Quarter 3 Mathematics Lesson 58-60
Quarter 3 Mathematics Lesson 58-60
Quarter 3 Mathematics Lesson 58-60
Representin
g Fractions
using
Regions,
Sets, and
Number
Objective
- Represent
fractions using
regions, sets, and
number lines
Drill
2.
x
3.
x
Motivatio
n
a. Representing
fractions using
regions
Distribute a graphing
paper or a grid paper (as
shown) and crayons to
groups of 3.
Let each group draw the
following regions in the
graphing or grid paper
and color the parts
asked for.
12 balls + 12 balls = 24 balls
Draw a 3 x 3 square
region. Color 3
squares.
Math 3
What fractional part
of the region is
colored.
Math 3
How many more
ampalaya should we
shade to show ½?
Explain their answer.
set of 16
pencils, show
1/2
c. Representing
fractions using
number line
4 equal parts
Figure B
6 equal parts
Figure C
8 equal parts
Into how many parts is
each of the number lines
divided?
1. 4. 2/4
2/12
2.
2/8 5.
2/6
3.
1/4
Summarizin
g the
Lesson
Fractions can be
represented by the use of
regions, sets and
Gawain
2
4.
5.
Tamang
Sagot
1. 4.
2/5 3/9
2.
5.
4/5
3. 3/6
6/10
Gawain
3
2. plorera na
walang
bulaklak
3. basong
walang laman
4. pumutok
na lobo
5. aklat na
nakatupi
Tamang
Sagot
1. 4.
1/3 3/7
2. 5.
2/5 4/9
3.
3/10
Takdan
g Aralin
Kopyahin at gawin
ang sumusunod sa
inyong kuwaderno.
2. five -
sixths
3. seven -
tenths
4. three -
fifths
Tamang Sagot
1.
3/8
2.
5/6
3.
7/10
4.
3/5
B. Tukuyin ang
fraction na
pinapakita sa number
line at isulat ang
sagot sa inyong
papel.
1
.
2
.
3
.
4
.
5
.
Tamang Sagot
1.
1/6 4.
2. 3/9
3/3 5.
3. 4/7
5/8
Lesson 59
Visualizing
Dissimilar
Fractions
Objective
Visualize
dissimilar
fractions
Drill
Name the
fraction
represented by
the shaded
part.
Examples:
1 1
2 3
2
4
3
8
Review
A. Parts of a Fraction
1. What does 1 mean
in ?
, , ____
1.
, _____ ,
2.
, _____ , ,
3.
Group
Work
1. Divide the
class into 3
groups.
Group 1
will be “rectangle
group”.
Group 2
will be
“circle
group”
Group 3
will be “square
group”
2. Give each
group 3 pieces of
cut-outs of the
shape the group is
named after.
3. Ask each group to get a
shape and fold it into three
equal parts. Let them
darken the creases. The
“rectangle group” will
shade 1 part, the “circle
group” will shade 2 parts
and the “square group” 3
parts.
4. Ask them again to get
another shape and fold it
into four equal parts. Let
them darken the creases
again. The “rectangle
group” will shade 1 part,
the “circle group” will
shade 2 parts and the
“square group” 3 parts.
5. Ask them to get the
last shape, fold the
shape into 8 equal
parts. Darken the
creases. Let the
“rectangle group”
shade only one part;
the “circle group”, 3
parts; and the “square
group”, 5 parts.
Development
al Activities
1. Presenting the
Lesson
Ask each group to post
their work on the
board.
Rectangl
e Group
Circle
Group
Square
Group
2. Performing the
Activities
Get the picture of 1/8,
3/8 and 5/8 and name the
shaded part.
Set
A
Get the picture of 2/3, 1/8 and 3/4
Set
B
Into how many equal
parts were the shapes
in Set A
divided?
What part of the
fraction does it
represent?
Answer:
denominat
or
What have you
noticed with the
denominators?
How about set B?
What are the
denominators?
Class
Activity
a. Class Activity
Have the 5
sets of
fractions
below be
written on 1/2
of cartolina.
Divide the class in
5 groups and give
each group one
set of fractions.
Math 3
Here is an activity in Ms.
Ann’s class. Can you help
her pupils do this?
Which fraction will be
crossed out to make
each set dissimilar
fractions a better one.
