Reflection: Connection to Prior Knowledge Intercepts of Polynomial Functions - Section 3: Section 3: Finding Intercepts of Polynomial Functions


´╗┐Student should be familiar with finding x- and y-intercepts from previous things topics studied earlier this year and in prior courses.  That doesn’t always mean that they do remember however.  My students ended up needing a conceptual reminder of the fact that the y-intercept must have an x-value of 0.  From here, I wandered around and provided a bit of guidance to those students who needed it.  I would ask them questions like, “If I know that x-value of a coordinate is zero, how do I find the y-value?”  This seemed to help.  We did the same thing on a factored polynomial function.  At this point, I stopped them and asked if there was any way we could find the intercept without substituting in zero.  I would say two thirds figured out shortcuts.  The standard form is easy as it’s the constant which is obvious but the factored form was a bit more challenging to recognize.  After we discussed, they wrote a summary in their Notes.  

  Connection to Prior Knowledge: Taking An Old Skill and Making It New
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Intercepts of Polynomial Functions

Unit 6: Polynomial Functions
Lesson 7 of 15

Objective: Students will be able to use key features of a polynomial graph to write the polynomial function.

Big Idea: The relationship between graphical and algebraic representations of polynomial functions, it all comes down to the roots!

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Math, polynomial functions, intercepts, Algebra 2, master teacher project
  51 minutes
image intercepts of polynomial functions
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