MATHEMATICS

QUARTER 1
Week 6

Capsulized Self-Learning
Empowerment Toolkit

Schools Division Office of Zamboanga City

Region IX, Zamboanga Peninsula
Zamboanga City

“Unido, Junto avanza con el EduKalidad Cree, junto junto puede!”

Esther Sandel M. Sayson

SPET I
Catalina Vda. De Jalon Memorial School
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SUBJECT &
GRADE LEVEL MATHEMATICS 2
QUARTER FIRST WEEK 6 DAY dd/mm/yyyy
⚫ Properties of Addition
⚫ Visualizing, representing and adding 2-digit by 3-digit
numbers with sums up to 1,000 without regrouping and
TOPIC with regrouping.
⚫ Visualizing, representing and adding 3-digit by 3-digit
numbers with sums up to 1,000 without regrouping and
with regrouping
The learner illustrates the properties of addition and applies each
in appropriate and relevant situations (M2Ns-Ig-26.3)

The learner visualizes, represents and adds 2-digit by 3-digit

LEARNING numbers with sums up to 1,000 without regrouping and with
COMPETENCY regrouping (M2NS-Ig-27.4.1, 4.2)

The learner visualizes, represents and adds 3-digit by 3-digit

numbers with sums up to 1,000 without regrouping and with
regrouping (M2NS-Ig-27.4.3, 4.4)

IMPORTANT: Do not write anything on this material. Write your answers on separate
sheets.

UNDERSTAND
Lesson 1. Properties of Addition

A Illustrating the Properties of Addition

We can use pictures of objects to illustrate the properties of addition. There are three
properties of addition. Let us read and study them.

1. Commutative Property of Addition tells that changing the order of the

addends neither affects nor changes the sum.

Example

Tom’s mother got

home from the How many eggs
market. Tessa bought did mother Tesa
12 eggs in a tray and buy?
another 6 eggs in a
tray. 12 + 6 = 18 eggs

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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Tom helped his How many eggs

mother arrange the are there after
groceries. He Tom grouped the
separated the eggs eggs?
into 2 groups: 6 eggs
and 12 eggs. 6 + 12 = 18 eggs

⚫ Did the sum of the eggs change when Tom grouped them? (No).

Take note that when the order of the addends is changed, the sum stays the same.
This is the Commutative Property of Addition.
Other example: 24 + 13 = 37 13 + 24 = 37
or
24 + 13 = 13 + 24
37 = 37

2. Associative Property of Addition tells that changing the order of the

addends does not affect nor change the sum.

⚫ How many foods did Tom put in the refrigerator?

To find the total number, add 12 + 7 + 6
(12 + 7) + 6 or 12 + (7+6)
19 + 6 = 25 12 + 13 = 25
⚫ What did you observe in the number sentences? (The grouping of the addends
changed.)
⚫ Did the grouping change the sum? (No, it did not change the sum.)

Take note that in Associative Property of Addition, changing the order of the
addends does not change the sum.

Other example: (22+26)+10 = 22+(26+10)

48 + 10 = 22 + 36
58 = 58

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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3. Identity Property of Addition tells that any number added to zero gets
the same number as the sum.

Example: Here’s what Tom had for recess.

⚫ How many healthy snacks did Tom have for recess? (Three healthy snacks.)
⚫ How many junk foods did Tom have for recess? (Zero)
⚫ How many snacks did Tom have in all? (Three)
⚫ How did we get the sum? (Add 3+0 and the sum is 3.)
⚫ What do you get when you add a number to a zero? (The number itself. )
Take note that the sum of any number and zero is the same number. This is what we
call the Identity Property of Addition.
Other examples:
56 + 0 = 56 10
+ 0
10

Let’s Practice! (Write your answers on separate sheets.)

ACTIVITY
TERM 1
Directions: Study the illustrations. Identify what property of addition that is shown on
the illustrations. Write your answers on the space provided.

1.
0 + 18 = 18
________________________

2. 4+3=3+4
7 = 7
SET A SET B

________________________

3. ( 24+6)+12 or 24+(6+12)
30 +12=42 24+ (18)=42

________________________

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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REMEMBER
Key Points

Read aloud.
⚫ We can use pictures of objects to illustrate the properties of addition.

⚫ Commutative Property of Addition – changing the order of the addends does

not change the sum.
⚫ Associative Property of Addition – changing the grouping of the addends does
not change the sum.
⚫ Identity Property of Addition - the sum of a number and zero is the number
itself.

TRY
Let’s see how much you have learned today!

General Directions: Study the following assessments carefully and write your
answers on separate sheets.