Give your reason for
crossing it out. Math 3
1.
, , , ,
2.
, , , ,
3.
, , , ,
4.
, , , ,
5.
, , , ,
(Note: Any of the fractions
to be crossed out is correct.
But to make it a better set
of dissimilar fractions no
denominators should be the
same in each set.)
Pair
Activity
Tingnan
Gawain ang
1 mga
ilustrasyon. Lagyan ng
tsek ( ) ang kahon kung
ang sumusunod na pares
ay may magkatulad na
bilang ng mga bahagi at
ekis
1.
2.
3.
4.
5.
Tamang
Sagot
1. 4.
3.
2. 5.
Individual
Activity
Gawain
2
Group
Activity
a. Group Activity
Have the pairs of
fractions below be
written in 5 strips of
cartolina. Divide the
class into 5 groups.
Give each group a
strip of cartolina. Let
them write their
answer on 1/4 sheet
of manila paper to be
posted later on the
board.
Direction : Illustrate the
pair of fractions. Then
write dissimilar, if the set
is dissimilar fractions and
similar, if these are not
dissimilar.
1. ,
2. , 3. ,
4. , 5. ,
Pair
Activity
Gawain
3
Basahin at unawain
ang bawat suliranin.
Sagutin ang
sumusunod na
tanong at isulat ang
tamang sagot sa
inyong kuwaderno.
1. Nasa paaralan si
Christian araw. Ang na
araw niya ay inilalaan sa
paggawa ng kaniyang
takdang aralin. Kung
ihahambing ang at ,
anong uri ng fraction ang
mga ito?
Sagot: ___________________
2. Si Ben ay gumupit
ng parihabang papel.
Hinati niya ito sa apat
na bahagi na may
magkakasinglaki.
Kinulayan niya ang 3
bahagi.
Iguhit ang ginawa ni Ben
at isulat ang angkop na
fraction. Gumuhit pa ng
isang hugis na
magpapakita ng
dissimilar fraction.
Sagot: _____________________
3. Si Camille ay may 2
hugis bilog. Itinupi niya
ang isa sa 4 na bahagi
na magkasinglaki. Ang
ikalawang bilog naman
ay itinupi niya sa 8
bahagi na may
magkakapareho ring
laki.
Kung kinulayan niya ang 3
bahagi ng unang bilog at 3
bahagi naman sa
ikalawang bilog,
magkapareho ba ang
bahaging may kulay?
Iguhit ang 2 fraction na
nabuo ni Camille.
Sagot: _____________________
Tamang
Sagot
1. Dissimilar
fraction
2.
2. Example of another
fraction
____ 3.
____ 4.
____ 5.
Tamang Sagot
1.
D 4.
D
2. D
Math 3
Takdan
g Aralin
Lagyan ng ekis ( )
ang bawat patlang
kung ang pares ng
fraction ay dissimilar.
Isulat ang sagot sa
inyong kuwaderno.
_____ 1. ,
_____ 2. ,
_____ 3. ,
_____ 4. ,
_____ 5. ,
_____ 6. ,
_____ 7. ,
_____ 8. ,
_____ 9. ,
_____ 10. ,
Tamang Sagot
1. 4. 7.
2. 5. 8. 10.
3. 6. 9.
Lesson 60
Comparin
g
Dissimilar
Fractions
Objective
Compare dissimilar
fractions
Drill
, ,
, ,
,
,
,
,
,
Revie
w
1. 234 □ 546
2. 563 □ 301
3. 543 □ 500+40+3
4. 81 tens □
810
5. 102 □
431
6.626 □ 616
7. 600+12 □
642
8. 539 ones □ 58
tens
Motivatio
n
Tell this
story.
Yesterday, these
children had these
snacks:
Angela = 1/8 of
pie
Angelu = 1/4 of
pie
Who do you think ate
Renz = 1/5 of
the biggest piece?
pie
Development
al Activities
1. Presenting the
Lesson
Present these strips of
paper. Ask what kind
of fractions these are.
Let them take a look at
the rectangles.
what they
observe.
Let them note that the
fractions have the same
numerators but
different denominators.
What do you call this
kind of fractions?
Answer:
Dissimilar
fractions
How will you classify
these fractions in
comparison with one
whole? Answer: They are
fractions less than
one
What do you notice with
the fractions as their
denominator gets bigger?
