MHF4U Advanced Functions
Link
to Ms. Mitchells webpage
Unit #1: Polynomial
Functions
TOPIC 
Text 
Day 
Assigned Questions 
Introduction


1 
Handout:
Essential Skills Review 
Review Day 2


2 
Handouts:
Exercise & Advanced Factoring 
Review Day 3


3 
Handouts:
Polynomial Expressions and Equations 
Power Functions

1.1 
4 
Handout: Characteristics of Power Functions Page 12 #3
11, 14, 16 18 
Characteristics
of Polynomial Functions 
1.2 
5 
Handout: Polynomial Functions  Summary Page 26 #1,
2, 3i, 5, 6 
Characteristics
of Polynomial Functions 
6 
Handout: Investigation of Finite Differences Page 26 #3ii,
iii, 7, 8acdef, 11 18 

Equations
& Graphs of Polynomial Functions 
1.3 
7 
Handout: Equations and Graphs of Polynomial Functions Page 39 #1,
2, 6, 9 11, 13 
Even and
Odd Functions 
8 
Page 39 #3
5, 7, 8(omit 8c), 12, 14 

Transformations 
1.4 
9 
Warm up: Evens and Odds  Practice Page 49 #1
7, 10, 12, 15 
Slopes
of Secants and 
1.5 
10 
Page 62 # 1 4, 5ace, 7, 9,
10, 12, 13 
Slopes
of Tangents and 
1.6 
11 
Page 71 #1 4, 7 10, 12 
QUIZ 
Date: 
Thursday, September 20, 2018 

Dividing
Polynomials 
2.1 
12 
Page 91 #1, 2, 3aceg, 4 6 
The Remainder Theorem 
13 
Page
91 #7 10, 11ab, 12 16, 20 23 

The Factor Theorem 
2.2 
14 
Page
102 #1 4, 6, 9, 12 15, 20, 22 
The Factor Theorem 
15 
Page
102 #5, 7, 10, 11, 17 19 

Solving Polynomial
Equations 
2.3 
16 
Page
110 #3, 4, 7eo, 8eo, 12 15, 17, 18,
20, 24 
QUIZ 
Date: 
Friday, September 28, 2018 (includes topics from Day 10 15) 

Families of Polynomial
Functions 
2.4 
17 
Page
119 #1  3, 6, 7, 9, 11, 13, 15, 19,
22 
Solving Polynomial
Inequalities 
2.6 
18 
Page
138 #2, 4, 6bc, 9 
Review

19 & 20 
Page 74  77
(omit 8d, 18) 

UNIT #1 TEST

Date: 
Thursday, October 4, 2018 
Learning
Targets:
¨ Identify
polynomial expressions and polynomial functions
¨ Represent
polynomial functions numerically, graphically, and algebraically
¨ Describe key
features of the graphs of polynomial functions
¨ Distinguish
polynomial functions from exponential and sinusoidal functions
¨ Identify the
connection between the factored form of a polynomial function and the
xintercepts of the corresponding graph
¨ Sketch the graph of
a polynomial function using the key features given the factored form of the
equation
¨ Describe the
transformation associated with the roles of the parameters a, k, c, and d in polynomial functions of the form
y
= a f [k(x d)] + c
¨ Determine an
equation of a polynomial given a set of conditions
¨ Identify and
distinguish properties of even and odd polynomial functions
¨ Calculate and interpret the average rates of
change of functions given as a table of values, graph or equation
¨ Understand the difference between average rate of
change and instantaneous rate of change
¨ Approximate the instantaneous rate of change by
reducing the interval over which the average rate of change is calculated
¨ Use long division to
divide a polynomial by a binomial
¨ Use the Remainder Theorem
to identify the remainder of the division of a polynomial by a binomial and to
verify a binomial divisor of a given function
¨ Use the Factor Theorem to
identify binomial divisors of a given function
¨ Make connections between
the real roots of a polynomial equation and the xintercept of the corresponding polynomial function
¨ Recognize families of
polynomial functions when in factored form
¨ Represent inequalities
algebraically and on a number line
¨ Solve linear inequalities
and factorable polynomial inequalities with one variable.