{"id":6071,"date":"2021-12-03T08:52:11","date_gmt":"2021-12-03T08:52:11","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?p=6071"},"modified":"2023-01-19T18:56:38","modified_gmt":"2023-01-19T18:56:38","slug":"10-easy-tips-to-use-algebra-tiles","status":"publish","type":"post","link":"https:\/\/oryxlearning.com\/learn\/10-easy-tips-to-use-algebra-tiles\/","title":{"rendered":"10 Easy Tips to Use Algebra Tiles"},"content":{"rendered":"<p><strong>What are Algebra Tiles?<\/strong><br \/>\n<span data-preserver-spaces=\"true\"><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\">Algebra tiles<\/a> are manipulatives used in mathematics. This math manipulative promotes inquiry based learning. These virtual math manipulatives can help students better understand algebraic concepts and definitions. The tiles can be used to teach a variety of concepts, including counting, area, perimeter, and arithmetic, as well as equations, factoring quadratics, algebraic long division, and simultaneous equations. Learn how to represent and solve algebraic problems using these virtual algebra tiles to represent variables and constants. Factor and expand equations, substitute variable expressions, and solve equations. By adding tiles, deleting zero sets, and modeling equations, students can go through algebra.<br \/>\nIn this blog, we&#8217;ll look at a few <a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\">algebra tiles examples<\/a> of how Algebra tiles have been useful for teachers introducing this complex subject to students.<\/span><\/p>\n<p><strong>Counting<\/strong><br \/>\n<span data-preserver-spaces=\"true\">We introduce students to Algebra tiles at a young age by using them as simple counters, using only the small, square tile. We can ask students to use the tiles to represent a specific number or to count up or down from a certain starting number. This can be expanded to counting up or down in specific increments, such as &#8220;Here are 6 tiles; can you count up in twos until you have 10 tiles?&#8221;<\/span><\/p>\n<p><strong>Arithmetic<\/strong><br \/>\n<span data-preserver-spaces=\"true\">Algebra tiles can be used to teach the concept of equals sign. The equals sign can be introduced by establishing the rule that the number of tiles on both sides of the sign must always be the same. I recommend spending a lot of time with young children making number sentences like 4 = 4, 5 = 3 Plus 2, 7 = 10 &#8211; 3, and so on. It is impossible to ignore the significance of the equals sign.<\/span><\/p>\n<p>Counting can be extended by adding and subtracting positive numbers. These virtual algebra tiles can be used to demonstrate how addition and subtraction work, as well as to give numbers and symbols in number sentences meaning.<\/p>\n<p>Multiplication can be represented in a variety of ways through these <a href=\"https:\/\/en.oryxlearning.com\/manipulatives\">math manipulatives<\/a>, including arrays, areas, collections of groups, and so on.<\/p>\n<p>Grouping, sharing, and repeated subtraction are all examples of division.<\/p>\n<p>Negative number addition and subtraction involves the use of the reverse side of the tile, which is the first step in introducing the concept of Zero Pairs.<\/p>\n<p><strong>Zero Pairs<\/strong><br \/>\n<span data-preserver-spaces=\"true\">Zero Pairs is the most important concept in the use of Algebra Tiles. Many teachers want to get to using the tiles for algebraic expressions or equations as early as possible, so they don&#8217;t spend enough time establishing the notion of Zero Pairs. The effectiveness of using Algebra tiles is restricted unless this concept is well explained and understood.<\/span><\/p>\n<p>The reverse of each positive tile is a red tile. The tile&#8217;s red face represents the tile&#8217;s negative. Combining a tile with its red counterpart would result in a total area of zero because the red tile has the same absolute dimensions and area as the yellow tile.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6077 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/alge.png\" alt=\"\" width=\"141\" height=\"60\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">We may introduce addition and subtraction of integers using the Zero Pairs concept.<\/span><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Add Algebraic Expressions<\/strong><\/span><br \/>\n<span data-preserver-spaces=\"true\">Let\u2019s solve the following algebraic expression using algebra tiles.<br \/>\n(3x &#8211; 4) + (-x + 1)<\/span><\/p>\n<p><strong>1. Model each linear expression.<\/strong><br \/>\n<span data-preserver-spaces=\"true\">To model each linear expression, drag the virtual algebra tile that represents the corresponding part of the expression.<br \/>\nFirst, model the expression 3x &#8211; 4. Drag 3 green positive x tiles and 4 negative 1-tiles.<br \/>\nNext, model the expression -x + 1. Drag 1 red negative x tile and 1 positive 1-tile.<br \/>\n<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6074 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel.png\" alt=\"\" width=\"905\" height=\"600\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel.png 905w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-300x199.