# Activities

• • ##### Author Aust Senior

4 Hours

• ##### Device
• TI-Nspire™ CX CAS

5.0

## Personal Polynomials #### Activity Overview

Watch Activity Tutorial

If A = 1, B = 2 ... your name could be converted into numbers and described as a function, your Personal Polynomial. What does your polynomial look like? Students find their own personal polynomial and then study its properties. They set up and use simultaneous equations to find their polynomial, the bisection method to locate x-axis intercepts and transformations to compare others. Palindromic names create polynomials with an axis of symmetry. Is it possible for two names to generate the same polynomial, Alex(x) compared with Alexander(x)? A guided exploration task that will run over several lessons.

#### Objectives

• Simultaneous equations
• Bisection method
• Degree of a polynomial
• Symmetry of a polynomial
• Odd and even degree characteristics
• Simple transformations

#### Vocabulary

• Polynomial
• Degree
• Odd and Even
• Symmetry
• Bisection Method