{"id":992,"date":"2025-09-14T16:37:07","date_gmt":"2025-09-14T22:37:07","guid":{"rendered":"https:\/\/portal.pronea.gt\/?p=992"},"modified":"2025-09-14T16:41:40","modified_gmt":"2025-09-14T22:41:40","slug":"temporary-title-790-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2","status":"publish","type":"post","link":"https:\/\/portal.pronea.gt\/?p=992","title":{"rendered":"Construcci\u00f3n de gr\u00e1ficas en el plano cartesiano"},"content":{"rendered":"<div id=\"cmsmasters_row_\" class=\"cmsmasters_row cmsmasters_color_scheme_default cmsmasters_row_top_default cmsmasters_row_bot_default cmsmasters_row_boxed\">\n<div class=\"cmsmasters_row_outer_parent\">\n<div class=\"cmsmasters_row_outer\">\n<div class=\"cmsmasters_row_inner\">\n<div class=\"cmsmasters_row_margin\">\n<div id=\"cmsmasters_column_\" class=\"cmsmasters_column one_first\">\n<div class=\"cmsmasters_column_inner\"><div class=\"cmsmasters_text\" data-animation=\"fadeIn\">\n<p data-start=\"2106\" data-end=\"2346\">Las <strong data-start=\"2110\" data-end=\"2122\">gr\u00e1ficas<\/strong> son una forma visual de representar informaci\u00f3n matem\u00e1tica. Nos ayudan a comprender c\u00f3mo se relacionan las variables en una ecuaci\u00f3n o funci\u00f3n, facilitando la interpretaci\u00f3n de datos y su aplicaci\u00f3n en situaciones reales.<\/p>\n<p data-start=\"2348\" data-end=\"2422\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f3a5.svg\" alt=\"\ud83c\udfa5\" \/> <strong data-start=\"2351\" data-end=\"2373\">Mira el video aqu\u00ed<\/strong><\/p>\n<iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/iVpFrkchbS8?si=6qu3uN3sMm2CPUaB\" width=\"1120\" height=\"630\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\n<hr data-start=\"2424\" data-end=\"2427\" \/>\n<h2 data-start=\"2429\" data-end=\"2456\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4cd.svg\" alt=\"\ud83d\udccd\" \/> El plano cartesiano<\/h2>\n<p data-start=\"2457\" data-end=\"2509\">El <strong data-start=\"2460\" data-end=\"2480\">plano cartesiano<\/strong> est\u00e1 formado por dos ejes:<\/p>\n<ul>\n<li data-start=\"2512\" data-end=\"2540\">El <strong data-start=\"2515\" data-end=\"2524\">eje X<\/strong> (horizontal).<\/li>\n<li data-start=\"2543\" data-end=\"2569\">El <strong data-start=\"2546\" data-end=\"2555\">eje Y<\/strong> (vertical).<\/li>\n<\/ul>\n<p data-start=\"2571\" data-end=\"2684\">Cada punto se ubica con un par ordenado <span class=\"katex\"><span class=\"katex-mathml\">(x,y)(x, y)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">y<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span>, lo que permite representar n\u00fameros, funciones y relaciones.<\/p>\n<hr data-start=\"2686\" data-end=\"2689\" \/>\n<h2 data-start=\"2691\" data-end=\"2732\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f6e0.svg\" alt=\"\ud83d\udee0\ufe0f\" \/> Pasos para construir una gr\u00e1fica<\/h2>\n<ol data-start=\"2733\" data-end=\"2994\">\n<li data-start=\"2733\" data-end=\"2787\">\n<p data-start=\"2736\" data-end=\"2787\">Identificar los valores de la funci\u00f3n o ecuaci\u00f3n.<\/p>\n<\/li>\n<li data-start=\"2788\" data-end=\"2829\">\n<p data-start=\"2791\" data-end=\"2829\">Calcular pares ordenados <span class=\"katex\"><span class=\"katex-mathml\">(x,y)(x, y)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">y<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n<li data-start=\"2830\" data-end=\"2876\">\n<p data-start=\"2833\" data-end=\"2876\">Ubicar los puntos en el plano cartesiano.<\/p>\n<\/li>\n<li data-start=\"2877\" data-end=\"2939\">\n<p data-start=\"2880\" data-end=\"2939\">Unir los puntos de manera adecuada (l\u00ednea recta o curva).