WEBVTT 00:00:02.002 --> 00:00:05.007 Maligayang pagdating sa "basic addition"! 00:00:05.007 --> 00:00:09.008 Alam ko ang iniisip mo: "Di ganun ka-basic and addition para sa'kin!" 00:00:09.008 --> 00:00:11.001 Paumanhin... 00:00:11.001 --> 00:00:16.001 Nawa'y sa dulo ng palabas, o sa ilang linggo, ay basic na'to sa'yo 00:00:16.001 --> 00:00:19.007 Simulan natin siguro sa, maari mong sabihin, ilang mga katanungan 00:00:19.007 --> 00:00:24.001 Simulan natin sa isang tanyag na problema: 00:00:24.001 --> 00:00:27.001 1 + 1 00:00:27.001 --> 00:00:29.006 At alam ko na alam mo nang gawin ito 00:00:29.006 --> 00:00:33.007 Pero ipapakita ko yung paraan paano kung saka-sakaling 00:00:33.007 --> 00:00:36.001 hindi mo pa ito kabisado 00:00:36.001 --> 00:00:37.006 Sabihin natin, 00:00:37.006 --> 00:00:42.002 Kung meron akong isa - ito ay isang... avocado 00:00:42.002 --> 00:00:47.008 Kung meron akong isang avocado at binigyan mo pa ako ng isa 00:00:47.008 --> 00:00:50.001 Ilang avocado ang meron ako? 00:00:50.001 --> 00:00:52.000 Isa, dalawang avocado 00:00:52.000 --> 00:00:55.005 Kaya, ang 1 + 1 ay 2 00:00:55.006 --> 00:00:56.006 Ngayong, iniisip mo: 00:00:56.007 --> 00:00:58.002 "Ang dali naman!" 00:00:58.002 --> 00:01:01.001 Kaya bibigyan kita ng mas mahirap 00:01:01.001 --> 00:01:02.006 Ayos itong avocado 00:01:02.006 --> 00:01:05.002 Ituloy nating ganito 00:01:05.002 --> 00:01:10.006 Ano ang 3 + 4? 00:01:10.006 --> 00:01:13.002 Heto, tingin ko, ay mas mahirap 00:01:13.002 --> 00:01:15.004 Sige, sa avocado pa rin tayo 00:01:15.004 --> 00:01:17.002 Kung sakaling di mo alam kung ano ang avocado 00:01:17.002 --> 00:01:20.000 ito'y isa sa mga pinkamasasarap na prutas 00:01:20.000 --> 00:01:21.009 at isa ring sa mga pinakamalalangis 00:01:21.009 --> 00:01:25.000 Di mo nga siguro iisiping prutas kung makakita ka nito 00:01:25.000 --> 00:01:28.006 Sabihin natin meron akong 3 avocado 00:01:28.006 --> 00:01:30.000 1 00:01:30.000 --> 00:01:31.000 2 00:01:31.000 --> 00:01:32.007 3 00:01:32.007 --> 00:01:36.006 at binigyan mo pa ko ng 4 00:01:36.006 --> 00:01:41.004 Gawin nating dilaw yung 4, para alam mo na ito yung binigay mo sa'kin 00:01:41.004 --> 00:01:42.005 1 00:01:42.005 --> 00:01:43.004 2 00:01:43.004 --> 00:01:45.000 3 00:01:45.000 --> 00:01:47.000 4 00:01:47.000 --> 00:01:48.009 Ilang mga avocado ang meron ako ngayon? 00:01:49.000 --> 00:01:50.001 Bilangin natin, 00:01:50.001 --> 00:01:51.001 1 00:01:51.001 --> 00:01:51.009 2 00:01:52.000 --> 00:01:52.007 3 00:01:52.007 --> 00:01:53.004 4 00:01:53.004 --> 00:01:54.000 5 00:01:54.000 --> 00:01:54.009 6 00:01:54.009 --> 00:01:56.004 7 avocados 00:01:56.004 --> 00:01:59.007 Kaya ang 3 + 4 ay 7 00:01:59.007 --> 00:02:01.002 Ngayon naman, simulan natin ang isa pang paraan para isipin 'to 00:02:01.003 --> 00:02:03.003 Ang tawag dito'y: Ang Number Line 00:02:03.003 --> 00:02:06.001 Ganito ko gagawin sa