{"id":269008,"date":"2026-07-20T10:33:40","date_gmt":"2026-07-20T14:33:40","guid":{"rendered":"https:\/\/colegioconcepcionlosangeles.cl\/wp\/?p=269008"},"modified":"2026-07-20T10:33:47","modified_gmt":"2026-07-20T14:33:47","slug":"trabajando-aprendiendo-y-entreteniendose-junto-a-la-matematica","status":"publish","type":"post","link":"https:\/\/colegioconcepcionlosangeles.cl\/wp\/trabajando-aprendiendo-y-entreteniendose-junto-a-la-matematica\/","title":{"rendered":"Trabajando, aprendiendo y entreteni\u00e9ndose junto a la Matem\u00e1tica"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00bb1&#8243; admin_label=\u00bbsection\u00bb _builder_version=\u00bb4.16&#8243; global_colors_info=\u00bb{}\u00bb][et_pb_row admin_label=\u00bbrow\u00bb _builder_version=\u00bb4.16&#8243; background_size=\u00bbinitial\u00bb background_position=\u00bbtop_left\u00bb background_repeat=\u00bbrepeat\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb4_4&#8243; _builder_version=\u00bb4.16&#8243; custom_padding=\u00bb|||\u00bb pac_dcm_carousel_specific_module_num=\u00bb0&#8243; global_colors_info=\u00bb{}\u00bb custom_padding__hover=\u00bb|||\u00bb][et_pb_text _builder_version=\u00bb4.27.7&#8243; _module_preset=\u00bbdefault\u00bb hover_enabled=\u00bb0&#8243; sticky_enabled=\u00bb0&#8243;]Durante  el segundo d\u00eda de la   denominada <strong>\u201cSemana de la Matem\u00e1tica\u201d<\/strong>, y ya pasado el mediod\u00eda, las salas de clases del Primer Ciclo y el  hall central de nuestro colegio,  se convirtieron  en algunos  de los lugares en que se expuso  buena parte  de los trabajos  realizados  por los estudiantes de este nivel en la asignatura de Matem\u00e1tica.<\/p>\n<p>Problemas matem\u00e1ticos, c\u00e1lculo mental, juegos online, domin\u00f3, ludo, tangramas, representaci\u00f3n de cuerpos geom\u00e9tricos, entre tantos otros, fueron parte de los trabajos realizados y expuestos por los peque\u00f1os de este nivel.<\/p>\n<p>Estos trabajos realizados al interior del aula, permitieron  disfrutar de una exposici\u00f3n muy atractiva  que estuvo provista  de  novedosa informaci\u00f3n referida diferentes \u00e1mbitos en que la Matem\u00e1tica se hace presente en nuestras vidas. Esto gener\u00f3 un d\u00eda plagado de comentarios de  contenido reflexivo  que dio origen a conclusiones de alto valor intelectual.<\/p>\n<p>Paralelamente a esto, los integrantes del Segundo Ciclo de Ense\u00f1anza B\u00e1sica y Media terminaban de preparar sus temas a exponer el d\u00eda mi\u00e9rcoles.<\/p>\n<p>Ya al final del d\u00eda, los estudiantes de terceros y cuartos medios participaron de las denominadas <strong>\u201cOlimpiadas Internas de Matem\u00e1tica\u201d<\/strong>, donde l\u00fadicamente los  estudiantes se entretuvieron en diversas competencias matem\u00e1ticas y donde el objetivo esencial fue promover el pensamiento l\u00f3gico, el trabajo colaborativo, la resoluci\u00f3n de problemas y el entusiasmo por la Matem\u00e1tica.<\/p>\n<p>Sin duda, fue otro gran y significativo paso, hacia una mejor comprensi\u00f3n y valoraci\u00f3n de la Matem\u00e1tica en nuestras vidas. [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00bb1&#8243; _builder_version=\u00bb4.27.4&#8243; _module_preset=\u00bbdefault\u00bb locked=\u00bboff\u00bb global_colors_info=\u00bb{}\u00bb theme_builder_area=\u00bbpost_content\u00bb][et_pb_row _builder_version=\u00bb4.27.4&#8243; _module_preset=\u00bbdefault\u00bb width=\u00bb90%\u00bb max_width=\u00bb1200px\u00bb locked=\u00bboff\u00bb global_colors_info=\u00bb{}\u00bb theme_builder_area=\u00bbpost_content\u00bb][et_pb_column type=\u00bb4_4&#8243; _builder_version=\u00bb4.27.4&#8243; _module_preset=\u00bbdefault\u00bb pac_dcm_carousel_specific_module_num=\u00bb0&#8243; global_colors_info=\u00bb{}\u00bb theme_builder_area=\u00bbpost_content\u00bb][et_pb_code admin_label=\u00bbHTML\u00bb _builder_version=\u00bb4.27.4&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb theme_builder_area=\u00bbpost_content\u00bb]<\/p>\n<div class=\"gallery-container\"><!