`Putting the Pieces Together (Making a Fractional Quilt)Demetria E. McKnight           Bateman Elementary School                               4220 N. Richmond                               Chicago IL 60618                               (312) 534-5055Objectives:*  Demonstrate a phenomenological approach to teaching fractions.*  This lesson is designed to motivate students to develop a sense of    equivalent fractions.*  To explore addition of fractions with unlike denominators. *  Students will be able to divide a whole number into specified equal parts.         Materials Needed:(1)  1 large cardboard backing that will accommodate approx. (20) 9"x12"     poster boards or felt(2)  20 multicolor 9"x12" poster boards or multicolor felt(3)  glue or needles and thread (depending if you are gluing or sewing     your quilt)(4)  scissors(5)  sturdy backing for each 9"x12" poster board(6)  paper clips/straight pens (optional)(7)  (20)  3.5" blocks of paper (small swatches)Strategy:Students are given small paper swatches with a designated number on the back.Each student is required to cut their 9"x12" poster board into blocks or horizontal equal fractional pieces that will represent the number on their swatch, i.e., if the number is 6, the students will cut their 9"x12" poster board into 6 equal parts.  The paper must be positioned, so that the cut is held in the 9 inch position.  Label each piece 1/6.Challenge students to use their rulers or any measureable tool to cut their strips or blocks into equal amount of pieces, that represents the number on their swatch.  Forbid folding the paper.  Encourage students to cut their paper into blocks and/or strips.Group students according to the number on the back of their small swatch.  Recommended grouping:  |   2  |  3  |  4  | 5  |  6  |                       |   4  |  6  |  8  | 10 |  12 |                       |   8  |  9  | 12  | 15 |  18 |                       |  10  | 12  | 16  | 20 |  24 |Assemble students into groups of 4's.  Students will compile their pieces into one pile.  Students will take turns picking pieces from the pile. Students will combine their fractional pieces, adding their fractions, and making sure that when all of their pieces are in place, their 9"x12" replica will equal one whole.  For example, if a student select the following pieces; 1/4, 1/16, 1/16, 1/16, 1/16, 1/16, 1/8, 1/8  add.     1     10    --- = ----     4     40     5     20    --- = ----     10    40     2     10    --- = ----     8     40   --------------           40          ---- = 1           40Each group will make up to four different configurations (patterns).  Students will paste their design on a sturdy 9"x12" poster board, for the backing.  If felt is used, allow students to sew the pieces together, or have them glue the pieces on the 9"x12" sturdy poster board.  Collect all finished quilt pieces.  Place each 9"x12" on large canvas or whatever you are using to display your quilt.  Remember you will need a canvas that will accommodate approximately (20) 9"x12" poster boards. `