{"id":1955,"date":"2025-07-23T04:20:11","date_gmt":"2025-07-23T04:20:11","guid":{"rendered":"https:\/\/resources.kialo-edu.com\/?post_type=docs&#038;p=1955"},"modified":"2025-07-23T04:25:29","modified_gmt":"2025-07-23T04:25:29","password":"","slug":"myp-mathematics-investigating-a-mathematical-statement","status":"publish","type":"docs","link":"https:\/\/resources.kialo-edu.com\/en\/docs\/myp-mathematics-investigating-a-mathematical-statement\/","title":{"rendered":"Investigating a Mathematical Statement"},"content":{"rendered":"<p><strong>Statement of Inquiry:<\/strong> <em>Mathematicians use logic to understand mathematical relationships and thereby generalize how multiplication functions across number types when making scientific calculations.<\/em><\/p><p><strong>Concept Question:<\/strong> <em><em>Is it always true that multiplication increases a value?<\/em><\/em><\/p><p>Suggested length: 1 hour<\/p><p>Learning objectives:<\/p><ul class=\"wp-block-list\">\n<li>Objective B: Investigating patterns\n<ul class=\"wp-block-list\">\n<li>ii. describe patterns as relationships and\/or general rules consistent with findings<\/li>\n\n\n\n<li>iii. verify and justify relationships and\/or general rules.<\/li>\n<\/ul>\n<\/li>\n<\/ul><figure class=\"wp-block-table align-top\"><table class=\"has-background has-fixed-layout\" style=\"background-color:#e9f1fb\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Concepts<\/th><th class=\"has-text-align-center\" data-align=\"center\">Global Context<\/th><th class=\"has-text-align-center\" data-align=\"center\">ATL Skill<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">Logic<br>Relationships<br>Generalization<br>Validity<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Scientific and technical innovation:<\/strong> <br>Patterns in mathematics<br><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Critical thinking<\/strong>: <br>Draw justifiable conclusions and generalizations<br><br><\/td><\/tr><\/tbody><\/table><\/figure><style>#sp-ea-1960 .spcollapsing { height: 0; overflow: hidden; transition-property: height;transition-duration: 300ms;}#sp-ea-1960.sp-easy-accordion>.sp-ea-single {margin-bottom: 10px; border: 1px solid #e2e2e2; }#sp-ea-1960.sp-easy-accordion>.sp-ea-single>.ea-header a {color: #444;}#sp-ea-1960.sp-easy-accordion>.sp-ea-single>.sp-collapse>.ea-body {background: #fff; color: #444;}#sp-ea-1960.sp-easy-accordion>.sp-ea-single {background: #eee;}#sp-ea-1960.sp-easy-accordion>.sp-ea-single>.ea-header a .ea-expand-icon { float: left; color: #444;font-size: 16px;}<\/style><div id=\"sp_easy_accordion-1753090996\"><div id=\"sp-ea-1960\" class=\"sp-ea-one sp-easy-accordion\" data-ea-active=\"ea-click\" data-ea-mode=\"vertical\" data-preloader=\"\" data-scroll-active-item=\"\" data-offset-to-scroll=\"0\"><div class=\"ea-card sp-ea-single\"><h3 class=\"ea-header\"><a class=\"collapsed\" id=\"ea-header-19600\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse19600\" aria-controls=\"collapse19600\" href=\"#\" aria-expanded=\"false\" tabindex=\"0\"><i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Resources and Preparation<\/a><\/h3><div class=\"sp-collapse spcollapse spcollapse\" id=\"collapse19600\" role=\"region\" aria-labelledby=\"ea-header-19600\"> <div class=\"ea-body\"><ol><li><a href=\"https:\/\/support.kialo-edu.com\/en\/hc\/creating-a-discussion\/\" referrerpolicy=\"unsafe-url\">Set up a Kialo discussion<\/a> around the concept question with the thesis: &ldquo;<i>Multiplication always increases a value.<\/i>&rdquo;<ul><li>(Alternative questions can be found at the end of the downloadable lesson plan.)<\/li><\/ul><\/li><li>Use <a href=\"https:\/\/support.kialo-edu.com\/en\/hc\/about-tasks\/\" referrerpolicy=\"unsafe-url\">Tasks<\/a> and <a href=\"https:\/\/support.kialo-edu.com\/en\/hc\/small-group-mode\/\" referrerpolicy=\"unsafe-url\">Small Group Mode<\/a> to structure the discussion, if appropriate.<\/li><li><a href=\"https:\/\/support.kialo-edu.com\/en\/hc\/inviting-participants-to-a-discussion\/\" referrerpolicy=\"unsafe-url\">Share<\/a> the discussion with students.<\/li><\/ol><\/div><\/div><\/div><div class=\"ea-card sp-ea-single\"><h3 class=\"ea-header\"><a class=\"collapsed\" id=\"ea-header-19601\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse19601\" aria-controls=\"collapse19601\" href=\"#\" aria-expanded=\"false\" tabindex=\"0\"><i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Introduction<\/a><\/h3><div class=\"sp-collapse spcollapse spcollapse\" id=\"collapse19601\" role=\"region\" aria-labelledby=\"ea-header-19601\"> <div class=\"ea-body\"><p>Display the statement: <i>Multiplication always increases a value.<\/i><\/p><p>Think-pair-share: Ask students to discuss for two minutes and note down their thoughts.<\/p><p>Gather students&rsquo; initial ideas.