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Nothing at All-Bluff

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Unit 2 Addition of Whole Numbers
(Illus: fruit stall a girl holding apples & mangoes)

Lesson 1 Concept of Addition
(Icon) Presentation
Vilma bought 3 apples and 4 mangoes. How many fruits did she buy in all?
To find the answer,add 3 and 4. 1. Addition using Sets

How many apples are there? _________________
How many mangoes are there? _______________
How many fruits are there in all? ___________________
When you put the two sets of fruits together, we will have 7 fruits in all. plus sign
The addition sentence for this is 3 + 4 = 7 sum addends addends The addition sentence can also be written as: 3 + 4 plus sign 7 sum 2. Addition Using the Number Line

When you add numbers using the number line, count the total numbers of steps together. Plus sign 3 + 4 = 7 sum addends
(Icon)Focus
* Addition is the process of putting sets or objects together. * The addends are the numbers to be added. * The sum or total is the answer in addition. * The plus sign (+) is the symbol used for addition. Example: plus sign 3 + 4 = 7 sum Addends
(Icon)Classwork
Activity 1 A. Write the correct sum.

1. 5 + 5 =

2.

8 + 7 =

3. 5 + 6 = 4.

9 + 3 =

5.

4 + 5 =

B. Use the number line to add the numbers. Write the correct sum in the box.

1. 4 + 2 =

2. 3 + 5 =

6 + 3 =
3.

4. 8 + 2 =

5 + 4 =
5.

Activity 2
Writing the missing numbers on the blanks.

1. Illus: 6 cups 7 cups
_____ + _____ = ______ 2. Illus: 4 spoons 8 spoons
_____ + _____ = ______

3. Illus: 9 glasses 5 glasses
_____ + _____ = ______

4. Illus: 8 plates 7 plates
____ + _____ = ______

5. Illus: 5 stars 7 stars
_____ + _____ = _____

6. Illus: 8 triangles 9 triangles
_____ + _____ = ______

7. Illus: 5 rectangle 8 rectangle
_____ + _____ = _______

8. Illus: 9 square 7 square
_____ + _____ = ______

9. Illus: 6 banana 6 banana
_____ + _____ = ______

10. Illus: 4 balloons 7 balloons
_____ + _____ = ______
Activity 3 A. Encircle the correct sum. 1. 11 12 13 1314
7 + 6 = 2. 16 17 18 14
8 + 9 =
10 11 12 14

3. 6 + 5 =
13 14 15 14

4. 8 + 7 =
17 18 19

5. 9 + 9 =

B. Find the sum. 1. 5 2. 2 3. 9 4. 7 5. 3 4 8 1 4 8
+ 7 + 6 + 5 + 2 + 7
____ _____ ______ _____ ______
(Icon) Home Task A. Color the box if the sum is correct. 1. 8 + 2 = 10

2. 3 + 9 = 11

3. 6 + 6 = 12

4. 2 + 7 = 9

5. 5 + 8 = 13

B. Answer the following: 1. The sum of 7 + 6 is ____________. 2. What is the sum of 8 and 4? ___________ 3. 9 added to 5 equals __________ 4. What number is equal to 10 plus 3? ____________ 5. What is the sum of 8 and 9? ______________

(Icon) Enrichment Activity
Find the missing numbers to make a sum of 15.
Illus: draw a rainbow and put this numbers inside
2 + ____ + ____ + ____ 1 = 15

