Math Dictionary Sections: (12) Circles
Upcoming Assessments: Area, Perimeter, & Circumference Quiz (Mon. 12/6/10); WWU Quiz 4 (TBA)
We began the week by finishing the Build-A-City Project. Grades for this are pending, but there are several students who still need to turn it in for credit. On Tuesday, we began our unit on Circles which included a Smarties® activity that allowed us to see the relationship between the radius and diameter of a circle (d=2r), the relationship between the circumference and the diameter (Pi π ≈ 3.14), and how the formulas give a more precise answer when finding circumference (C=2πr) and area (A=πr2). Students also watched a short video clip that illustrated how math, particularly circle math, is used in cake decorating. We discussed various situations, both from the "real world" and from word problems, that would require solving circle problems and which words tell us whether we are doing circumference (ex. distance around, revolution, etc) or area (ex. space, cover, etc.). Students also worked on Frosty's Area Adventure for a review, which many enjoyed decorating after completing.
Some students are still struggling with using formulas and where to "plug in" each number, so analogies were given to help understand why just any number cannot be substituted for any given variable in a formula (i.e. the diameter cannot be used when the formula requires the radius) and why just any formula cannot be used for any given shape (i.e. the formula for a rectangle cannot be used for circles). For instance, you would not substitute a quarterback for a linebacker, mascara for lipstick, or chicken for chocolate. Because of the difficulties some students are still having, the quiz was pushed to next week and I worked one-on-one with students to make sure they knew how to use formulas.
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