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## My NCCTM talk.

Click here to see a link to the Prezi of my NCCTM talk.  In this talk, I begin talking about the different ways to factor polynomials.  I tell the story of the Lizzy Method.  This method is named after a girl, who was 16, discovered a new way of factoring.  However, factoring seems to be a separate topic with little connection.  ParabolaX, a free App in iTunes, can help bring a connection to linear factors and quadratics.  After playing this game, one may see that linear  polynomials could be the base of teaching quadratics and other higher order polynomials.  Currently, students see a sections of adding, subtracting, and multiplying polynomials.  However, the polynomials included are quadratics, cubics, and higher degrees and students don’t even know what those graphs look like or how those polynomials are formed.  This means, possibly, students are getting exposed to math information with little connection.   Another way would be to move from linear, to quadratic, to cubic and so forth and each section you would go through the basic operations of adding, subtracting, and multiplication.  Also, in each section we would see the connection back to linear factors.

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1. October 25, 2012 at 9:23 pm

Saw your presentation today and really enjoyed it. I have worked with these types of functions for ever and never realized that the quadratic equation was the vertext plus minus the distance to the roots… Thanks for explaining the Lizzy Method and other stuff today!

• October 26, 2012 at 11:32 am

Mike, thanks for your comment. I am happy that I could give you a different perspective on the quadratic formula. Feel free to let me know if you have any other questions. Also, if you try out any of the products, like the app ParabolaX or Desmos.com, or if you have students guess the linear equations that make up the quadratic then let me know it goes.

1. January 17, 2013 at 5:03 am