[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-184082-en":3,"doc-seo-184082-105":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":21,"is_downloadable":21,"audit_status":21,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":20},184082,687197100911,"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 introducing the distinction between independent and dependent variables through everyday scenarios such as how age changes with the year of birth. Learning activities guide students to identify which variable drives change and which responds. The lesson explains how relationships are represented with graphs and tables, emphasizing the typical convention of x for the independent variable and y for the dependent variable. It also practices interpreting patterns like y = 2x.","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!","cbCaim50ZmS6LTc8","https://ap.wps.com/l/cbCaim50ZmS6LTc8","pptx",4941765,3,1,"English","en",105,"# Independent vs. Dependent Variables\n## Lesson Outline\n## Learning Outcomes\n# Identifying Variables in Scenarios\n# Representing Variables Using Graphs\n## Graph Axes Conventions\n# Representing Variables Using Tables\n## Reading Relationships from Columns\n# Using Rules to Connect x and y\n## Example: y = 2x","[{\"question\":\"What is the difference between an independent variable and a dependent variable?\",\"answer\":\"An independent variable changes and affects the situation. A dependent variable depends on it and changes in response.\"},{\"question\":\"How are independent and dependent variables represented on graphs?\",\"answer\":\"The independent variable is usually on the x-axis, and the dependent variable is usually on the y-axis.\"},{\"question\":\"How can a table help you identify variable relationships?\",\"answer\":\"A table shows the relationship by matching the values in corresponding columns. The same relationship shown in a graph will also be visible in the table.\"}]","Dependent and Independent Variables - Lesson for Middle School | PPTX",1788355842,{"code":4,"msg":30,"data":31},"ok",{"site_id":24,"language":23,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":84,"head_meta":86,"extra_data":88,"updated_unix":28},"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":21},"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":20},"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/184082/",{"url":50,"name":13,"@type":52,"author":53,"headline":13,"publisher":55,"fileFormat":58,"inLanguage":23,"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","2026-09-06","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 the difference between an independent variable and a dependent variable?","Question",{"text":73,"@type":74},"An independent variable changes and affects the situation. A dependent variable depends on it and changes in response.","Answer",{"name":76,"@type":71,"acceptedAnswer":77},"How are independent and dependent variables represented on graphs?",{"text":78,"@type":74},"The independent variable is usually on the x-axis, and the dependent variable is usually on the y-axis.",{"name":80,"@type":71,"acceptedAnswer":81},"How can a table help you identify variable relationships?",{"text":82,"@type":74},"A table shows the relationship by matching the values in corresponding columns. 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