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MATH 4 TERM 1 WEEK 4 DAY 1-2 PERIMETER OF COMPOSITE FIGURES COMPOSED OF TRIANGLES | MAATAG — Transcript

by Teacher Frell · 2,706 words · 489 segments · language en · Watch on YouTube
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  1. 0:01Math 4
  2. 0:04Term 1
  3. 0:06Week 4
  4. 0:08Let's learn about
  5. 0:11>> [music]
  6. 0:11>> perimeter of composite figures composed
  7. 0:14of triangles.
  8. 0:16Day 1 to Day 2, Matatag Curriculum.
  9. 0:22Hello kids, it's me, Teacher Pearl.
  10. 0:26Don't forget to subscribe,
  11. 0:28like, [music]
  12. 0:30share,
  13. 0:31and hit the notification bell for the
  14. 0:34latest video. [music]
  15. 0:35Have fun learning, kids.
  16. 0:40Learning competencies and objectives.
  17. 0:43Find the perimeter of quadrilaterals
  18. 0:46that are not squares or rectangles.
  19. 0:50At the end of the lesson, the learners
  20. 0:52will be able to
  21. 0:55First, give the meaning of composite
  22. 0:57figures.
  23. 1:00Second, give examples of composite
  24. 1:03figures.
  25. 1:05Third, solve the perimeter of composite
  26. 1:07figures.
  27. 1:10Fourth, follow the correct formulas in
  28. 1:13solving for the perimeter of composite
  29. 1:15figures composed of triangles.
  30. 1:20Day 1
  31. 1:23Before we start our lesson, let's have a
  32. 1:26short review.
  33. 1:28Instructions Study the figures below.
  34. 1:31Use the given side lengths to calculate
  35. 1:34its perimeter. Choose your answers
  36. 1:36inside the box below.
  37. 1:39Number 1 The side lengths of this
  38. 1:41triangle is 12 cm.
  39. 1:44This triangle has three sides, so we can
  40. 1:48use this formula. Perimeter equals 3 *
  41. 1:51side, or
  42. 1:533 * 12 cm.
  43. 1:563 * 12 = 36 cm.
  44. 2:00Therefore, the perimeter of this
  45. 2:02triangle is 36 cm. The answer is letter
  46. 2:07D.
  47. 2:09Number two.
  48. 2:10Each side length of this triangle has
  49. 2:13different length, 4 cm, 8 cm, and 10 cm.
  50. 2:19So, we can use this formula.
  51. 2:22Perimeter = 4 cm + 8 cm + 10 cm = 22 cm.
  52. 2:31Therefore, the perimeter of this
  53. 2:33triangle is 22 cm.
  54. 2:37>> [music]
  55. 2:37>> The answer is letter C.
  56. 2:40Number three. The side length of this
  57. 2:43triangle is 15 cm.
  58. 2:46And the length below is 5 cm. So, add
  59. 2:50the following lengths.
  60. 2:52Perimeter = 15 cm + 15 cm + 5 cm = 35
  61. 3:00cm.
  62. 3:02Therefore, the perimeter of this
  63. 3:04triangle is 35 cm. The answer is letter
  64. 3:09A.
  65. 3:11Number four. The sides of this triangle
  66. 3:14has different length.
  67. 3:163 cm, 11 cm, and 14 cm. So, we can add
  68. 3:22them.
  69. 3:23Perimeter = 3 cm + 11 cm + 14 cm.
  70. 3:30The answer is 28 cm.
  71. 3:33Therefore, the perimeter of this
  72. 3:35triangle is 28 cm. The answer is letter
  73. 3:40E.
  74. 3:41And for number five, the two sides of
  75. 3:44this triangle have the same length,
  76. 3:46which is 21 cm. And the other side is 24
  77. 3:51cm.
  78. 3:53So, we can add them.