Assessment 1.
Directions: Encircle the letter of the correct answer.

1.) Which property of addition is shown in the illustration?

A. Associative Property of Addition C. Identity Property of Addition
B. Commutative Property of Addition

2.) What number sentence applies to the illustration?

A. 5+(3+5) = (5+3)+5 B. 0+8=8 C. 5+3 = 3+5

8=8
3.) Which of the following shows the Identity Property of Addition?
A. 12+25 = 25+12 B. 43 + 0 = 43 C. 4 + (6+3) = (4+6) +3

4.) What number is missing to make the addition sentence true? 0 +____ = 35

A. 35 B. 0 C. 350
22+11 = 11+22
5.) What property of addition is shown? 33 = 33
A. Commutative Property of Addition C. Identity Property of Addition
B. Associative Property of Addition

Assessment 2.
Directions: Complete each addition sentence and write before each number on the
space provided; CP for Commutative Property of Addition, AP for Associative
Property of Addition, IP for Identity Property of Addition.

__________1.) 5 + ( _____ + 16) = (5 + 10) + 16

__________2.) 44 + 3 = _____ + 44

__________3.) (9 + 8) + 7 = 9 (_____ + 7)

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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__________4.) _____ +75 = 75

__________5.) 60 + _____ = 24 + 60

Assessment 3.
Directions: Using the Commutative Property of Addition, change the order of the
addends and find the sum.

1.) 19 + 25 = _____ 2.) 48 + 51 = _____

____+____ = _____ ____+____ = _____

Directions: Complete the number sentence using the Associative Property of

Addition.

1.) (24+15)+10 = 24 (15+10) 2.) 20+(10+30) = (20+10)+30

____ +____=____+____ ____+____ = ____ + ____

____=____ ____=____

Directions: Write the missing number for the Identity Property of Addition.

1.) 39 + 0 = ____ 2.) ____+ 56 = 56 3.) 82 + 0 =____

Lesson 2. Visualizing, representing and adding 2-digit by 3-digit numbers with

sums up to 1,000 without regrouping.

B How do we visualize and represent addition of 2-digit by 3-digit

numbers with sums up to 1,000 without regrouping?
We can visualize, represent and add 2-digit by 3-digit numbers by using pictures,
shapes or flats, longs and units.
Let us read and study the example below.

Tom’s Uncle Robert has a

mango farm. He visited his Uncle
because he wanted to learn more
about his farm. He asked his
uncle to teach him how to harvest
mangoes.
Tom helped in the harvest
and got 121 big mangoes and 25
small mangoes.

1. Where did Tom go?

2. Who helped in harvesting mangoes?
3. If you were Tom, will you also like to learn new things like how to harvest fruits?
Why?
4. How many big and small mangoes did Tom harvest in all? Can you visualize,
represent and add 2-digit by 3-digit numbers without regrouping?

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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Tom harvested 121 and 25 big and small mangoes. The number sentence is 121 +
25.

We can visualize, represent and add 2-digit by 3-digit numbers without regrouping in
the illustration below.

Hundreds Tens Ones

Tom’s
harvest

Expanded 1 hundreds + 4 tens + 6 ones

We add all the mangoes starting at the ones, the ten then the hundreds column.
How many mangoes are there in the ones column? (6 ones)
How many mangoes are there in the tens column? (4 tens)
How many mangoes are there in the hundreds column? (1 hundreds)

Therefore, Tom harvested 146 mangoes in all.

In adding 2-digit by 3-digit without regrouping and without a model or

illustration, there are steps to follow.

The number sentence is 121 + 25.

121
Arrange the addends in vertical column.
+ 25

Step 1 Step 2 Step 3

Begin at the right.
Add the ones Add the tens Add the hundreds
Bring down the number in
hundreds place

121 121 121 121

+ 25 + 25 + 25 + 25
6 46 146

Therefore, Tom harvested 146 mangoes in all.

Lesson 3. Visualizing, representing and adding 2-digit by 3-digit numbers with
sums up to 1,000 with regrouping.

C How do we visualize and represent addition of 2-digit by 3-digit

numbers with sums up to 1,000 with regrouping?

We usually visualize, represent and add 2-digit by 3-digit numbers with regrouping by
using flats, longs and units. We can also use pictures or shapes.

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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Let us read and study the example below.

Uncle Robert has a mango

farm. When his nephew, Tom visited
him, he taught him about trees. He
shared that trees have roots, a
trunk, branches and leaves. The
roots anchor the tree and get water
and nutrients from the soil. Trees
prevent flood and they provide
shade from the sun too. He also
taught and showed Tom how to
harvest mangoes.

