{"id":1483,"date":"2023-12-06T10:57:35","date_gmt":"2023-12-06T15:57:35","guid":{"rendered":"https:\/\/matherealiser.fse.ulaval.ca\/?page_id=1483"},"modified":"2023-12-06T10:57:35","modified_gmt":"2023-12-06T15:57:35","slug":"manipulatives-for-fractions","status":"publish","type":"page","link":"https:\/\/matherealiser.fse.ulaval.ca\/en\/manipulatives\/manipulatives-for-fractions\/","title":{"rendered":"Manipulatives for fractions"},"content":{"rendered":"\n<section class=\"wp-block-csrtcommun-gutenberg-block-bloc-strate  strate bg-undefined\" aria-label=\"\"><div class=\"strate-contenu\">\n<div class=\"wp-block-getwid-icon has-layout-framed\"><div class=\"wp-block-getwid-icon__wrapper has-text-color\" style=\"color:#f60404\"><i class=\"fas fa-cubes\"><\/i><\/div><\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-largeur-3-4 bloc-largeur-3-4__wrapper\">\n<h2 class=\"wp-block-heading margin-top-20 accent margin-top-50\">Manipulatives for fractions<\/h2>\n\n\n\n<p>This page presents various materials grouped into those with identified fractions and those without identified fractions. Beneath each material photo, additional characteristics are provided, along with an interactive version that can be projected onto an interactive whiteboard. The presented characteristics correspond to those of the material based on its construction, not on students&#8217; usage.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Manipulatives with Identified Fractions<\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"919\" height=\"1024\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Barres-de-fractions-919x1024.jpg\" alt=\"\" class=\"wp-image-936\" style=\"width:213px;height:238px\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Barres-de-fractions-919x1024.jpg 919w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Barres-de-fractions-269x300.jpg 269w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Barres-de-fractions-768x856.jpg 768w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Barres-de-fractions-1379x1536.jpg 1379w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Barres-de-fractions-1838x2048.jpg 1838w\" sizes=\"auto, (max-width: 919px) 100vw, 919px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Fraction Bars<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Proportional material.<\/li>\n\n\n\n<li>The whole is fixed.<\/li>\n\n\n\n<li>Part of a whole.<\/li>\n\n\n\n<li>Ability to represent a small variety of fractions.<\/li>\n\n\n\n<li>Representation in drawings identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.geogebra.org\/m\/gwtxfrby\">Math\u00e9R\u00e9aliser&#8217;s interactive version<\/a><\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper margin-top-10 texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.mathlearningcenter.org\/apps\/fractions\">Math Learning Center&#8217;s interactive version<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"892\" height=\"595\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Tours-de-fractions-avec-nombres.png\" alt=\"\" class=\"wp-image-1214\" style=\"aspect-ratio:1.4910714285714286;width:314px;height:auto\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Tours-de-fractions-avec-nombres.png 892w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Tours-de-fractions-avec-nombres-300x200.png 300w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Tours-de-fractions-avec-nombres-768x512.png 768w\" sizes=\"auto, (max-width: 892px) 100vw, 892px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion margin-top-50 has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Fraction Tower<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Proportional material.<\/li>\n\n\n\n<li>The whole is fixed.<\/li>\n\n\n\n<li>Part of a whole.<\/li>\n\n\n\n<li>Ability to represent a small variety of fractions.<\/li>\n\n\n\n<li>Representation in drawings identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.geogebra.org\/m\/nxmqgkjr\">Interactive version<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading margin-top-50\">Material with Unidentified Fractions<\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"771\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/blocs-mosaiques-1-1024x771.jpg\" alt=\"\" class=\"wp-image-944\" style=\"width:276px;height:208px\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/blocs-mosaiques-1-1024x771.jpg 1024w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/blocs-mosaiques-1-300x226.jpg 300w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/blocs-mosaiques-1-768x578.jpg 768w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/blocs-mosaiques-1-1536x1157.jpg 1536w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/blocs-mosaiques-1-2048x1542.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Mosaic Blocks<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Proportional material.<\/li>\n\n\n\n<li>The whole is not fixed.<\/li>\n\n\n\n<li>Part of a whole or a collection.<\/li>\n\n\n\n<li>Ability to represent a wide variety of fractions.<\/li>\n\n\n\n<li>Representation in drawing identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.mathlearningcenter.org\/apps\/pattern-shapes\">Math Learning Center&#8217;s interactive version<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"834\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/cercle-de-fractions-1024x834.jpg\" alt=\"\" class=\"wp-image-887\" style=\"width:257px;height:209px\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/cercle-de-fractions-1024x834.jpg 1024w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/cercle-de-fractions-300x244.jpg 300w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/cercle-de-fractions-768x625.jpg 768w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/cercle-de-fractions-1536x1251.jpg 1536w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/cercle-de-fractions-2048x1668.