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Math 2
Quarter 1 Week 6
Properties of
Addition
Pagkatapos ng araling ito ay matututunan
mo ang iba’t ibang uri ng properties of
addition (commutative, associative,
identity/zero property of addition).
Matututunan mo rin ang pagdaragdag
gamit ang mga properties of addition.
Gawain sa Pagkatuto Bilang 1:
Ibigay ang kabuoan o sum ng bawat pamilang
na pangungusap. Isulat ang sagot sa iyong
sagutang papel.
1) 2 + 4 = _______
2) 4 + 6 = _______
3) 4 + 2 = _______
4) 6 + 4 = ______
5) 7+ 0 = ______
6) 0 + 7 = ______
7) 3 + 4 + 5 = _____
8) 5 + 6 + 2 = _____
9) 8 + 7 + 3 = _____
Pansinin mo ang iba’t ibang halimbawa na
kung saan hindi nagbago ang sum kahit
pinagpapalit ang puwesto ng addends.
Mapapansin mo na kahit nagpalit ang addends,
hindi nagbago ang sum. Ito ay tinatawag na
Commutative Property
Mapapansin mo na kung ang isang bilang ay
idinagdag sa zero angsagot pa rin ay zero. Ito ay
tinatawag na Identity o Zero Property
Mapapansin mo na may addends na pinangkat ng close at open
parenthesis. Ang total nito ay idinadagdag sa iba pang addend.
Hindinagbabago ang sum o total kahit magbago ang
pagpapangkat ngaddends. Ito ay tinatawag na Associative
Property.
Gawain sa Pagkatuto Bilang 2 :
Paghambingin ang mga pera. Isulat sa sagutang
papel ang simbolo.
15 + = 25
8 + = 12
+ 0 = 20
20 + = 20
+ 10 = 25
1. 2. 4 + 8 =
3.
30 + = 20
5. (13 + 7) + 5 6. 13 + (7 + 5)
+ 0 = 30
4.
Properties of Addition.
Ang Identity o Zero property ay nagpapakita na
ang isang addend ay zero (0). Anumang bilang na
idagdag sa zero, ang kabuoan o sum ay hindi
magbabago.
Ang Commutative Property ay paraan sa addition
kung saan ang mga addends ay maaaring
magpalit ng puwesto subalit hindi pa rin
magbabago ang sum.
Ang Associative Property naman ay binubuo ng tatlo o
mas marami pang addends na kung saan ang 2
addends ay pinapangkat sa pamamagitan ng
panaklong saka idadagdag ang isa pang addends.
Nagpapakita din ito na hindi maaapektuhan ang
kabuoan o sum kahit mabago man ang
pagpapangkat ng dalawang addends.
Gawain sa Pagkatuto Bilang 3:
Tukuyin kung anong property of addition ang
ipinakikita sa pamilang na pangungusap. Isulat
ang sagot sa iyong sagutang papel.
Gawain sa Pagkatuto Bilang 3:
_________________1. 42 + 33 = 33 + 42
_________________2. 35 + 0 = 35
_________________3. 11 + (2 + 5) = (11+2) + 5 = 112
_________________4. (3 + 4)+ 15 = 3 + (4 + 15)= 22
_________________5. 7 + 3 = 3 + 7
Math 2
Quarter 1 Week 4
Addition ng
Numerals na
may Sum
Hanggang 1000
Ang addition ay term na ginagamit sa
pagdaragdag upang malaman ang sum o
kabuoang bilang. Ang mga variables o bilang na
pinagsasama ay tinatawag na addends. Plus sign
( + ) ang simbolo na ginagamit sa addition. Sa
araling ito, ikaw ay inaasahan na
makapagproseso ng addition na may sum
hanggang 1000 gamit ang groupings o walang
groupings.
Gawain sa Pagkatuto Bilang 1 :
Ibigay ang kabuoan o sum. Isulat ang sagot sa
iyong sagutang papel.
Gawain sa Pagkatuto Bilang 1 :
2. 7 5 3
+ 2 2
1. 2 4 2
+ 1 1
1. 5 5 1
+ 3 5
Gawain sa Pagkatuto Bilang 1 :
4. 1 7 6
+ 2 2
5. 8 4 2
+ 2 3 8
Pansinin ang iba’t ibang paraan sa pagsasama-
sama.