utak ko, 00:02:06.001 --> 00:02:07.006 kapag nakalimutan ko, 00:02:07.006 --> 00:02:09.006 kapag di ko kabisado, 00:02:09.006 --> 00:02:11.008 Gamit ang number line, isusulat ko ang mga numero nang sunud-sunod, 00:02:11.008 --> 00:02:16.009 hanggang sa lahat ng numerong gamit ko'y naisulat na 00:02:16.009 --> 00:02:18.009 Ang unang numero ay 0, na ang ibig sabihi'y wala... 00:02:18.009 --> 00:02:21.001 ngayon alam mo na, 00:02:21.001 --> 00:02:36.009 Pagkatapos 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 00:02:37.000 --> 00:02:39.004 Patuloy sa: 11, ... 00:02:39.004 --> 00:02:40.008 Sabi natin 3 + 4 00:02:40.009 --> 00:02:43.000 Simulan natin sa 3 00:02:43.000 --> 00:02:45.001 Heto ang 3 00:02:45.001 --> 00:02:46.009 Idadagdag natin yung 4 sa 3 00:02:46.009 --> 00:02:49.003 Ang gagawin natin, punta tayo sa number line 00:02:49.003 --> 00:02:50.002 dito sa number line 00:02:50.002 --> 00:02:52.000 4 pa 00:02:52.000 --> 00:02:53.000 Kaya, 00:02:53.000 --> 00:02:54.005 1 00:02:54.005 --> 00:02:55.006 2 00:02:55.006 --> 00:02:57.001 3 00:02:57.001 --> 00:03:00.000 4 00:03:00.000 --> 00:03:01.006 Dinagdagan lang natin ito ng 1 00:03:01.006 --> 00:03:02.004 2 00:03:02.004 --> 00:03:02.009 3 00:03:02.009 --> 00:03:03.005 4 00:03:03.005 --> 00:03:04.009 Napunta tayo sa 7 00:03:04.009 --> 00:03:07.001 At yan ang sagot. 00:03:07.001 --> 00:03:08.001 Pwede pa tayong tumalakay ng iba pang tanong 00:03:08.001 --> 00:03:09.003 Sabihin natin: 00:03:09.003 --> 00:03:10.008 Ano ang... 00:03:10.008 --> 00:03:13.003 Kung itanong ko sa'yo, "ano ang 8 + 1?" 00:03:13.003 --> 00:03:14.009 Hmmm... 8 + 1 00:03:14.009 --> 00:03:16.000 Alam mo na siguro 00:03:16.000 --> 00:03:17.005 8 + 1 ay ang susunod na bilang 00:03:17.005 --> 00:03:19.000 kung titignan ang number line 00:03:19.000 --> 00:03:21.000 simulan natin sa 8 00:03:21.000 --> 00:03:23.005 dagdagan ng 1 00:03:23.005 --> 00:03:25.006 ang 8 + 1 ay 9 00:03:26.003 --> 00:03:31.002 hirapan natin 00:03:31.002 --> 00:03:33.000 at para sa iyong kaalaman, 00:03:33.000 --> 00:03:33.008 kung medyo hindi ka pa sanay, 00:03:33.008 --> 00:03:35.005 pwede mong iguhit ang mga bilog 00:03:35.005 --> 00:03:37.003 o kaya ang number line 00:03:37.003 --> 00:03:38.008 paglipas ng panahon, 00:03:38.008 --> 00:03:40.001 kapag nasanay ka na, 00:03:40.001 --> 00:03:41.003 madali mo itong maisasaulo 00:03:41.003 --> 00:03:43.002 kaya mo itong pagsasagutin ng wala pang isang segundo 00:03:43.002 --> 00:03:44.001 Promise. 00:03:44.001 --> 00:03:46.001 kailangan mo lang magsanay lagi 00:03:46.001 --> 00:03:47.005 Sabihin natin 00:03:47.005 --> 00:03:48.006 Nais kong iguhit muli ang number line 00:03:48.006 --> 00:03:50.003 meron nga pala akong line tool 00:03:50.003 --> 00:03:51.006 kaya hindi dapat pangit yung mga linya ko 00:03:51.006 --> 00:03:53.009 kung pwede namang... ayan 00:03:53.009 --> 00:03:57.000 ang ganda... 