-- [et_pb_line_break_holder] -->  <\/p>\n<div class=\"gallery-grid\" id=\"gallery\"><\/div>\n<p><!-- [et_pb_line_break_holder] --><\/div>\n<p><!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --><\/p>\n<div class=\"modal-gallery\" id=\"imageModal-gallery\"><!-- [et_pb_line_break_holder] -->  <span class=\"close-btn\" id=\"closeModal-gallery\"><\/span><!-- [et_pb_line_break_holder] -->  <\/p>\n<div class=\"modal-content\"><!-- [et_pb_line_break_holder] -->    <img decoding=\"async\" src=\"\" alt=\"\" class=\"modal-image\" id=\"modalImage-gallery\"><!-- [et_pb_line_break_holder] -->    <button class=\"nav-btn prev-btn\" id=\"prevBtn-gallery\"><\/button><!-- [et_pb_line_break_holder] -->    <button class=\"nav-btn next-btn\" id=\"nextBtn-gallery\"><\/button><!-- [et_pb_line_break_holder] -->  <\/div>\n<p><!-- [et_pb_line_break_holder] --><\/div>\n<p>[\/et_pb_code][et_pb_code admin_label=\u00bbJS Integracion\u00bb _builder_version=\u00bb4.27.7&#8243; _module_preset=\u00bbdefault\u00bb hover_enabled=\u00bb0&#8243; global_colors_info=\u00bb{}\u00bb theme_builder_area=\u00bbpost_content\u00bb sticky_enabled=\u00bb0&#8243;]<script><!-- [et_pb_line_break_holder] -->  \/\/ Configuraci\u00f3n de Google Drive<!-- [et_pb_line_break_holder] -->  const FOLDER_ID = '1ekAmPx219eO8NHfjVrsaHqujtilm3e_F';<!-- [et_pb_line_break_holder] -->  const API_KEY = 'AIzaSyCks7mkFBSFT7EDo90lSdJK-ulCYyvCG6g';<!-- [et_pb_line_break_holder] -->  \/\/ Variables globales<!-- [et_pb_line_break_holder] -->  let images = [];<!-- [et_pb_line_break_holder] -->  let currentIndex = 0;<!-- [et_pb_line_break_holder] -->  let currentPage = 1;<!-- [et_pb_line_break_holder] -->  const imagesPerPage = 60; \/\/ Cambiar paginaci\u00f3n<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->  \/\/ Funci\u00f3n para mover el modal<!-- [et_pb_line_break_holder] -->  function moveModal() {<!-- [et_pb_line_break_holder] -->      const modal = document.getElementById('imageModal-gallery');<!-- [et_pb_line_break_holder] -->      const mainArea = document.getElementById('et-main-area');<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      if (modal && mainArea) {<!-- [et_pb_line_break_holder] -->         mainArea.parentNode.insertBefore(modal, mainArea.nextSibling);<!-- [et_pb_line_break_holder] -->      }<!-- [et_pb_line_break_holder] -->  }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->  \/\/ Funci\u00f3n para renderizar el header de la galer\u00eda<!-- [et_pb_line_break_holder] -->  function renderGalleryHeader() {<!-- [et_pb_line_break_holder] -->      const oldHeader = document.querySelector('.gallery-header');<!-- [et_pb_line_break_holder] -->      if (oldHeader) {<!-- [et_pb_line_break_holder] -->          oldHeader.remove();<!-- [et_pb_line_break_holder] -->      }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->      const header = document.createElement('div');<!-- [et_pb_line_break_holder] -->      header.className = 'gallery-header';<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      \/\/ Total de im\u00e1genes<!-- [et_pb_line_break_holder] -->      const totalImages = document.createElement('div');<!-- [et_pb_line_break_holder] -->      totalImages.className = 'total-images';<!-- [et_pb_line_break_holder] -->      totalImages.innerText = `Total: ${images.length} im\u00e1genes`;<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      \/\/ Selector de orden<!-- [et_pb_line_break_holder] -->      const orderSelector = document.createElement('select');<!-- [et_pb_line_break_holder] -->      orderSelector.className = 'order-selector';<!-- [et_pb_line_break_holder] -->      orderSelector.innerHTML = `<!-- [et_pb_line_break_holder] --><option value=\"recent\">M\u00e1s recientes<\/option><!-- [et_pb_line_break_holder] --><option value=\"oldest\">M\u00e1s antiguas<\/option><!-- [et_pb_line_break_holder] --><option value=\"az\">A-Z<\/option><!-- [et_pb_line_break_holder] --><option value=\"za\">Z-A<\/option><!