Frayer Model and Personal Choice Assessment for Division

Recently our class has been studying division.  Once again I have been amazed at how many different personal strategies these students already have. Their repertoire of division methods is quite extensive. 

Methods range from arrays and models to symbols.  Some noted methods my students are using include: arrays, related multiplication fact strategies, skip counting, base ten  models, halving strategy,  divsion using subtraction, number lines, sharing strageties, guess and test strategies, and even long division.

I decided to assess the students using an adjusted Frayer Model.  Some student sample are shown below.


The second part of the assessment gave students the choice of 3 sets of diagrams and numbers.  Students were to come up with division problems that satisfied both the picture and the number that accompanied the picture. Some student samples are shown below.


I find that my students are still working on learning how to communicate their math thinking via the pencil, but there has been much improvemnt in this area throughout the school year.  We will continue to work on learning to express our mathematical learning through writing in the upcoming weeks.


Copyright for students’ work remains with the authors.



About musingsofamathteacher

I am presently employed at New Sarepta Elementary School as a grade five teacher. During my career I have taught Grades 12 - 2. The past three years I was fortunate to work part-time as Math Lead for my school district, Black Gold Regional Schools, and have just recently accepted a part-time secondment with Edmonton Regional Learning Consortium. I have always had a passion for mathematics and am excited about implementing Alberta's "new" mathematics curriculum.
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