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 Printable Version
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Cindy Heinz
T267 Lesson Plan
October 28, 1996
Topic: Multiplication of fractions
Grade Level: 5th grade
Objectives:
Students will able to:
l) solve simple multiplication fraction problems
using manipulatives.
2) verbalize that when multiplying fractions less
than one the result will be less than the factors.
Materials: Overhead projector
large overhead geoboard for demonstration overhead transparency
of worksheet problems (Exploring multiplication of fractions)
Overhead transparency of geoboard recording paper
( Reys pg.
357.)
For each group of two students: colored pencils or
markers of two different colors ruler
geoboard recording paper (Reys pg. 357) - attached
geoboard and rubber bands
for each student:
Worksheet - Exploring Multiplication of Fractions
(attached)
Lesson:
A) Anticipatory set (10
minutes)
Students will work in pairs to solve this problem.
One student will
manipulate the geoboard and the other will draw the
results on the
geoboard recording paper.
Problem: Mr. McGregor has a garden that is a rectangle
3 units by 2
units. He wants to plant flowers on half of the garden
Show how
he would divide his garden on the geoboard. Then
draw it on the
paper and shade in the part that would be flowers
with one of the
colors. Ask the students:
How much of the garden will be flowers? How much
is 1/2 of a whole?
Is the result more or less than the whole? Demonstrate
the above on the overhead geoboard and geoboard paper transparency.
B) Concept Development (30
minutes)
Continue to work in pairs. Switch tasks.
1.) Now Mr. McGregor decides that 1/3
of the flowers in the garden should
be daisies. Show what part of the total garden will
be daisies on your
geoboard and draw it on the geoboard paper. Color
the part of the garden
that will be daisies another color. Ask the students:
How much of the entire garden do the daisies cover?
How much is 1/3
of 1/2?
Is the result greater than or less than our two factors
1/3 and
1/2?
Demonstrate the above on the overhead geoboard and
geoboard paper
transparency.
2.) Have the students solve the following problem:
Suppose you get 1/2 of a rectangular cake of any size. You eat
3/4 of
that half. Predict whether the amount that you eat of the entire
cake will be greater than or less than our factors of 1/2 and
3/4. Make
a drawing to show what part of the whole cake you ate. Ask the
students:
How much of the cake did you eat?
How much is 3/4
of 1/2?
Is the answer larger or smaller than our factors
of 1/2 and 3/4?
Demonstrate the above on the overhead geoboard and
the geoboard paper transparency.
C) Practice (30 minutes)
Have students work individually on the problem worksheet Exploring
Multiplication of Fractions. They may use the geoboards first
if they wish.
D) Closure (20
minutes) Discuss what the students found on the worksheet. Ask
students to come up and demonstrate how he/she solved each problem
on the overhead projector using the Exploring Multiplication of
Fractions transparency.
Evaluation:
Observe students as they work with geoboards, geoboard
recording paper,
and worksheets. Collect and evaluate each student's
worksheet.
Bibliography:
*Cramer, K. & Bezuk, N. (1991). Multiplication
of fractions: Teaching for
understanding. Arithmetic Teacher. 39, 34 - 37.
*Ginsburg, H.P. et al. (1992.) Mathematics - 5th
grade edition. Silver Burdett & Ginn, Morristown, NJ,
352 - 355.
Ott, J.M. (1990). A unified approach to multiplying
fractions. Arith metic Teacher. 37, 47 - 49.
*Sinicrope, R. & Mick, H.W. (1992.) Multiplication
of fractions through paper folding. Arithmetic Teacher. 40, 116 - 121.
Sweetland, R.D. (1984.) Understanding multiplication
of fractions. Arithmetic Teacher. 32, 48 - 52.
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