-- [et_pb_line_break_holder] -->      `;<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      orderSelector.addEventListener('change', (e) => {<!-- [et_pb_line_break_holder] -->          sortImages(e.target.value);<!-- [et_pb_line_break_holder] -->          currentPage = 1;<!-- [et_pb_line_break_holder] -->          renderGallery();<!-- [et_pb_line_break_holder] -->          renderPagination();<!-- [et_pb_line_break_holder] -->          scrollToGalleryWithOffset();<!-- [et_pb_line_break_holder] -->      });<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      header.appendChild(totalImages);<!-- [et_pb_line_break_holder] -->      header.appendChild(orderSelector);<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      const gallery = document.getElementById('gallery');<!-- [et_pb_line_break_holder] -->      gallery.parentNode.insertBefore(header, gallery);<!-- [et_pb_line_break_holder] -->  }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->  function sortImages(orderType) {<!-- [et_pb_line_break_holder] -->      switch(orderType) {<!-- [et_pb_line_break_holder] -->          case 'recent':<!-- [et_pb_line_break_holder] -->              images.sort((a, b) => b.name.localeCompare(a.name));<!-- [et_pb_line_break_holder] -->              break;<!-- [et_pb_line_break_holder] -->          case 'oldest':<!-- [et_pb_line_break_holder] -->              images.sort((a, b) => a.name.localeCompare(b.name));<!-- [et_pb_line_break_holder] -->              break;<!-- [et_pb_line_break_holder] -->          case 'az':<!-- [et_pb_line_break_holder] -->              images.sort((a, b) => a.name.toLowerCase().localeCompare(b.name.toLowerCase()));<!-- [et_pb_line_break_holder] -->              break;<!-- 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[et_pb_line_break_holder] -->            const response = await fetch(url);<!-- [et_pb_line_break_holder] -->            const data = await response.json();<!-- [et_pb_line_break_holder] -->            const pageImages = data.files.filter(file =><!-- [et_pb_line_break_holder] -->                file.mimeType && file.mimeType.startsWith('image\/')<!-- [et_pb_line_break_holder] -->            );<!-- [et_pb_line_break_holder] -->            allImages = allImages.concat(pageImages);<!-- [et_pb_line_break_holder] -->            pageToken = data.nextPageToken ? `&pageToken=${data.nextPageToken}` : '';<!-- [et_pb_line_break_holder] -->        } while (pageToken);<!-- [et_pb_line_break_holder] -->        images = allImages;<!-- [et_pb_line_break_holder] -->        \/\/ Ordenar de m\u00e1s antigua a m\u00e1s reciente por defecto<!-- [et_pb_line_break_holder] -->        images.sort((a, b) => a.name.localeCompare(b.name));<!-- [et_pb_line_break_holder] -->        renderGalleryHeader();<!-- [et_pb_line_break_holder] -->        renderGallery();<!-- [et_pb_line_break_holder] -->        renderPagination();<!-- [et_pb_line_break_holder] -->    } catch (error) {<!-- [et_pb_line_break_holder] -->        console.error('Error al obtener las im\u00e1genes:', error);<!-- [et_pb_line_break_holder] -->    }<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->  \/\/ Funci\u00f3n para renderizar la galer\u00eda<!-- [et_pb_line_break_holder] -->  function renderGallery() {<!-- [et_pb_line_break_holder] -->      const gallery = document.getElementById('gallery');<!-- [et_pb_line_break_holder] -->      gallery.innerHTML = '';<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      const startIndex = (currentPage - 1) * imagesPerPage;<!-- [et_pb_line_break_holder] -->      const endIndex = Math.min(startIndex + imagesPerPage, images.length);<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      for (let i = startIndex; i < endIndex; i++) {<!-- [et_pb_line_break_holder] -->         const image = images[i];<!-- [et_pb_line_break_holder] -->         const item = document.createElement('div');<!-- [et_pb_line_break_holder] -->         item.className = 'gallery-item';<!-- [et_pb_line_break_holder] -->         <!-- [et_pb_line_break_holder] -->         const imageId = image.name.replace(\/\\.