1 00:00:02,002 --> 00:00:05,007 Maligayang pagdating sa "basic addition"! 2 00:00:05,007 --> 00:00:09,008 Alam ko ang iniisip mo: "Di ganun ka-basic and addition para sa'kin!" 3 00:00:09,008 --> 00:00:11,001 Paumanhin... 4 00:00:11,001 --> 00:00:16,001 Nawa'y sa dulo ng palabas, o sa ilang linggo, ay basic na'to sa'yo 5 00:00:16,001 --> 00:00:19,007 Simulan natin siguro sa, maari mong sabihin, ilang mga katanungan 6 00:00:19,007 --> 00:00:24,001 Simulan natin sa isang tanyag na problema: 7 00:00:24,001 --> 00:00:27,001 1 + 1 8 00:00:27,001 --> 00:00:29,006 At alam ko na alam mo nang gawin ito 9 00:00:29,006 --> 00:00:33,007 Pero ipapakita ko yung paraan paano kung saka-sakaling 10 00:00:33,007 --> 00:00:36,001 hindi mo pa ito kabisado 11 00:00:36,001 --> 00:00:37,006 Sabihin natin, 12 00:00:37,006 --> 00:00:42,002 Kung meron akong isa - ito ay isang... avocado 13 00:00:42,002 --> 00:00:47,008 Kung meron akong isang avocado at binigyan mo pa ako ng isa 14 00:00:47,008 --> 00:00:50,001 Ilang avocado ang meron ako? 15 00:00:50,001 --> 00:00:52,000 Isa, dalawang avocado 16 00:00:52,000 --> 00:00:55,005 Kaya, ang 1 + 1 ay 2 17 00:00:55,006 --> 00:00:56,006 Ngayong, iniisip mo: 18 00:00:56,007 --> 00:00:58,002 "Ang dali naman!" 19 00:00:58,002 --> 00:01:01,001 Kaya bibigyan kita ng mas mahirap 20 00:01:01,001 --> 00:01:02,006 Ayos itong avocado 21 00:01:02,006 --> 00:01:05,002 Ituloy nating ganito 22 00:01:05,002 --> 00:01:10,006 Ano ang 3 + 4? 23 00:01:10,006 --> 00:01:13,002 Heto, tingin ko, ay mas mahirap 24 00:01:13,002 --> 00:01:15,004 Sige, sa avocado pa rin tayo 25 00:01:15,004 --> 00:01:17,002 Kung sakaling di mo alam kung ano ang avocado 26 00:01:17,002 --> 00:01:20,000 ito'y isa sa mga pinkamasasarap na prutas 27 00:01:20,000 --> 00:01:21,009 at isa ring sa mga pinakamalalangis 28 00:01:21,009 --> 00:01:25,000 Di mo nga siguro iisiping prutas kung makakita ka nito 29 00:01:25,000 --> 00:01:28,006 Sabihin natin meron akong 3 avocado 30 00:01:28,006 --> 00:01:30,000 1 31 00:01:30,000 --> 00:01:31,000 2 32 00:01:31,000 --> 00:01:32,007 3 33 00:01:32,007 --> 00:01:36,006 at binigyan mo pa ko ng 4 34 00:01:36,006 --> 00:01:41,004 Gawin nating dilaw yung 4, para alam mo na ito yung binigay mo sa'kin 35 00:01:41,004 --> 00:01:42,005 1 36 00:01:42,005 --> 00:01:43,004 2 37 00:01:43,004 --> 00:01:45,000 3 38 00:01:45,000 --> 00:01:47,000 4 39 00:01:47,000 --> 00:01:48,009 Ilang mga avocado ang meron ako ngayon? 40 00:01:49,000 --> 00:01:50,001 Bilangin natin, 41 00:01:50,001 --> 00:01:51,001 1 42 00:01:51,001 --> 00:01:51,009 2 43 00:01:52,000 --> 00:01:52,007 3 44 00:01:52,007 --> 00:01:53,004 4 45 00:01:53,004 --> 00:01:54,000 5 46 00:01:54,000 --> 00:01:54,009 6 47 00:01:54,009 --> 00:01:56,004 7 avocados 48 00:01:56,004 --> 00:01:59,007 Kaya ang 3 + 4 ay 7 49 00:01:59,007 --> 00:02:01,002 Ngayon naman, simulan natin ang isa pang paraan para isipin 'to 50 00:02:01,003 --> 00:02:03,003 Ang tawag dito'y: Ang Number Line 51 00:02:03,003 --> 00:02:06,001 Ganito ko gagawin sa utak ko, 52 00:02:06,001 --> 00:02:07,006 kapag