[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-184080-en":3,"doc-seo-184080-105":29,"detail-sidebar-cat-0-en-105":89},{"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":20,"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},184080,687197100911,"Himbo","https://ap-avatar.wpscdn.com/avatar/a000239b6f1da00475?x-image-process=image/resize,m_fixed,w_180,h_180&k=1785132997149421697",4,"Exam","Dependent and Independent Variables - Lesson for Middle School","A middle school lesson explains how independent variables and dependent variables work and how to recognize them in real-life situations. Learners practice identifying variables in examples such as age changing with the year of birth and then match those variables to graph axes. The lesson shows how graphs (x-axis for independent, y-axis for dependent) and tables can represent the same relationships, including a linear pattern like y = 2x and how to interpret it in terms of x and y.","Dependent and Independent Variables\nLesson for Middle School\nIndependent vs. Dependent Variables\nLesson Outline\nRepresenting Variables Using Tables and Graphs\nAside from hot air,\nwhat always goes up and does not come down?\nIdentify the independent and dependent variables in a given situation\nShow relationship between variables using graphs and tables\nLearning Outcomes\nVariable:\nChanging, Not fixed\nIndependent Variable\nDependent Variable\nType here\nType here\nIn the scenario below, identify the independent and dependent variables.\nCheckpoint Task\nTo prepare a glass of lemon juice, you need 1 tsp. of sugar.\nAnswer: Age\nIndependent and Dependent Variables\nAside from hot air, what always goes up and does not come down?\nEvery year, all people age. More years, higher age!\nWe can say that that the age depends on the year of birth!\nYear of birth is an independent variable. Why? Because age depends on it.\nAge is an example of a dependent variable as it can be affected by the year!\nIndependent and Dependent Variables\nThis is why independent variables are usually represented by x.\nInspect how the variables are graphed.\nUsing Graphs to Represent Variables\nIndependent variable in the x- axis.\nDependent variable in the y- axis.\nThus, y is usually used to represent them.\nAge (years)\nYear of Birth\nIndependent Variable\nDependent Variable\nType here\nType here\nPrice in US dollars (US$)\nNumber of Notebooks\nThe graph below shows the amount one has to pay when buying notebooks.\nIdentify the Variables Using the Graph\nFeel free to edit the table by drawing or directly typing your answer.\nNumber of Notebooks\nPrice (US$)\n1\n2\n2\n4\n3\n6\n4\n8\n5\n10\n6\n12\n7\n14\nPrice in US dollars (US$)\nNumber of Notebooks\nAside from graphs, tables may also be used to show the relationship of variables.\nUsing Tables to Represent Variables\nWhen using tables, the relationship of the variables can be identified by looking at  the columns.\nThe graph and the table give the same information!\nNumber of Notebooks\nPrice (US$)\n1\n2\n2\n4\n3\n6\n4\n8\n5\n10\n6\n12\n7\n14\ny = 2x\nUsing Tables to Represent Variables\nUsing the table, we can say:\nYou can use this rule to know the price based on the number of notebooks!\nThe total price depends on the number of notebooks.\nThe number corresponding to the total price of the notebook (y) is twice the number of notebooks (x).\nIn terms of x and y, this pattern can be simplified using the rule:\nHow will the rule change if you are given the total price (y) and is looking for the number of notebooks (x)?\ny = 2x\nMathspace. “6.05 Relationships between quantitites | Grade 6 Math | Common Core 6 - 2023 Edition.” Accessed 13 July 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-1155/topics/Topic-21891/subtopics/Subtopic-279768\nReference\nResource Page\nUse these design resources in your Canva Presentation.\nYou can find these fonts online too. Happy designing!\nThis presentation template uses the following free fonts:\nTitles: Oswald\nHeaders: Red Hat Display\nBody Copy: Red Hat Display\nCredits\nThis presentation template is free for everyone to use thanks to the following:\nSlidesCarnival for the presentation template\nPexels for the photos\nHappy designing!","cbCaiqOemVaDeEfV","https://ap.wps.com/l/cbCaiqOemVaDeEfV","pptx",4533908,1,"English","en",105,"# Independent vs. Dependent Variables\n## Lesson Outline\n# Representing Variables Using Tables and Graphs\n## Learning Outcomes\n## Checkpoint Task","[{\"question\":\"What is an independent variable in a scenario?