In this video, you will learn how to view one or more parts of an expression as a single entity, by using the associative property to analyze the formula.

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Presentation transcript:

In this video, you will learn how to view one or more parts of an expression as a single entity, by using the associative property to analyze the formula for a rectangle’s perimeter.

perimeter – measurement of the distance around the outside of a polygon or a circle example: 4 x 5 = 2 x 10

rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides

Rectangle Perimeter Formula, #1 l l w w

l l w w p = l + l + w + w

The Associative Property When three or more values are added, the sum is the same regardless of the grouping of the values

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #2 l l w w p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w

Rectangle Perimeter Formula, #3 p = l + l + w + w p = (l + l) + (w + w) p = 2l + 2w l ww l

The Associative Property When three or more values are added, the sum is the same regardless of the grouping of the values

Rectangle Perimeter Formula, #3 p = l + l + w + w p = (l + w) + (l + w) p = (l + l) + (w + w) p = 2l + 2w l ww l

Rectangle Perimeter Formula, #3 p = l + l + w + w p = (l + w) + (l + w) p = 2(l + w) p = (l + l) + (w + w) p = 2l + 2w l ww l

Rectangle Perimeter Formula, #3 p = l + l + w + w p = (l + w) + (l + w) p = 2(l + w) p = (l + l) + (w + w) p = 2l + 2w l ww l

Rectangle Perimeter Formula, #3 p = l + l + w + w p = (l + w) + (l + w) p = 2(l + w) p = (l + l) + (w + w) p = 2l + 2w l ww l

Rectangle Perimeter Formula, #3 p = l + l + w + w p = (l + w) + (l + w) p = 2(l + w) p = (l + l) + (w + w) p = 2l + 2w l ww l

Synopsis p = l + l + w + w p = 2l + 2w p = 2(l + w)

In this video, you learned how to view one or more parts of an expression as a single entity, by using the associative property to analyze the formula for a rectangle’s perimeter.