`Problem Solving Using PercentagesThelma A. Rex                  Rosa L. Parks Middle School                               147th and Robey Avenue                               Harvey IL 60426                               708-371-9575Objectives: The student will be able to recognize the three basic types of Percentage Problems. The student will be able to:      1.  Find what percent one number is of another.      2.  Find a percentage of a number.                            3.  Find a number when the percent is known.                                Materials Needed:      1-16 oz bag of plain M&M's; 19-4oz bags of M&M's; 19 plastic bags;      1 black marker and 19 pencils; 19 student folders with plain writing         paper;       l9 M&M Math handouts and 19 calculators:  Overhead projector.           Strategy:      All of the students are given a folder with a small plastic bag and one small bag of plain M&M's.  The students are asked to guess how many M&M's are in the bag.  They are asked to put their M&M's into sets by color and write the number of M&M's they have in each set.  They are also asked to use > or < or =, to show the relationship between these sets.  Students put l5 M&M's in front of them.  Then they are asked various questions, for example, how many piles of fours can you make?  What is left?           The teacher demonstrates three types of word problems on the board to find percents by using ratio and proportion.  The overhead projector is used to illustrate the same problems, but in a different way. For example:                  a. The student is given the following information;                   1.  the number of red M&M's in the small bag.         2.  the total number of M&M's in the small bag.         3.  the total number of M&M's in the big bag.         The student is asked to find the number of red M&M's in the big bag.      b.  A bicycle is on sale with a coupon for 25% off which is a \$l5.00savings.  How much is the bicycle without the coupon?      c.  A set of stereo speakers is priced at \$125.00.  The sales taxis 8%.  What will be the total price of the speakers?      d.  In a photo, Carlos measures 8 centimeters.  He is actually 56inches tall.  In the photo his brother, Juan, measures 7 centimeters.  How tallis Juan?                                           Performance Assessment:      The students will be given a post-test.  The students will be able totell how many M&M's are in the big bag as compared to their small bag ofM&M's.  Students already know that there are 88 red M&M's in the big bagand that there are a total of 527 M&M's in the big bag.Multicultural Aspects:      Percent comes from the Latin phrase per centum, which may be translated by the hundred, to the hundred, for each hundred.  The symbolfor percent is %.  Thus, 85% means the ratio 85 to 100 or 85/100.  Percentis used for mathematical calculations throughout the world in everydayliving regardless of nationality. References:     Math and Science, A Solution. 1987, Aims Education Foundation.`