[^\/.]+$\/, \"\").replace(\/\\s+\/g, '-').toLowerCase();<!-- [et_pb_line_break_holder] -->         <!-- [et_pb_line_break_holder] -->         item.innerHTML = `<!-- [et_pb_line_break_holder] -->             <img decoding=\"async\" src=\"${image.thumbnailLink.replace('=s220', '=s1000')}\"<!-- [et_pb_line_break_holder] -->                  alt=\"${image.name}\"<!-- [et_pb_line_break_holder] -->                  class=\"gallery-image-${imageId}\"><!-- [et_pb_line_break_holder] -->              <button class=\"download-btn download-btn-${imageId}\"<!-- [et_pb_line_break_holder] -->                     data-url=\"${image.webContentLink}\"<!-- [et_pb_line_break_holder] -->                     title=\"Descargar\"><\/button><!-- [et_pb_line_break_holder] -->          `;<!-- [et_pb_line_break_holder] -->          item.querySelector('img').addEventListener('click', () => openModal(i));<!-- [et_pb_line_break_holder] -->          item.querySelector('.download-btn').addEventListener('click', (e) => {<!-- [et_pb_line_break_holder] -->              e.stopPropagation();<!-- [et_pb_line_break_holder] -->              downloadImage(image.webContentLink, image.name);<!-- [et_pb_line_break_holder] -->          });<!-- [et_pb_line_break_holder] -->          gallery.appendChild(item);<!-- [et_pb_line_break_holder] -->      }<!-- [et_pb_line_break_holder] -->  }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->function scrollToGalleryWithOffset() {<!-- [et_pb_line_break_holder] -->    const gallery = document.getElementById('gallery');<!-- [et_pb_line_break_holder] -->    const galleryPosition = gallery.getBoundingClientRect().top + window.pageYOffset - 70;<!-- [et_pb_line_break_holder] -->    window.scrollTo({<!-- [et_pb_line_break_holder] -->        top: galleryPosition,<!-- [et_pb_line_break_holder] -->        behavior: 'smooth'<!-- [et_pb_line_break_holder] -->    });<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->function renderPagination() {<!-- [et_pb_line_break_holder] -->      \/\/ Eliminar paginaci\u00f3n anterior si existe<!-- [et_pb_line_break_holder] -->      const oldPagination = document.querySelector('.pagination');<!-- [et_pb_line_break_holder] -->      if (oldPagination) {<!-- [et_pb_line_break_holder] -->          oldPagination.remove();<!-- [et_pb_line_break_holder] -->      }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->      const totalPages = Math.ceil(images.length \/ imagesPerPage);<!-- [et_pb_line_break_holder] -->      const paginationContainer = document.createElement('div');<!-- [et_pb_line_break_holder] -->      paginationContainer.className = 'pagination';<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      const prevButton = document.createElement('button');<!-- [et_pb_line_break_holder] -->      prevButton.innerText = 'Anterior';<!-- [et_pb_line_break_holder] -->      prevButton.className = 'pagination-btn';<!-- [et_pb_line_break_holder] -->      prevButton.disabled = currentPage === 1;<!-- [et_pb_line_break_holder] -->      prevButton.addEventListener('click', () => {<!-- [et_pb_line_break_holder] -->          if (currentPage > 1) {<!-- [et_pb_line_break_holder] -->              currentPage--;<!-- [et_pb_line_break_holder] -->              renderGallery();<!-- [et_pb_line_break_holder] -->              renderPagination();<!-- [et_pb_line_break_holder] -->              scrollToGalleryWithOffset();<!-- [et_pb_line_break_holder] -->          }<!-- [et_pb_line_break_holder] -->      });<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->      const nextButton = document.createElement('button');<!-- [et_pb_line_break_holder] -->      nextButton.innerText = 'Siguiente';<!-- [et_pb_line_break_holder] -->      nextButton.className = 'pagination-btn';<!-- [et_pb_line_break_holder] -->      nextButton.disabled = currentPage === totalPages;<!-- [et_pb_line_break_holder] -->      nextButton.addEventListener('click', () => {<!-- [et_pb_line_break_holder] -->          if (currentPage < totalPages) {<!