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U n t er r i ch t spl a n
Id e nt if y F rac t io ns as Quant if y ing
Part o f a Se t
Altersgruppe: 3 r d Gr ade
Virginia - Mathematics Standards of Learning (2009): 2.3 a, 3 .3 a,
3 .3 b, 3 .3 c
Virginia - Mathematics Standards of Learning (2016): 2.4 .a, 2.4 .b,
3 .2.a, 3 .2.b
Fairfax County Public Schools Program of Studies: 2.3 .a.1, 2.3 .a.2,
2.3 .a.4 , 2.3 .a.5 , 3 .3 .a.1, 3 .3 .b.1, 3 .3 .b.2, 3 .3 .c .3
Online-Ressourcen: F o r t he B i r ds
T eacher
present s
St udent s
pract ice
Class
discussion
9
6
18
10
2
min
min
min
min
min
Opening
Closing
M at h Obj e c t i v e s
E x pe r i e nc e visual model of fractions.
P r ac t i c e identifying fractions.
L e ar n to represent fractions.
De v e l o p an understanding of the influence of the numerator
and denominator on the value of the fraction.
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Ope ni ng | 9 min
Write on the board the fraction
.
S ay : The fraction
consist of a numerator, fraction line, and a
denominator. The number above the fraction line is numerator (in
this case 3) and the number below the fraction line is denominator
(in this case 4).
Write beside the number 3 "numerator" and beside the number 4
"denominator".
S ay : The denominator is the number of parts the whole is divided
into, and the numerator is the number of parts we chose from the
parts the whole divided to.
A sk : Is the fraction
do you know?
smaller than, equal to, or bigger than 1? How
The fraction is smaller than 1. When the numerator is smaller
than the denominator the fraction is smaller than 1, because we
divided the whole to a number of parts (in this case 4) and out of
those parts we chose the smaller amount of parts (in this case 3).
Draw the following table on the board:
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Write the fraction
under "The fraction is smaller than 1" column.
Write on the board the fraction
.
A sk : What are the numerator and denominator of
?
The numerator is 6 and the denominator is 5.
A sk : Is the fraction
do you know?
smaller than, equal to, or bigger than 1? How
The fraction is bigger than 1. When the numerator is bigger
than the denominator the fraction is bigger than 1, because we
divided the whole to a number of parts (in this case 5) and we
chose more parts than we have divided the whole to (in this case
6), that’s why the fraction is bigger than 1.
Write the fraction
under "The fraction is bigger than 1" column.
Write on the board the fraction
.
A sk : What are the numerator and denominator of
?
The numerator is 12 and the denominator is 12.
A sk : Is the fraction
How do you know?
smaller than, equal to, or bigger than 1?
The fraction
is equal to 1. When the numerator and the
denominator are the same, the fraction is equal to 1, because we
divided the whole into a number of parts (in this case 12) and we
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chose all those parts, i.e the entire whole.
Write the fraction
under "The fraction is equal to 1" column.
Continue in the same manner with a few more examples, until you feel
students understand the concept of numerator, denominator, and the value
of a fraction.
T e ac he r pr e se nt s M at h game : F o r t he B i r ds - N ame
F r ac t i o ns: L e v e l I I | 6 min
Using preset mode, on the projector, present Matific ’s episode F o r t h e
B ir d s - N a m e F r a c t io n s : L e v e l I I to the class.
This episode practices the identification of a fraction as quantifying part of a
set of items. There are birds in a partially-filled birdhouse. You have to
determine what fraction of the holes are either full or empty.
E x a m p le :
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S ay : In each screen there is a birdhouse with birds in it. We have to
determine what fraction of the holes are either full or empty.
S ay: Please read the instructions at the bottom of the screen.
Students can read the instructions.
S ay : In this screen we are being asked what fraction of the cells
have birds in them.
A sk : How many holes does the birdhouse has?
The birdhouse has 6 holes.
A sk : In how many of the holes are there birds, and how many of the
holes are empty?
One hole is full and 5 holes are empty.
A sk : What fraction of the holes are full? How do you know?
In of the holes there are birds, because the whole is divided
into 6 holes and of those holes, 1 hole is filled with a bird.
A sk : What fraction of the holes are empty? How do you know?
of the holes are empty, because the whole is divided into 6
holes and from those five holes are empty.
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S t ude nt s pr ac t i c e M at h game : F o r t he B i r ds - N ame
F r ac t i o ns: L e v e l I | 18 min
Have students play F o r t h e B ir d s - N a m e F r a c t io n s : L e v e l I on their
personal devices.
After they are done, have them play F o r t h e B ir d s - N a m e F r a c t io n s :
L e v e l I I and F o r t h e B ir d s - N a m e F r a c t io n s : L e v e l I I I .
Circulate, answering questions as necessary.
C l ass di sc ussi o n | 10 min
Draw on the board the next shape:
A sk : What is the fraction represented by the blue triangles? How
do you know?
The fraction represented by the blue triangles is , because the
hexagon is divided into 6 equal triangles, and 3 of them are
painted blue.
A sk : What is the fraction represented by the white triangles? How
do you know?
The fraction represented by the white triangles is , because the
hexagon is divided into 6 equal triangles and 3 of them are
painted white.
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A sk : How much is
plus ?
3 blue triangles plus 3 white triangles gives us all 6 triangles that
the hexagon is divided into, therefore
A sk : How much is
.
?
The fraction
is equal to 1. When the numerator and the
denominator are the same, the fraction equals 1. Because we
divided the whole into a number of parts (in this case 6) and we
chose all those parts (in this case the 3 blues and the 3 whites),
i.e the entire whole.
Write on the board:
A sk : What other fraction is represented by the blue triangles?
If we put all blue triangles side by side, we will see that they
cover half of the hexagon, so the blue triangles also represent the
fraction .
Draw on the board the next shape:
S ay : Now we can see that the hexagon is divided into 2 equal parts,
and one part out of the 2 are blue.
Draw on the board the next shape:
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A sk : What is the fraction represented by the blue triangles? How
do you know?
The fraction represented by the blue triangles is , because the
pentagon is divided into 5 equal triangles, and 2 of them are
painted blue.
A sk : What is the fraction represented by the white triangles? How
do you know?
The fraction represented by the white triangles is , because the
pentagon is divided into 5 equal triangles and 3 of them are
painted white.
A sk : How much is
plus ?
2 blue triangles plus 3 white triangles gives us all 5 triangles, that
the pentagon is divided into, therefore
.
A sk : How much is ?
The fraction is equal to 1. When the numerator and the
denominator are the same, the fraction equals 1, because we
divided the whole into a number of parts (in this case 5), and we
chose all those parts (in this case the 2 blues and the 3 whites),
i.e the entire whole.
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Write on the board:
Depending on to the time remaining, repeat the process with different
fractions.
C l o si ng | 2 min
S ay : The number above the fraction line is called the nume r at o r
and the number below the fraction line is called the de no mi nat o r .
A sk : What is the denominator?
The denominator identifies the number of equal parts we have
divided the whole into. The denominator actually determines the
size of each part, because the larger the denominator, means we
divided the whole into more parts, and that means each part is
smaller.
A sk : What is the numerator?
The numerator indicates the number of parts we choose, out of
the parts the whole was divided into.
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