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$: Pasig Catholic College Grade School Department PCC @ 103: Be …pccgrade5.weebly.com/uploads/3/7/5/6/37562745/... · 2018-09-10 · fraction and sometimes called mixed fraction. Example:$
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 ) = 17

5 5

Mixed Number 3 !! =

!"!

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.

!!!

= ___5___ = 5 𝟏𝟐

2 / 11 10_ 1

Improper Fraction !!! = 5

!! Mixed Number





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 !

! = !

! , !

! x !

! = !"

!"

!

! is equivalent to !

! , !"

!" ,..

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)

!! !"

!"



Math 5


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

!! =

!"!"

30 ÷ 5 = 6 x 4 = 24

Dissimilar fractions !! and !

! changed to similar fractions

!"!" and

!"!"





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.

!!"

= !"!"

( 30 ÷ 10 x 7 = 21)

!

! =

!"!"

( 30 ÷ 6 x 5 = 25 )

!

! =

!"!"

( 30 ÷ 5 x 3 = 18 )

Since !"!"

< !"!" < !"

!" , then ordering the fractions from least to

greatest we have !! , !

!" , !

!



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:

𝟗𝟏𝟓

The GCF of 9 and 15 is 3.

!!"

= !!"

÷ 𝟑𝟑 =

!!

Therefore, !!"

when reduce to lowest terms is !!



S.Y. 2015 – 2016


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 : Experiencing Math 5 Author/s : Manuel M . Mallari

CONCEPT NOTES : Ø Similar fractions have the same denominators. Ø 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 !!"

+ !!" = 12 410 or 12

!!




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

!! =

𝟏𝟐

!! = 𝟗

𝟏𝟐 (12 ÷ 4 x 3 = 9)

+ +

!! =

𝟏𝟐

!! = 𝟖

𝟏𝟐 (12 ÷ 3 x 2 = 8)

____________________ __________________ c. Add.

!! =

!!"

+

!! = !

!"

______________________ d. simplify.

!"!"

or 1 !!"



S.Y. 2015 – 2016


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. b. Change to similar fraction. c. Copy the whole number.

1 !! =

𝟏𝟐 1 !

! = 1 𝟏𝟎

𝟏𝟐

+ +

3 !! =

𝟏𝟐 3

!! = 3 𝟑

𝟏𝟐

____________________ __________________ d. Add.

1 !! = 1

!"!"

+ +

3 !! = 3

!!"

_____________________________ d. simplify.

4 !"!"

or 5 !!"



S.Y. 2015 – 2016


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.


PCC @ 103: Be with Jesus , Be with the Poor S.Y. 2015 – 2016

Math 5


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 !!

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