Percentages Can Often Be a Term Paper

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The next part may be tricky for some students. Ask them, "If you had twice as many M&Ms on your desk, but the same ratio of red to blue, how many blue M&Ms would you have?" Allow them to take out as many more M&Ms as they need to solve the problem. Now the students can be shown that this can be expressed as a proportion, and can be solved using cross-multiplication: 4/5 = x/10. It is essential to show the students that no matter which individual number is unknown, cross-multiplication can be used to solve it.

Finally, return to the original 4/4 ratio of M&Ms. Ask the students what percent of the M&Ms are red, but give them the aforementioned definition of a percent, and write the following on the board: 4/4 = x/100.

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Show them how to work the cross-multiplication, and then write "percent" after your answer. Tell them this x/100 figure can be used to solve virtually any percentage problem they will come across. Next, prove this is the case by brining out the blue M&M again: 4/5 = x/100. x = 80-percent. The students should also be shown that the same magical result can be arrived at using twice as many M&Ms......

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