Simplifying Improper Fractions Poster

Simplifying Improper Fractions Poster
Congratulations on your purchase of this Really Good
Stuff® Simplifying Improper Fractions Poster—a reference
tool showing students how to change improper fractions
into mixed numbers.
This Really Good Stuff® product includes:
• Simplifying Improper Fractions Poster
• This Really Good Stuff® Activity Guide
Displaying the Simplifying Improper Fractions Poster
Before displaying the Simplifying Improper Fractions
Poster, make copies of this Really Good Stuff® Activity
Guide and file the pages for future use. Or, download another
copy of it from our Web site at www.reallygoodstuff.com.
Display the Poster where students will be able to see it easily.
Introducing the Simplifying Improper Fractions Poster
Before introducing the Poster, remind students that
fractions consist of two numbers. The top number is called
the numerator. The bottom number is called the
denominator. Tell students that an improper fraction is a
fraction that has a numerator larger than or equal to its
denominator and a proper fraction is a fraction that has a
numerator smaller than the denominator. Remind students
that a mixed number consists of an integer followed by a
proper fraction.
Pointing to the Poster, indicate that you are going to use this
Simplifying Improper Fractions Poster to help students review
how to change improper fractions into mixed numbers: Point to
7/3 and discuss why it is an improper fraction. Refer to the
next step and say they can convert an improper fraction to a
mixed number simply by dividing the numerator by the
denominator. Point to the improper fraction 7/3 and remind
students that by dividing the numerator (7) by the
denominator (3) leaves 2 wholes and 1 remaining fractional
part, or the mixed number of 2 1/3.
Simplifying Improper Fractions Reproducible
Model how to simplify the first two improper fractions on the
Simplifying Improper Fractions Reproducible, having students
help you. For the mixed number 1 1/7 show students how they
can check their answer by following these three easy steps:
1. Multiply the denominator and the whole number
(7 x 1 = 7)
2. Add the numerator (7 + 1 = 8)
3. Place that answer over the denominator (8/7)
Copy and distribute the Simplifying Improper Fractions
Reproducible. Tell students to change the remaining eight
improper fractions into mixed numbers, referring to the
Simplifying Improper Fractions Poster as needed.
Answers: 1) 1 1/7, 2) 2 1/6, 3) 1 2/5, 4) 1 1/8, 5) 3 1/5, 6) 2 5/9,
7) 3 3/4, 8) 2 1/2, 9) 4 1/12, 10) 6 8/10 (or 6 4/5)
Simplified Improper Fractions Card Game
Copy and distribute the Simplified Improper Fractions Card
Game Reproducible. Before starting the game, have students
cut apart the cards. Have them store their cards in a
zippered plastic bag. Post the directions where the class can
easily read them. Have students use their cards to follow
along as you demonstrate how to play the game.
Players: 2 to 4 students
Materials:
• Improper fraction and mixed number cards (Note: When
more than two students are playing, use two full sets
of cards.)
• Pen and paper for each player
Object: To practice simplifying each improper fraction
How to Play:
1. Place the improper fraction cards in a draw pile
facedown. Deal the mixed number cards so that each
player has five.
2. The first player draws an improper fraction card,
displays it, and reads it aloud to the other player(s).
Referring to the Simplifying Improper Fractions
Poster, the player simplifies the improper fraction.
3. Whoever has the matching mixed number card in his
or her hand discards it.
4. Play continues until one player discards all of his or
her mixed number cards and wins the game.
After modeling the game, use it as a math center activity.
Make up an answer sheet, laminate it, and keep it with the
game materials so that students can self-check.
Other Math Center Ideas:
Improper Fraction Bingo: Create a set of Bingo cards with
mixed numbers in each square, and a set of corresponding
call cards with equivalent improper fractions. Use the call
cards to announce an improper fraction, and lay them down
faceup for checking when a student calls Bingo. Using the
Simplifying Improper Fractions Poster as a reference,
players convert the called-out improper fraction and check
to see if they have it on their Bingo card. The first player
with five chips in a row wins.
Improper Fraction Memory Game: Make sets of cards for
the game by creating cards with one improper fraction and
cards to match with the equivalent mixed number for each
improper fraction. Students play by spreading out the
cards facedown in a grid of rows and columns. One by one,
players turn over two cards. If a player has a match, he or
she keeps the two cards. If not, the player has to turn over
the cards facedown and the next player takes a turn. The
player with the most cards wins.