Panahon ng anihan ng
mangga kaaya abala si Mang
David. Ilan kaya ang kabuuan
ng mangga na napitas?
Sa pagdaragdag ng 3-digit, maaari nating
gawin ang mgasumusunod na paraan.
4 5 0 400 50 0
+ 2 5 2
0
5
5 = 475
400
70
1. Paggamit ng Expanded Form
2. Paggamit ng place value chart.
• Ayusin ng patayo. Pagtapatin
ayon saplace value ng bilang.
• Pagsamahin ang mga bilang sa
ones,tens, at hundreds.
H T O
4 5 0
2 5
Gawain sa Pagkatuto Bilang 2 :
Punan ang place value chart. Isulat ang sagot sa
iyong sagutang papel.
Hundreds Tens Ones
3 7 5
+2 5
SAGOT:
Hundreds Tens Ones
5 0 6
+ 8 2
SAGOT:
Hundreds Tens Ones
4 3 2
+ 4 2
SAGOT:
Sa pagdaragdag, iayos ang mga bilang
nang magkakatapat at nasa parehong
place value. Kapag ang sagot sa
addends ay 2 - digit numbers, ibaba ang
nasa ones place sa tapat ng mga bilang
na pinagdagdag at itaas ang nasa tens
place sa kasunod na digit. Huwag
kalimutang isama sa pinagdadagdag
ang bilang na itinaas mo.
Gawain sa Pagkatuto Bilang 3:
Pagdadagdag na may pagpapangkat. Isulat
ang sagot sa iyong sagutang papel.
Gawain sa Pagkatuto Bilang 3:
• 4 5 5
+ 2 5
2. 3 3 6
+ 1 4
2. 2 9 2
+ 1 7
Gawain sa Pagkatuto Bilang 3:
4. 2 5 5
+ 3 5
5. 5 3 6
+ 1 6

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Math-2-Week-6-Quarter-1-Properties-of-Addition.pptx

  • 1. Math 2 Quarter 1 Week 6 Properties of Addition
  • 2. Pagkatapos ng araling ito ay matututunan mo ang iba’t ibang uri ng properties of addition (commutative, associative, identity/zero property of addition). Matututunan mo rin ang pagdaragdag gamit ang mga properties of addition.
  • 3. Gawain sa Pagkatuto Bilang 1: Ibigay ang kabuoan o sum ng bawat pamilang na pangungusap. Isulat ang sagot sa iyong sagutang papel.
  • 4. 1) 2 + 4 = _______ 2) 4 + 6 = _______ 3) 4 + 2 = _______ 4) 6 + 4 = ______ 5) 7+ 0 = ______ 6) 0 + 7 = ______ 7) 3 + 4 + 5 = _____ 8) 5 + 6 + 2 = _____ 9) 8 + 7 + 3 = _____
  • 5. Pansinin mo ang iba’t ibang halimbawa na kung saan hindi nagbago ang sum kahit pinagpapalit ang puwesto ng addends.
  • 6. Mapapansin mo na kahit nagpalit ang addends, hindi nagbago ang sum. Ito ay tinatawag na Commutative Property
  • 7. Mapapansin mo na kung ang isang bilang ay idinagdag sa zero angsagot pa rin ay zero. Ito ay tinatawag na Identity o Zero Property
  • 8. Mapapansin mo na may addends na pinangkat ng close at open parenthesis. Ang total nito ay idinadagdag sa iba pang addend. Hindinagbabago ang sum o total kahit magbago ang pagpapangkat ngaddends. Ito ay tinatawag na Associative Property.
  • 9. Gawain sa Pagkatuto Bilang 2 : Paghambingin ang mga pera. Isulat sa sagutang papel ang simbolo.
  • 10. 15 + = 25 8 + = 12 + 0 = 20 20 + = 20 + 10 = 25 1. 2. 4 + 8 = 3.
  • 11. 30 + = 20 5. (13 + 7) + 5 6. 13 + (7 + 5) + 0 = 30 4.