Uncle Robert harvested 138

yellow mangoes and 86 green
1. Who taught Tom about trees? mangoes.
2. How do trees grow?
3. How can trees help the environment and the people?
4. How many mangoes did Tom’s uncle harvest in all? Can you visualize,
represent and add 2-digit with 3-digit numbers with regrouping?

Uncle Robert harvested 138 yellow and 86 green mangoes.

The number sentence is 138 + 86.
We can visualize, represent and add 2-digit by 3-digit numbers with regrouping as
shown on the illustration below.

100 10 1

Hundreds Tens Ones Add the units. There are 14 units in

(flats) (longs) (units) all.
Uncle’s
harvest 10 units make 1 long, regroup 14
units as 1 long and 4 units.

Carry over the 1 long in the tens

column. Bring down 4 units below the
ones column.

Next, add the longs plus the 1 long

that was carried from the units.

There are 12 longs in all.

10 longs make 1 flat, regroup 12

longs as 1 flat and 2 longs.

Lastly, add the flats plus the 1 flat that was Carry over the 1 flat in the hundreds
carried from the longs. There are 2 flats in column. Bring down 2 longs below
all the tens column.

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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sum

Expanded 200 20 4

Therefore, Tom’s uncle harvested 224 mangoes in all.

In adding 2-digit by 3-digit with regrouping without a model or illustration,
there are steps to follow.
The number sentence is 138 + 86.
138
Arrange the addends in vertical column. + 86
Step 1
Add the ones

1 8+6 = 14
138 138 Regroup 14 as 1 tens and 4 ones
+ 86 + 86 Write the 4 in the ones column and carry over the digit 1 in the
4 tens column
Step 2
Add the tens

11 1+3+8 = 12
138 Regroup 12 as 1 hundreds and 2 tens
+ 86 Write the 2 in the tens column and carry over the digit 1 in the
24 hundreds column
Step 3
Add the hundreds

11 1+1 = 2
138 Bring down 2 in the hundreds column
+ 86
224
Therefore, Tom’s uncle harvested 224 mangoes in all.

Let’s Practice! (Write your answers on separate sheets.)

ACTIVITY
TERM 1
Directions: Write the addition sentence for each illustration and find the sum. Write
your answer inside the box beside each picture.

1.)

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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2.)

3.)

ACTIVITY
TERM 2
Directions: Write the addition sentence for each illustration and find the sum. Write
your answer inside the box beside each picture.

1.)

2.)

3.)

REMEMBER
Key Points

⚫ We can visualize, represent and add 2-digit by 3-digit numbers without regrouping
by using pictures, shapes or flats, longs and units.

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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⚫ To get the sum of 2-digit by 3-digit numbers without regrouping, arrange the
addends in vertical column. Start adding at the right. Add the ones, then the tens,
and the hundreds. Then, bring down the number in hundreds place.
⚫ We can visualize, represent and add 2-digit by 3-digit numbers with regrouping by
using flats, longs and units. We can also use pictures or shapes.
⚫ To get the sum of 2-digit by 3-digit numbers with regrouping, arrange the addends
in a vertical column then begin adding at the right.
⚫ Add the ones, then the tens and the hundreds place. Regroup the ones and/or
tens and/or in the hundreds place if needed, then add.

TRY
Let’s see how much you have learned today!
General Directions: Study the following assessments carefully and write your
answers on separate sheets.

Assessment 1.
Directions: Find the sum. Encircle the letter of the correct answer.
1.) 925 A.) 989 B.) 978 C.) 965
+ 53
2.) 532 A.) 588 B.) 577 C.) 578
+ 46
3.) 822 A.) 879 B.) 865 C.) 889
+ 43
4.) 233 A.) 266 B.) 275 C.) 289
+ 33
5.) 868 A.) 878 B.) 887 C.) 899
+ 31

Assessment 2.
Directions: Add the following number sentences.

1.) 395 2.) 745 3.) 296 4.) 648 5.) 495
+ 62 + 82 + 75 + 47 + 86

Assessment 3.
Directions: Choose the letter of the correct answer and write it on the space
provided.
______1.) Which number sentence represents the illustration inside the box?

A. 575 B. 464 C. 564

+ 43 + 34 + 24
618 498 588

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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______2.) What is 512 + 52 equal to?

A. 574 B. 544 C. 564

______3.) Which has the sum of 673?

A. 631 B. 625 C. 631
+ 42 + 48 + 42

______4.) Add 732 + 56.

A. 818 B. 788 C. 717

______5.) Which shows the sum of 867?

A. 822 B. 884 C. 895
+ 45 + 44 + 43

Lesson 4. Visualizing, representing and adding 3-digit by 3-digit numbers with

sums up to 1,000 without regrouping.