  79. 3:55Perimeter equals 24 cm + 21 cm + 21 cm =
  80. 4:0366 cm. Therefore, the perimeter of this
  81. 4:07triangle is 66 cm. The answer [music] is
  82. 4:11letter B.
  83. 4:16Lesson purpose.
  84. 4:18Imagine you are designing a garden in
  85. 4:20the shape of a composite figure made up
  86. 4:23of triangles. If each triangle in your
  87. 4:26design has sides of 2 m, 3 m, and 4 m,
  88. 4:31how would you calculate the total length
  89. 4:34of the garden's boundary?
  90. 4:36Let's solve.
  91. 4:38To calculate the total length of the
  92. 4:40garden's boundary or perimeter, you
  93. 4:43first need to know how many triangles
  94. 4:45make up the composite figure and which
  95. 4:48sides are on the outside boundary.
  96. 4:51For one triangle with sides 2 m, 3 m,
  97. 4:55and 4 m, we can solve them by adding the
  98. 4:58following meters.
  99. 5:00Perimeter equals 2 + 3 + 4 = 9 m.
  100. 5:06So, the boundary length of a single
  101. 5:09triangle is 9 m.
  102. 5:13Unlocking content vocabulary. Arrange
  103. 5:16the jumbled words.
  104. 5:19Number one.
  105. 5:20What word is this?
  106. 5:24This word is perimeter. [music]
  107. 5:28Number two.
  108. 5:29What word is this?
  109. 5:34Correct. This word is triangle.
  110. 5:38Number three. What word is this?
  111. 5:44Very good. This word is length.
  112. 5:49Number four. What word is this?
  113. 5:54Correct. This word is
  114. 5:57composite.
  115. 5:59And number five. What word is this?
  116. 6:05Correct. This word is
  117. 6:08figure.
  118. 6:10Let us know about the meaning of the
  119. 6:12following words.
  120. 6:15The first word is perimeter.
  121. 6:18The perimeter is the total distance
  122. 6:20around the edge of a two-dimensional
  123. 6:22shape.
  124. 6:24The second word is triangle. A triangle
  125. 6:28is a figure with three edges and three
  126. 6:31vertices. It is one of the basic shapes
  127. 6:34in geometry.
  128. 6:37The third word is length. Length is the
  129. 6:41measurement of something from end to
  130. 6:43end. It is the longest dimension of an
  131. 6:46object.
  132. 6:48And the last word is composite figure.
  133. 6:51A composite figure is a shape that is
  134. 6:54made up of two or more simple geometric
  135. 6:57shapes, such as triangles, rectangles,
  136. 7:01circles, and so on.
  137. 7:06Day two.
  138. 7:08Subtopic number one. Perimeter of
  139. 7:11composite figures composed of triangles.
  140. 7:15Let's read this problem.
  141. 7:18Mr. Rabang bought a cartolina for his
  142. 7:20math class. He needs two triangles of
  143. 7:24the same size without wasting any part
  144. 7:27of the cartolina.
  145. 7:28How will he divide it?
  146. 7:30What will be the perimeter of each
  147. 7:33triangle?
  148. 7:35Observe the perimeter of each triangle.
  149. 7:38We have triangle A and triangle B.
  150. 7:42In triangle A, the length of the sides
  151. 7:45are 50 cm, 70 cm, and 80 cm. The same
  152. 7:51with the side lengths of triangle B.
  153. 7:55First question, who bought cartolina for
  154. 7:58his math class?
  155. 8:02Correct.
  156. 8:04Mr. Abang bought cartolina for his math
  157. 8:06class.
  158. 8:09Second question, how will he cut the
  159. 8:11cartolina into two triangles without
  160. 8:14wasting any part?
  161. 8:19Correct.
  162. 8:21He cut the cartolina by equal triangles
  163. 8:24or two right triangles.
  164. 8:28Third question, what do you call the
  165. 8:30figure cut into two equal triangles like
  166. 8:33Mr. Abang did to the cartolina he
  167. 8:35bought?
