Tag Archives: kinesthetic

Factoring Puzzle – Practice Version

The Overview:

I wrote about a factoring puzzle I found online here.  That puzzle is difficult because it has trinomials with a leading coefficients other than 1, as well as special products.  I wanted to create a puzzle that would be a simple review on factoring trinomials where the leading coefficient is always 1, or could be 1 if the GCF is factored out first.  Thus when they eventually challenge the more difficult puzzle, their questions will be focused on factoring, rather that “I don’t get what to do?”.

I did not create a scrambled version, so obviously you will need have a TA cut out the pieces and put them into envelopes.

FactorPuzzlePractice

FactorPuzzleChallenge

The Goods:

FactorPuzzlePractice

FactorPuzzleChallenge

Update 1:

Thanks to a great comment from John, I have created one that does not have a border, thus allowing us to differentiate for the excelling students.  That puzzle is now included above in the original post.  The puzzle without the border is the exact same on the inside as the puzzle with the border, I will eventually make that different too when I get some time.

Factoring Puzzle

The Description:

The original puzzle can be found here.

The only thing I changed was that I added a border around the outside of the puzzle.

The puzzle above is in the correct order.  Obviously if you are going to have students cut out the pieces, then you have to scramble the order.  I have already done that, and both versions are in The Goods.  Here is what the scrambled version looks like:

I think the puzzle is too difficult if there is no border.  This is because the students might factor an expression, and then not find the answer in the puzzle.  The problem is that this might lead them to believe they have factored it incorrectly.  I believe putting the border around the outside shortens the activity to a better length, and makes for a better overall experience.

The Advice:

– I recommend using having your T.A. cutout the puzzle pieces from the finished puzzle, and then putting the pieces into separate envelops.  I used the scrambled version of the puzzle and had the students cutout the pieces, and I think too much time was wasted cutting out paper, rather that solving the puzzle.

– I recommend first having all the students find the puzzle piece that has the expressions x^2+5x-6 (it’s the top right piece).  Have them glue it on the top right corner of the answer document (under the heading “My Factoring Puzzle’).  Then have them factor it on the answer document (or separate sheet), and you do that problem on the board.  Next have them search for the answer piece (x+6)(x-1) and glue that piece in the proper place.  I would be doing this along with them on the document camera.  Then do another problem  off of one of the pieces they have glued down, so that when you finallly let them work alone, they already have three pieces glued to their paper.

– The above piece of advice is key, because I originally just told them what to do and let them do it, and I got a lot of students saying “I don’t know what to do”.

The Goods:

FactoringPuzzleWithBorder

Macro-Differentiation

These are a listing of hastags that I use to catagorize my lessons plans.  Each catagory represents a different style lesson plan.  My instructional goal is typically to make sure that I use each hashtag at least once a month.  The goal of this blog is to share all the lesson plans that I use under each hashtag.

My detailed lesson plans are my Keynote slides.  But along with those, I make a quick, calendar-style overview to me a general idea of what I am doing.  It’s on this calender where I place the hashtags at the bottom of each day.  This allows me  to quickly look back at what I have been doing, and know whether of not I am differentiating.  For example, here is two weeks worth of my lesson plans in geometry.  Notice that I can quickly see whether or not I have differentiated my instruction, without having to analyze each specific lesson plan.  The hashtags allow me to get a quick sense of what I have been doing, and what I have not been doing.

 

*Notes –

-The term “perplexity” is being used as described by Dan Meyer here