Monday, March 2, 2015

First Formulas!

Last week, students learned their first mathematical formula!


Though adding all the sides is still an effective strategy ("gets the job done") for finding a figure's perimeter, when finding the perimeter of a rectangle, it's much more efficient (faster, involves fewer steps) to use a formula, which we learned is an equation that can always be used to find the answer efficiently in a certain situation.

When finding the perimeter of a rectangle, most students prefer using the formula P = 2l + 2w, but we discovered that P = 2 x (l+w) also works and discussed why it does.

Today students learned another formula that can be used to find a rectangle's area.  Most students made a connection to working with arrays when learning multiplication last year in third grade.  The rectangle's length and width are the factors; the area (how many squares cover the inside) is the product (total) of the array.  We can efficiently use the formula Area = length x width, or A = l x w,  to find the area of rectangles!

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