-- [et_pb_line_break_holder] -->             currentPage++;<!-- [et_pb_line_break_holder] -->             renderGallery();<!-- [et_pb_line_break_holder] -->             renderPagination();<!-- [et_pb_line_break_holder] -->             scrollToGalleryWithOffset();<!-- [et_pb_line_break_holder] -->         }<!-- [et_pb_line_break_holder] -->     });<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->     const pageInfo = document.createElement('span');<!-- [et_pb_line_break_holder] -->     pageInfo.className = 'page-info';<!-- [et_pb_line_break_holder] -->     pageInfo.innerText = `P\u00e1gina ${currentPage} de ${totalPages}`;<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->     paginationContainer.appendChild(prevButton);<!-- [et_pb_line_break_holder] -->     paginationContainer.appendChild(pageInfo);<!-- [et_pb_line_break_holder] -->     paginationContainer.appendChild(nextButton);<!-- [et_pb_line_break_holder] -->     <!-- [et_pb_line_break_holder] -->     const gallery = document.getElementById('gallery');<!-- [et_pb_line_break_holder] -->     gallery.parentNode.appendChild(paginationContainer);<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> \/\/ Funciones del modal<!-- [et_pb_line_break_holder] --> const modal = document.getElementById('imageModal-gallery');<!-- [et_pb_line_break_holder] --> const modalImage = document.getElementById('modalImage-gallery');<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> function openModal(index) {<!-- [et_pb_line_break_holder] -->     currentIndex = index;<!-- [et_pb_line_break_holder] -->     updateModalImage();<!-- [et_pb_line_break_holder] -->     modal.style.display = 'block';<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> function closeModal() {<!-- [et_pb_line_break_holder] -->     modal.style.display = 'none';<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> function updateModalImage() {<!-- [et_pb_line_break_holder] -->     const imageUrl = images[currentIndex].thumbnailLink;<!-- [et_pb_line_break_holder] -->     modalImage.src = imageUrl.replace('=s220', '=s1400');<!-- [et_pb_line_break_holder] -->     modalImage.alt = images[currentIndex].name;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> function nextImage() {<!-- [et_pb_line_break_holder] -->     currentIndex = (currentIndex + 1) % images.length;<!-- [et_pb_line_break_holder] -->     updateModalImage();<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> function prevImage() {<!-- [et_pb_line_break_holder] -->     currentIndex = (currentIndex - 1 + images.length) % images.length;<!-- [et_pb_line_break_holder] -->     updateModalImage();<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> \/\/ Funci\u00f3n para descargar imagen<!-- [et_pb_line_break_holder] --> async function downloadImage(url, filename) {<!-- [et_pb_line_break_holder] -->     try {<!-- [et_pb_line_break_holder] -->         window.location.href = url;<!-- [et_pb_line_break_holder] -->     } catch (error) {<!-- [et_pb_line_break_holder] -->         console.error('Error al descargar la imagen:', error);<!-- [et_pb_line_break_holder] -->     }<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> \/\/ Event Listeners<!-- [et_pb_line_break_holder] --> document.getElementById('closeModal-gallery').addEventListener('click', closeModal);<!-- [et_pb_line_break_holder] --> document.getElementById('prevBtn-gallery').addEventListener('click', prevImage);<!-- [et_pb_line_break_holder] --> document.getElementById('nextBtn-gallery').addEventListener('click', nextImage);<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] --> \/\/ Cerrar modal al hacer clic en el overlay<!-- [et_pb_line_break_holder] --> modal.addEventListener('click', (e) => {<!-- [et_pb_line_break_holder] -->      if (e.target === modal) {<!-- [et_pb_line_break_holder] -->          closeModal();<!-- [et_pb_line_break_holder] -->      }<!-- [et_pb_line_break_holder] -->  });<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->  \/\/ Eventos de teclado<!-- 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