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Comparing Fractions

Mrs. Marcy's 3rd Grade Classroom, Metter Elementary 2014
by

Kathryn Waters

on 13 March 2014

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Transcript of Comparing Fractions

How can we compare fractions?
Not everyone has gold bars, so let's compare fractions with something we all are familiar with...
Guided Practice:
Popsicle Name Stick Review
Mirror with Words
The the denominator,
the the size of the piece.
Mrs. Kathryn's
Rules
1. We follow directions quickly.
2. We listen carefully.
3. We work hard.
Comparing Fractions
Popsicle Name Stick Review
Popsicle Name Stick Review
When fractions are the same size, they are called ____________.
Listen carefully
to the
directions
and don't move to groups until you hear the magic word, "
equivalent
."

MCC3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by
reasoning about their size.

a. Understand two fractions as equivalent (equal) if they are the same size or the same
point on a number line.
b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3).
Explain why the fractions are equivalent, e.g., by using a visual fraction model.
c. Express whole numbers as fractions, and recognize fractions that are equivalent to
whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6;
locate 4/4 and 1 at the same point of a number line diagram.
d. Compare two fractions with the same numerator or the same denominator by
reasoning about their size. Recognize that comparisons are valid only when the two
fractions refer to the same whole. Record the results of comparisons with the
symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction
model.


We are still following Mrs. Marcy's
regular procedures and rules.
The Clipboard is still going to be used!
Behavior Management Pizza
& Mystery Reward!
If you can earn all three pieces of the pizza to make a whole,
you will earn a mystery prize at the end of the lesson.
Hint:
It is equivalent to 1/12
Refocusing Technique:

Who wants chocolate!?
Was this fair?
Equal?
You are all going to have to help me figure out how to divide all these pieces evenly between you all so that everyone gets an equal share.
Essential Question:
How can we

compare

fractions
?
To look at two or more fractions to see if one fraction is
greater than
,

less than
,
or
equal

to the other fraction.
Compare
We will be exploring different ways to compare fractions using the words
Greater than
,
less than
, or
equal
.
Fraction
A part of a whole.
Another way to say that
fractions are
equal
is to say
that they are
equivalent
.

Equivalent
means
equal
.
Mirror with Words
1/4
<
3/4
Equivalent
1/2 = 2/4 = 4/8
Previous learning:
into
equal
parts
placing fractions on a number line
a whole or set is divided
Fractions Review Week!
Food that can be divided
into equal pieces
What do we already know?
Brainstorm:
A fraction is a
part of ______.
whole
Fractional parts are
equal

parts of a whole
or a whole set.
The ____________ is the top number of a fraction and it represents the number of equal-sized parts of a set or whole.
numerator
N-U
in the word
numerator helps us to
remember it is on top
and ___________.
Not Under
Popsicle Name Stick Review
The ____________ is the bottom number of a fraction
and it represents the total number of
equal-sized parts of a set or objects in a whole.
denominator
The
D
in denominator
helps us to remember
it is _______ on the
bottom
of the fraction.
down
Look at the denominator!
It gets
larger

as the sizes get
smaller
!
LARGER
smaller
The
more
pieces that form a whole,
the
smaller
the pieces of the whole become.
One whole divided into
smaller
&
smaller
portions.
Equivalent
=
Let's learn some fun tricks!
Mirror with words
If I
double

the
numerator
&
get the
denominator
,
the fraction is
equivalent
to
½
When the
numerator
&
denominator
are the same, the fraction is
equivalent
to
Turn &Teach!
ONE
Mirror with Words
Turn & Teach
1/1 = 1
2/2 = 1
3/3 = 1
4/4 = 1
5/5 = 1
6/6 = 1
7/7 = 1
8/8 = 1
9/9 = 1
10/10 = 1
Get out your imaginary whiteboards.
Draw an imaginary example of a
fraction

equivalent
to
one
.
1
1
=
Wiggle ten fingers in the air when you have an example.
12345678
12345678
When the
denominator
is 1, the
fraction
is
equivalent
to the
numerator
.
Mirror with Words
1 2 3 10 25
1 1 1 1 1

=1 =2 =3 =10 =25
Equivalent

Fractions
look different but have the same value.
Mirror with Words
One dollar= 4 quarters
One is paper and one is metal, but they have the same value!
PIZZA!!!
Demonstrate comparing with pizza game pieces.
What are some ways we can compare these pieces of pizza?
Time for a check on
behavior
!

Did you earn the first
piece

of the
Behavior Management PIZZA
?!
Pizza Fraction Fun!
Time for another check on your
behavior
!

Did you earn the second
piece

of the
Behavior Management PIZZA
?!
Equivalent Fractions
Start on the side that says:
Recording Sheet:
1
4 8
=
Assessment
Review and EQ
Real World & Future Learning

This is it! Did you earn the last piece of the pizza!?
Your mystery reward is
HERSHEY'S
Time stamp 1:15 - 4:00
A
clock
is divided into
12 hours,
60 minutes,
60 seconds

Cakes
and
pies
are
divided into slices
Rulers
are divided
into equal fractions
Next year you will learn how to add and subtract fractions!
Whole Group
Station Rotation
Group 1
Group 2
Jackson and Hugo 5, 2, 1
Fletcher and Brannon 3, 5, 1
Cole and Jamyius 4, 5, 3
Rikhia, Natalie, and Jenny 2, 3, 5
Alyssa and Loretta 1, 2, 5
Anasha and Laejah 5, 4, 2
Greyson and Jayceon 2, 5, 4
Chase and Randy 5, 1, 2
Groups Station Rotation
Groups Station Rotation
Dentrell and Rodriguez 4, 1, 5
Miriam and Halley 2, 5, 1
Annie and Nate 4, 5, 3
Xavier and Curtis 5, 3, 4
Dewaine and Coy 5, 2, 1
Eric and Shanyia 3, 4, 5
Jordan and Demetrius 1, 5, 2
Andy and Wyatt 2, 1, 5
Jimmy and Jordan 5, 4, 3
Full transcript