{"id":9231,"date":"2026-08-10T09:31:24","date_gmt":"2026-08-10T09:31:24","guid":{"rendered":"https:\/\/www.disercom.es\/mirasierra\/?page_id=9231"},"modified":"2026-08-10T09:32:39","modified_gmt":"2026-08-10T09:32:39","slug":"matematicas-3","status":"publish","type":"page","link":"https:\/\/www.disercom.es\/mirasierra\/?page_id=9231","title":{"rendered":"Matem\u00e1ticas"},"content":{"rendered":"\n<!-- ==========================================================================\n     DEPARTAMENTO DE MATEM&Aacute;TICAS &mdash; IES Mirasierra\n     Bloque autocontenido: pegar en un bloque \"HTML personalizado\".\n     Todo el CSS va dentro y est&aacute; limitado al prefijo .bma (no afecta al resto).\n     Mismo sistema visual que el resto de departamentos:\n     paleta clara, Montserrat, una sola familia tipogr&aacute;fica.\n     Todas las letras acentuadas van escritas como entidades HTML\n     (&aacute;, &eacute;, &ccedil;...) para que las tildes no dependan de la\n     codificacion del editor de WordPress al pegar el bloque.\n     Maquetaci&oacute;n: Disercom (P. 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H&Eacute;ROE ================= -->\n  <header class=\"bma-hero\">\n    <div class=\"bma-hero__txt\">\n      <span class=\"bma-sello\">Departamento &middot; IES Mirasierra<\/span>\n      <h2 class=\"bma-titular\"><span>Matem&aacute;ticas<\/span><span class=\"hueca\">de 1.&ordm; a 2.&ordm; Bach<\/span><\/h2>\n      <p class=\"bma-hero__sub\">Doce materias entre la ESO y el Bachillerato, en dos itinerarios. Aqu&iacute; est&aacute;n todas, junto con la informaci&oacute;n del departamento y los criterios de calificaci&oacute;n.<\/p>\n      <nav class=\"bma-atajos\" aria-label=\"Ir a una secci&oacute;n\">\n        <a href=\"#asignaturas\">Asignaturas<\/a>\n        <a href=\"#criterios\">Criterios<\/a>\n        <a href=\"#actividades\">Actividades<\/a>\n      <\/nav>\n    <\/div>\n\n    <!-- El tri&aacute;ngulo de Pascal se construye fila a fila -->\n    <div class=\"bma-hero__fig\" aria-hidden=\"true\">\n      <svg viewBox=\"0 0 300 220\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n        <path class=\"bma-traza\" d=\"M150 18 L46 202 M150 18 L254 202\" pathLength=\"1\" stroke=\"#c8cdd8\" stroke-width=\"2\" stroke-linecap=\"round\"\/>\n        <g font-family=\"Montserrat, sans-serif\" font-weight=\"700\" font-size=\"21\" text-anchor=\"middle\" fill=\"#222630\">\n          <g class=\"bma-fila f0\"><text x=\"150\" y=\"44\">1<\/text><\/g>\n          <g class=\"bma-fila f1\"><text x=\"127\" y=\"82\">1<\/text><text x=\"173\" y=\"82\">1<\/text><\/g>\n          <g class=\"bma-fila f2\"><text x=\"104\" y=\"120\">1<\/text><text x=\"150\" y=\"120\">2<\/text><text x=\"196\" y=\"120\">1<\/text><\/g>\n          <g class=\"bma-fila f3\"><text x=\"81\" y=\"158\">1<\/text><text x=\"127\" y=\"158\">3<\/text><text x=\"173\" y=\"158\">3<\/text><text x=\"219\" y=\"158\">1<\/text><\/g>\n          <g class=\"bma-fila f4\" fill=\"#2c2e70\"><text x=\"58\" y=\"196\">1<\/text><text x=\"104\" y=\"196\">4<\/text><text x=\"150\" y=\"196\" fill=\"#8a4212\">6<\/text><text x=\"196\" y=\"196\">4<\/text><text x=\"242\" y=\"196\">1<\/text><\/g>\n        <\/g>\n      <\/svg>\n    <\/div>\n  <\/header>\n  <div class=\"bma-banda\" aria-hidden=\"true\"><i><\/i><i><\/i><i><\/i><i><\/i><\/div>\n\n  <!