[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-262117-105":3,"detail-sidebar-cat-1-en-105":81,"doc-detail-262117-en":127},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","operations-with-integers-for-high-school-lesson-outline","Operations with Integers - for High School - Lesson Outline","","A high school lesson presentation focused on integer operations through addition and multiplication. It introduces the commutative property, showing that rearranging addends or factors does not change the sum or product. It also explains the associative property, emphasizing that changing grouping with parentheses preserves the resulting sum or product. Interactive examples and “Try This/Check” activities reinforce correct application, including identifying true vs. false equations.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/template/","Template",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/template/presentations/","Presentations",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/template/operations-with-integers-for-high-school-lesson-outline/262117/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/operations-with-integers-for-high-school-lesson-outline/262117.png","ImageObject",442,249,{"name":42,"@type":43},"Hazel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-10-30","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the commutative property mean for addition and multiplication?","Question",{"text":63,"@type":64},"For addition and multiplication, swapping the order of numbers does not change the sum or product. For example, a + b equals b + a, and a × b equals b × a.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How does the associative property work for integer addition and multiplication?",{"text":68,"@type":64},"The associative property states that changing the grouping of numbers using parentheses does not affect the final sum or product. For example, a + (b + c) equals (a + b) + c, and a × (b × c) equals (a × b) × c.",{"name":70,"@type":61,"acceptedAnswer":71},"How can students use these properties to find missing numbers or judge equations?",{"text":72,"@type":64},"Students can use the properties to rearrange or regroup numbers to match an equivalent expression. They then determine whether given equations are true or false by checking whether the operations preserve the same sum or product.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},262117,1791745489,{"code":4,"msg":82,"data":83},"success",[84,88,93,98,103,108,113,118,123],{"id":85,"doc_module":22,"doc_module_name":25,"category_name":29,"show_sort_weight":86,"slug":87},11,90,"presentations",{"id":89,"doc_module":22,"doc_module_name":25,"category_name":90,"show_sort_weight":91,"slug":92},12,"Resumes",80,"resumes",{"id":94,"doc_module":22,"doc_module_name":25,"category_name":95,"show_sort_weight":96,"slug":97},14,"Invoices",70,"invoices",{"id":99,"doc_module":22,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},15,"Posters",60,"posters",{"id":104,"doc_module":22,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},16,"Social Media",50,"social-media",{"id":109,"doc_module":22,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},17,"Forms",40,"forms",{"id":114,"doc_module":22,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},18,"Letters",30,"letters",{"id":119,"doc_module":22,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},21,"Paper Templates",5,"papers-templates",{"id":124,"doc_module":22,"doc_module_name":25,"category_name":125,"show_sort_weight":4,"slug":126},158,"General","general-158",{"code":4,"msg":82,"data":128},{"doc_id":79,"user_id":129,"nickname":42,"user_avatar":130,"doc_module":22,"category_id":85,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":136,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":12,"update_tm":140,"read_time":4,"preview_page_count":4},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Operations with Integers\nfor High School\nClick on the \"PowerPoint\" button below this presentation preview. Start editing your presentation.\nAlternative: From Canva template file, Click on the \"Share\" button on the top right corner in Canva and click on \"More\" at the bottom of the menu. Enter \"PowerPoint\" in the search bar and click on the PowerPoint icon to download.\nGoogle Slides\nPowerPoint\nCanva\nHow to Use This Presentation\nClick on the \"Google Slides\" button below this presentation preview. Make sure to sign in to your Google account. Click on \"Make a copy.\" Start editing your presentation.