  168. 8:40Correct. The figure cut into two equal
  169. 8:42triangles is called composite figures.
  170. 8:48Fourth question, what do you think is
  171. 8:50the distance around each triangle?
  172. 8:57Correct. The distance around each
  173. 8:59triangle is 200 cm.
  174. 9:04Fifth question, what will be the
  175. 9:06perimeter of the two triangles?
  176. 9:11Correct. The perimeter of the two
  177. 9:14triangles is
  178. 9:16240 cm.
  179. 9:19Number six, how many triangles are there
  180. 9:22in the figure?
  181. 9:27Correct. There are two triangles.
  182. 9:32Number seven, what figure was formed
  183. 9:35when the two triangles were combined.
  184. 9:40Very good. When the two triangles were
  185. 9:43combined, the figure formed is
  186. 9:46rectangle.
  187. 9:48Number eight. How do we solve for the
  188. 9:50perimeter of two triangles?
  189. 9:56Correct.
  190. 9:57To solve for the perimeter of the two
  191. 9:59triangles above, first calculate the
  192. 10:02perimeter of triangle A, then calculate
  193. 10:05the perimeter of triangle B, then get
  194. 10:08the sum of the two triangles.
  195. 10:13Since triangles have three sides, follow
  196. 10:16this formula.
  197. 10:17The formula for triangle A is side 1 +
  198. 10:21side 2 + side 3, or S1 + S2 + S3.
  199. 10:28Side 1 is 50 cm,
  200. 10:31side 2 is 70 cm, and side 3 is 80 cm.
  201. 10:36So, 50 cm + 70 cm + 80 cm =
  202. 10:42200 cm.
  203. 10:45Therefore, the perimeter of triangle A
  204. 10:47is 200 cm.
  205. 10:51Then calculate the perimeter of triangle
  206. 10:54B following the same formula.
  207. 10:57Triangle B = side 1 + side 2 + side 3,
  208. 11:01or S1 + S2 + S3.
  209. 11:0550 cm + 70 cm + 80 cm =
  210. 11:11200 cm.
  211. 11:14Therefore, the perimeter of triangle B
  212. 11:16is also 200 cm.
  213. 11:21Now, add the perimeter of the two
  214. 11:23triangles.
  215. 11:25They have the same perimeter, which is
  216. 11:27200 cm.
  217. 11:30So, perimeter equals triangle A, which
  218. 11:33is 200 cm, plus triangle B, which is 200
  219. 11:37cm.
  220. 11:39200 cm plus 200 cm equals
  221. 11:44400 cm.
  222. 11:46Therefore, the perimeter of the two
  223. 11:49triangles is 400 cm.
  224. 11:54Now, let's have a work example.
  225. 11:57For example number one, let's read the
  226. 12:00problem.
  227. 12:01The grade four pupils of Pantay
  228. 12:03Elementary School were asked to draw a
  229. 12:05rhombus of two equal triangles with a
  230. 12:08side of 15 cm.
  231. 12:11What is the perimeter of the two
  232. 12:13triangles?
  233. 12:14What is the perimeter of the composite
  234. 12:16figure?
  235. 12:18So, as you can see, the rhombus has two
  236. 12:21equal triangles, triangle A and triangle
  237. 12:25B, with a side of 15 cm.
  238. 12:28Let's find the perimeter of the two
  239. 12:30triangles and also find the perimeter of
  240. 12:33the composite figure.
  241. 12:36For triangle A,
  242. 12:37add each side.
  243. 12:39Perimeter equals 15 cm plus 15 cm plus
  244. 12:4415 cm equals
  245. 12:4745 cm.
  246. 12:50Therefore, the perimeter of triangle A
  247. 12:52is 45 cm.
  248. 12:55For triangle B,
  249. 12:57perimeter equals 15 cm plus 15 cm plus
  250. 13:0315 cm
  251. 13:05equals 45 cm.