-- ================= 1 &middot; ASIGNATURAS ================= -->\n  <section class=\"bma-sec\" id=\"asignaturas\">\n    <div class=\"bma-cab\">\n      <div>\n        <span class=\"bma-ojo\">Oferta del departamento<\/span>\n        <h2>Asignaturas<\/h2>\n      <\/div>\n      <p>Materias por etapa y por itinerario. A partir de 3.&ordm; de ESO la asignatura se desdobla en dos v&iacute;as.<\/p>\n    <\/div>\n\n    <div class=\"bma-leyenda\">\n      <span><i style=\"background:#2c2e70\"><\/i>V&iacute;a acad&eacute;mica<\/span>\n      <span><i style=\"background:#8a4212\"><\/i>V&iacute;a aplicada<\/span>\n      <span><i style=\"background:#c9922a\"><\/i>Optativa de refuerzo<\/span>\n    <\/div>\n\n    <h3 class=\"bma-etapa\">Educaci&oacute;n Secundaria Obligatoria<\/h3>\n    <div class=\"bma-rejilla\">\n\n      <div class=\"bma-mat\">\n        <span class=\"curso\">1.&ordm; ESO<\/span>\n        <span class=\"nom\">Matem&aacute;ticas<\/span>\n        <span class=\"via\">Com&uacute;n<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\">\n        <span class=\"curso\">2.&ordm; ESO<\/span>\n        <span class=\"nom\">Matem&aacute;ticas<\/span>\n        <span class=\"via\">Com&uacute;n<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\" data-v=\"opt\">\n        <span class=\"curso\">1.&ordm; ESO &middot; Optativa<\/span>\n        <span class=\"nom\">Recuperaci&oacute;n de Matem&aacute;ticas<\/span>\n        <span class=\"via\">Refuerzo<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\" data-v=\"opt\">\n        <span class=\"curso\">2.&ordm; ESO &middot; Optativa<\/span>\n        <span class=\"nom\">Recuperaci&oacute;n de Matem&aacute;ticas<\/span>\n        <span class=\"via\">Refuerzo<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\">\n        <span class=\"curso\">3.&ordm; ESO<\/span>\n        <span class=\"nom\">Matem&aacute;ticas orientadas a las Ense&ntilde;anzas Acad&eacute;micas<\/span>\n        <span class=\"via\">V&iacute;a acad&eacute;mica<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\" data-v=\"apli\">\n        <span class=\"curso\">3.&ordm; ESO<\/span>\n        <span class=\"nom\">Matem&aacute;ticas orientadas a las Ense&ntilde;anzas Aplicadas<\/span>\n        <span class=\"via\">V&iacute;a aplicada<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\">\n        <span class=\"curso\">4.&ordm; ESO<\/span>\n        <span class=\"nom\">Matem&aacute;ticas orientadas a las Ense&ntilde;anzas Acad&eacute;micas<\/span>\n        <span class=\"via\">V&iacute;a acad&eacute;mica<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\" data-v=\"apli\">\n        <span class=\"curso\">4.&ordm; ESO<\/span>\n        <span class=\"nom\">Matem&aacute;ticas orientadas a las Ense&ntilde;anzas Aplicadas<\/span>\n        <span class=\"via\">V&iacute;a aplicada<\/span>\n      <\/div>\n\n    <\/div>\n\n    <h3 class=\"bma-etapa\">Bachillerato<\/h3>\n    <div class=\"bma-rejilla\">\n\n      <div class=\"bma-mat\">\n        <span class=\"curso\">1.&ordm; Bachillerato<\/span>\n        <span class=\"nom\">Matem&aacute;ticas I<\/span>\n        <span class=\"via\">V&iacute;a acad&eacute;mica<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\" data-v=\"apli\">\n        <span class=\"curso\">1.&ordm; Bachillerato<\/span>\n        <span class=\"nom\">Matem&aacute;ticas Aplicadas a las Ciencias Sociales<\/span>\n        <span class=\"via\">V&iacute;a aplicada<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\">\n        <span class=\"curso\">2.&ordm; Bachillerato<\/span>\n        <span class=\"nom\">Matem&aacute;ticas II<\/span>\n        <span class=\"via\">V&iacute;a acad&eacute;mica<\/span>\n      <\/div>\n\n      <div class=\"bma-mat\" data-v=\"apli\">\n        <span class=\"curso\">2.