Per Class:
Overhead
Fraction transparencies
Miniature candy bar
Regular size candy bar
Per Student:
(2) 8-inch blue squares
of construction paper
(1) 8-inch white square
of construction paper
(1) 8-inch black square
of construction paper
geo board
geo bands
markers
scissors
strips of blue, brown,
yellow, red, and green construction paper 2 x 12 inches
1. Prepare student materials
2. Set video CUE to when Ms. Ericson says, “So,
kids, are you ready to get started?”
3. When using media, provide students with a FOCUS
FOR MEDIA INTERACTION, a specific task to
complete and/or information to identify during or after
viewing of video segments, Web sites or other multimedia
elements.
4. Bookmark Web site http://www.superkids.com/aweb/tools/math/
Ask the students if they would rather have 1/2 or their favorite candy
bar or 1/4 of their favorite candy bar? Allow students to respond and
tell why they chose the answer they gave. After several students have
given responses, take out 2 candy bars. The candy bars should be the
same kind but different sizes. For example you could use a fun size
Snickers and a regular size Snickers. Now ask, “Would some of
you like to change your answer?” Give students time to respond.
1. Today we are going to focus on the fractions: 1/2,
1/4, 1/8, 1/16. To begin this lesson we are going to watch
several segments of the video Number in My World. In this video
we are going to be introduced to Ms. Ericson, the studio instructor.
Ms. Ericson will be working with students, allowing them to
investigate the meaning of various fractions. Ms. Ericson will
ask her studio students to discuss or maybe to illustrate a
particular fraction. You have all the materials you need in
order to work along with Ms. Ericscon and the studio students.
Before we begin make sure each of you has (2) 8-inch square
sheets of paper, a geo board and geo bands.
2. Tell the students they are going to watch a video
about fractions. Provide them with a FOCUS FOR MEDIA INTERACTION by
asking: “Can you show the fraction 1/2 in more than one
way?” PLAY the video: Number in My World Program
1: Representing Fractions. START the tape when Ms Ericson
waves to the camera and says, “Hi, so kids are you ready
to get started?” PAUSE after the paper has been
folded into halves and Ms. Ericson says, “So we created
halves by folding paper.”
3. Tell the students to use their geo boards to show
halves. Give the students about 20-30 seconds to make halves
on the geo boards and then ask them to share what they made.
Students should explain how they know that their figure shows
halves.
4. Tell the students the video will continue on fractions. Provide
them with a FOCUS FOR MEDIA INTERACTION by asking: “How
would you divide a rectangle into fourths?” FAST
FORWARD the video and START after the girl is at
the overhead and Ms. Ericson says, “We’ve been
working with halves a lot today.” STOP the video
when it shows the geo board with 4 rectangles and Ms. Ericson
says, “Here’s one example of a set of fourths.”
5. Write 1/4 on the board. Ask the following questions:
What is the top number of a fraction called? (numerator) What
is the bottom number in a fraction called? (denominator) What
does the denominator tell us about the fraction? (the number
parts or objects that make up the whole) What does the numerator
tell us? (the number of parts of the whole we are talking about
or working with)
6. On the overhead projector show and compare 1 whole
to halves and then to fourths. Now show eighths on the overhead.
Ask how many parts it now takes to make the whole? (8)
7. Tell the students to again use their geo boards, however,
this time divide it into eighths. After giving the students enough
time to complete have them share their figures and explain their
findings.
8. Repeat the procedure only this time have the students
show sixteenths.
9. Now you are going to make a fraction kit of your own.
You will be able to see and compare halves, fourths, eighths,
and sixteenths. In the center of the table you have colored construction
paper strips. There is one set for each person in your group.
Each person should have a blue, brown, yellow, red, and green
strip. You will also need a scissors and a marker. Tell the students
to look at the colored strips. Are they all the same lengths?
(yes) Each strip represents 1 whole. We’re going to be
folding and cutting these strips to show different fractions.
