# Proportional Reasoning Worksheet

This Proportional Reasoning Worksheet can be used to begin a sentence and calculate the percentage of that sentence that must be filled out. We always like to hear that little factoid on our receipts, bills, or tax forms. With the proper placement of this worksheet, a quarter is always going to read “full price.”

A little history lesson for the little history buff: when the monarch ruled England, the student need not complete the sentence, but could simply note, “royalty,” without actually saying, “royalty.” Now, the king of England had to dole out royalty. And in order to accomplish this task, he would divide the English populace into three classes – nobility, clergy, and commoners.

Now you know the premise. Okay, here is how to fill in the word, “royalty.” Write the first word (O) followed by the second word (A), and then finish with the third word (L). You may find it helpful to follow this exact same rule for the second and third words in the last sentence. Let’s say, for example, the word “potato” is written in italics, so you could mark it as O-A-L-P-A.

“We can guarantee our potato-throwing students better hand-eye coordination than any other activity they may engage in.” That would make it so the student in question will have to write out “we can guarantee our potato-throwing students better hand-eye coordination than any other activity they may engage in.” They could also just mark that as O-A-L-P-A for easy reference.

I know it might seem confusing when you are attempting to figure out the percentage, but the logic behind each step is very straightforward. If you are dealing with a specific word, such as the word “potato,” then you are merely working with that word. If you are dealing with the plural form of the word, “potatoes,” then you are simply dealing with that word and not the actual words or phrases within it.

When it’s time to calculate the percentages, make sure to look at all three forms of the word. You may find that the second form may appear easier to remember, or that the third form is easier to handle as well. Once you have done all the calculations, then you can quickly determine the percentage to work with.

As a final note, it is always helpful to break your formula down into its constituent parts. This way, you will be able to determine which numbers should be treated as fractions. For example, if you were working with “ten percent,” you would simply divide it by seven, or something of the sort. That is what we call modularity.

So, once you have learned about that worksheet, you will have a good start at understanding how to use it. To see if you are getting the hang of it, you can always double up on the following formula: