U1 – Polynomials

• 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.

• Pg. 11 #1-5, 7, 10,11
• completed notes

• 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.

• Students see relationship between the equation of a polynomial and the zeros
• Students will sketch polynomials

• 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

• day 2 – complete handout

Secants pg. 62 #