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 |