  252. 13:09Therefore, the perimeter of triangle B
  253. 13:11is 45 cm.
  254. 13:14Triangle A and triangle B have the same
  255. 13:17perimeter.
  256. 13:20Now, get the perimeter of the two
  257. 13:22triangles.
  258. 13:24Perimeter equals 45 cm + 45 cm. The
  259. 13:30answer is 90 cm.
  260. 13:33Therefore, the perimeter of the two
  261. 13:35triangles is 90 cm.
  262. 13:40But if we are solving for the perimeter
  263. 13:42of the composite figure, which is the
  264. 13:44rhombus, we add all the sides around the
  265. 13:48figure using this formula.
  266. 13:51The formula is perimeter equals S1 + S2
  267. 13:55+ S3 + S4 since the rhombus has four
  268. 13:59sides or 15 cm + 15 cm + 15 cm.
  269. 14:08The answer is
  270. 14:1060 cm.
  271. 14:13Therefore, the perimeter of the
  272. 14:14composite figure is 60 cm.
  273. 14:20Example number two. Compute the
  274. 14:22perimeter of the composite figure below.
  275. 14:25Find also the perimeter of the triangle
  276. 14:28A and B.
  277. 14:30Triangle A and triangle B have the same
  278. 14:34measurements of their sides, which is 6
  279. 14:37cm.
  280. 14:40Triangle A.
  281. 14:42Perimeter equals 6 cm + 6 cm + 6 cm
  282. 14:47equals
  283. 14:4918 cm.
  284. 14:51Or
  285. 14:53perimeter equals three times side
  286. 14:56or three times 6 cm equals
  287. 15:0018 cm.
  288. 15:03Triangle B.
  289. 15:05Perimeter equals 6 cm + 6 cm + 6 cm
  290. 15:11equals 18 cm.
  291. 15:14Or
  292. 15:16perimeter equals three times side
  293. 15:19or three times 6 cm equals 18 cm.
  294. 15:25What is the perimeter of the two
  295. 15:27triangles?
  296. 15:30Triangle A plus triangle B. To find the
  297. 15:33perimeter of the two triangles, add
  298. 15:36triangle A plus triangle B.
  299. 15:39So, 18 cm plus 18 cm equals 36 cm.
  300. 15:46Therefore, the perimeter of the two
  301. 15:48triangles is 36 cm.
  302. 15:53But, if we are solving for the perimeter
  303. 15:55of the composite figure, which is the
  304. 15:57rhombus, we add all the sides around the
  305. 16:00figure using this formula.
  306. 16:03Perimeter equals S1 plus S2 plus S3 plus
  307. 16:08S4, since the rhombus has four sides.
  308. 16:12Or, perimeter equals 6 cm plus 6 cm plus
  309. 16:186 cm plus 6 cm equals 24 cm.
  310. 16:24Therefore, the perimeter of the
  311. 16:26composite figure is 24 cm.
  312. 16:31And now, let's have activity number two.
  313. 16:34Instructions.
  314. 16:35For first activity, study the composite
  315. 16:38figure below. Then, answer the questions
  316. 16:41that follow.
  317. 16:43Choose only the letter of the correct
  318. 16:44answers. Write your answers on a
  319. 16:47separate sheet of paper.
  320. 16:49Number one.
  321. 16:51This is the composite figure.
  322. 16:54How many triangles are there in the
  323. 16:55figure?
  324. 16:57A, four.
  325. 16:58B, three.
  326. 17:00C, two.
  327. 17:02D, one. What is the correct answer?
  328. 17:10Very good. The correct answer is letter
  329. 17:13C, two. Triangle A and triangle B.
  330. 17:19Number two, what are the measurements of
  331. 17:21the sides of each triangle?
  332. 17:24Letter A, for triangle A and triangle B,
  333. 17:28side one equals 14 cm, side two 16 cm,
  334. 17:33side three 20 cm.
