Reflection: Exit Tickets Proving Polynomial Identities - Section 4: Exit Ticket and Homework Assignment


The trick to writing a good exit ticket is making sure the problem is basic enough to be approachable by students with only an entry level understanding of the concept, but complex enough to measure true understanding. I don’t accumulate much useful information from blank papers or from papers that are a simple dictation of the work accomplished as a class.

To assess my students’ ability to prove a polynomial identity, I chose an equation that requires only a few simple steps to prove makes the exercise approachable. Also, I arranged the identity so that the best side for manipulation falls on the left.  This  introduces a level of complexity that maintains the difficulty but assesses true understanding. Some of my students will dive in and assume that they should be manipulating the right side, and will find themselves in a mess! This can be very telling, and tomorrow I can pull them aside and do a brief reteaching while others are working on their warm-up or other activities.

  Writing Good Exit Tickets
  Exit Tickets: Writing Good Exit Tickets
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Proving Polynomial Identities

Unit 4: Polynomial Theorems and Graphs
Lesson 2 of 15

Objective: SWBAT prove polynomial identities and use them to describe numerical relationships.

Big Idea: There are links between polynomials and geometry. Both branches of math use proof and a polynomial identity can be used to generate Pythagorean triples.

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