00:03:59.008 --> 00:04:02.005 Matinu-tinong linya 00:04:02.005 --> 00:04:05.004 Parang ayoko nang burahin 00:04:05.005 --> 00:04:07.008 gumuhit tayo ng number line 00:04:07.009 --> 00:04:08.005 0 00:04:08.005 --> 00:04:09.002 1 00:04:09.002 --> 00:04:10.005 2 00:04:10.005 --> 00:04:12.001 3 00:04:12.001 --> 00:04:13.003 4 00:04:13.003 --> 00:04:14.009 5 00:04:14.009 --> 00:04:16.000 6 00:04:16.000 --> 00:04:17.003 7 00:04:17.003 --> 00:04:18.005 8 00:04:18.005 --> 00:04:20.000 9 00:04:20.000 --> 00:04:21.005 10 00:04:21.005 --> 00:04:22.008 11 00:04:22.008 --> 00:04:24.002 12 00:04:24.002 --> 00:04:25.006 13 00:04:25.006 --> 00:04:27.000 14 00:04:27.000 --> 00:04:29.006 15 00:04:29.006 --> 00:04:31.007 Mahirap na tanong: 00:04:31.007 --> 00:04:34.000 Ano ang... 00:04:34.000 --> 00:04:36.001 (palitan din natin ang kulay) 00:04:36.001 --> 00:04:39.003 Ano ang 5 + 6 ? 00:04:39.003 --> 00:04:41.002 kung gusto mo, i-pause mo yung video at subukan ito. 00:04:41.002 --> 00:04:43.002 Baka nga alam mo na yung sagot 00:04:43.002 --> 00:04:45.006 Kaya ko inisip na mahirap ito dahil 00:04:45.006 --> 00:04:48.006 ang sagot ay mas marami sa bilang ng iyong daliri 00:04:48.006 --> 00:04:51.006 para di mo ito bilangin gamit ang iyong kamay 00:04:51.006 --> 00:04:55.001 OK, simulan na natin 00:04:55.001 --> 00:04:56.001 (tumutunog yung cellphone ko...) 00:04:56.001 --> 00:04:59.000 (pero di ko sasagutin kasi mas mahalaga ka!) 00:04:59.000 --> 00:05:03.000 Simulan natin 5 00:05:03.000 --> 00:05:05.001 Dito sa may 5 00:05:05.001 --> 00:05:06.006 dadagdagan natin ng 6 00:05:06.006 --> 00:05:07.006 bilangin natin 00:05:07.006 --> 00:05:08.005 1 00:05:08.005 --> 00:05:09.006 2 00:05:09.006 --> 00:05:10.007 3 00:05:10.007 --> 00:05:11.006 4 00:05:11.006 --> 00:05:13.001 5 00:05:13.001 --> 00:05:15.006 6 00:05:15.006 --> 00:05:17.006 Nasa 11 tayo 00:05:17.006 --> 00:05:20.003 Ang 5 + 6 ay 11 00:05:20.003 --> 00:05:22.001 Ngayon, tatanungin kita 00:05:22.001 --> 00:05:23.007 Ano ang 6 + 5 ? 00:05:29.006 --> 00:05:31.003 Pwede mo bang baligtarin ang dalawang numero at kunin ang sagot? 00:05:31.003 --> 00:05:32.006 Subukan natin 00:05:32.006 --> 00:05:33.007 pero ibahin rin natin yung kulay 00:05:33.007 --> 00:05:35.003 para di tayo malito 00:05:35.003 --> 00:05:37.006 Simlan natin sa 6 00:05:37.006 --> 00:05:39.003 Wag mo munang pansinin yung dilaw 00:05:39.003 --> 00:05:41.000 dagdagan natin ng 5 00:05:41.000 --> 00:05:42.000 1 00:05:42.000 --> 00:05:43.000 2 00:05:43.000 --> 00:05:44.002 3 00:05:44.002 --> 00:05:45.000 4 00:05:45.000 --> 00:05:45.005 5 00:05:45.005 --> 00:05:46.000 Ha! 00:05:46.000 --> 00:05:48.001 Pareho! 