MHF4U – Advanced Functions

Link to RHHS Math webpage

Link to Ms. Mitchell’s webpage

 

Unit #1:  Polynomial Functions

 

 

 

TOPIC

Text

Day

Assigned Questions

Introduction

 

1

Handout: Essential Skills Review
Solutions for Essential Skills Review

Review Day 2

 

2

Handouts: Exercise & Advanced Factoring

Review Day 3

 

3

Handouts: Polynomial Expressions and Equations
Prerequisite Skills
: #5 – 12

Power Functions

1.1

4

Handout: Characteristics of Power Functions

Page 12  #3 – 11, 14, 16 – 18

Characteristics of Polynomial Functions
Day 1

1.2

5

Handout: Polynomial Functions - Summary

Page 26  #1, 2, 3i, 5, 6

Characteristics of Polynomial Functions
Day 2

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
Handout: Transformations of Functions

Page 49  #1 – 7, 10, 12, 15

Slopes of Secants and
Average Rate of Change

1.5

10

Page 62  # 1 – 4, 5ace, 7, 9, 10, 12, 13

Slopes of Tangents and
Instantaneous Rates of Change

1.6

11

Page 71  #1 – 4, 7 – 10, 12

QUIZ

Date:

Thursday, September 20, 2018
(includes topics from Day 1 – 9)

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
Day 1

2.2

14

Page 102  #1 – 4, 6, 9, 12 – 15, 20, 22

The Factor Theorem
Day 2

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)
Page 78 – 79
Page 140 – 141 (omit 10b, 15, 16, 18c)
Page 142 – 143 (omit 14, 15)

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 x-intercepts 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 x-intercept 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.