Posts tagged quadratic equations

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Writing Quadratic Equations Card Sort

While working with having learners write quadratic equations, I found they were having difficulty even getting to the equation. One of the things that surprised me the most was how much difficulty learners had in translating what I would consider basic phrases (find two consecutive integers when the smaller number squared increased by three times the larger number is 47, for example). I put together a card sort with various types of situations that would result in setting up a quadratic equation and then learners would have find the correct equation and then solve the equation. None of these problems are looking for a maximum or minimum (i.e. the vertex). I realize that many of these problems may be considered pseudo-context, but they were what I could find to get close to what I thought the standards were looking for. This card sort was designed to work with the following Common Core State Standards: A.CED.1 Create equations and inequalities in […]

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Making Connections

A couple of tweets in the last week resonated with me as we are wrapping up the year. Julie Reulbach shared The difference between memorization and understanding is that students quickly forget things they memorized. How can I help them see that? — Julie (@jreulbach) May 29, 2015 As we are preparing for final exams, I see a lot of this. Today, we were working on reviewing solving systems of linear equations and many of them had forgotten how to graph lines. And as I was walking around, helping students, it dawned on me why. You see, my students have just come off a section on solving quadratic equations. To be honest, it was a little rushed due to time constraints, but not as rushed as last year. Prior to solving quadratic equations by taking square roots, or completing the square, or the quadratic formula, we had spent quite a bit of time on graphing quadratic equations (here is a […]

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