&ordm; Bachillerato<\/span>\n        <span class=\"nom\">Matem&aacute;ticas Aplicadas a las Ciencias Sociales<\/span>\n        <span class=\"via\">V&iacute;a aplicada<\/span>\n      <\/div>\n\n    <\/div>\n\n    <!-- REVISAR: \"Matem&aacute;ticas orientadas a las Ense&ntilde;anzas Acad&eacute;micas \/ Aplicadas\" es la\n         denominaci&oacute;n anterior a la LOMLOE, que en 4.&ordm; de ESO habla de Matem&aacute;ticas A y B.\n         Comprueba cu&aacute;l es la vigente en el centro y ajusta los nombres. -->\n    <p class=\"bma-nota\">Ninguna materia tiene ficha descargable propia; toda la informaci&oacute;n est&aacute; en el documento del departamento. Conviene adem&aacute;s revisar los nombres de las materias de 3.&ordm; y 4.&ordm; de ESO, que responden a la denominaci&oacute;n anterior a la LOMLOE.<\/p>\n  <\/section>\n\n  <!-- ================= 2 &middot; CRITERIOS ================= -->\n  <section class=\"bma-sec\" id=\"criterios\">\n    <div class=\"bma-cab\">\n      <div>\n        <span class=\"bma-ojo\">Evaluaci&oacute;n<\/span>\n        <h2>Criterios de calificaci&oacute;n<\/h2>\n      <\/div>\n      <p>Un &uacute;nico documento re&uacute;ne la informaci&oacute;n del departamento, las pendientes y los criterios.<\/p>\n    <\/div>\n\n    <a class=\"bma-doc\" href=\"https:\/\/site.educa.madrid.org\/ies.mirasierra.madrid\/\/wp-content\/uploads\/ies.mirasierra.madrid\/2025\/10\/Info-Dpto-Matematicas-para-la-web-oct2025.pdf\" target=\"_blank\" rel=\"noopener\">\n      <div>\n        <span class=\"curso\">Curso 2025-2026<\/span>\n        <span class=\"tit\">Informaci&oacute;n del departamento<\/span>\n        <p class=\"desc\">Criterios de evaluaci&oacute;n y calificaci&oacute;n de todas las materias, funcionamiento del departamento y procedimiento para el alumnado con matem&aacute;ticas pendientes de cursos anteriores.<\/p>\n      <\/div>\n      <span class=\"btn\">Descargar PDF<span class=\"oculto\"> (se abre en una pesta&ntilde;a nueva)<\/span><\/span>\n    <\/a>\n  <\/section>\n\n  <!-- ================= 3 &middot; ACTIVIDADES ================= -->\n  <section class=\"bma-sec\" id=\"actividades\">\n    <div class=\"bma-cab\">\n      <div>\n        <span class=\"bma-ojo\">Vida del departamento<\/span>\n        <h2>Actividades y recursos<\/h2>\n      <\/div>\n      <p>Charlas, efem&eacute;rides y trabajos del alumnado.<\/p>\n    <\/div>\n\n    <div class=\"bma-act\">\n\n      <a class=\"bma-card\" href=\"https:\/\/www.rsme.es\/2021\/05\/12-de-mayo-celebracion-de-las-mujeres-matematicas\/\" target=\"_blank\" rel=\"noopener\">\n        <img decoding=\"async\" src=\"https:\/\/site.educa.madrid.org\/ies.mirasierra.madrid\/\/wp-content\/uploads\/ies.mirasierra.madrid\/2021\/05\/divermates.jpg\" alt=\"Cartel de la celebraci&oacute;n del d&iacute;a de las mujeres matem&aacute;ticas\" loading=\"lazy\">\n        <div class=\"cuerpo\">\n          <h4>Mujeres matem&aacute;ticas<\/h4>\n          <p>El 12 de mayo se celebra el d&iacute;a de las mujeres matem&aacute;ticas, en recuerdo de Maryam Mirzakhani.