  335. 17:36Letter B, triangle A and triangle B,
  336. 17:40side one 7 cm, side two 14 cm, side
  337. 17:45three 16 cm.
  338. 17:48Letter C, triangle A and triangle B,
  339. 17:51side one 16 cm, side two 7 cm, side
  340. 17:57three 18 cm.
  341. 17:59Letter D, triangle A and triangle B,
  342. 18:03side one 7 cm, side two 16 cm, side
  343. 18:09three 15 cm. What is the correct answer?
  344. 18:18Very good. The correct answer is letter
  345. 18:22B.
  346. 18:24Number three, what is the perimeter of
  347. 18:26triangle A?
  348. 18:28Letter A, 7 cm + 14 cm - 16 cm = 35 cm.
  349. 18:38Letter B, 7 cm * 14 cm + 16 cm = 36 cm.
  350. 18:45[music]
  351. 18:47Letter C, 7 cm + 14 cm + 16 cm = 37 cm.
  352. 18:55And letter D, 7 cm + 14 cm * 16 cm = 38
  353. 19:03cm. What is the correct answer?
  354. 19:11Very good. The correct answer is letter
  355. 19:15C.
  356. 19:17Number four, what is the perimeter of
  357. 19:19triangle B?
  358. 19:21Letter A, 7 cm + 14 cm - 16 cm = 35 cm.
  359. 19:30Letter B, 7 cm + 14 cm + 16 cm = 36 cm.
  360. 19:38Letter C, 7 cm + 14 cm + 16 cm = 37 cm.
  361. 19:47And letter D, 7 cm + 14 cm * 16 cm = 38
  362. 19:54cm. What is the correct answer?
  363. 20:03Very good. The correct answer is letter
  364. 20:06C.
  365. 20:08Number five, what is the number sentence
  366. 20:10for the perimeter of the composite
  367. 20:12figure?
  368. 20:14Letter A, open and close parentheses 14
  369. 20:17cm + 14 cm + open and close parentheses
  370. 20:237 cm + 7 cm = n.
  371. 20:28Letter B,
  372. 20:30open and close parentheses 14 cm + 14 cm
  373. 20:35open and close parentheses 7 cm + 7 cm =
  374. 20:41n.
  375. 20:42Letter C, open and close parentheses 14
  376. 20:46cm + 14 cm * open and close parentheses
  377. 20:517 cm + 7 cm = n. And letter D, open and
  378. 20:57close parentheses 14 cm + 14 cm /
  379. 21:03open and close parentheses 7 cm + 7 cm =
  380. 21:08n. What is the correct answer?
  381. 21:15Very good. The correct answer is letter
  382. 21:19A.
  383. 21:21Number six, what is the perimeter of the
  384. 21:23composite figure composed of two
  385. 21:25triangles?
  386. 21:27A, 41 cm.
  387. 21:29B, 42 cm. C, 43 cm.
  388. 21:35D, 44 cm. What is the correct answer?
  389. 21:44Very good. The correct answer is letter
  390. 21:47B, 42 cm.
  391. 21:52For second activity, solve the perimeter
  392. 21:55of the following composite figures. Show
  393. 21:57your solutions. Choose any strategy in
  394. 22:01solving.
  395. 22:03For number one, what formula is to be
  396. 22:05used in computing the perimeter of the
  397. 22:08two triangles?
  398. 22:15Very good. The formula to be used is
  399. 22:19perimeter = 3 * side or perimeter = 3 *
  400. 22:24s or perimeter [music] = 3s.
  401. 22:29Number two, what is the perimeter of
  402. 22:31triangle A?
  403. 22:36Very good. The perimeter of triangle A
  404. 22:39is 36 cm
  405. 22:43because the side length is 12 cm.
  406. 22:46Multiply 12 cm by three. So, 3 * 12 = 36
  407. 22:51cm.
  408. 22:53Number three, what is the perimeter of
  409. 22:56triangle B?
