{"id":144,"date":"2022-04-13T10:09:05","date_gmt":"2022-04-13T10:09:05","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=144"},"modified":"2025-01-17T09:50:56","modified_gmt":"2025-01-17T09:50:56","slug":"h-2-model-polynomials-with-algebra-tiles","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/h-2-model-polynomials-with-algebra-tiles\/","title":{"rendered":"H.2 Model polynomials with algebra tiles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong> Model polynomials with algebra tiles<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-04d9d6410ea0aa79bd5fd62d138d8458\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<ol class=\"wp-block-list has-large-font-size\">\n<li><strong>Introduction to Algebra Tiles:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Algebra tiles are physical or virtual manipulatives that represent variables and constants in algebraic expressions.<\/li>\n\n\n\n<li>Tiles typically come in different colors and shapes, with each color representing a different algebraic element.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Basic Tile Representations:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Small squares or rectangles often represent positive unit values, while their negative counterparts are represented by tiles of the same shape but a different color.<\/li>\n\n\n\n<li>Larger tiles, such as rectangles or squares, represent variables raised to higher powers.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Building Monomials:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Monomials are algebraic expressions with a single term.<\/li>\n\n\n\n<li>Use tiles to represent constants (single-color tiles) and variables (tiles with multiple colors) to build monomials.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Adding and Subtracting Polynomials:<\/strong>\n<ul class=\"wp-block-list\">\n<li>To add or subtract polynomials, arrange tiles of like terms in columns.<\/li>\n\n\n\n<li>Combine tiles vertically to simplify the expression.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Multiplying Polynomials:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Use the area model to represent the product of two binomials.<\/li>\n\n\n\n<li>Arrange tiles to form rectangles, where the dimensions represent the factors, and the area represents the product.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Factoring Polynomials:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Represent factoring as the process of breaking down a rectangle into smaller rectangles.<\/li>\n\n\n\n<li>Identify common factors and use tiles to visually demonstrate factoring.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Understanding Zero Pairs:<\/strong>\n<ul class=\"wp-block-list\">\n<li>A zero pair occurs when a positive tile and a negative tile cancel each other out, resulting in zero.<\/li>\n\n\n\n<li>Emphasize the concept of balancing equations using zero pairs.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Visualizing Algebraic Operations:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Encourage students to manipulate the tiles to visually understand algebraic operations, fostering a deeper conceptual understanding.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Solving Equations:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Represent equations with tiles to demonstrate the equality concept.<\/li>\n\n\n\n<li>Use tiles to model the steps involved in solving equations, such as isolating the variable.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Interactive Learning:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Utilize both physical and virtual algebra tiles for interactive and engaging learning experiences.<\/li>\n\n\n\n<li>Online platforms may provide virtual manipulatives for practicing algebraic concepts.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e0ee9f\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-9980626f59d80aa5e371606c772c2f60\" style=\"color:#b00012\">\u27a1\ufe0f What&nbsp;expression does this set of algebra tiles&nbsp;represent?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-10.png\" alt=\"\" class=\"wp-image-3365\" style=\"aspect-ratio:2.2409090909090907;width:323px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-10.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-10-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Combine&nbsp;like terms. For example, write 3 instead of 1 + 1 +&nbsp;1.<\/p>\n<\/div><\/div>\n\n\n\n<p>Count&nbsp;the&nbsp;tiles:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__10_-removebg-preview.png\" alt=\"\" class=\"wp-image-3366\" style=\"aspect-ratio:2.2389380530973453;width:403px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__10_-removebg-preview.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__10_-removebg-preview-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px_-removebg-preview.png\" alt=\"\" class=\"wp-image-3367\" style=\"width:327px;height:48px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px_-removebg-preview.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>This&nbsp;set of algebra tiles represents the expression&nbsp;\u20134 x<sup>2 <\/sup>+ 4x + 1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a49cf3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-9980626f59d80aa5e371606c772c2f60\" style=\"color:#b00012\">\u27a1\ufe0f What&nbsp;expression does this set of algebra tiles&nbsp;represent?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-11.png\" alt=\"\" class=\"wp-image-3368\" style=\"aspect-ratio:2.2386831275720165;width:450px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-11.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-11-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Combine&nbsp;like terms. For example, write 3 instead of 1 + 1 +&nbsp;1.<\/p>\n<\/div><\/div>\n\n\n\n<p>Count&nbsp;the&nbsp;tiles:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__11_-removebg-preview.png\" alt=\"\" class=\"wp-image-3369\" style=\"aspect-ratio:2.2445414847161573;width:447px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__11_-removebg-preview.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__11_-removebg-preview-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px___1_-removebg-preview.png\" alt=\"\" class=\"wp-image-3371\" style=\"width:298px;height:44px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px___1_-removebg-preview.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px___1_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>This&nbsp;set of algebra tiles represents the expression&nbsp;\u20136x<sup>2<\/sup> + 9x.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f3a4a4\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-9980626f59d80aa5e371606c772c2f60\" style=\"color:#b00012\">\u27a1\ufe0f What&nbsp;expression does this set of algebra tiles&nbsp;represent?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12.png\" alt=\"\" class=\"wp-image-3372\" style=\"aspect-ratio:2.244047619047619;width:364px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Combine&nbsp;like terms. For example, write 3 instead of 1 + 1 +&nbsp;1.<\/p>\n<\/div><\/div>\n\n\n\n<p>Count&nbsp;the&nbsp;tiles:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__12_-removebg-preview.png\" alt=\"\" class=\"wp-image-3373\" style=\"aspect-ratio:2.2406417112299466;width:370px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__12_-removebg-preview.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__12_-removebg-preview-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px___2_-removebg-preview.png\" alt=\"\" class=\"wp-image-3375\" style=\"width:320px;height:47px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px___2_-removebg-preview.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___100px___2_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>This&nbsp;set of algebra tiles represents the expression&nbsp; \u20133x<sup>2<\/sup> + 5x + 10.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-de958b1a4063f290e26d3c9f69e175ba\" style=\"color:#d90000\">let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\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\"><a href=\"https:\/\/wordwall.net\/play\/85131\/327\/510\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-29.png\" alt=\"\" class=\"wp-image-6824\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-29.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-29-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-29-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\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\"><a href=\"https:\/\/wordwall.net\/play\/51754\/109\/213\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-47.png\" alt=\"\" class=\"wp-image-6825\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-47.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-47-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-47-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Model polynomials with algebra tiles key notes: Learn with an example \u27a1\ufe0f What&nbsp;expression does this set of algebra tiles&nbsp;represent? Combine&nbsp;like terms. For example, write 3 instead of 1 + 1 +&nbsp;1. Count&nbsp;the&nbsp;tiles: This&nbsp;set of algebra tiles represents the expression&nbsp;\u20134 x2 + 4x + 1. \u27a1\ufe0f What&nbsp;expression does this set of algebra tiles&nbsp;represent? Combine&nbsp;like terms. For<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/h-2-model-polynomials-with-algebra-tiles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.2 Model polynomials with algebra tiles&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-144","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=144"}],"version-history":[{"count":10,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/144\/revisions"}],"predecessor-version":[{"id":17412,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/144\/revisions\/17412"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}