Lesson 2 Properties of Addition
(Icon) Presentation
Kian share his secret on how to find the sum of two or more addends easily. He always practice using the three properties of addition. A. Zero or Identity Property of Addition
(illus: basket w/ 12 mangoes and other was an empty basket)
There are 12 mangoes in one basket. There are no mangoes in the other basket. How many mangoes are there in all?
12 + 0 = 12
Any number added to zero gives the same number.
Zero is the identity element of addition.
More examples:
0 + 9 = 9 16 + 0 =16 B. Commutative Order Property of Addition
(illus: playground 5 girls playing & 7 boys playing)
How many girls are there? __5__
How many boys are there? __7__
How many children are there in all? __12__
5 + 7 = 12 or 7 + 5 = 12
You can change the order of addends without changing the sum.
Another example:
9 + 6 = 15 6 + 9 = 15 C. Associative or Grouping Property of Addition
(illus: pls arrange by set: 4 balls & 2 balls + 3 balls)
How many balls do you see? Add them together.
(4 + 2) + 3 or 4 + (2 + 3) 6 + 3 = 9 4 + 5 = 9
You can change the grouping of the addends without changing the sum.
Another example:
10 + (5 + 3) = (10 + 5) + 3 10 + 8 = 15 + 3 18 = 18 * The identity or zero property of addition states that when a number is added to zero, the sum is always the number zero (0) is the identity element of addition. * The commutative or order property of addition states that changing the order of the addends does not change the sum. * The associative or grouping property of addition states that changing the grouping of the addends does not change the sum.

(IconFocus

(Icon) Classwork
Activity 1 A. Fill in the blank with the correct number to make each addition sentence correct. 1. 18 + ___ = 18 2. 9 + 5 = ___ + 9 3. (7 + 6) + 4 = 7 + 6 (6 + ___) 4. ___ + 0 = 10 5. 3 + ___ = 8 + 3 B. Find the sum. 1. 2. 3. 4. 5.
Activity 2 A. Fill in the blanks with the missing numbers. Use the commutative property of addition.
Example:

1. 2.

3. 4.

5.

B. Fill in the blanks with the missing numbers. Use the associative property of addition.
Example: (3 + 5) + 4 = 3 + (5 + 4) 8 + 4 = 3 + 9 12 = 12

1. 6 +(2 + 5) = (6 + 2) + 5 ___ + ___ = ___ + ___ ___ = ___

2. (8 + 4) + 3 = 8 + (4 + 3) ___ + ___ = ___ + ___ ___ = ___

3. 2 + (9 + 4) = (2 + 9) + 4 ___ + ___ = ___ + ___ ___ = ___

4. (7 + 1) + 6 = 7 + (1 + 6) ___ + ___ = ___ + ___ ___ = ___

5. 3 + (8 + 5) = (3 + 8) + 5 ___ + ___ = ___ + ___ ___ = ___

Activity 3
Find the missing numbers. Then identify the property of addition shown. Write identity, commutative, and associative on the blanks.
______________1. 12 + 0 =___
______________2. 8 + 9 = 9 + ___
______________3. 7 + (6 + 5) = (7 + ____) + 5
______________4. (10 + 13) + 15 = ____ + (13 + 15)
______________5. 11 + ____ = 14 + 11
______________6. ___ + 25 = 25
______________7. 18 + ____ = 16 + 18
______________8. (___ + 19) + 20 = 16 + (19 + 20)
______________9. 0 + 118 = _____
_____________10. 21 + ____ = 24 + 21
(Icon) Home Task A. Write the property of addition used in each addition sentence. 1. 175 + 0 = 175 _____________________ 2. 99 + 102 = 102 + 99 _____________________ 3. (27 + 32) + 45 = 27 + (32 + 45) ______________________ 4. 0 + 236 = 236 ______________________ 5. 178 + 165 = 165 + 178 ______________________ B. Draw a on the blank if the addition sentence is correct. Draw a if it is wrong.
_____1. 48 + 15 = 15 + 48
_____2. 136 + 0 = 1360
_____3. 25 + (30 + 55) = (25 + 30) + 50
_____4. 0 + 722 = 722
_____5. 192 + 116 = 116 + 192
(Icon) Enrichment Activity A. What is the sum of the set of objects. Apply the commutative property of addition. Then color each set of objects correctly.
(Illus: set of 7 trees) (illus: 8 flowers)
_____ + _____ = ____ + ____ _____ = ____

B. Find the sum of the sets of objects. Apply the associative property of addition. Then color each sets of objects correctly.
(illus: set of 5 apples) (illus: set of 4 mangoes) (illus: set of 6 oranges) ___ + ___ + ___ = ___ + ___ + ___ ___ + ___ = ___ + ___ ___ = ___

