Math Technique in Multiplication and Division of Fractions

Garth, Frieda                Farragut Career Academy
                             762-2421                     
                           

Instructional Objectives:

      1. To multiply fractions by whole numbers and fractions.
      2. To divide fractions by whole numbers and fractions.

Review Objective:

         To review unit concepts and skills.

Apparatus Needed:

      2-Poster Boards (size 22" x 28") divided in three parts: center 
      square (8"x 8"); second section (9" x 7 1/2") from center point 
      of the poster; third section (out side spaces) (5 x 3 1/2") from 
      second section. Center square is used for placing different 
      numbers as the whole number or mixed fractions. The second 
      sections are used for fractions. The third sections (outside 
      spaces) are used for one or two answers. Black marker, ruler, 
      magnetic tape and nine (9) squares (8"x8") with numbers from 
      2, 3, etc. The fractions were placed in the second section with a 
      black marker before laminating, which was done at the Bd. of Ed., 
      3th floor west. 
      
Recommended Strategy:

      This mini teach is directed toward learning disabled students, 
      but this is a problem common to all students. To understand the 
      basic concepts of fractions, demonstrate step-by-step procedures 
      to be used in this lesson.  Teacher will use center square of 
      the posterboard, placing a whole number in the center. Fractions 
      are on the second section of posterboard and the third section 
      of the posterboard will be used to compute student answers.  
       Example 8 x 3/4 = 6; 8 x 1/6 = 1 1/3. Posterboards will be 
       attached to blackboard with magnetic tape. These steps 
       (multiplication or division) may be repeated more than once, 
       because there are eight fractions on each board and a different 
       whole number can be used as often as needed. Students will note 
       that their answers can be found simply by multiplying whole 
       number by numerator, then divide by the denominator to get the 
       product. Teacher will introduce concept of dividing fractions 
       with second posterboard in the same method, step-by step 
       procedures in dividing fractions. Give the numerators and 
       denominators colors, like red for numerators and green for the 
       denominators. Students can see the interchanging of numerator 
       and denominator, which is called the reciprocal of the 
       fraction. Example, the reciprocal of 3/4 is 4/3. Have the 
       students complete the exercises, this can be used to provide 
       stimulation and practice.
      This step may be repeated more than once, because there are eight 
      fractions on each board and use a different whole number, if you 
      so desire. Have the student to note that answers could be found 
      simply by multiplying whole number by numerator, then dividing by 
      the denominator to get the product.