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 (Sept 10 – 17)

Sept 20

Quiz

Slopes/Remainder and Factor Theorem

(Sept 18 – 26)

Sept 28

Unit Test #1

All of Unit 1

Oct 4

       

 

Unit 1:  Polynomial Functions

Date

Topic/Learning goals

Daily Work/Assignments

Wed Sep 5

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

 

Thu Sep 6

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!!

Fri Sep 7

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

Mon  Sep 10

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

Tue Sep 11

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

Wed Sep 12

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

Thu Sep 13

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

Fri Sep 14

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

Mon Sep 17

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

Tue Sep 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 Sep 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 Sep 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

Fri Sep 21

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

Tue Sep 25

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

Wed Sep 26

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

Thu Sep 27

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

Fri Sep 28

 

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

Mon Oct 1

Solving Polynomial Inequalities

We will determine a graphical and algebraic solution to solve polynomial inequalities.

p. 138 #2, 4, 6bc, 9, 12, 14*, 16*

Tue Oct 2

Review – Day 1

Text p. 74 – 77 (omit 8d, 18)

        p. 78 – 79

Wed Oct 3

Review – Day 2

Text p. 140 – 141 (omit 10b, 15, 16, 18c)

        p. 142 – 143 (omit 14, 15)

Thu Oct 4

UNIT TEST #1

UNIT TEST #1