Lesson 3 Addition with Sum up to 18

(Icon) Presentation
Count the number of flowers in the picture.
How many flowers are there in all?
(illus: 5 sets of flowers + 4 sets of flowers = 9 flowers)

Study the chart below.
4
It shows all the addition facts with sum through 10. + | 0 | 1 | 2 | 3 | | 5 | 6 | 7 | 8 | 9 | 10 | 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | 2 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | | 3 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | | | 5
4 | 4 | 5 | 6 | 7 | 9
8 | 9 | 10 | | | | | | 5 | 6 | 7 | 8 | | 10 | | | | | | 6 | 6 | 7 | 8 | 9 | 10 | | | | | | | 7 | 7 | 8 | 9 | 10 | | | | | | | | 8 | 8 | 9 | 10 | | | | | | | | | 9 | 9 | 10 | | | | | | | | | | 10 | 10 | | | | | | | | | | |

5 added to 4 equals 9
5 + 4 = 9 Therefore, there are 9 flowers in all.
Here are other examples: 1. 7 added to 3 equals 10 2. 2 added to 4 equals to 6 7 + 3 = 10 2 + 4 = 6
You can add two numbers with sums of 11 to 18 by breaking up a number to form a 10.
Examples: Steps: 1. 6 5 5 1. Split 6 to 5 and 1
+ 9 1 + 10 2. Add 1 to 9 to make 10 15 3. Then find the sum.

2. 5 3 3 Steps: + 8 2 + 10 1. Split 6 to 5 and 1 13 2. Add 2 to 8 to make 10 3. Then find the sum
Another way to add the numbers with the sum of more than 10.
Look at the addition sentence below.
All of them have sums of more than 10.

(Icon) Focus
Splitting or breaking up an addend to form a 10 is one way of adding numbers easily.
The greatest sum you can get by adding two one-digit numbers is 18.

(Icon) Class work
Activity 1
Fill in the blanks with numbers to make the addition sentences true. 1. 2. ____ + 9 = 12 3. 7 + ____ = 11 4. 0 + ____ = 10 5. ___ + 8 = 13 6. 5 + ___ = 14 7. 6 + ___ = 10 8. 7 + ___ = 15 9. ____ + 9 = 18 10. ___ + 8 = 16 11. 9 + ___ = 17

Activity 2
Add. Use the breakdown method.
2
5 Example: 8 10 + 7 + 5 1
4
6
1
2
3
2
1
3
3
7
1
8
1
7
1
4
1
4
2

1. 5 2. 7 3. 8 + 6 _____ + 9 _____ + 5_ ______

4. 3 5. 7 6. 8 + 9_ _____ + 6_ ______ + 9_ _____

7. 9 8. 8 9. 5 + 9_ ______ + 9__ ______ + 9_ ______

10. 6 + 8__ ______

Activity 3
Find the sum. 1. 2. 12 + 6 = __________ 3. 10 + 8 = __________ 4. 7 + 11 = __________ 5. 13 + 5 = _________ 6. 15 + 3 = _________ 7. 14 + 4 = _________ 8. 9 + 9 = _________ 9. 16 + 2 = ________ 10. 1 + 17 = _______ 11. 0 + 18 = ______

(Icon) Home Task
Fill in the boxes with numbers to make the addition sentence true. 1. 2. + 9 = 11

3. 6 + = 12

4. 7 + 10 =

5. + 8 = 15

6. 5 + = 13

7. 18 + = 18

8. + 14 = 16

9. 3 + = 14

10. 1 + 17 =

11. + 16 = 18

(Icon) Enrichment Activity
Encircle five more pairs of numbers with the sum of 18. The numbers pairs may be horizontal or vertical. Two pairs of numbers have already been encircled for you. 6 | 12 | 1 | 6 | | 3 | 15 | 3 | 2 | 5 | 4 | 13 | 5 | 6 | 5 | 4 | 7 | 11 | 7 | 8 | 4 | 12 | 8 | 13 | 6 | 3 | 10 | 2 | 4 | 11 | 3 | 4 | 9 | 8 | 1 | 9 | 9 | 2 | 14 | 10 | 7 | 13 | 3 | 6 | 7 | 2 | 3 | 4 | 5 |

