U1 – Polynomials

 

Day Lesson Title Exercises
1

 

1.1  Power Functions

  • Students identify similarities and differences between polynomial and non-polynomials using the Polynomial Concept Attainment activity.
  • As a class define a polynomial function
  • Students are to use the TI-Nspire calculators and the activity to identify similarities in power functions with even and odd degrees, positive and negative leading coefficients.
  • Give definitions for Line Symmetry and Point Symmetry.
  • How does the leading coefficient of the function affect the graph of the polynomial?

 

Will need to define: end behaviour and leading coefficient. Review Domain and Range.

Use the smart Notebook Matching Exercise to complete an Achievement check.

2 & 3

 

1.2  Characteristics of Polynomials.

  • Use 1.2-characteristics of Polynomials TI-Nspire Activity to achieve the following class goals.
    • Goal 1 – Relate the end behaviour to the degree
    • Goal 2 – Relate the number of zeros to the degree
    • Goal 3 – Relate the number of local maximums and local minimums to the degree
    • Goal 4 – Relate the finite differences to the degree.

 

Pg. 26 #1-6,12,14-16
4 Equations of Polynomials

  • Students see relationship between the equation of a polynomial and the zeros
  • Students will sketch polynomials
Pg. 39 # 1-3,6,7,9
5 Quiz!!!

  • Day 1 – Transformations of Polynomials – students complete an activity that relates transformations to even and odd degree polynomial definitions.
  • Day 2 – students sketch polynomials and generage equations
  • day 1 – Complete handout

 

6 Secants & Average Rate of Change

 

 

Secants pg. 62 #

7 Tangents & Instantaneous Rates of Change Pg. 71 #1-4,6,7
8-9 Review/TIPS Pg. 74 #1-18, pg. 78 #1-12
10

 

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