Reflection: Got zeros? Polynomials do! Multiplicity of Zeros (Day 2 of 3) - Section 1: Homework Quiz

 

My students take their homework quizzes on their personal response systems. I ask 10 questions ‘randomly’ from the homework. I try to do a nice blend of difficult and easy problems and problems that are both new to students and review. Homework has two major purposes for this course:

  1. to revisit and practice concepts learned in the class [pretty typical of most homework assignment in most classes I would assume :)]
  2. to review basic skills that are required for upcoming lesson

Here is an example of the Homework Quiz Questions from this week over worksheets #1-3 in this unit.


The purpose of the homework quiz is mainly to hold my students accountable for completing their work. I really feel that even the homework quiz is somewhat of a learning experience too. The rigor level of the homework is dropped significantly when I give students multiple choice answers. However, it is a great way to communicate to students that their free response answers are probably correct if they are finding it in their possible answer choices. I also program the clickers to give students a quick ‘correct’ or ‘incorrect’ so they are getting feedback on their homework with very little work on my part. I also allow time at the end of the quiz for students to ask question on the problems they got wrong and can’t figure out why.

Even without personal response systems a multiple choice homework quiz can certainly save teachers time as the grading is very easy. By no means is their ‘quiz’ a summative assessment in my class. It is far more of a formative assessment to give me an overview of how the class is doing. When I pull the data from the clickers I can view it by individual students or by question.  

Here is how the Individual Student Scores display. This gives me a great idea of who either really needs help or is not doing their homework. I can then talk with these students about what I can do to help them be more successful and assign tutoring as needed.

I can also view results by questions. This gives me such a great opportunity to identify where my students are struggling as a whole. For example, if a question returns results like this (Students displaying mastery) I can conclude that students understand this concept. Note how the kids that did get the question wrong took over a minute to answer it. They didn’t do their homework. However, if a question produces results like this (Students not displaying mastery) I know that this needs to be re-addressed again in class. As a matter of fact, this was a question I reviewed with student immediately following the homework quiz. I will also be sure to spiral in this concept as the test approaches in the test review days.



 

  Analyzing Homework Quizzes
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Got zeros? Polynomials do! Multiplicity of Zeros (Day 2 of 3)

Unit 2: Polynomial Functions and Equations
Lesson 6 of 15

Objective: SWBAT• Determine the degree of the polynomial functions and the effect the degree has upon the end behavior of the functions. • Write possible equations for a polynomial function, given information about its zeros. • Write the equations in factored form, given the graphs of three functions.

Big Idea: Using Nspire Calculators, students investigate the relationships of polynomial functions, their degree, end behaviors, zeros and x-intercepts.

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Subject(s):
Math, degree of a polynomial, end behavior (polynomials), Precalculus and Calculus, polynomials, x-intercepts, Algebra 2, PreCalculus, zeros of functions, Algebra, Multiplicity of Zeros, Nspire Calculators, Texas Instruments
  51 minutes
end behaviors
 
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