\nAlternative: Click on the \"Share\" button on the top right corner in Canva and click on \"More\" at the bottom of the menu. Enter \"Google Drive\" in the search bar and click on the GDrive icon to add this design as a Google slide in your GDrive.\nClick on the \"Canva\" button under this presentation preview. Start editing your presentation. You need to sign in to your Canva account.\nLesson Outline\nAddition\nMultiplication\nAddition\nMultiplication\nCommutative Property\nAssociative Property\nSpringboard Question\nbacon,\ntomato,\nlettuce\nlettuce\nand tomato sandwich\nand bacon sandwich?\nDoes a\ntaste the same as a\ndifferentiate commutative from associative property\nBy the end of the lesson, you'll be able to:\nLearning Outcomes\napply commutative and associative properties in integer operations\naddition\nmultiplication\nIt applies to\nbut not to\nsubtraction\ndivision\nIt states that rearranging the numbers does not affect the sum or product of numbers.\nCommutative Property\nCommutative Property of Multiplication\nRotating the grids below doesn't affect their areas.\n2 × 7 is the same as saying 7 × 2\n5 × 8 is the same as saying 8 × 5\na × b = b × a\n2\n4\n6\n9\na + b = b + a\nWhat is the sum if you add them\nstarting from the left most digit?\nWhat is the sum if you add them\nstarting from the right most digit?\n5\nCommutative Property of Addition\na + (b + c) = (a + b) + c\nAdd up all red fruits first, then add the bananas.\n(A)\n(B)\nAdd bananas and strawberries together, then add the apples.\nDid the total number of fruits change?\nAssociative Property of Addition\n16 × 15 × 13 = 15 ×\n−4 + (−10) =\n−3 + 9 = 9 +\nTry These!\n× 16\n+ (−4)\nAddition\nMultiplication\n15 + 19 = 19 +\nUse the commutative property to find the missing numbers.\n21 × (−250) = (-250) ×\n24 × 50 = 50 ×\naddition\nmultiplication\nIt applies to\nbut not to\nsubtraction\ndivision\nIt states that changing the grouping of the numbers using parentheses does not affect the sum and product of numbers.\nAssociative Property\na × (b × c) = (a × b) × c\nAssociative Property of Multiplication\n5\n2\n4\nWhat are the different ways you can rearrange these numbers to get the same product?\nExample:\n5 × (2 × 4)\n−5 × (2 × 7) = (−5 × 2) × 7\n−8 × (7 × 4)= (−8 × 7) × 4\n90 ÷ 6 ÷ (−3) = 90 ÷ (6 ÷ (−3))\n(−2 + 4) + 6 = (−2) + [4 + 6]\nUse the associative property to determine whether the equations below are true or false. Drag each equation to the corresponding column.\nTry This!\nTrue\nFalse\n27 + 4 + 9\nand\n9 + 27 + 4\nrelated to rearranging the numbers\nrelated to grouping of the numbers\n3 × (6 × 8)\nand\n6 × (3 × 8)\n99 + (1 + 100)\nand\n1 + (100 + 99)\n3 × 9 × 2\nand\n9 × 2 × 3\nLesson Check\nGroup the sticky notes correctly under the two headings:\nCommutative\nAssociative\nAssignment\nRead about the distributive property.\nHow does it differ from the commutative and associative properties? Does it apply to all operations: addition, subtraction, multiplication, and division?\nShare what you learned with the\nclass tomorrow.\nResource\nPage\nUse these design resources in your\nCanva Presentation.\nThis presentation template uses the following free fonts:\nTitles: Bungee\nHeaders: Caveat Brush\nBody Copy: Bai Jamjuree\nYou can find these fonts online too. Happy designing!\nDon't forget to delete this page\nbefore presenting.\nThis presentation template is free for everyone to use thanks to the following:\nSlidesCarnival for the presentation template\nPexels for the photos\nHappy designing!","cbCaieqcMHgdeAqj","https://ap.wps.com/l/cbCaieqcMHgdeAqj","pptx",3596877,"English","# Lesson Outline\n## Addition\n## Multiplication\n## Commutative Property\n## Associative Property\n## Try These!\n## Lesson Check\n## Assignment\n## Resource Page","[{\"question\":\"What does the commutative property mean for addition and multiplication?\",\"answer\":\"For addition and multiplication, swapping the order of numbers does not change the sum or product. For example, a + b equals b + a, and a × b equals b × a.\"},{\"question\":\"How does the associative property work for integer addition and multiplication?\",\"answer\":\"The associative property states that changing the grouping of numbers using parentheses does not affect the final sum or product. For example, a + (b + c) equals (a + b) + c, and a × (b × c) equals (a × b) × c.\"},{\"question\":\"How can students use these properties to find missing numbers or judge equations?\",\"answer\":\"Students can use the properties to rearrange or regroup numbers to match an equivalent expression. They then determine whether given equations are true or false by checking whether the operations preserve the same sum or product.\"}]","Operations with Integers - for High School - Lesson Outline | PPTX",1789359513]