  410. 23:02Correct. The perimeter of triangle B is
  411. 23:0636 cm because side B is also 12 cm.
  412. 23:11Multiply it by three, then the answer is
  413. 23:1436 cm.
  414. 23:17Number four.
  415. 23:19What is the perimeter of the two
  416. 23:20triangles?
  417. 23:26Very good. The perimeter of the two
  418. 23:28triangles is 72 cm.
  419. 23:32Just add triangle A and triangle B. 36 +
  420. 23:3636 = 72 cm.
  421. 23:40And for number five, what is the
  422. 23:42perimeter of the rhombus?
  423. 23:47Correct. The perimeter of the rhombus is
  424. 23:5048 cm.
  425. 23:53Just add all the sides of the rhombus.
  426. 23:55There are four sides, so 12 * 4 or 12 +
  427. 23:5912 + 12 + 12 = 48 cm.
  428. 24:05For third activity, study the figures
  429. 24:08below and solve the perimeter. Choose
  430. 24:11only the letter of the correct answer
  431. 24:13and write your answer on a separate
  432. 24:15sheet of paper. Choose any strategy
  433. 24:18which you think is easier for you to
  434. 24:20use.
  435. 24:21Number one. What is the perimeter of
  436. 24:24triangle A?
  437. 24:26A, 60 m. B, 61 m. C, 62 m. Or D, 63 m.
  438. 24:35What is the correct answer?
  439. 24:42Very good. The correct answer is 63 m
  440. 24:46because the sides of triangle A is 18 m,
  441. 24:5020 m, and 25 m.
  442. 24:53>> [music]
  443. 24:53>> Add them, then the answer is 63 m.
  444. 24:58Number two, what is the perimeter of
  445. 25:00triangle B?
  446. 25:02A, 62 m. B, 63 m. C, 64 m. D, 65 m. What
  447. 25:11is the correct answer?
  448. 25:17Very good. The correct answer is letter
  449. 25:20D, 65 m.
  450. 25:23Because triangle B have two the same
  451. 25:25sides, which is 25 m. 25 m + 25 m = 50
  452. 25:32m. Then the other side of triangle B is
  453. 25:3515 m.
  454. 25:37So, 50 m + 15 m = 65 m.
  455. 25:43Number three, what is the perimeter of
  456. 25:45triangle C?
  457. 25:47A, 61 m. B, 62 m. C, 63 m. D, 65 m. What
  458. 25:56is the correct answer?
  459. 26:02Very good. The correct answer is letter
  460. 26:05C, 63 m.
  461. 26:09For number four, what is the perimeter
  462. 26:12of triangle A and C?
  463. 26:15A, 126 m. B, 127 m. C, 128 m. D, 129 m.
  464. 26:27Just add the perimeter of triangle A and
  465. 26:30triangle C, and you will get the answer.
  466. 26:39Very good. The correct answer is letter
  467. 26:42A, 126 m.
  468. 26:46And for number five, what is the
  469. 26:48perimeter of the composite figure
  470. 26:50composed of three triangles.
  471. 26:52A, 81 m. B, 91 m. C, 101 m. [music] D,
  472. 27:00111 m.
  473. 27:02Just add the perimeter of the three
  474. 27:04triangles. Triangle A, triangle B, and
  475. 27:08triangle C. And you will get the answer.
  476. 27:16Very good. The correct answer is letter
  477. 27:19B, 91 m.
  478. 27:25So, kids, do you understand our lesson
  479. 27:28for today?
  480. 27:30Wow.
  481. 27:31>> [music]
  482. 27:32>> Good job.
  483. 27:35Kids, I hope you learned a lot from this
  484. 27:37lesson. Until our next topic, bye-bye,
  485. 27:40kids.
  486. 27:42Thank you for watching.
  487. 27:46>> [music]
  488. 30:44>> Mhm.
  489. 32:11>> Mhm.

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