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-768x509.png 768w\" sizes=\"(max-width: 905px) 100vw, 905px\" \/><\/a><\/p>\n<p><strong>2. Remove all zero pairs.<\/strong><br \/>\n<span data-preserver-spaces=\"true\">Click on the eraser to remove all zero pairs. One positive x-tile will cancel one negative x-tile. Similarly, one negative 1-tile will cancel out one positive 1-tile. <\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6082 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy.png\" alt=\"\" width=\"905\" height=\"600\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy.png 905w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy-300x199.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy-768x509.png 768w\" sizes=\"(max-width: 905px) 100vw, 905px\" \/><\/a><\/p>\n<p><strong>3. Write a linear expression for the remaining tiles.<\/strong><br \/>\n<span data-preserver-spaces=\"true\">We can see that we have two positive x-tiles and three negative 1-tiles remaining. Hence, the answer is -2x &#8211; 3.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6084 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy-2.png\" alt=\"\" width=\"905\" height=\"600\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy-2.png 905w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy-2-300x199.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebraic-tiel-Copy-2-768x509.png 768w\" sizes=\"(max-width: 905px) 100vw, 905px\" \/><\/a><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Subtract Algebraic Expressions<\/strong><\/span><br \/>\n<span data-preserver-spaces=\"true\">Let\u2019s solve the following algebraic expression using virtual algebra tiles.<br \/>\n(x &#8211; 4) &#8211; (-2x + 1)<\/span><\/p>\n<p><strong>1. Model each linear expression.<\/strong><br \/>\n<span data-preserver-spaces=\"true\">First, model the expression x &#8211; 4. Drag 1 green positive x-tile and four negative 1-tiles.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6086 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub-1.png\" alt=\"\" width=\"896\" height=\"604\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub-1.png 896w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub-1-300x202.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub-1-768x518.png 768w\" sizes=\"(max-width: 896px) 100vw, 896px\" \/><\/a><\/p>\n<p><strong>2. Add or remove zero pairs as needed to subtract.<\/strong><br \/>\n<span data-preserver-spaces=\"true\">We can see that there is 1 positive green x-tile, and we need to remove 2 negative x-tiles. As we don\u2019t have any negative x-tile, we will have to add 2 zero pairs of x-tiles. <\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6088 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1.png\" alt=\"\" width=\"904\" height=\"607\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1.png 904w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-300x201.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-768x516.png 768w\" sizes=\"(max-width: 904px) 100vw, 904px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">Next, click on the eraser to remove 2 negative x-tiles. We have 3 green positive x-tiles remaining.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6090 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy.png\" alt=\"\" width=\"904\" height=\"607\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy.png 904w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy-300x201.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy-768x516.png 768w\" sizes=\"(max-width: 904px) 100vw, 904px\" \/><\/a><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6092 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy-2.png\" alt=\"\" width=\"904\" height=\"607\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy-2.png 904w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy-2-300x201.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub1-Copy-2-768x516.png 768w\" sizes=\"(max-width: 904px) 100vw, 904px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">We also have 4 negative 1-tiles, and we are asked to remove a positive 1-tile. As we don\u2019t have any positive 1-tiles, we need to add a zero pair of 1-tiles. Now we can easily remove a positive 1-tile using the eraser. We have 5 negative 1-tiles remaining.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6094 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4.png\" alt=\"\" width=\"906\" height=\"611\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4.png 906w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-300x202.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-768x518.png 768w\" sizes=\"(max-width: 906px) 100vw, 906px\" \/><\/a><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6096 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy.png\" alt=\"\" width=\"906\" height=\"611\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy.png 906w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy-300x202.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy-768x518.png 768w\" sizes=\"(max-width: 906px) 100vw, 906px\" \/><\/a><\/p>\n<p><strong>3. Write a linear expression for the remaining tiles.<\/strong><br \/>\n<span data-preserver-spaces=\"true\">We can see that we have 3 positive x-tiles and 5 negative 1-tiles remaining. Hence, the answer is 3x &#8211; 5.