Everyone take the blue strip and label it 1 whole. Next take
your brown strip fold it in half by carefully lining up the edges
of the strip and creasing the fold. Open your strip. How many
sections do you have? (2) Label each part 1/2 and then cut on
the fold so that you have 2 equal pieces. Lay these strips under
the blue whole strip. Next take the yellow strip. Watch as I
fold it in half and then half again. Do the same as I did. Fold
the yellow strip in half and then in half again. Don’t
open it up. How many sections do you think you’ll have
now? (4) Open your strip. Were you right? What should you label
each of these parts? (1/4) Now label each part 1/4 and cut it
on the folds. Lay these under the blue strips. How many fourths
does it take to make 1 whole? (4) To make 1/2? (2) We’re
now going to take the red strip and fold it into eighths. First
fold the strip in half. Students do the same. Now fold it in
half another time. Students follow. Now fold your paper in half
one more time. Crease the folds. Open the strips. How many equal
parts do you have now? (8) Label each section 1/8 and cut on
the folds. Check for accuracy. Now lay the eight pieces under
the fourths. How many eighths does it take to make a whole? (8)
To make 1/4? (2) To make 1/2? (4) Finally, your last strip, the
green one. We want to divide this strip into sixteenths. How
many times will you have to fold this strip in half to get sixteen
equal parts? (4) Follow me as I fold the green strip in half,
in half again, in half again, and in half again. Crease the folds.
Open it up. Label each section 1/16 and cut it on the folds.
Lay your sixteenths underneath the eighths.
10. Ask the following questions. Students should answer
orally and prove their answers by using the fraction strips.
How many fourths does it take to make1/2? (2) How many sixteenths
does it take to make 1/4? (4) Can you mix halves and fourths
to make 1 whole? (yes-one half and two fourths) In their cooperative
group tell the students to equivalent fractions. Each group should
share their discoveries.
1. Tell the students that they are going to put to work their knowledge
of fractions by making a patchwork quilt. Have each student take a
white 8 inch square paper and draw or decorate the square using any
colors or design they choose.
2. After the students have completed the first step have each
of them fold and cut their square into one of the following parts:
halves, fourths, eighths, sixteenths. Before they start cutting,
each member of the group has to decide into how many parts it
will divide its square. This is to avoid each group member cutting
its square into the same number of pieces. At least one person
should do halves, one fourths, one eighths, and one sixteenths.
Depending on the size of the group, the fractional parts may
have to be repeated. The students should label the back of each
part with the fraction it represents and place all pieces in
the middle of the table.
3. Each student now takes a piece of 8 inch square black construction
paper. Tell the students to try to form a new 8 inch square from
the mixed collection of parts. Try to make the square with different
color, patterns, and sizes of pieces. Glue the pieces on to your
black construction paper.
4. After all students are finished bring the lesson to a close
by asking each student to share his patchwork miniature to the
class. Ask the following questions: What fraction pieces did
you use to make your square? (answers will vary) What is the
sum of those fractions? (if they covered the whole square the
answer would 1 whole) Were you able to form a complete 8 inch
square? (some may not have been able to fill the square if the
appropriate fraction was not left in the pile) If you were unable
to complete your square, what fraction or fractions were needed?
(answers will vary) If your square in not complete, what could
you have done to complete it? (trade pieces with another group
member)
5. Students can go to the Web site http://www.superkids.com/aweb/tools/math/
to find quick tips to help them add, subtract, multiply, or divide
fractions.This site provides assistance to teachers in preparing
lessons.
ENGLISH:
Write a paragraph using
the step-by-step procedure used to complete the math lesson.
PHYSICAL EDUCATION:
Create a game so that your class
will have to be divided into fractional groups. Share your game ideas
and play it with the class.
Visit your local power
plant to see how power is produced and distributed to various
areas in fractional parts.
Ask the local tax
collector to visit the class to discuss how fractions
are used in determining the amount of taxes paid by their
parents and local companies.
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