nakalimutan ko, 53 00:02:07,006 --> 00:02:09,006 kapag di ko kabisado, 54 00:02:09,006 --> 00:02:11,008 Gamit ang number line, isusulat ko ang mga numero nang sunud-sunod, 55 00:02:11,008 --> 00:02:16,009 hanggang sa lahat ng numerong gamit ko'y naisulat na 56 00:02:16,009 --> 00:02:18,009 Ang unang numero ay 0, na ang ibig sabihi'y wala... 57 00:02:18,009 --> 00:02:21,001 ngayon alam mo na, 58 00:02:21,001 --> 00:02:36,009 Pagkatapos 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 59 00:02:37,000 --> 00:02:39,004 Patuloy sa: 11, ... 60 00:02:39,004 --> 00:02:40,008 Sabi natin 3 + 4 61 00:02:40,009 --> 00:02:43,000 Simulan natin sa 3 62 00:02:43,000 --> 00:02:45,001 Heto ang 3 63 00:02:45,001 --> 00:02:46,009 Idadagdag natin yung 4 sa 3 64 00:02:46,009 --> 00:02:49,003 Ang gagawin natin, punta tayo sa number line 65 00:02:49,003 --> 00:02:50,002 dito sa number line 66 00:02:50,002 --> 00:02:52,000 4 pa 67 00:02:52,000 --> 00:02:53,000 Kaya, 68 00:02:53,000 --> 00:02:54,005 1 69 00:02:54,005 --> 00:02:55,006 2 70 00:02:55,006 --> 00:02:57,001 3 71 00:02:57,001 --> 00:03:00,000 4 72 00:03:00,000 --> 00:03:01,006 Dinagdagan lang natin ito ng 1 73 00:03:01,006 --> 00:03:02,004 2 74 00:03:02,004 --> 00:03:02,009 3 75 00:03:02,009 --> 00:03:03,005 4 76 00:03:03,005 --> 00:03:04,009 Napunta tayo sa 7 77 00:03:04,009 --> 00:03:07,001 At yan ang sagot. 78 00:03:07,001 --> 00:03:08,001 Pwede pa tayong tumalakay ng iba pang tanong 79 00:03:08,001 --> 00:03:09,003 Sabihin natin: 80 00:03:09,003 --> 00:03:10,008 Ano ang... 81 00:03:10,008 --> 00:03:13,003 Kung itanong ko sa'yo, "ano ang 8 + 1?" 82 00:03:13,003 --> 00:03:14,009 Hmmm... 8 + 1 83 00:03:14,009 --> 00:03:16,000 Alam mo na siguro 84 00:03:16,000 --> 00:03:17,005 8 + 1 ay ang susunod na bilang 85 00:03:17,005 --> 00:03:19,000 kung titignan ang number line 86 00:03:19,000 --> 00:03:21,000 simulan natin sa 8 87 00:03:21,000 --> 00:03:23,005 dagdagan ng 1 88 00:03:23,005 --> 00:03:25,006 ang 8 + 1 ay 9 89 00:03:26,003 --> 00:03:31,002 hirapan natin 90 00:03:31,002 --> 00:03:33,000 at para sa iyong kaalaman, 91 00:03:33,000 --> 00:03:33,008 kung medyo hindi ka pa sanay, 92 00:03:33,008 --> 00:03:35,005 pwede mong iguhit ang mga bilog 93 00:03:35,005 --> 00:03:37,003 o kaya ang number line 94 00:03:37,003 --> 00:03:38,008 paglipas ng panahon, 95 00:03:38,008 --> 00:03:40,001 kapag nasanay ka na, 96 00:03:40,001 --> 00:03:41,003 madali mo itong maisasaulo 97 00:03:41,003 --> 00:03:43,002 kaya mo itong pagsasagutin ng wala pang isang segundo 98 00:03:43,002 --> 00:03:44,001 Promise. 99 00:03:44,001 --> 00:03:46,001 kailangan mo lang magsanay lagi 100 00:03:46,001 --> 00:03:47,005 Sabihin natin 101 00:03:47,005 --> 00:03:48,006 Nais kong iguhit muli ang number line 102 00:03:48,006 --> 00:03:50,003 meron nga pala akong line tool 103 00:03:50,003 --> 00:03:51,006 kaya hindi dapat pangit yung mga linya ko 104 00:03:51,006 --> 00:03:53,009 kung pwede namang... ayan 105 00:03:53,009 --> 00:03:57,000 ang ganda... 