Which Expression Is Equivalent To This Polynomial Expression

Student Directions:

Directions: There are 24 cards. Your objective is to match each of the cards with its equivalent expression below. Each of the twelve expressions will match with two different cards. When you find the ones that match, write the letter in the box next to the polynomial. There will be no cards left over, and all will match perfectly.

To the Teacher:

I wrote this set of matching exercises for our algebra one students because it seems that some of the next generation testing is going not just to “which one is equivalent” but “which are equivalent, select all that apply”. Also, the idea of having an expression in simplified or standard form is not as vital as it was when I was in school. Now we want our students to be able to traverse through the forms.

Photocopy the middle two pages (24 cards) onto brightly colored paper and then cut them up. (Alternatively, have your first class cut them apart – you be the judge about scissor distribution!) Make as many sets as you need (i.e. a class of 30 will need at least 15 sets). Binder clip them together or put them in a clear zip-lock bag. Make enough copies of the first page so that each pair of your algebra students has a copy (i.e. if you have four algebra classes and each class has 26 students, make 52 copies of the first page). Do the exercise for yourself first to decide where you want to do it in your curriculum. I will do it as an activity after we do operations with polynomials but before we learn how to factor.

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I would have my students work this exercise in randomized pairs by pulling names from a hat (for more detail on how I usually do this I wrote a blog post on it : https://virgecornelius.com/2016/10/09/matching-activities/ ). The answers can be either in the order they are “I V” for number 1, e.g., or in reverse order “V I”. This may seem obvious, but I get some strange questions sometimes. Also, for differentiated instruction you can pull all of the “x and y” cards and have them only do the “x” cards.

Let me know how this activity this works for you and your students.

– Virge Cornelius August 2017 Blog: virgecornelius.com

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