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math fun to learn and easy to teach for grades
1 through 9. |
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Fraction
Lesson Plan for Equivalent Fractions using BarCulator
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Click
here to view
demo for Equivalent Fractions using BarCulator |
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| Kaidy
manipulative - BarCulator |
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| Objective: |
The
students use BarCulators
to discover the rule for re-naming
equivalent fractions. |
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| Directions: |
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1. |
To
begin the lesson, ask if any students in the
class are the same height. Have those who
volunteer stand back-to-back to find two or
more of the class members who are exactly
the same height. Explain that these
students have equivalent heights.
The focus of this lesson will be equivalent
fractions - and using the BarCulator,
we will be finding fractions with
equivalent heights. |
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2. |
The
students are asked to sort the BarCulator
pieces into piles of like
colored pieces (i.e. all 1/24 pieces in a
pile, all 1/12 pieces in a pile, etc.) |
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3. |
Have
students set up one BarCulator with a
½ piece placed firmly into the base of the BarCulator.
The bar/edge provides a stop point for the
pieces that allows for easier manipulation.
The two BarCulators are lined up
side-by-side. |
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4. |
Using
the sorted piles one at a time, find how
many 1/4 pieces would fit into the other BarCulator
that would make the exact same height. The
students must place the 1/4 pieces firmly
into the base of the BarCulator and
stack as many as possible to reach the exact
same height as 1/2. |
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5. |
Now
using the 1/3 pieces - and having the Barculators
side-by-side, ask the students how many
1/3 pieces would make exactly 1/2. |
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(The
students will discover that there is no
match using 1/3 pieces.) |
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6. |
Continue
finding how many pieces are needed to reach
the exact height of the 1/2 piece using 1/6
pieces, then 1/8 pieces, then 1/12 and 1/24
pieces. After each, record the number of
pieces required to have the exact height as
the height of 1/2. After each pile is used,
be sure to write the numbers on the board or
overhead so that all are recorded: |
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1/2
= 2/4 = 3/6 = 4/8 = 6/12 = 12/24
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(such
as demonstrated on Attachment
1)
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| The
students then name all the patterns they see and
create a rule for finding all fractions equivalent to
1/2. |
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| Ask students
if there were 26 pieces, how many would be needed to
be equivalent to 1/2, etc. |
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| The lesson
can continue using the two BarCulators
side-by-side and two of the one-thirds pieces
together. This time looking for any combination that
is the same height as 2/3's. Each time use the 1/4 pile
of pieces, then 1/6 pieces, 1/8 pieces, 1/12 pieces,
and 1/24 pieces. |
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| The bright
colors, clear labeling and stopping edge offer
different types of learners visual and tactile
materials to help ensure understanding of equivalent
fractions. |
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| Extension:
Use "Fraction Fun" pages 8, 9, and 10 |
| Click
here
to view page 8 |
| Click
here
to view page 9 |
| Click
here
to view page 10 |
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Click
here
for the List of Additional
Lessons that could use BarCulator and PieCulator
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©2001
Kaidy Educational Resources
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