[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-182044-en":3,"doc-seo-182044-105":29,"detail-sidebar-cat-0-en-105":88},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":20,"language":21,"language_code":22,"site_id":23,"html_lang":22,"table_of_contents":24,"faqs":25,"seo_title":26,"seo_description":14,"update_tm":27,"read_time":28},182044,1374391974468,"Eden","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",4,"Exam","Multiplication as Scaling - Scaling Superpower! - Lesson Outline","Multiplication as scaling for middle school focuses on how multiplying by whole numbers and fractions changes value. Through visual models using unit fractions and number lines, it explains that multiplying by a fraction greater than 1 increases the product, while multiplying by a fraction less than 1 decreases it. The lesson includes review prompts, application questions comparing outcomes for fractions, and assignment and classroom activities for posters and whiteboard diagrams.","Lesson for Middle School\nMultiplication\nas Scaling\nScaling Superpower!\nMultiplying Fractions and Whole\nNumbers\nLesson Outline\nMultiplication for Scaling\nIntroduction\nMultiplication can make the number bigger or smaller.\nLet's explore together how it works!\nMultiplying Numbers\nWhen we multiply a number by a whole number, the value of the number gets larger.\nWhen we multiply a number by a fraction,\nthe value of the number gets smaller.\nAfter multiplying the apples by 2,\nthe number of apples becomes 4.\nAfter getting one-half of the apple,\nthe number of apples becomes 1.\n2\n2 x 2\n2\n2 x\n1\n2\n7\n4\n4\n7\nA fraction less than 1\nhas a numerator less\nthan the denominator.\nLet’s Review\nA fraction greater than 1\nhas a numerator greater\nthan the denominator.\n3\n2\n4 x\n= 6\nMultiplying 4         by means having 3 groups of 4. Then, getting half of it.\n3\n2\nMultiplying by a Fraction greater than 1\n4\nMultiplying by a Fraction greater than 1\n4\nWe can see that from 4, it increases to 6.\n6\nWhen we multiply a number by a fraction greater than 1, the number increases.\nMultiplying by a Fraction less than 1\nMultiplying 4         by means having 3 groups of 4. Then, getting the fourth of it.\n3\n4\n3\n4\n4 x\n= 3\n4\nMultiplying by a Fraction less than 1\n4\nWe can see that from 4, it decreases to 3.\nWhen we multiply a number by a number less than 1, the number decreases.\n3\n5\n4\n3\n8\n9\n10\n2\n5\nWhich fractions, when multiplied from 10, will result in a higher number?\nWhich one will result\nin a lower number?\nSummary\nIn multiplying a number by a fraction,\nif the fraction is greater than 1, the value\nwill increase.\nif the fraction is less\nthan 1, the value\nwill decrease.\nAside from visual models, what are\nother ways to show the change\nin values when a number is multiplied\nby a fraction greater than or less than 1?\nAssignment\nMathspace. “8.02 Multiplication as scaling | Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023,https://mathspace.co/textbooks/syllabuses/Syllabus-\n1091/topics/Topic-21216/subtopics/Subtopic-274739/?searchString=\nMathspace. “8.03 Fractions of a quantity | Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-\n1091/topics/Topic-21216/subtopics/Subtopic-274740/?searchString=\nMathspace. “8.04 Multiples of unit fractions| Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-\n1091/topics/Topic-21216/subtopics/Subtopic-274741/?searchString=\nMathspace. “8.05 Multiply fractions by whole numbers | Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-\n1091/topics/Topic-21216/subtopics/Subtopic-274742/?searchString=\nReferences\nScaling Superpower!\nPoster Making Activity\nDesign a poster illustrating how multiplying\na number by a fraction greater than 1 or\nless than 1 affects the product's value.\nInstructions:\nIntroduce scaling through multiplication.\nMultiplying Fraction and Whole Numbers\nWhiteboard Activity\nAdd diagrams or illustrations.\nLabel important parts\nWhat happens when we multiply a number by a fraction greater than 1?\nPlace equations here.\nWrite a short explanation related to the illustration.\nInclude a footer for references, legends, and other footnotes.\nAdd diagrams or illustrations.\nLabel important parts\nWhat happens when we multiply a number by a fraction less than 1?\nPlace equations here.\nWrite a short explanation related to the illustration.\nInclude a footer for references, legends, and other footnotes.\nStep 1\nLocate        on the number line.\n2\n3\n2\n3\n4 x\nMARK THE\nWHOLE NUMBERS\n0\n1\nHow many equal parts should 1 unit be divided into?\nLet's explore the multiplication of fractions and whole numbers.\nFind the product of the given values using the number line.\nStep 2\nLocate 4 x         on the number line.\n2\n3\nUSE THE ARROWS TO EMPHASIZE THE NUMBER OF JUMPS\n0\n1\n2\n3\n4 x\n=\n?\n?\nLet’s Recap:\nAdd a main point here\nElaborate on what you want to discus","cbCaisxP448WQ6D6","https://ap.wps.com/l/cbCaisxP448WQ6D6","pptx",15182183,1,"English","en",105,"# Lesson Outline\n## Multiplication for Scaling\n## Introduction\n## Multiplying Numbers\n## Let’s Review\n## Multiplying by a Fraction greater than 1\n## Multiplying by a Fraction less than 1\n## Summary\n## Assignment\n## References\n## Poster Making Activity\n## Whiteboard Activity\n## Resource Page","[{\"question\":\"What does multiplication change when scaling with whole numbers and fractions?\",\"answer\":\"Multiplication makes the number bigger with whole numbers, and it can make the number smaller or bigger when scaling with fractions depending on whether the fraction is less than 1 or greater than 1.\"},{\"question\":\"How do you determine whether multiplying by a fraction increases or decreases the value?\",\"answer\":\"If the fraction is greater than 1, the value increases; if the fraction is less than 1, the value decreases.\"},{\"question\":\"How does the lesson use visual models to explain fraction multiplication?\",\"answer\":\"It uses examples with unit fractions and groups (e.g., making equal parts) and number lines with jumps to show how the product changes when multiplying by fractions greater than or less than 1.\"}]","Multiplication as Scaling - Scaling Superpower! 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