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 one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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One thought on “Writing Quadratic Equations Card Sort”

  1. John Golden says:

    I like the partial equations. I wonder if some of the contexts could be missing a little info, too. Were the units on the answers needed, just right or too much of a clue?

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