All activity guides can be found online:
Helping Teachers Make A Difference®
© 2010 Really Good Stuff
®
1-800-366-1920 www.reallygoodstuff.com Made in USA #159168
Simplifying Improper Fractions Reproducible
Helping Teachers Make A Difference®
© 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in USA #159168
Simplified Improper Fractions Card Game Reproducible
Helping Teachers Make A Difference®
© 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in USA #159168
Equivalent Fractions Poster
Congratulations on your purchase of this Really
Good Stuff® Equivalent Fractions Poster—a useful
tool for students to refer to as they study
equivalent fractions.
This Really Good Stuff® product includes:
• Equivalent Fractions Poster, laminated
• This Really Good Stuff® Activity Guide
Displaying the Equivalent Fractions Poster
Before displaying the Equivalent Fractions Poster,
make copies of this Really Good Stuff® Activity
Guide, and the reproducibles on the back of the
Poster, and file the pages for future use. Or,
download another copy of it from our Web site at
www.reallygoodstuff.com. Hang the Poster where
students will be able to see it easily.
Introducing and Using the Equivalent Fractions
Poster
Copy and distribute the Pizza Fraction Cutouts
Reproducible. Distribute a small zippered plastic bag
for each student to store the cutouts in. Remind
students that equivalent fractions are fractions
that represent the same amount, even though they
may look different. Point to each pizza pie on the
Poster and ask students to notice what is the same
(same area shaded in) and what is different
(different number of slices, different fractions). Tell
students to cut out the pizza pies on the
reproducible. Have students place the two slices
marked 1/2 on the whole pizza pie. Discuss that if
this pizza pie were to be split into two equal
sections, each section is represented as a fraction
of 1/2. Have students repeat this process with the
pizza pies labeled 1/4, 1/6 and 1/8. Again, discuss
how each fraction represents the same pie, but the
fractions and the slices look different because the
denominator is changing based on the number of
equal slices the pizza pie is cut into. Ask students
how many of the 1/4 slices they would need to equal
the same as 1/2. Display the answer of 2/4 on your
board and highlight how 1/2 and 2/4 are equal
because they are both half of something. Repeat
this with the 1/6 and 1/8 slices. Instruct students
to store their cutouts in the bag and place it in
their math folder for future use.
Making 1/2
Copy and distribute the Pizza Fraction Cutouts
Reproducible. Again, remind students that
equivalent fractions may not always look the same
because the denominator is changing, based on the
number of equal parts something has. Ask students
to select a crayon and indicate that they will use
this crayon to shade in the same fraction of each
pizza pie. Begin by shading in 1/2 of the pizza pie
titled 1/2. Record the shaded fraction on the line to
the right of the pie. Instruct students to shade in
1/2 of the pie titled 1/4. Discuss how many slices will
be shaded in. Tell students to record the shaded
fraction of the 1/4 pie. Discuss how both pies look
alike, yet their fractions are different. Repeat this
with the 1/6 and 1/8 pies.
Drawing Equivalent Fractions
Copy and distribute the Creating Equivalent
Fractions Reproducible. Instruct students to refer
to the bottom section of the Poster, which
highlights multiplying or dividing a fraction by one to
get an equivalent fraction. Review the identity
property of multiplication and the fact that 1 is
represented in a fraction when both the numerator
and the denominator are the same number. Read
through the directions, which tell students to find
the equivalent fraction of each fraction by
multiplying or dividing by a fraction representing 1.
After solving for the equivalent fraction, indicate
that they are to visually represent both the original
and equivalent fraction in the rectangles next to
each problem. If necessary, remind students that
just like the example given, the fractions will look
different in number form, but the same when visually
represented because they are equal. Encourage
students to complete the challenge problem, this
time representing the fractions with circles.
All activity guides can be found online:
Helping Teachers Make A Difference®
© 2010 Really Good Stuff
®
1-800-366-1920 www.reallygoodstuff.com Made in USA #159190
Pizza Fraction Cutouts Reproducible
Helping Teachers Make A Difference®
© 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in USA #159190
Creating Equivalent Fractions Reproducible
Helping Teachers Make A Difference®
© 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in USA #159190
Reducing Fractions Poster
Congratulations on your purchase of this Really Good Stuff®
Reducing Fractions Poster—a step-by-step resource for
students to refer to when reducing fractions.
This Really Good Stuff® product includes:
• Reducing Fractions Poster, laminated
• This Really Good Stuff® Activity Guide
Displaying the Reducing Fractions Poster
Before displaying the Reducing Fractions Poster, make copies of
this Really Good Stuff® Activity Guide and file the pages for
future use. Or, download another copy of it from our Web site at
www.reallygoodstuff.com. Display the Poster where students will
be able to see it easily.