Lesson 4 Addition Without Regrouping
(Icon) Presentation
Mother bought 24 kilograms of pork and 32 kilograms of chicken for her daughter’s birthday. How many kilograms of meat did she buy?
(illus: meat market with vendor & customer)

Addition sentence: 24 + 32 = _____.
To get the answer, follow these steps:
Step 1 Add the ones digits. 6
Step 2 Then add the tens digits. 56

Therefore, Mother bought 56 kilograms of meat.
Here are other examples: 1. Add 73 and 25. Tens | Ones | +
7 | 3 | 2 | 5 | 9 | 8 | 2. Add 242 and 633. Hundred | Tens | Ones | +
2 | 4 | 2 | 6 | 3 | 3 | 8 | 7 | 5 |

In adding numbers without regrouping, follow these steps: 1. Align the digits of the addends by writing the numbers vertically. 2. Add the ones digits first. 3. Then add the tens digits.

(Icon)Focus
(Icon) Class work
Activity 1
Find the sums. 1. 46 2. 12 3. 84 4. 22 5. 93
+ 32 + 86 + 15 + 57 + 16__

6. 53 7. 76 8. 63 9. 71 10. 18
+ 24__ + 20__ + 33__ + 25__ + 60__

Activity 2 1. 372 2. 425 3. 640 4. 142 5. 429
+ 416_ + 513_ + 128__ + 746__ + 370 6. 254 7. 801 8. 334 9. 675 10. 621 + 703__ + 195__ + 241_ + 321_ + 308_
Activity 3
Add. Look for and box the sum found in the circle.
675 8 557 2 435 9 756 4 897 744
3 943 958 8 739 627 548

1. 523 2. 456 3. 424 4. 362 5. 343 + 221 + 502 + 203 + 313 + 205

6. 7 243 7. 4 508 8. 1 532 9. 2 602 10. 2 324 + 2 513 + 4 231 + 7 025 + 1 341 + 2 573_

(Icon) Home Task

A. Find the sum. Then box the letter of the correct answer.

1. 234 a. 279 b. 297 c. 729
+ 45__

2. 651 a. 587 b. 758 c. 857
+ 206__

3. 538 a. 668 b. 768 c. 876
+ 130__

4. 181 a. 594 b. 459 c. 495
+ 413__

5. 6 125 a. 7 848 b. 8 748 c. 4 878
+ 2 623__

B. Add.

1. 8 029 2. 9 357 3. 5 624
+ 5 370__ + 2 430__ + 7 332__

4. 7 146 5. 4 895 + 3 253__ + 8 103__
(Icon) Enrichment Activity A. Find the missing number to make sums of 10 on each side. Use the number from 1 to 6 once only.
5

3

B. A magic square contains numbers whose sum across any vertical, horizontal or diagonal line are 15.
Use the numbers 1 to 9 only once to complete the magic square.

| | 6 | | 5 | | 4 | | |

Lesson 5 Mental Addition
(Icon) Presentation Mental Addition means adding numbers using paper and pencil. There are techniques or strategies you can use to add numbers mentally with speed and accuracy. 1. Counting On – the most commonly used and easiest method in mental addition
Start with bigger addend and then count up. Example: 4 + 3 = ____
(Start with 4 and then count 5, 6, 7)( 3 counts)
Therefore, 4 + 3 = 7. 2. Doubles: Memorize the doubles of numbers. The answer becomes automatic when they have mastered the doubles. Examples: 3 + 3 = 6 10 + 10 = 20 5 + 5 = 10 8 + 8 = 16 3. Doubles plus 1: Using the doubles of a number and adding 1 to it. Examples: 8 + 9 = 8 + 8 + 1 = 17 6 + 7 = 6 + 6 + 1 = 13 4. Making tens: Break and combine numbers that make a sum of 10. Examples: 7 + 8 = (7 + 3) + 5 = 10 + 5 = 15 4 + 7 = (3 + 7) + 1 = 10 + 1 = 11 5. Using the properties of addition a. The sum is the same if you decompose a number into two or more addends.
Examples: 15 + 8 = 15 + 5 + 3 = 20 + 3 = 24 28 + 6 = 28 + 2 + 4 = 30 + 4 = 34 b. The sum is the same no matter how you group the addends.
Examples: 7 + 2 + 3 + 8 = (7 + 3) + (2 + 8) 20 = 10 + 10 20 = 20 15 + 14 + 5 + 6 = (15 + 5) + (14 + 6) 40 = 20 + 20 40 = 40
(Icon) Focus There are some strategies or techniques in adding mentally that will help in solving addition easier and faster.