<\/p><\/div><\/div><\/div><div class=\"ea-card sp-ea-single\"><h3 class=\"ea-header\"><a class=\"collapsed\" id=\"ea-header-19602\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse19602\" aria-controls=\"collapse19602\" href=\"#\" aria-expanded=\"false\" tabindex=\"0\"><i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Concept Formation<\/a><\/h3><div class=\"sp-collapse spcollapse spcollapse\" id=\"collapse19602\" role=\"region\" aria-labelledby=\"ea-header-19602\"> <div class=\"ea-body\"><p>Discuss the following questions with students:<\/p><p>What does the <i>logic<\/i> of multiplication tell us about how the operation behaves with different types of numbers?<\/p><p>How does the <i>relationship<\/i> between the multiplicand and the multiplier affect the outcome?<\/p><\/div><\/div><\/div><div class=\"ea-card sp-ea-single\"><h3 class=\"ea-header\"><a class=\"collapsed\" id=\"ea-header-19603\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse19603\" aria-controls=\"collapse19603\" href=\"#\" aria-expanded=\"false\" tabindex=\"0\"><i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Main Activity<\/a><\/h3><div class=\"sp-collapse spcollapse spcollapse\" id=\"collapse19603\" role=\"region\" aria-labelledby=\"ea-header-19603\"> <div class=\"ea-body\"><p>Students will work in small groups in their own copy of the Kialo discussion responding to the thesis:<i> Multiplication always increases a value.<\/i><\/p><p>Explain that students can use PROS to support the statement and CONS to challenge it, building their argument using claims, examples, and explanations.<\/p><p>Model the following example before students begin:<\/p><ul><li><b>Claim:<\/b> Multiplying increases a value when you multiply by any whole number greater than 1.<\/li><li><b>Example<\/b>: 5&times;3=15 &mdash; 15 is greater than 5.<\/li><li><b>Explanation<\/b>: When you multiply by a whole number greater than 1, you are adding that number to itself multiple times.<\/li><li><b>Example<\/b>: For example, 5&times;3 is the same as 5+5+5, which increases the value.<\/li><\/ul><\/div><\/div><\/div><div class=\"ea-card sp-ea-single\"><h3 class=\"ea-header\"><a class=\"collapsed\" id=\"ea-header-19604\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse19604\" aria-controls=\"collapse19604\" href=\"#\" aria-expanded=\"false\" tabindex=\"0\"><i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Reflection Activity<\/a><\/h3><div class=\"sp-collapse spcollapse spcollapse\" id=\"collapse19604\" role=\"region\" aria-labelledby=\"ea-header-19604\"> <div class=\"ea-body\"><p>Discuss the following questions in open discussion or exit ticket format:<\/p><ul><li>Generalization: Can you generalize a rule about what happens when you multiply by numbers greater than 1, less than 1, or equal to 0 or 1?<\/li><li>Validity: Is the statement &ldquo;<i>Multiplication always increases a value&rdquo;<\/i> valid in all situations? If not, under what conditions is it valid or invalid?<\/li><\/ul><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Statement of Inquiry: Mathematicians use logic to understand mathematical relationships and thereby generalize how multiplication functions across number types when making scientific calculations.Concept Question: Is it always true that multiplication increases a value?Suggested length: 1 hourLearning objectives: Concepts Global Context ATL Skill LogicRelationshipsGeneralizationValidity Scientific and technical innovation: Patterns in mathematics Critical thinking: Draw justifiable conclusions [&hellip;]<\/p>\n","protected":false},"author":33,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false,"wds_primary_doc_category":0,"wds_primary_doc_tag":0,"footnotes":""},"doc_category":[35],"doc_tag":[],"class_list":["post-1955","docs","type-docs","status-publish","hentry","doc_category-maths-myp"],"acf":[],"year_month":"2026-05","word_count":82,"total_views":"23","reactions":{"happy":"0","normal":"0","sad":"0"},"author_info":{"name":"Louise","author_nicename":"louise","author_url":"https:\/\/resources.kialo-edu.com\/en\/author\/louise\/"},"doc_category_info":[{"term_name":"Mathematics","term_url":"https:\/\/resources.kialo-edu.com\/en\/docs-category\/maths-myp\/"}],"doc_tag_info":[],"knowledge_base_info":[],"knowledge_base_slug":[],"_links":{"self":[{"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/docs\/1955","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/comments?post=1955"}],"version-history":[{"count":0,"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/docs\/1955\/revisions"}],"wp:attachment":[{"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/media?parent=1955"}],"wp:term":[{"taxonomy":"doc_category","embeddable":true,"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/doc_category?post=1955"},{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/resources.kialo-edu.com\/en\/wp-json\/wp\/v2\/doc_tag?post=1955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}