## Reflection: Developing a Conceptual Understanding Sketching Graphs of Polynomial Functions - Section 1: Launch and Explore

Here is an example of a student's sketch for the first graph we looked at that had a repeated root. This student had a partial understanding of the polynomial function - he knew that since it was a fourth degree polynomial, the end behavior must going in the same direction. He also knew that the graph would point upwards.

There were some students that realized that if this sketch were correct, then there would have to be an additional factor in the equation of the function. This was a great way to really find out what was happening at that repeated root while also reviewing factors in an equation.

Developing a Conceptual Understanding: Recognizing Partial Understanding

# Sketching Graphs of Polynomial Functions

Unit 2: Polynomial and Rational Functions
Lesson 2 of 12

## Big Idea: Build upon existing knowledge of second and third degree functions to sketch graphs of other polynomial functions.

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50 minutes

### Tim Marley

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