2. Performing the
Activities
How will you compare
1/2 and 1/5?
>
Compare and
<
What do you notice with
their numerators?
denominators?
a. dissimilar fractions
which are less than one
having the same
numerators?
b. dissimilar fractions
which are more than
one having also the
same numerators?
c. dissimilar fractions
which have different
numerator and
denominator with
illustrations? without
illustrations?
Which do you think is
the most convenient
way to compare
fractions? Why?
If you compare pair of
fractions using the
illustration and cross
product method, did you
find the same answers?
Group
Activity
a. Group Activity
Have one group of pupils
fold the rectangular cut-
outs (same in sizes) to show
2/4, 2/3; 1/3, 2/4; and 1/6,
3/5. Have them compare the
fractions in each set. Have
another group compare the
numbers using the short
way.
Set
A
Set
B
Set
C
Individual
Activity
Gawain
1
Paghambingin ang
pares ng fraction sa
bawat bilang. Isulat sa
sagutang papel ang
mga simbolo >,< at =.
1
.
2
.
3
.
4
.
Tamang Sagot
1. < 3.
>
2. > 4.
>
Math 3
Pair
Activity
Gawain
2
Tukuyin ang katumbas
na fraction ng
sumusunod na figure.
Paghambingin ang
bawat pares ng mga
ito sa pamamagitan ng
>,< at =. Isulat ang
sagot sa sagutang
1
.
2
.
3
.
4
.
Tamang Sagot
1. = 3. <
2. > 4. >
Summarizi
ng the
Lesson
What symbols of relation
do we use in comparing
fractions?
To compare fractions,
we use the symbols of
relation such as:
> read as “is greater than”
< read as “is less than”
= read as “is equal to” or
“equals”
How do you
compare
dissimilar
fractions?
For fractions with the
same numerators,
look at the
denominators, the
fraction with the
smaller denominator
is the larger fraction.
For fractions with unlike
denominators, cross
multiplication may be
used.
For fractions with the
same denominators,
look at the
numerators, the larger
fraction is the one
with the greater
6. Applying to
New and Other
Situations
Class
Activity
a. Class Activity
Go back to the question in
the motivation, who do you
think ate
biggest the piece? Explain
your answer.
What method of
comparison did you use?
Give reason why you use
that method.
What method of
comparison did you
use? Give reason
why you use that
method.
Pair
Activity
b. Pair Activity
Tell the pupils to find
a partner. One pupil
will write a pair of
fractions and the
other will compare
it.
If the comparison is
correct then it will be
his/her turn to make a
pair of fractions to be
compared by his/her
partner. This will take
several rounds. The pupil
who gives the most
number of correct
answers wins.
Pair
Activity
Gawain
3
Sipiin sa inyong
kuwaderno ang mga
figure sa ibaba.
Kulayan ang lahat ng
fraction na higit sa ng
asul at pula naman
kung mas maliit sa .
Gawain
4
A. Gamitin ang cross
product method sa
paghahambing ng
sumusunod na fraction.
Isulat ang >,< at = sa
inyong sagot sa
sagutang papel.
1. ____ 2. ____
3. ____ 4. ____
5. ____
Math 3
Tamang Sagot
1. < 4. =
2. >
5. <
3. =
Math 3
B. Isulat ang salitang
Tama sa patlang kung
ang paghahambing ng
dalawang fraction sa
ibaba ay tama at Mali
kung hindi. Ipakita ang
inyong solusyon at
isulat ang sagot sa
inyong kuwaderno.
_____1. = _____ 2. <
_____ 3. = _____ 4. >
_____ 5. <
Math 3
Tamang Sagot
1. 4.
false false
2. 5.
false true
3.
true Math 3
Takdan
g Aralin
Pagkumaparahin ang
dalawang fraction sa
bwat bilang gamit
ang >,< at = . Isulat
sa kuwaderno ang
inyong sagot.
1. ____ 2. ____
3. ____ 4. ____
5. ____
Math 3
6. ____ 7. ____
8. ____ 9. ____
10. ____
Math 3
Tamang
Sagot
1. 6.
> >
2. 7.
< <
3. 8.
< <
4. 9.
< >
5. 10.