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6096 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy.png\" alt=\"\" width=\"906\" height=\"611\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy.png 906w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy-300x202.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algeb-sub4-Copy-768x518.png 768w\" sizes=\"(max-width: 906px) 100vw, 906px\" \/><\/a><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Divide Algebraic Equations<\/strong><\/span><br \/>\n<span data-preserver-spaces=\"true\">Let\u2019s solve the following algebraic equation using algebra tiles digital math manipulative.<br \/>\n2x = 6 <\/span><\/p>\n<p><span data-preserver-spaces=\"true\">1. First, model the expression 2x = 6. Drag 2 green positive x tiles on the left side of the mat and 6 positive 1-tiles on the right side of the mat.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6100 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv.png\" alt=\"\" width=\"1020\" height=\"568\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv.png 1020w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-300x167.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-768x428.png 768w\" sizes=\"(max-width: 1020px) 100vw, 1020px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">2. We have to find the value of one x-tile. In order to get x by itself, we have to split the x-tiles into 2 equal groups. We can easily split the x-tiles as shown. We now have 2 groups of 1x.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6102 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy.png\" alt=\"\" width=\"1020\" height=\"568\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy.png 1020w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-300x167.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-768x428.png 768w\" sizes=\"(max-width: 1020px) 100vw, 1020px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">3. Similarly, split the six 1-tiles into 2 equal groups. We can easily split the 1-tiles as shown. <\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6104 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy.png\" alt=\"\" width=\"1020\" height=\"568\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy.png 1020w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy-300x167.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy-768x428.png 768w\" sizes=\"(max-width: 1020px) 100vw, 1020px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">4. We can see that one group, or one x-tile equals three 1-tiles.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6106 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy-Copy.png\" alt=\"\" width=\"1020\" height=\"568\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy-Copy.png 1020w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy-Copy-300x167.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebdiv-Copy-Copy-Copy-768x428.png 768w\" sizes=\"(max-width: 1020px) 100vw, 1020px\" \/><\/a><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Substitute to Solve Algebraic Expressions <\/strong><\/span><br \/>\n<span data-preserver-spaces=\"true\">Let\u2019s solve the following algebraic expression using these <a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\">virtual algebra tiles<\/a>.<br \/>\nx + 7 when x = 4<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">1. Click on the Substitute button to change the layout.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6108 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti.png\" alt=\"\" width=\"925\" height=\"561\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti.png 925w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-300x182.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-768x466.png 768w\" sizes=\"(max-width: 925px) 100vw, 925px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">2. Drag one green x-tile and seven positive 1-tiles to model the expression x + 7 in the \u2018Expression\u2019 mat.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6110 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy.png\" alt=\"\" width=\"925\" height=\"561\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy.png 925w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-300x182.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-768x466.png 768w\" sizes=\"(max-width: 925px) 100vw, 925px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">3. As the value of x is already given, drag one positive x tile on the left side of the mat and four positive green tiles on the right side of the mat. We need \u2018substitute\u2019 the value of x i.e. 4 in place of x. <\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6114 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy-Copy.png\" alt=\"\" width=\"925\" height=\"561\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy-Copy.png 925w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy-Copy-300x182.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy-Copy-768x466.png 768w\" sizes=\"(max-width: 925px) 100vw, 925px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">4. Drag the 4 positive 1-tiles to the x-tile on the expression mat to \u2018replace\u2019 or \u2018substitute\u2019 with the green x-tile. Use the eraser to remove the x-tile tile as it has now been replaced.