Reflection: Perseverance Transformations on Quadratic Functions Day 1 of 2 - Section 4: Homework

 

There are several problems in this homework that challenged my students.  Although many of my students struggled with representing quadratic equations as an area model, most were able to complete the first several problems.  Problem Number 4 stumped many students due to the 5/2.  Fractions scare many of them.  I am hopeful that eventually the Common Core will address these issues and future classes will come with a more solid foundation in fractions. In the mean time, this definitely needs to be addressed when correcting this assignment.  

The final problem was also a challenge.  My students are relatively new to extensive compare and contrast problems in mathematics.  I received many unacceptable answers like Student Work 1.   My hope was to receive more answers like Student Work 2.  I am realizing that I need to clarify my expectations for writing-type problems.  Next year, I will increase the direct training at the beginning of the year for problems like this.  It is so important that students get practice fully explaining their reasoning in a mathematics classroom as this is one of the main habits of mind associated with the Common Core.  Thirty percent of the Smarter Balanced assessment centers on Math Practice 3 (Construct viable arguments and critique the reasoning of others.) and I am sure that there is a similar requirement in the PARCC assessment.  More importantly, we want to produce students who are confident and courageous in their ability to explore mathematics. This is a problem that we will look at during corrections and I will ask the students to extend their explanations.  

  Perseverance: Cool Problems in This Homework
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Transformations on Quadratic Functions Day 1 of 2

Unit 5: Radical Functions and Equations
Lesson 2 of 8

Objective: Students will be able to graph quadratic functions using transformations.

Big Idea: Use the area model of a quadratic function to explain why transformations work.

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Subject(s):
Math, quadratic functions, Algebra, Function Operations and Inverses, Algebra 2, master teacher project, transformations on quadratic functions
  50 minutes
image transformations of quadratic functions day 1
 
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