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Quick Times

I am always looking for different strategies when working with my remedial college students since many of the ways they were taught to do math aren't working for them.  I came across this "Quick Times" method and thought it would be another approach I could share with my mathphobics for multiplying.  They love anything that is different, quick and makes them look astute when doing mathematics.

Let's assume we have the multiplication problem of 41 x 12.  In the Quick Times method, first start by multiplying the first digit of 41 by the first digit of 12 to get the first digit of our answer.  We then multiply the second digit of 41 by the second digit of 12 as seen below to get the last digit of our answer (the ones place).

Now we need to find the middle digit of the product.  This is done by multiplying the outside digits, then the inside digits, and adding those two products together as shown below.

This quick method will only work when multiplying two digit numbers by two digit numbers, but it does cause the students to do mental math.  My students like the challenge of doing all of the computation in their heads.  Let's try another one that is a little different.  Let's do 63 x 41.  Again we multiply the first digit of each number and then the second digit of each number to get the first digits of the answer and the last digit of the answer.

 
As before, multiply the outside digits, then the inside digits, and add the two products together.
Now we must put the 18 into the middle spot, but there is only room for one digit in the tens place.  YIKES!!  What do we do now?  Very easy....because we can only have one digit where the question mark is, we must regroup (carry) the one in the tens place of the 18 and then add it to the 24.
 
Have you figured out the final answer?  It is.....
 
You are probably thinking the old method works so much better, but that is only because that is the method you are use to using.  Why not try the ones below using the Quick Times method and see if you get the correct answer.  Use the old method or a calculator to check your answers or go the the answer page above.
 
a)  36 x 21       b)  24 x  12      c)  48 x 29       d)  59 x 18       e)  63 x 13     
 
 


A Fraction for All Seasons



Do you need something besides a “drill and kill” activity to practice fractions and/or percents?  Math for All Seasons is my newest bundled resource.  It is a 33 page resource that is a fun and engaging way to utilize math concepts while keeping the students actively involved.  Specific words are provided. The students are instructed to figure out the correct fractional part of each particular word.  (Example: The first ½ of WENT would be WE.  Notice that WE is also 2/4 or 50% of WENT.)  If each fractional part is correctly identified, when the students write the fractional parts on the lines provided, a new word is created.  Each group of new words becomes a riddle or the answer to a riddle. 

A Fraction for All Seasons
It is important that students understand that a fraction and a percent represent the same thing; so, in the Snow Riddles handout, (page 13) 25%, 50%, 75% and 100% are introduced.

 In March Riddles, (page 24) specific questions are asked to acquaint the students with fun facts about the month of March.  April Riddles (page 29) introduces the students to several interesting historical facts that occurred during this month.

For each month, there are between 7-11 word fraction riddles; so, there are numerous ways to practice recognizing fractional parts, understanding equivalent fractions, identifying basic percents (25%, 50%, 75% 100%), and reducing fractions to lowest terms.  

Instead of completing all of the monthly riddles in one day, the puzzles may be divided up and used as a focus activity, when a student finishes early, or when there is a short amount of time left before the next class or activity. An individual puzzle may be given each day, or the riddles can be interspersed throughout the week or month.  Answers are included at the end of each month’s activities.  The complete resource features six months (January, February, March, April, October, December) and contains a total of 49 fraction riddles.

If you prefer, each month of fraction riddles may be purchased separately; however, this resource bundles all six months for a discounted price.  Just click the title under the cover page shown above, and download the preview to take a quick look at this new item.