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6112 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy.png\" alt=\"\" width=\"925\" height=\"561\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy.png 925w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy-300x182.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebsubsti-Copy-Copy-768x466.png 768w\" sizes=\"(max-width: 925px) 100vw, 925px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">5. We now have 11 green 1-tiles. Hence the value of the expression x + 7, when x = 4, is 11.<\/span><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Expand Algebraic Expression<\/strong><\/span><br \/>\n<span data-preserver-spaces=\"true\">Let\u2019s expand the following algebraic expression using algebra tiles.<br \/>\n3x(2x &#8211; 3)<br \/>\n<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">1. Click on the Expand button to change the layout.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6116 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp.png\" alt=\"\" width=\"908\" height=\"558\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp.png 908w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp-300x184.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp-768x472.png 768w\" sizes=\"(max-width: 908px) 100vw, 908px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">2. Insert three green positive x-tiles to model 3x in the left side column. Insert two positive green x-tiles and three negative 1-tiles in the top row to model the expression 2x &#8211; 3.<br \/>\n<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6118 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1.png\" alt=\"\" width=\"905\" height=\"573\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1.png 905w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-300x190.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-768x486.png 768w\" sizes=\"(max-width: 905px) 100vw, 905px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">3. x times x is x<sup>2<\/sup>, so fill all the spaces with the positive x<sup>2<\/sup> tiles.<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6120 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy.png\" alt=\"\" width=\"905\" height=\"573\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy.png 905w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy-300x190.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy-768x486.png 768w\" sizes=\"(max-width: 905px) 100vw, 905px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">4. x times -1 is -x, so fill all the remaining spaces with negative x tiles.<br \/>\nHence, 3x(2x &#8211; 3) = 6x<sup>2<\/sup> \u2013 9x<\/span><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/manipulativetemplates\/algebratiles\"><img loading=\"lazy\" class=\"alignnone wp-image-6122 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy-Copy.png\" alt=\"\" width=\"905\" height=\"573\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy-Copy.png 905w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy-Copy-300x190.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/algebexp1-Copy-Copy-768x486.png 768w\" sizes=\"(max-width: 905px) 100vw, 905px\" \/><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">Teachers will provide an outstanding addition to their teaching toolkit by using this digital math manipulative. They can not only provide directed exploration opportunities for students but also allow their learners to develop a solid understanding of mathematics concepts that involve algebra. These engaging and dynamic algebra tiles math manipulatives will assist students in demonstrating and sharing their knowledge of how to solve simple and complex algebra concepts. Students will not only understand algebra but also develop a richer and more complex understanding of counting, area, perimeter, and arithmetic, as well as equations, factoring quadratics, algebraic long division, and simultaneous equations. Use <a href=\"https:\/\/oryxlearning.com\/\">Oryx Learning<\/a> virtual algebra tiles <a href=\"https:\/\/en.oryxlearning.com\/manipulatives\">digital math manipulatives<\/a> to help clarify misconceptions and build connections between concepts and representations.<br \/>\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are Algebra Tiles? Algebra tiles are manipulatives used in mathematics. This math manipulative promotes inquiry based learning. These virtual math manipulatives can help students better understand algebraic concepts and definitions. The tiles can be used to teach a variety of concepts, including counting, area, perimeter, and arithmetic, as well as equations, factoring quadratics, algebraic [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6072,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[294,2,267],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>10 Easy Tips to Use Algebra Tiles | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/10-easy-tips-to-use-algebra-tiles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"10 Easy Tips to Use Algebra Tiles\" \/>\n<meta property=\"og:description\" content=\"What are Algebra Tiles? 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