Pasig Catholic College Grade School Department PCC @ 103: Be

Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
MATH 5
SECOND QUARTER
DLA No. 1
TYPES OF ACTIVITY: Concept Development
Name______________________________________________Score___________
Grade & Section_____________________________________Date___________
TOPIC
: Concept of Fractions
LEARNING OBJECTIVES : 1. Identify the kinds of Fractions
2. Illustrate the given fractions
Reference
: Experiencing Math
Author/s
: Manuel Mallari
CONCEPT NOTES
:
KINDS of FRACTIONS
Proper Fraction is a fraction less than 1 and whose
Numerator is smaller than the denominator.
!
Example:
!
0 1
2 3
4
5
6
7
8
Improper Fraction is a fraction equal to or more than
1 and whose numerator is bigger than the denominator.
!
Example:
!
Mixed Number is a combination of whole number and a
fraction and sometimes called mixed fraction.
!
Example: 1
!
Similar Fractions – fractions whose denominators are
the same.
Example:
3 , 4 , 6
7
7
7
Dissimilar Fractions – Fractions whose denominators
are different.
Example:
5 ,
7 , 9
6
5
10
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 2
TYPES OF ACTIVITY: Concept Development
Name_____________________________________________Score___________
Grade & Section______________________________________Date___________
TOPIC
:
Changing an Improper Fraction into a mixed
number and vice versa.
LEARNING OBJECTIVES :
Change an Improper Fraction into a mixed number
and vice versa.
Reference
:
Soaring 21st Century Mathematics
Author/s
:
Eduardo O. Dela Cruz Jr., Ed.D.
CONCEPT NOTES
:
To convert mixed number to an improper , multiply the denominator by the whole
number and add the numerator. Write the numerator over the same denominator.
Example:
3
!
=
!
(5 x 3 + 2 )
Mixed Number
17
5
!"
=
Improper Fraction
!
!
To convert improper fraction to a mixed number, divide the numerator by its denominator.
Write the quotient as a whole number and the remainder as he numerator then copy the same
denominator.
!!
Example:
means 11 ÷ 2.
!
!!
𝟏
=
___5___
= 5
!
𝟐
2 / 11
10_
1
Improper Fraction
!!
!
= 5
3
5
!
=
!
!
Mixed Number
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 3
TYPES OF ACTIVITY: Concept Development
Name______________________________________________Score___________Grade &
Section______________________________________Date___________
TOPIC
:
Recognizing Equivalent Fractions
LEARNING OBJECTIVES :
1. Identify equivalent fractions
2. Form equivalent fractions
Reference
:
Simplifying Mathematics 5
Author/s
:
Erminda E. De Leon
CONCEPT NOTES :
a. Equivalent Fractions name the same parts of a fraction. They name
the same value.
!
!
Equivalent Fractions
!
!
b. Fractions can be change to higher terms by multiplying the
numerator and denominator by the same number.
Example:
•
Multiply to make higher equivalent fractions.
!
x
!
!
!
!
!
=
!
!
!
,
is equivalent to
!
!
!
,
!"
!"
x
,..
!
!
=
!"
!"
c. Fractions can be changed to lower terms by dividing the
numerator and denominator by the same number.
Example:
•
Divide to make lower equivalent fractions.
!"
!"
!"
!"
÷
!
!
=
!
!
is equivalent
!"
,
!"
!
!
,
!
!
÷
!
!
=
!
!
,..
d. Fractions are equivalent if their cross- products are equal.
Example:
(25 x 3) 75
=
75 ( 5 x 15)
!
!
!"
!"
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 4
TYPES OF ACTIVITY: Concept Development
Name_____________________________________________Score__________
Grade & Section_____________________________________Date___________
TOPIC
: Changing Dissimilar Fractions to Similar Fractions
LEARNING OBJECTIVES :
1. Find the LCD of two or more fractions
2. Change dissimilar fractions to similar fractions
Reference
:
Transformative Mathematics 5
Author/s
:
Debbie Y. Grafil
CONCEPT NOTES :
To change dissimilar fractions to similar fractions, follow the steps below:
Step 1.
Find the least common denominator (LCD) of the fractions.