\",\"answer\":\"An independent variable is the changing factor that affects another quantity. In the example, the year of birth is independent because age depends on it.\"},{\"question\":\"How do you identify the dependent variable?\",\"answer\":\"The dependent variable is the quantity that changes as a result of the independent variable. Age is dependent because it is affected by the year of birth.\"},{\"question\":\"Where do independent and dependent variables go on a graph?\",\"answer\":\"The independent variable is graphed on the x-axis, and the dependent variable is graphed on the y-axis.\"}]","Dependent and Independent Variables - Lesson for Middle School | PPTX",1788355831,3,{"code":4,"msg":30,"data":31},"ok",{"site_id":23,"language":22,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":84,"head_meta":86,"extra_data":88,"updated_unix":27},"dependent-and-independent-variables-lesson-for-middle-school","",{"@graph":35,"@context":83},[36,51,66],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,47,49],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":46},"https://docshare.wps.com/document/","Document",2,{"item":48,"name":12,"@type":42,"position":28},"https://docshare.wps.com/document/exam/",{"item":50,"name":13,"@type":42,"position":11},"https://docshare.wps.com/document/dependent-and-independent-variables-lesson-for-middle-school/184080/",{"url":50,"name":13,"@type":52,"author":53,"headline":13,"publisher":55,"fileFormat":58,"inLanguage":22,"description":14,"dateModified":59,"datePublished":60,"encodingFormat":58,"isAccessibleForFree":61,"interactionStatistic":62},"DigitalDocument",{"name":9,"@type":54},"Person",{"url":40,"name":56,"@type":57},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-09-05","2026-09-02",true,{"@type":63,"interactionType":64,"userInteractionCount":20},"InteractionCounter",{"@type":65},"ViewAction",{"@type":67,"mainEntity":68},"FAQPage",[69,75,79],{"name":70,"@type":71,"acceptedAnswer":72},"What is an independent variable in a scenario?","Question",{"text":73,"@type":74},"An independent variable is the changing factor that affects another quantity. In the example, the year of birth is independent because age depends on it.","Answer",{"name":76,"@type":71,"acceptedAnswer":77},"How do you identify the dependent variable?",{"text":78,"@type":74},"The dependent variable is the quantity that changes as a result of the independent variable. Age is dependent because it is affected by the year of birth.",{"name":80,"@type":71,"acceptedAnswer":81},"Where do independent and dependent variables go on a graph?",{"text":82,"@type":74},"The independent variable is graphed on the x-axis, and the dependent variable is graphed on the y-axis.","https://schema.org",{"og:url":50,"og:type":85,"og:title":13,"og:site_name":56,"og:description":14},"article",{"robots":87,"canonical":50},"index,follow",{"doc_id":7,"site_id":23},{"code":4,"msg":5,"data":90},[91,95,99,102,107,112,117,122,127,130,134],{"id":20,"doc_module":4,"doc_module_name":45,"category_name":92,"show_sort_weight":93,"slug":94},"Story & Novel",90,"story-novel",{"id":46,"doc_module":4,"doc_module_name":45,"category_name":96,"show_sort_weight":97,"slug":98},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":45,"category_name":12,"show_sort_weight":100,"slug":101},70,"exam",{"id":103,"doc_module":4,"doc_module_name":45,"category_name":104,"show_sort_weight":105,"slug":106},5,"Comic",60,"comic",{"id":108,"doc_module":4,"doc_module_name":45,"category_name":109,"show_sort_weight":110,"slug":111},6,"Technology",50,"technology",{"id":113,"doc_module":4,"doc_module_name":45,"category_name":114,"show_sort_weight":115,"slug":116},7,"Healthcare",40,"healthcare",{"id":118,"doc_module":4,"doc_module_name":45,"category_name":119,"show_sort_weight":120,"slug":121},8,"Research & Report",30,"research-report",{"id":123,"doc_module":4,"doc_module_name":45,"category_name":124,"show_sort_weight":125,"slug":126},9,"Religion & Spirituality",20,"religion-spirituality",{"id":125,"doc_module":4,"doc_module_name":45,"category_name":128,"show_sort_weight":125,"slug":129},"World Cup","world-cup",{"id":131,"doc_module":4,"doc_module_name":45,"category_name":132,"show_sort_weight":131,"slug":133},10,"Lifestyle","lifestyle",{"id":135,"doc_module":4,"doc_module_name":45,"category_name":136,"show_sort_weight":103,"slug":137},19,"General","general"]