Adding As Well As Subtracting Polynomials Activity

Happy Monday, everyone!



One of our objectives inwards Algebra 1 is that students volition hold out able to add together as well as subtract polynomials.  My students are ordinarily pretty expert most remembering to distribute the negative when the 2d polynomial is written inwards parentheses amongst a subtraction sign inwards front.  The dry reason of Oklahoma doesn't ever write the questions inwards this format, though.  Influenza A virus subtype H5N1 favorite format of theirs is to give 2 polynomials as well as inquire for the amount or difference.  If the work asks for a difference, students must realize on their ain that they demand to alter the signs of the price of the 2d polynomial earlier combining similar terms.

Sample Question Type from Algebra 1 EOI

I reviewed distributing a negative through a ready of parentheses amongst my students every bit bellwork.  Then, I gave each twosome of students a deck of cards I had created as well as a penny to copy this specific interrogation type.   


I printed all of the x squared price on ane color of paper, all of the x price on roughly other color, as well as all of the constants on a 3rd color of paper.  Then, I laminated them as well as cutting out the pieces.

Each twosome got a handbag of pieces as well as a penny.  The students' showtime chore was to kind the cards, face-down, into 3 piles yesteryear color.  To begin, they would plow over ane carte du jour of each color to shape the showtime polynomial.  Then, they would plow over roughly other ready of cards to shape the 2d polynomial.  Finally, students would flip the penny to attain upwardly one's heed if they were finding the amount or divergence of the 2 polynomials.  Heads meant sum.  Tails meant difference.

After creating their problem, both students would solve the work independently on their whiteboard.  When both students were finished, they were supposed to compare their answers.  If the answers agreed, students would move the cards to attain a novel problem.  If in that location was a disagreement, I would come upwardly over to aid the students.

What I Loved
* Students got lots of practice.  No worksheet involved.  We did the showtime solar daytime dorsum from Christmas break, as well as thence I wanted an activity that would aid them transition from intermission trend to schoolhouse mode. 
* The stride of the activity was directly differentiated.  My advanced students worked through a expert release of problems.  My particular teaching students were able to piece of work at their ain stride without having to worry most how many they had finished.  Instead, they could actually focus on understanding the process.
* The randomness of what cards were dealt as well as the effect of the money flip led to roughly keen conversations amongst students.  For example, I would likely never inquire students to honor the amount of 2 polynomials that summed to zero.  It happened to a grouping of my students, though.  As a result, nosotros got to hash out what happened when all of the price cancelled out.  

What I Didn't Love
* Influenza A virus subtype H5N1 few of my upper-level students shortly grew bored of the activity.
* Some of my groups seemed to bring all of the luck as well as flipped heads each time.  I'm pretty certain a few of these groups had to a greater extent than than luck on their side. 
* And, the activity was non self-checking.  

I did non come upwardly up amongst the thought behind this activity myself.  Actually, I combined aspects of several other activities to attain my own.  Pam Wilson did a version of this activity using wooden blocks as well as a penny.  I didn't bring whatever wooden blocks, as well as I was planning this at the concluding moment.  So, I replaced the blocks amongst cards similar to this activity from Joy inwards 6th.

Cards tin hold out downloaded here!

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