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Fraction Circles<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Proportional material.<\/li>\n\n\n\n<li>The whole is not fixed.<\/li>\n\n\n\n<li>Part of a whole.<\/li>\n\n\n\n<li>Possibility to represent a moderate variety of fractions.<\/li>\n\n\n\n<li>Representation in drawing identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.mathlearningcenter.org\/apps\/fractions\">Math Learning Center&#8217;s interactive version<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"771\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Jetons-1024x771.jpg\" alt=\"\" class=\"wp-image-834\" style=\"width:276px;height:208px\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Jetons-1024x771.jpg 1024w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Jetons-300x226.jpg 300w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Jetons-768x578.jpg 768w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Jetons-1536x1157.jpg 1536w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Jetons-2048x1542.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Tokens<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Non-proportional material.<\/li>\n\n\n\n<li>The whole is not fixed.<\/li>\n\n\n\n<li>Part of a collection.<\/li>\n\n\n\n<li>Ability to represent a wide variety of fractions.<\/li>\n\n\n\n<li>Representation in drawing identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.geogebra.org\/m\/jba39jr3\">Interactive version<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"691\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Legos-1024x691.jpg\" alt=\"Legos\" class=\"wp-image-948\" style=\"width:256px;height:208px\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Legos-1024x691.jpg 1024w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Legos-300x202.jpg 300w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Legos-768x518.jpg 768w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Legos-1536x1036.jpg 1536w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/09\/Legos-2048x1382.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Legos<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Proportional material.<\/li>\n\n\n\n<li>The whole is not fixed.<\/li>\n\n\n\n<li>Part of a whole or a collection.<\/li>\n\n\n\n<li>Ability to represent a wide variety of fractions.<\/li>\n\n\n\n<li>Representation in drawing identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.geogebra.org\/m\/bedceszb\">Interactive version<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"742\" height=\"728\" src=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Carres-de-fractions.png\" alt=\"Carr\u00e9s de fractions\" class=\"wp-image-1209\" style=\"aspect-ratio:1.0192307692307692;width:256px;height:auto\" srcset=\"https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Carres-de-fractions.png 742w, https:\/\/matherealiser.fse.ulaval.ca\/wp-content\/uploads\/sites\/13\/2023\/10\/Carres-de-fractions-300x294.png 300w\" sizes=\"auto, (max-width: 742px) 100vw, 742px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-getwid-accordion has-icon-left\" data-active-element=\"none\">\n<div class=\"wp-block-getwid-accordion__header-wrapper\"><span class=\"wp-block-getwid-accordion__header\"><a href=\"#\"><span class=\"wp-block-getwid-accordion__header-title\">Square Fractions<\/span><span class=\"wp-block-getwid-accordion__icon is-active\"><i class=\"fas fa-plus\"><\/i><\/span><span class=\"wp-block-getwid-accordion__icon is-passive\"><i class=\"fas fa-minus\"><\/i><\/span><\/a><\/span><\/div><div class=\"wp-block-getwid-accordion__content-wrapper\"><div class=\"wp-block-getwid-accordion__content\">\n<ul class=\"wp-block-list\">\n<li>Proportional material.<\/li>\n\n\n\n<li>The whole is fixed.<\/li>\n\n\n\n<li>Part of a whole or a collection.<\/li>\n\n\n\n<li>Ability to represent a wide variety of fractions.<\/li>\n\n\n\n<li>Representation in drawing identical to the material.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-csrtcommun-gutenberg-block-bloc-bouton-lien bouton-lien__wrapper  texte-gauche\"><a class=\"bouton-lien accent-blanc\" href=\"https:\/\/www.geogebra.org\/m\/wevvtrhh\">Interactive version<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n<div class=\"clearFix\"><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":67,"featured_media":0,"parent":1479,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-secondaire-pleine-page.php","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1483","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/pages\/1483","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/users\/67"}],"replies":[{"embeddable":true,"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/comments?post=1483"}],"version-history":[{"count":4,"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/pages\/1483\/revisions"}],"predecessor-version":[{"id":1567,"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/pages\/1483\/revisions\/1567"}],"up":[{"embeddable":true,"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/pages\/1479"}],"wp:attachment":[{"href":"https:\/\/matherealiser.fse.ulaval.ca\/en\/wp-json\/wp\/v2\/media?parent=1483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}