00:05:48.001 --> 00:05:49.003 Maari mo itong subukan sa iba pang mga tanong 00:05:49.003 --> 00:05:51.001 at makikita kung bakit ito gumagana 00:05:51.001 --> 00:05:53.006 Hindi mahalaga kung ano ang nauna 00:05:53.006 --> 00:05:56.000 ang 5 + 6 ay pareho lang sa 6 + 5 00:05:56.000 --> 00:05:57.002 Hindi ba? 00:05:57.002 --> 00:06:00.001 Kung may 5 akong avocado at bigyan mo ako ng 6, 11 00:06:00.001 --> 00:06:03.001 At kung 6 at bigyan mo'ko ng 5, 11 pa rin 00:06:05.004 --> 00:06:07.001 Dahil mabisa ang number line 00:06:07.001 --> 00:06:08.007 Sumagot pa tayo ng ilang tanong gamit 'to 00:06:08.007 --> 00:06:10.008 Pero sigurado akong malilito ka na 00:06:10.008 --> 00:06:12.003 kasi patung-patong na ang sulat ko 00:06:13.006 --> 00:06:14.008 Tignan natin... 00:06:14.008 --> 00:06:15.008 (puti naman) 00:06:16.008 --> 00:06:22.009 Ano ang 8 + 7 ? 00:06:22.009 --> 00:06:24.000 Well... 00:06:24.000 --> 00:06:25.000 (kung nababasa mo pa'to) 00:06:25.000 --> 00:06:27.004 ang 8 ay narito 00:06:27.004 --> 00:06:29.003 dadagdagan natin ng 7 00:06:29.004 --> 00:06:30.002 1 00:06:30.002 --> 00:06:31.001 2 00:06:31.001 --> 00:06:32.005 3 00:06:32.005 --> 00:06:33.005 4 00:06:33.005 --> 00:06:34.007 5 00:06:34.007 --> 00:06:35.006 6 00:06:35.006 --> 00:06:37.002 7 00:06:37.002 --> 00:06:39.002 Andito tayo sa 15 00:06:39.002 --> 00:06:43.005 8 + 7 ay 15 00:06:43.005 --> 00:06:47.005 Kaya sana, maunawaan mo kung paano gagawin ang mga problemang ito 00:06:47.005 --> 00:06:51.008 At higit pa - hula ko matututunan mo rin ang multiplication maya-maya 00:06:51.008 --> 00:06:54.001 Ang mga ganitong tanong, 00:06:54.001 --> 00:06:55.009 Kapag nagsisimula ka palang sa sipnayan (maths) 00:06:55.009 --> 00:06:58.003 Heto ang nangangailangan ng matinding pagsasanay 00:06:58.003 --> 00:07:00.000 kalaunan kelangan mo rin itong kabisaduhin 00:07:00.000 --> 00:07:03.003 pero pag tagal, at tinignan mo ito uli, 00:07:03.003 --> 00:07:05.009 gusto kong maalala mo kung paano mo pinanood ito, 00:07:05.009 --> 00:07:09.008 at panoorin mo ito uli pagkatapos ng tatlong taon 00:07:09.008 --> 00:07:11.008 at gusto kong maalala mo kung ano ang iyong naramdaman noong pinapanood mo'to ngayon 00:07:11.008 --> 00:07:14.007 at sasabihin mo "Oh my God, ang dali naman nito!" 00:07:14.007 --> 00:07:16.005 dahil mabilis kang matututo 00:07:16.007 --> 00:07:17.006 anyway... 00:07:18.007 --> 00:07:20.005 sa tingin ko alam mo na'to 00:07:20.005 --> 00:07:24.005 At kung hindi mo alam yung sagot sa mga addition problem sa mga exercise 00:07:24.005 --> 00:07:26.001 Maari mong pindutin yung "hints" 00:07:26.001 --> 00:07:27.006 at iguguhit namin yung mga bilog 00:07:27.006 --> 00:07:28.009 na maari mong bilangin 00:07:28.009 --> 00:07:30.006 o kaya, kung gusto mo itong gawin mag-isa, 00:07:30.006 --> 00:07:31.006 para makuha mo ito ng tama, 00:07:31.006 --> 00:07:33.000 pwede mong iguhit yung mga bilog 00:07:33.000 --> 00:07:35.000 o kaya yung number line 00:07:35.000 --> 00:07:37.006 na katulad dito. 00:07:37.006 --> 00:07:40.006 Tingin ko kaya mo na yung iba pang mga tanong sa addition. 00:07:41.000 --> 99:59:59.999 Have fun!