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 e-learning, 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