Introducing the Reducing Fractions Poster
Pointing to the Poster, indicate that you are going to use this
Reducing Fractions Poster to help students review how to reduce
fractions. Remind students that reducing fractions means writing
a fraction in its simplest form by using the smallest number
possible. In other words, they have to find an equivalent fraction in
which the numerator and the denominator are as small as
possible. When a fraction is reduced, there should be no number
(except 1) that can be divided evenly into both the numerator and
the denominator. Be sure to remind students that reducing
fractions makes fractions easier to understand.
1. Point to the original fraction 12/16 on the Poster. Tell
them that it is hard to picture what twelve-sixteenths
of a cake might look like. Say that you are going to
model how to reduce this fraction, and that afterward
they will find out that it’s a fraction they are very
familiar with.
2. Thinking aloud, list all the possible factors of the
numerator 12: 1, 2, 3, 4, 6, 12 and the denominator 16:
1, 2, 4, 8, 16.
3. Remind students that the greatest common factor is
the largest factor that both the numerator and
denominator share. Refer students back to the factors
you wrote down for the numerator and the denominator.
Have students tell you that the greatest common
factor (GCF) for 12/16 is 4.
4. Review that in order to reduce a fraction to its lowest
term, you need to divide the numerator and the
denominator by the GCF. Model how you can divide both
numbers evenly by 4.
5. So 12/16 reduces to 3/4. Point out how it is a lot
easier to visualize three quarters of a cake than
twelve-sixteenths of a cake.
Reducing Fractions Reproducible
Copy and distribute the Reducing Fractions Reproducible.
Model how to write the first two fractions on the Reducing
Fractions Reproducible in their simplest forms, having
students help you with each step:
Original
Fraction
All Possible
Factors
6
18
1, 2, 3, 6
1, 2, 3, 6, 9, 18
15
25
1, 3, 5, 15
1, 5, 25
Greatest
Common
Factor (GCF)
6
5
Helping Teachers Make A Difference®
Divided by
the GCF
Reduced
Fraction
6÷6
18÷6
=
1
3
15÷5
25÷5
=
3
5
Tell students that the worksheet has 10 more fractions
to reduce to lowest terms. Encourage students to follow
each step on the Reducing Fractions Poster to find
their answers.
Reduced Fraction Card Game
Copy and distribute the Reduced Fraction Card Game
Reproducible. Before starting the game, have students cut
apart the cards. Have them store their cards in a zippered
plastic bag. Post the directions below where the class can
easily read them. Have the students use their cards to
follow along as you demonstrate how to play the game.
Players: 2 to 4 students
Materials:
• Reduced Fraction cards
• Pen and paper for each player
Object: To practice reducing fractions to their simplest form
How to Play:
1. Place the cards in a stack facedown. Determine who will
go first.
2. The first player flips a card over. If the fraction is shown
in its simplest form, the player keeps the card. If the
fraction is not in its lowest term, the player must give
the correct lowest term in order to keep the card. If the
player gives an incorrect fraction, the player must turn
the card back over.
3. Play continues until all of the cards have been played
and answered correctly. The player with the most cards
wins the game.
After modeling the game, use it as a math center activity.
Make up an answer sheet, laminate it, and keep it with the
game materials so that students can self-check. For those
students who need extra support, make a separate deck of
cards using fractions whose numerators and denominators
have fewer factors.
Other Math Center Ideas:
• Reducing Fractions Bingo Game: Create a set of Bingo
cards with reduced fractions in each square, and a set
of corresponding call cards with equivalent fractions
that need reducing. Use the call cards to announce an
unreduced fraction, and lay them down faceup for
checking when a student calls Bingo. Using the
Reducing Fractions Poster as a reference, players
convert the called-out fraction and check to see if they
have an equivalent reduced fraction on their Bingo card.
The first player with five chips in a row wins.
• Reducing Fractions Memory Game: Make sets of
cards for the game by creating cards with un-reduced
fractions and cards to match with their equivalent
reduced fractions. Students play by spreading out the
cards facedown in a grid of rows and columns. One by
one, players turn over two cards. If a player has a
match, he or she keeps the two cards. If not, the player
has to turn the cards facedown and the next player
takes a turn. The player with the most cards wins.
All activity guides can be found online:
© 2010 Really Good Stuff
®
1-800-366-1920 www.reallygoodstuff.com Made in USA #159252
Reducing Fractions Reproducible
Helping Teachers Make A Difference®
© 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in USA #159252
Reduced Fraction Card Game Reproducible
Helping Teachers Make A Difference®
© 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in USA #159252