Area as a Model of Binomial Multiplication
Week Two Learning Team Activity
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Write a report in your own words that describes the activity and your results. Use APA format.
Any help will be greatly acknowledge as to I am not good at diagraming.
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Week Two Learning Team Activity
Area as a Model of Binomial Multiplication
Drawings and diagrams are often used to illustrate mathematical ideas. In this activity we use areas of rectangles to illustrate multiplication of binomials.
Example. The product 1513 is the area of a 15 by 13 rectangle. Rewrite the product as (10+5)(10+3) and make the following drawing.
10 3
Area
10 100 30
5 50 15
Note that the areas of the four regions are the four parts of FOIL.
Exercises
1. Make a drawing to illustrate the product 1213 as the product of two binomials (10+2)(10+3). Have each square of your graph represent one unit. Find the total of the areas of the four regions that correspond to FOIL, then compare with finding 1213 the 'usual' way. Check your ...
Solution Summary
The expert determines the area as a model of binomial multiplication.