LCD= 30
Write 30 as the new denominator for the two fractions.
!
=
!
𝟑𝟎
!
=
!
𝟑𝟎
Step 2.
Divide the LCD by the denominator of each fraction.
!
=
30 ÷ 6 = 5
!
!"
!
!
=
30 ÷ 5 = 6
!"
Step 3.
Multiply the quotient by the numerator. The answer becomes the new
Numerator.
!
!"
=
30 ÷ 6 = 5 x 3 = 15
!
!"
!
!
=
!"
!"
Dissimilar fractions
30 ÷ 5 = 6 x 4 = 24
!
!
and
!
!
changed to similar fractions
!"
!"
and
!"
!"
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 5
TYPES OF ACTIVITY: Concept Development
Name______________________________________________Score___________Grade &
Section______________________________________Date___________
TOPIC
:
Comparing Fractions
LEARNING OBJECTIVES :
1. Compare fractions by using >,< and =
2. Order or arrange fractions from least to greatest
or vice versa
Reference
:
Experiencing Math 5
Author/s
:
Manuel M . Mallari
CONCEPT NOTES :
* To compare fractions using cross – multiplication, get the cross product of
the two fractions. Compare the products.
Example:
!
!
Compare
and
!
!"
1 x 12 = 12
6 x 5 = 30
!
!
!
Since 12 < 30, then
!"
!
!
<
.
!
!"
* To compare three or more dissimilar fractions, get the least common
denominator or LCD of the given fractions. Rename dissimilar to similar
fractions. Compare the numerators, the greater the numerator the greater
the value of the fraction.
Example:
Compare then arrange the following fractions from least to greatest.
!
!"
,
!
!
,
!
!
Step 1.
Find the LCD of 10, 6 and 5
LCD = 30
Step 2.
Change dissimilar to similar fractions.
!
!"
!
!
!
!
Since
!"
=
!"
=
!"
!"
=
!"
!"
( 30 ÷ 10 x 7 =
!"
!"
<
greatest we have
!"
!"
!
!
<
,
21)
( 30 ÷ 6 x 5 =
25 )
( 30 ÷ 5 x 3 =
18 )
!"
!"
!
!"
, then ordering the fractions from least to
,
!
!
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
Activity Sheet No. 6
TYPES OF ACTIVITY: Concept Development
Name______________________________________________Score___________Grade &
Section______________________________________Date___________
TOPIC
:
Simplifying Fractions
LEARNING OBJECTIVES :
1. Reduce fraction to its lowest
2. Answer Word Problem Involving Simplifying Terms
Reference
:
Math for Life 5
Author/s
:
Amelia Celeridad- Wright, Adela C. Villamayor
CONCEPT NOTES :
* To simplify a fraction means to reduce it to lowest terms.
* A fraction is said to be in lowest terms if the GCF of its numerator and
denominator is 1.
* To reduce a fraction to lowest terms, divide its numerator and denominator
by its GCF.
Example:
𝟗
𝟏𝟓
The GCF of 9 and 15 is 3.
!
!"
=
Therefore,
!
!"
÷
!
!"
𝟑
𝟑
=
!
!
when reduce to lowest terms is
!
!
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 8
TYPES OF ACTIVITY: Computational Skills
Name______________________________________________Score___________
Grade & Section______________________________________Date___________
TOPIC
:
Adding Similar Fractions
LEARNING OBJECTIVES :
1. Add similar fractions and mixed number with the
same denominators.
2. Solve word problems involving similar fractions
Reference
Author/s
CONCEPT NOTES :
Ø
Ø
•
•
•
:
:
Experiencing Math 5
Manuel M . Mallari
Similar fractions have the same denominators.
To add similar fractions:
Add the numerators.
Use the same denominator.
Simplify the sum, if possible.
Example:
!
+
!
!
!
+
!
!
=
!
!
or
1
!
!
Ø To add fraction and a whole number:
• Add or combine the two and simplify the sum if possible.
Example:
12
!
!"
+
!
!"
=
12 4
10
or
12
!
!