106 00:03:59,008 --> 00:04:02,005 Matinu-tinong linya 107 00:04:02,005 --> 00:04:05,004 Parang ayoko nang burahin 108 00:04:05,005 --> 00:04:07,008 gumuhit tayo ng number line 109 00:04:07,009 --> 00:04:08,005 0 110 00:04:08,005 --> 00:04:09,002 1 111 00:04:09,002 --> 00:04:10,005 2 112 00:04:10,005 --> 00:04:12,001 3 113 00:04:12,001 --> 00:04:13,003 4 114 00:04:13,003 --> 00:04:14,009 5 115 00:04:14,009 --> 00:04:16,000 6 116 00:04:16,000 --> 00:04:17,003 7 117 00:04:17,003 --> 00:04:18,005 8 118 00:04:18,005 --> 00:04:20,000 9 119 00:04:20,000 --> 00:04:21,005 10 120 00:04:21,005 --> 00:04:22,008 11 121 00:04:22,008 --> 00:04:24,002 12 122 00:04:24,002 --> 00:04:25,006 13 123 00:04:25,006 --> 00:04:27,000 14 124 00:04:27,000 --> 00:04:29,006 15 125 00:04:29,006 --> 00:04:31,007 Mahirap na tanong: 126 00:04:31,007 --> 00:04:34,000 Ano ang... 127 00:04:34,000 --> 00:04:36,001 (palitan din natin ang kulay) 128 00:04:36,001 --> 00:04:39,003 Ano ang 5 + 6 ? 129 00:04:39,003 --> 00:04:41,002 kung gusto mo, i-pause mo yung video at subukan ito. 130 00:04:41,002 --> 00:04:43,002 Baka nga alam mo na yung sagot 131 00:04:43,002 --> 00:04:45,006 Kaya ko inisip na mahirap ito dahil 132 00:04:45,006 --> 00:04:48,006 ang sagot ay mas marami sa bilang ng iyong daliri 133 00:04:48,006 --> 00:04:51,006 para di mo ito bilangin gamit ang iyong kamay 134 00:04:51,006 --> 00:04:55,001 OK, simulan na natin 135 00:04:55,001 --> 00:04:56,001 (tumutunog yung cellphone ko...) 136 00:04:56,001 --> 00:04:59,000 (pero di ko sasagutin kasi mas mahalaga ka!) 137 00:04:59,000 --> 00:05:03,000 Simulan natin 5 138 00:05:03,000 --> 00:05:05,001 Dito sa may 5 139 00:05:05,001 --> 00:05:06,006 dadagdagan natin ng 6 140 00:05:06,006 --> 00:05:07,006 bilangin natin 141 00:05:07,006 --> 00:05:08,005 1 142 00:05:08,005 --> 00:05:09,006 2 143 00:05:09,006 --> 00:05:10,007 3 144 00:05:10,007 --> 00:05:11,006 4 145 00:05:11,006 --> 00:05:13,001 5 146 00:05:13,001 --> 00:05:15,006 6 147 00:05:15,006 --> 00:05:17,006 Nasa 11 tayo 148 00:05:17,006 --> 00:05:20,003 Ang 5 + 6 ay 11 149 00:05:20,003 --> 00:05:22,001 Ngayon, tatanungin kita 150 00:05:22,001 --> 00:05:23,007 Ano ang 6 + 5 ? 151 00:05:29,006 --> 00:05:31,003 Pwede mo bang baligtarin ang dalawang numero at kunin ang sagot? 152 00:05:31,003 --> 00:05:32,006 Subukan natin 153 00:05:32,006 --> 00:05:33,007 pero ibahin rin natin yung kulay 154 00:05:33,007 --> 00:05:35,003 para di tayo malito 155 00:05:35,003 --> 00:05:37,006 Simlan natin sa 6 156 00:05:37,006 --> 00:05:39,003 Wag mo munang pansinin yung dilaw 157 00:05:39,003 --> 00:05:41,000 dagdagan natin ng 5 158 00:05:41,000 --> 00:05:42,000 1 159 00:05:42,000 --> 00:05:43,000 2 160 00:05:43,000 --> 00:05:44,002 3 161 00:05:44,002 --> 00:05:45,000 4 162 00:05:45,000 --> 00:05:45,005 5 163 00:05:45,005 --> 00:05:46,000 Ha! 164 00:05:46,000 --> 00:05:48,001 Pareho! 