  • 13. Ang Identity o Zero property ay nagpapakita na ang isang addend ay zero (0). Anumang bilang na idagdag sa zero, ang kabuoan o sum ay hindi magbabago.
  • 14. Ang Commutative Property ay paraan sa addition kung saan ang mga addends ay maaaring magpalit ng puwesto subalit hindi pa rin magbabago ang sum.
  • 15. Ang Associative Property naman ay binubuo ng tatlo o mas marami pang addends na kung saan ang 2 addends ay pinapangkat sa pamamagitan ng panaklong saka idadagdag ang isa pang addends. Nagpapakita din ito na hindi maaapektuhan ang kabuoan o sum kahit mabago man ang pagpapangkat ng dalawang addends.
  • 16. Gawain sa Pagkatuto Bilang 3: Tukuyin kung anong property of addition ang ipinakikita sa pamilang na pangungusap. Isulat ang sagot sa iyong sagutang papel.
  • 17. Gawain sa Pagkatuto Bilang 3: _________________1. 42 + 33 = 33 + 42 _________________2. 35 + 0 = 35 _________________3. 11 + (2 + 5) = (11+2) + 5 = 112 _________________4. (3 + 4)+ 15 = 3 + (4 + 15)= 22 _________________5. 7 + 3 = 3 + 7
  • 18. Math 2 Quarter 1 Week 4 Addition ng Numerals na may Sum Hanggang 1000
  • 19. Ang addition ay term na ginagamit sa pagdaragdag upang malaman ang sum o kabuoang bilang. Ang mga variables o bilang na pinagsasama ay tinatawag na addends. Plus sign ( + ) ang simbolo na ginagamit sa addition. Sa araling ito, ikaw ay inaasahan na makapagproseso ng addition na may sum hanggang 1000 gamit ang groupings o walang groupings.
  • 20. Gawain sa Pagkatuto Bilang 1 : Ibigay ang kabuoan o sum. Isulat ang sagot sa iyong sagutang papel.
  • 21. Gawain sa Pagkatuto Bilang 1 : 2. 7 5 3 + 2 2 1. 2 4 2 + 1 1 1. 5 5 1 + 3 5
  • 22. Gawain sa Pagkatuto Bilang 1 : 4. 1 7 6 + 2 2 5. 8 4 2 + 2 3 8
  • 23. Pansinin ang iba’t ibang paraan sa pagsasama- sama. Panahon ng anihan ng mangga kaaya abala si Mang David. Ilan kaya ang kabuuan ng mangga na napitas?
  • 24. Sa pagdaragdag ng 3-digit, maaari nating gawin ang mgasumusunod na paraan. 4 5 0 400 50 0 + 2 5 2 0 5 5 = 475 400 70 1. Paggamit ng Expanded Form
  • 25. 2. Paggamit ng place value chart. • Ayusin ng patayo. Pagtapatin ayon saplace value ng bilang. • Pagsamahin ang mga bilang sa ones,tens, at hundreds. H T O 4 5 0 2 5
  • 26. Gawain sa Pagkatuto Bilang 2 : Punan ang place value chart. Isulat ang sagot sa iyong sagutang papel.
  • 27. Hundreds Tens Ones 3 7 5 +2 5 SAGOT:
  • 28. Hundreds Tens Ones 5 0 6 + 8 2 SAGOT:
  • 29. Hundreds Tens Ones 4 3 2 + 4 2 SAGOT:
  • 30. Sa pagdaragdag, iayos ang mga bilang nang magkakatapat at nasa parehong place value. Kapag ang sagot sa addends ay 2 - digit numbers, ibaba ang nasa ones place sa tapat ng mga bilang na pinagdagdag at itaas ang nasa tens place sa kasunod na digit. Huwag kalimutang isama sa pinagdadagdag ang bilang na itinaas mo.
  • 31. Gawain sa Pagkatuto Bilang 3: Pagdadagdag na may pagpapangkat. Isulat ang sagot sa iyong sagutang papel.
  • 32. Gawain sa Pagkatuto Bilang 3: • 4 5 5 + 2 5 2. 3 3 6 + 1 4 2. 2 9 2 + 1 7
  • 33. Gawain sa Pagkatuto Bilang 3: 4. 2 5 5 + 3 5 5. 5 3 6 + 1 6