D How do we visualize and represent addition of 2-digit by 3-digit

numbers with sums up to 1,000 without regrouping?

We can visualize, represent and add 3-digit by 3-digit numbers by using pictures,
shapes or flats, longs and units.

Let us read and study the example below.

During the Covid-19

pandemic, people spend most of
their time at home. Stocking of
food is important. Tom’s mother
decided to start a vegetable
garden. Mother asked Tom and
his sister Kath to help out in
gardening.
Mother and the kids planted 142
and 235 different vegetable seeds
in their backyard.

1. Who helped mother in their vegetable garden?

2. Why did mother decide to start a vegetable garden in their backyard?
3. What are the benefits of gardening especially during the Corona virus
pandemic?
4. How many vegetable seeds did they plant in their backyard? Can you visualize,
represent and add 3-digit by 3-digit numbers without regrouping?
Mother and the kids planted 142 and 235 vegetable seeds. The number sentence is
Can you visualize, represent and add the addition of these number sentences?
142+235.

We can visualize, represent and add 3-digit by 3-digit numbers without regrouping in
the illustration below.
Hundreds Tens Ones

Vegetable
seeds that

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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mother and
the kids
planted.

Expanded 300 + 70 + 7

We add all the seeds starting at the ones, the tens and lastly at the hundreds column.
How many seeds are there in the ones column? 7
How many seeds are there in the tens column? 7 tens
How many seeds are there in the hundreds column? 3 hundreds
Therefore, mother, Tom and Kath planted 377 vegetable seeds in all.

In adding 3-digit by 3-digit without regrouping without a model or illustration,

there are steps to follow.

The number sentence is 142 + 235

142
Arrange the addends in vertical column. + 235

Step 1 Step 2 Step 3

Begin at the right.
Add the ones Add the tens Add the hundreds
Bring down the number in
hundreds place

142 142 142 142

+ 235 + 235 + 235 + 235
7 77 377
Therefore, mother, Tom and Kath planted 377 vegetable seeds in all.

Lesson 5. Visualizing, representing and adding 3-digit by 3-digit numbers with

sums up to 1,000 with regrouping.

E How do we visualize and represent addition of 3-digit by 3-digit

numbers with sums up to 1,000 with regrouping?

We can visualize, represent and add 3-digit by 3-digit numbers with regrouping
usually by using flats, longs and units. We can also use pictures of objects.
Let us read and study the example below.

During the Covid-19 pandemic,

children are not allowed to go
out. Tom and his sister Kath
helped their mother in their
vegetable garden. They also
gave out seeds to their
neighbors.
On the first day, they gave 165
vegetable seeds to their
neighbors then 257 vegetable
seeds on the second day.

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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1. Who gave vegetable seeds to their neighbors?

2. How can the vegetable seeds help their neighbors?
3. Will you also help in gardening? Why?
4. How many seeds did they give to their neighbors? Can you visualize, represent
and add 3-digit by 3-digit numbers with regrouping?

Mother and the kids gave 165 vegetables seeds on the first day and 257 vegetable
seeds on the second day. The number sentence is 165 + 257.

We can visualize, represent and add 3-digit by 3-digit numbers with regrouping in the
illustration below.

100 10 1

Hundreds Tens Ones

(flat) (long) (unit)
Add the units. There are 12 units in
all.

10 units make 1 long, regroup 12

units as 1 long and 2 units.

Carry over the 1 long in the tens

column. Bring down 2 units below
the ones column.

Next, add the longs plus the 1 long

that was regrouped from the units.

There are 12 longs in all.

10 longs make 1 flat, regroup 12

longs as 1 flat and 2 longs.

Regroup the 1 flat to the hundreds

column. Bring down 2 longs below
the tens column.

Lastly, add the flats plus the 1 flat

sum that was regrouped from the longs.

There are 4 flats in all

Expanded 400 20 2

Therefore, Mother, Tom and Kath gave 422 seeds to their neighbors in all.

In adding 3-digit by 3-digit with regrouping without a model or illustration,

there are steps to follow.

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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The number sentence is 165 + 257

165
Arrange the addends in vertical column. + 257

Step 1
Add the ones

1 5+7 = 12
165 165 Regroup 12 as 1 tens and 2 ones
+257 + 257 Write the 2 in the ones column and regroup the digit 1 in the
2 tens column
Step 2
Add the tens

11 1+6+5 = 12
165 Regroup 12 as 1 hundreds and 2 tens
+ 257 Write the 2 in the tens column and regroup the digit 1 in the
22 hundreds column
Step 3
Add the hundreds

11 1+1+2 = 4
165 Write 4 in the hundreds column
+257
422
Mother, Tom and Kath gave 422 seeds to their neighbors in all.