165 00:05:48,001 --> 00:05:49,003 Maari mo itong subukan sa iba pang mga tanong 166 00:05:49,003 --> 00:05:51,001 at makikita kung bakit ito gumagana 167 00:05:51,001 --> 00:05:53,006 Hindi mahalaga kung ano ang nauna 168 00:05:53,006 --> 00:05:56,000 ang 5 + 6 ay pareho lang sa 6 + 5 169 00:05:56,000 --> 00:05:57,002 Hindi ba? 170 00:05:57,002 --> 00:06:00,001 Kung may 5 akong avocado at bigyan mo ako ng 6, 11 171 00:06:00,001 --> 00:06:03,001 At kung 6 at bigyan mo'ko ng 5, 11 pa rin 172 00:06:05,004 --> 00:06:07,001 Dahil mabisa ang number line 173 00:06:07,001 --> 00:06:08,007 Sumagot pa tayo ng ilang tanong gamit 'to 174 00:06:08,007 --> 00:06:10,008 Pero sigurado akong malilito ka na 175 00:06:10,008 --> 00:06:12,003 kasi patung-patong na ang sulat ko 176 00:06:13,006 --> 00:06:14,008 Tignan natin... 177 00:06:14,008 --> 00:06:15,008 (puti naman) 178 00:06:16,008 --> 00:06:22,009 Ano ang 8 + 7 ? 179 00:06:22,009 --> 00:06:24,000 Well... 180 00:06:24,000 --> 00:06:25,000 (kung nababasa mo pa'to) 181 00:06:25,000 --> 00:06:27,004 ang 8 ay narito 182 00:06:27,004 --> 00:06:29,003 dadagdagan natin ng 7 183 00:06:29,004 --> 00:06:30,002 1 184 00:06:30,002 --> 00:06:31,001 2 185 00:06:31,001 --> 00:06:32,005 3 186 00:06:32,005 --> 00:06:33,005 4 187 00:06:33,005 --> 00:06:34,007 5 188 00:06:34,007 --> 00:06:35,006 6 189 00:06:35,006 --> 00:06:37,002 7 190 00:06:37,002 --> 00:06:39,002 Andito tayo sa 15 191 00:06:39,002 --> 00:06:43,005 8 + 7 ay 15 192 00:06:43,005 --> 00:06:47,005 Kaya sana, maunawaan mo kung paano gagawin ang mga problemang ito 193 00:06:47,005 --> 00:06:51,008 At higit pa - hula ko matututunan mo rin ang multiplication maya-maya 194 00:06:51,008 --> 00:06:54,001 Ang mga ganitong tanong, 195 00:06:54,001 --> 00:06:55,009 Kapag nagsisimula ka palang sa sipnayan (maths) 196 00:06:55,009 --> 00:06:58,003 Heto ang nangangailangan ng matinding pagsasanay 197 00:06:58,003 --> 00:07:00,000 kalaunan kelangan mo rin itong kabisaduhin 198 00:07:00,000 --> 00:07:03,003 pero pag tagal, at tinignan mo ito uli, 199 00:07:03,003 --> 00:07:05,009 gusto kong maalala mo kung paano mo pinanood ito, 200 00:07:05,009 --> 00:07:09,008 at panoorin mo ito uli pagkatapos ng tatlong taon 201 00:07:09,008 --> 00:07:11,008 at gusto kong maalala mo kung ano ang iyong naramdaman noong pinapanood mo'to ngayon 202 00:07:11,008 --> 00:07:14,007 at sasabihin mo "Oh my God, ang dali naman nito!" 203 00:07:14,007 --> 00:07:16,005 dahil mabilis kang matututo 204 00:07:16,007 --> 00:07:17,006 anyway... 205 00:07:18,007 --> 00:07:20,005 sa tingin ko alam mo na'to 206 00:07:20,005 --> 00:07:24,005 At kung hindi mo alam yung sagot sa mga addition problem sa mga exercise 207 00:07:24,005 --> 00:07:26,001 Maari mong pindutin yung "hints" 208 00:07:26,001 --> 00:07:27,006 at iguguhit namin yung mga bilog 209 00:07:27,006 --> 00:07:28,009 na maari mong bilangin 210 00:07:28,009 --> 00:07:30,006 o kaya, kung gusto mo itong gawin mag-isa, 211 00:07:30,006 --> 00:07:31,006 para makuha mo ito ng tama, 212 00:07:31,006 --> 00:07:33,000 pwede mong iguhit yung mga bilog 213 00:07:33,000 --> 00:07:35,000 o kaya yung number line 214 00:07:35,000 --> 00:07:37,006 na katulad dito. 215 00:07:37,006 --> 00:07:40,006 Tingin ko kaya mo na yung iba pang mga tanong sa addition. 216 00:07:41,000 --> 99:59:59,999 Have fun!