MHF4U – Advanced Functions

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