Reflection: Staircase of Complexity Operations with Polynomials Day 1 of 2 - Section 2: Finding Sums and Differences Graphically and Algebraically


I was surprised at how challenging my students found adding and subtracting graphs.  As a group, they could add the graphs because they could visually see it, as shown in this sample Student Notes.  Once we got to subtraction, many of them could do it until we went into negatives.  They struggled not only seeing the values intuitively, but having the perseverance to find each point algebraically.  A few days later, when we got to finding products of graphs, many got overwhelmed immediately.  I think next year, I will extend this concept into an additional lesson where we have some further investigation and discussion on finding operations on polynomials graphically.  Technology may provide some great scaffolding as well.  This would allow the students to investigate these operations with out having to worry about human error.

  Staircase of Complexity: Now That You Can Add It... Subtract It... And Then Multiply It.
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Operations with Polynomials Day 1 of 2

Unit 3: Polynomials
Lesson 3 of 15

Objective: Students will be able to add and subtract polynomials graphically and algebraically.

Big Idea: Students get the opportunity to explore and make conclusions about operations with polynomials using graphing technology.

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6 teachers like this lesson
Math, polynomial functions, Algebra, Algebra 2, master teacher project, operations with polynomials
  42 minutes
image operations with polynomial functions
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