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 9
TYPES OF ACTIVITY: Computational Skills
Name______________________________________________Score___________Grade &
Section______________________________________Date___________
TOPIC
:
Adding Dissimilar Fractions
LEARNING OBJECTIVES :
1. Change Dissimilar to similar fractions
2. Add Dissimilar Fractions
Reference
:
Using Math in This Millennium 5
Author/s
:
Adele C. Villamayor
CONCEPT NOTES :
To add dissimilar fractions:
a. Find the least common denominator of the given Fractions.
b. Change the fraction to similar fractions
•
•
•
Divide the LCD by the denominator.
Multiply the quotient and the numerator.
Write the product as the new numerator.
c. Add the numerators and write the sum over the common
denominator/ LCD.
d. Express the sum in its simplest form, if possible.
Example:
a. Get the LCD.
!
!
=
b. Change to similar fraction
!
𝟗
𝟏𝟐
!
=
𝟏𝟐
+ + !
!
𝟖
=
=
!
𝟏𝟐
!
𝟏𝟐
____________________ __________________ c. Add.
!
+ !
!
=
=
!
!"
!
!
!"
______________________ d. simplify. !"
!
or
1
!"
!"
(12 ÷ 4 x 3 = 9)
(12 ÷ 3 x 2 = 8) Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 10
TYPES OF ACTIVITY: Concept/ Skill Development
TOPIC
:
Adding Dissimilar Fractions and Mixed Numbers
LEARNING OBJECTIVES :
1. Add dissimilar fraction and mixed numbers
2. Solve word problems involving dissimilar
fractions.
Reference
:
Using Math in This Millennium 5
Author/s
:
Adele C. Villamayor
CONCEPT NOTES :
To add mixed number with different denominators:
a. Find the least common denominator of the given fractions.
b. Change the fraction to similar fractions
o Divide the LCD by the denominator.
o Multiply the quotient and the numerator.
o Write the product as the new numerator.
c. Copy the whole number.
d. Add the numerators and write the sum over the common
denominator/ LCD. Then add the whole numbers.
e. Express the sum in its simplest form, if possible.
Example:
a. Get the LCD.
1
!
b. Change to similar fraction.
c. Copy the whole number.
!
𝟏𝟎
=
1
=1
!
𝟏𝟐
!
𝟏𝟐
+ + !
!
𝟑
3
=
3
= 3
!
𝟏𝟐
!
𝟏𝟐
____________________ __________________ d. Add.
1
!
=
1
!"
!
!"
+ + !
!
3
= 3
!
!"
_____________________________ d. simplify. !"
!
4 or
5
!"
!"
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus, Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 11
TYPES OF ACTIVITY: Problem Solving
Name______________________________________________Score___________Grade &
Section______________________________________Date___________
TOPIC
:
Word Problems
LEARNING OBJECTIVES :
1. Solve word problems involving fractions.
Reference
:
Realistic Math
Author/s
:
Paulino T. Gureng
CONCEPT NOTES :
Ø When solving word problem, follow these four steps:
• THINK - Identify the given facts and what is asked in
the problem.
•
•
•
PLAN
- Determine the unknown data if there is any;
Specify the operation and the equation to be used to solve
the problem.
SOLVE - Carry out the plan. Solve the equation.
LOOK BACK – Check and label the answer.
Pasig Catholic College
Grade School Department
PCC @ 103: Be with Jesus , Be with the Poor
S.Y. 2015 – 2016
Math 5
SECOND QUARTER
DLA No. 12
TYPES OF ACTIVITY: Skill Development
Name______________________________________________Score___________Grade &
Section______________________________________Date___________
TOPIC
:
Subtraction of Similar Fractions
LEARNING OBJECTIVES :
1. Subtract fractions with like denominators.
2. Solve word problems involving subtraction
of fraction.
Reference
:
Conceptual Math
Author/s
:
Roy Aarlo L. Advincula
CONCEPT NOTES :
Ø To subtract similar fraction, Subtract the numerators and copy the common
denominator. Reduce the answer to simplest form if possible.
Example:
Subtract
!
!
!
!
—
—
!
!
!
!
=
=
( ! !! )
!
( ! !! )
!
=
=
Reduce to simplest term
!
!
!
!