(Icon)Class work
Activity 1
Find the sum mentally using the given strategies. A. Counting On

25 + 2 =____
8 + 3 = ___

1. 4. 2. 43 + 6 = __
11 + 5 = __ 5.

3. 9 + 4 = __

B. Using doubles 6 + 6 =____

1. 9 + 9 = ___ 4.

2. 4 + 4 =____ 7 + 7 = ___ 5.

11 + 11 = ___

3.
Activity 2 A. Use the strategy of doubles plus 1 to find the sum. 1. 9 + 10 = 9 + 9 + 1 = 18 + 1 = 19 2. 12 + 13 = _________ = ___________ 3. 5 + 6 = _________ = ___________ 4. 6 + 7 = _________ = ___________ 5. 10 + 11 = _________ = ___________ 6. 13 + 14 = _________ = ___________ B. Solve mentally using the making tens strategy. 1. 9 + = 10 4. 5 + = 10 2. + 7 = 10 5. + 2 = 10 3. 6 + = 10
Activity 3
Use the properties of addition to find the sums mentally. A. 1. 25 + 8 = 25 + 5 + 3 = 30 + 3 = 33_

2. 12 + 9 = 12 + __ + __ = ______ = ___ 3. 16 + 8 = 16 + __ + __ = ______ = ___ 4. 27 + 5 = 27 + __ + __ = ______ = ___ 5. 35 + 8 = 35 + __ + __ = ______ = ___ 6. 14 + 9 = 14 + __ + __ = ______ = ___ B. 1. 7 + 5 + 3 + 5 = (7 + 3) + (5 + 5) = 10 + 10 = _20_ 2. 9 + 2 + 1 + 8 = _________________ = _______ = ____ 3. 4 + 3 + 7 + 4 = _________________ = _______ = ____

4. 8 + 5 + 2 + 3 = _________________ = _______ = ____

5. 4 + 2 + 5 + 6 = _________________ = _______ = ____ 6. 7 + 6 + 3 + 3 = _________________ = _______ = ____

(Icon) Home Task

Use any strategy in finding the sums mentally.
12 + 12
9 + 3

1. = ________ 6. = ________
38 + 7
6 + 9 + 2 + 4

2. = ________ 7. = ________

10 + 4
9 + 3

3. = ________ 8. = ________

4. 8 + 5 + 7 + 2
16 + 7 = ________ 9. = ________

15 + 16
21 + 21

5. = ________ 10. = ________

(Icon) Enrichment Activity
Another method of mental math is the front end strategy.
Front end addition is adding the front-end digits of numbers to the right. This is used for addition without regrouping only. Examples: 22 + 34 123 + 321 20 + 30 = 50 100 + 300 = 400 2 + 4 = 6 20 + 20 = 40 22 + 34 = 56 3 + 1 = 4 400 + 40 + 4 = 444
Use the front-end strategy to find the sum.

1. 53 + 24 2. 36 + 52
___ +____ = ____ ___ +____ = ____
___ +____ = ____ ___ +____ = ____
___ +____ = ____ ___ +____ = ____

3. 61 + 36 4. 234 + 143 ___ +____ = ____ ___ +____ = ____ ___ +____ = ____ ___ +____ = ____ ___ +____ = ____ ___ +____ = ____ ___ +____ +____ = ____ 5. 413 + 526 ___ +____ = ____
___ +____ = ____
___ +____ = ____
___ +____ +____ = ____

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Is Bluffing in Business Ethical?

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