<\/p>\n          <span class=\"cta\">Ver la convocatoria<\/span>\n        <\/div>\n      <\/a>\n\n      <a class=\"bma-card\" href=\"https:\/\/site.educa.madrid.org\/ies.mirasierra.madrid\/\/wp-content\/uploads\/ies.mirasierra.madrid\/2021\/11\/Dulce-geometria-2-scaled.jpg\" target=\"_blank\" rel=\"noopener\">\n        <img decoding=\"async\" src=\"https:\/\/site.educa.madrid.org\/ies.mirasierra.madrid\/\/wp-content\/uploads\/ies.mirasierra.madrid\/2021\/11\/DULCE-GEOMETRIA-1-scaled.jpg\" alt=\"Cuerpos geom&eacute;tricos construidos por el alumnado con material comestible\" loading=\"lazy\">\n        <div class=\"cuerpo\">\n          <h4>Dulce geometr&iacute;a<\/h4>\n          <p>El alumnado de Matem&aacute;ticas Acad&eacute;micas de 3.&ordm; de ESO construy&oacute; cuerpos geom&eacute;tricos en junio de 2021, entre las convocatorias ordinaria y extraordinaria.<\/p>\n          <span class=\"cta\">Ver otra foto<\/span>\n        <\/div>\n      <\/a>\n\n      <article class=\"bma-card\">\n        <img decoding=\"async\" src=\"https:\/\/site.educa.madrid.org\/ies.mirasierra.madrid\/\/wp-content\/uploads\/ies.mirasierra.madrid\/2021\/11\/Charla-Mates-feb-2020.jpg\" alt=\"Charla de un joven matem&aacute;tico ante el alumnado del instituto\" loading=\"lazy\">\n        <div class=\"cuerpo\">\n          <h4>Charlas matem&aacute;ticas en el Mirasierra<\/h4>\n          <p>El departamento organiza charlas de j&oacute;venes matem&aacute;ticos para despertar el inter&eacute;s por la asignatura entre el alumnado del centro.<\/p>\n        <\/div>\n      <\/article>\n\n    <\/div>\n\n    <!-- REVISAR: las tres actividades son de 2020 y 2021. Convendr&iacute;a a&ntilde;adir alguna reciente. -->\n    <p class=\"bma-nota\">La actividad de las charlas no llevaba enlace, as&iacute; que aparece sin bot&oacute;n. Las tres son de 2020 y 2021: convendr&iacute;a sumar alguna del curso actual.<\/p>\n  <\/section>\n\n  <!-- Cajet&iacute;n -->\n  <dl class=\"bma-cajetin\">\n    <div>\n      <dt>Departamento<\/dt>\n      <dd>Matem&aacute;ticas<\/dd>\n    <\/div>\n    <div>\n      <dt>Centro<\/dt>\n      <dd>IES Mirasierra<\/dd>\n    <\/div>\n    <div>\n      <dt>Curso<\/dt>\n      <dd>2025-2026<\/dd>\n    <\/div>\n    <div>\n      <dt>Consultas<\/dt>\n      <dd><a href=\"https:\/\/site.educa.madrid.org\/ies.mirasierra.madrid\/index.php\/contacto\/\">Contactar con el centro<\/a><\/dd>\n    <\/div>\n  <\/dl>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Departamento &middot; IES Mirasierra Matem&aacute;ticasde 1.&ordm; a 2.&ordm; Bach Doce materias entre la ESO y el Bachillerato, en dos itinerarios. Aqu&iacute; est&aacute;n todas, junto con la informaci&oacute;n del departamento y &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"footnotes":""},"class_list":["post-9231","page","type-page","status-publish","hentry"],"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"admin","author_link":"https:\/\/www.disercom.es\/mirasierra\/?author=1"},"rttpg_comment":0,"rttpg_category":null,"rttpg_excerpt":"Departamento &middot; IES Mirasierra Matem&aacute;ticasde 1.&ordm; a 2.&ordm; Bach Doce materias entre la ESO y el Bachillerato, en dos itinerarios. Aqu&iacute; est&aacute;n todas, junto con la informaci&oacute;n del departamento y ...","_links":{"self":[{"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=\/wp\/v2\/pages\/9231","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9231"}],"version-history":[{"count":2,"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=\/wp\/v2\/pages\/9231\/revisions"}],"predecessor-version":[{"id":9233,"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=\/wp\/v2\/pages\/9231\/revisions\/9233"}],"wp:attachment":[{"href":"https:\/\/www.disercom.es\/mirasierra\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}