
Mar 2 Quiz 
More
Solving Polynomial Equations/Families of Polynomial Equations To define what a family of equations is, and to determine
equations of polynomial functions with given properties. 
p.
119 #1 – 3, 6, 7, 9, 11, 13, 15, 19, 22 
Tue
Mar 3 
Solving
Polynomial Inequalities We will determine a graphical and algebraic solution to solve
polynomial inequalities. 
p.
138 #2, 4, 6bc, 9, 12*(you’ve to use technology or complex number),
14*, 16* 
Wed
Mar 4 
Review
– Day 1 
Text
p. 74 – 77 (omit 8d, 18) p.
78 – 79 
Thu
Mar 5 
Review
– Day 2 
Text
p. 140 – 141 (omit 10b, 15, 16, 18c) p.
142 – 143 (omit 14, 15) 
Fri
Mar 6 
UNIT
TEST #1 
UNIT
TEST #1 