SAQ-1: What are the Properties of Addition?

SAQ-2: How do we visualize and represent addition of numbers with and without
regrouping?
SAQ-3: What are the steps in adding numbers with regrouping?

Let’s Practice! (Write your answers on separate sheets.)

ACTIVITY
TERM 1
Directions: Write the addition sentence for each illustration and find the sum. Write
your answer inside the box beside each picture.

1.)

2.)

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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3.)

ACTIVITY
TERM 2
Directions: Add the following.

4.) 458 5.) 468

+ 444 + 346

REMEMBER
Key Points
⚫ We can visualize, represent and add 3-digit by 3-digit numbers without regrouping
by using pictures, shapes or flats, longs and units.
⚫ To get the sum of 3-digit by 3-digit numbers without regrouping, arrange the
addends in vertical column. Start adding at the right. Add the ones, the tens, and
the hundreds.
⚫ We usually visualize, represent and add 3-digit by 3-digit numbers with regrouping
by using flats, longs and units. We can also use pictures of objects.
⚫ To get the sum of 3-digit by 3-digit numbers with regrouping, arrange the addends
in vertical column then begin adding at the right.
⚫ Add the ones, then the tens and the hundreds place. Regroup in the ones and/or
tens and/or in the hundreds place value if needed, then add.

TRY
Let’s see how much you have learned today!
General Directions: Study the following assessments carefully and write your
answers on separate sheets.

Assessment 1.
Directions: Find the sum. Encircle the letter of the correct answer.
1.) 352 A.) 699 B.) 578 C.) 599
+ 247
2.) 245 A.) 898 B.) 889 C.) 798
+ 653
3.) 513 A.) 788 B.) 798 C.) 797
+ 285
4.) 425 A.) 837 B.) 826 C.) 737
+ 312
5.) 621 A.) 823 B.) 932 C.) 922
+ 311

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School

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Assessment 2.
Directions: Add the following number sentences.
1.) 479 2.) 368 3.) 657 4.) 239 5.) 686
+ 427 + 453 + 183 + 588 + 273

Assessment 3.
Directions: Choose the letter of the correct answer and write it on the space
provided.
______1.) Which number sentence represents the illustration below?

A. 444 B. 435 C. 446

+ 423 + 334 + 334
______2.) Which has the sum of 795?
A. 443 B. 752 C. 343
+ 352 + 143 + 443
______3.) What is 264 + 512 equal to?
A. 761 B. 771 C. 776
______4.) Add 512 and 433.
A. 845 B. 945 C. 935
______5.) Which shows the sum of 486?
A. 332 B. 245 C. 283
+ 154 + 231 +213

Ma.Laarni T,Villanueva, et.al., Mathematics 2 Teacher’s Guide, Pasig City,

Vibal Publishing House, Inc. 2013, 1-14, 81-86.
REFERENCE/S
Ma.Laarni T,Villanueva, et.al., 2013 Learner’s Material, Pasig City, Vibal
Publishing House, Inc. 2013, 1-14, 89-92.
This learning resource (CapSLET) contains copyrighted materials. The
use of which has not been specifically authorized by the copyright owner.
We are developing this CapSLET in our efforts to provide printed and e-
copy learning resources available for our learners in reference to the
DISCLAIMER
learning continuity plan of this division in this time of pandemic.
This CapSLET is not intended for uploading nor for commercial use.
This will be utilized for educational purposes only by DepEd, Zamboanga
City Division.
LEARNING RESOURCE DEVELOPMENT TEAM
ESTHER SANDEL M. SAYSON
WRITER
SPET I, Catalina vda de Jalon Memorial School
ERWIN G. DELORIA
ILLUSTRATOR
Teacher III, Pasonanca Elementary School
LAYOUT ARTIST AILEEN I. YABO
Yvonne C. Ayaay
LEARNING TEAM / Maribel F. Bernardo
Rirose F. Macrohon
EVALUATORS Antonieta A. Cansilan
Joseph C. Luania
MANAGEMENT AND Dr. Roy C. Tuballa, CESO VI Dr. Mildred D. Dayao
SPECIALIST Dr. Oliver B. Talaoc Dr. Vilma A. Brown

“Unido, Junto avanza con el EduKalidad Cree, junto junto puede!”

Esther Sandel M. Sayson, SPET I, Catalina Vda. De Jalon Memorial School