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
Loading resource...
 

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!

  Print Lesson
Add this lesson to your favorites
Subject(s):
Math, polynomial functions, intercepts, Algebra 2, master teacher project
  51 minutes
image intercepts of polynomial functions
 
1
2
3
4
5
6
Similar Lessons
 
The Factor Theorem & Synthetic Substitution
Algebra II » Cubic Functions
Big Idea: Synthetic substitution is an excellent tool that can be used strategically to help factor polynomials and identify zeros.
  Favorites(3)
  Resources(19)
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
 
Sketching Graphs of Polynomial Functions
12th Grade Math » Polynomial and Rational Functions
Big Idea: Build upon existing knowledge of second and third degree functions to sketch graphs of other polynomial functions.
  Favorites(2)
  Resources(13)
Troy, MI
Environment: Suburban
Tim  Marley
 
Choosing a Method to Find x-intercepts
Algebra I » Quadratics!
Big Idea: Students take a step back from their work to examine a variety of quadratic functions and reflect on why they might choose one method over another.
  Favorites(3)
  Resources(12)
Boston, MA
Environment: Urban
Amanda Hathaway
 
Something went wrong. See details for more info
Nothing to upload
details
close