<\/p>\n<\/li>\n<li data-start=\"2940\" data-end=\"2994\">\n<p data-start=\"2943\" data-end=\"2994\">Analizar la forma y comportamiento de la gr\u00e1fica.<\/p>\n<\/li>\n<\/ol>\n<hr data-start=\"2996\" data-end=\"2999\" \/>\n<h2 data-start=\"3001\" data-end=\"3037\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f30d.svg\" alt=\"\ud83c\udf0d\" \/> Aplicaciones en la vida real<\/h2>\n<ul>\n<li data-start=\"3040\" data-end=\"3095\"><strong data-start=\"3040\" data-end=\"3053\">Econom\u00eda:<\/strong> representaci\u00f3n de ingresos y gastos. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4b0.svg\" alt=\"\ud83d\udcb0\" \/><\/li>\n<li data-start=\"3098\" data-end=\"3151\"><strong data-start=\"3098\" data-end=\"3109\">F\u00edsica:<\/strong> movimiento y velocidad en el tiempo. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/2699.svg\" alt=\"\u2699\ufe0f\" \/><\/li>\n<li data-start=\"3154\" data-end=\"3207\"><strong data-start=\"3154\" data-end=\"3170\">Estad\u00edstica:<\/strong> an\u00e1lisis de datos y tendencias. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4ca.svg\" alt=\"\ud83d\udcca\" \/><\/li>\n<li data-start=\"3210\" data-end=\"3254\"><strong data-start=\"3210\" data-end=\"3225\">Tecnolog\u00eda:<\/strong> modelaci\u00f3n de procesos. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4bb.svg\" alt=\"\ud83d\udcbb\" \/><\/li>\n<\/ul>\n<hr data-start=\"3256\" data-end=\"3259\" \/>\n<h2 data-start=\"3261\" data-end=\"3288\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f393.svg\" alt=\"\ud83c\udf93\" \/> Aprender con PRONEA<\/h2>\n<p data-start=\"3289\" data-end=\"3570\">El <strong data-start=\"3292\" data-end=\"3347\">Programa Nacional de Educaci\u00f3n Alternativa \u2013PRONEA\u2013<\/strong> del Ministerio de Educaci\u00f3n de Guatemala brinda estrategias claras y accesibles para que j\u00f3venes y adultos aprendan a construir y comprender gr\u00e1ficas, fortaleciendo sus competencias matem\u00e1ticas para la vida y el trabajo.<\/p>\n<hr data-start=\"3572\" data-end=\"3575\" \/>\n<h2 data-start=\"3577\" data-end=\"3594\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/2705.svg\" alt=\"\u2705\" \/> Conclusi\u00f3n<\/h2>\n<p data-start=\"3595\" data-end=\"3834\">La <strong data-start=\"3598\" data-end=\"3626\">construcci\u00f3n de gr\u00e1ficas<\/strong> en el plano cartesiano es una herramienta clave para interpretar y comunicar informaci\u00f3n matem\u00e1tica. Aprender a usarlas no solo facilita el estudio, sino tambi\u00e9n la toma de decisiones en la vida cotidiana.<\/p>\n<p data-start=\"3836\" data-end=\"3897\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f449.svg\" alt=\"\ud83d\udc49\" \/> <strong data-start=\"3839\" data-end=\"3895\">PRONEA: educaci\u00f3n pr\u00e1ctica para comprender el mundo.<\/strong><\/p>\n<\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":997,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"image","meta":{"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"footnotes":""},"categories":[33,39],"tags":[],"class_list":["post-992","post","type-post","status-publish","format-image","has-post-thumbnail","hentry","category-matematicas","category-recursos","post_format-post-format-image"],"_links":{"self":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/992","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=992"}],"version-history":[{"count":4,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/992\/revisions"}],"predecessor-version":[{"id":996,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/992\/revisions\/996"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/media\/997"}],"wp:attachment":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}