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The materials mix assessment-style prompts and classroom instruction examples aligned to Illinois Assessment of Readiness expectations. Students evaluate proportional relationships using equivalent ratios, tables, graphs, and coordinate-plane reasoning, then compute unit rates and constant of proportionality. Several questions require selecting correct rates, completing tables, computing average speed, and interpreting depth-time relationships for submarine scenarios.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/samples-to-success-mathematics-grade-7-ratios-proportional-relationships/538021/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/samples-to-success-mathematics-grade-7-ratios-proportional-relationships/538021.png","ImageObject",300,407,{"name":92,"@type":93},"hdkawk","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-10",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What kinds of tasks do these Grade 7 items focus on?","Question",{"text":112,"@type":113},"They focus on ratios and proportional relationships, including unit rates, deciding whether relationships are proportional, and representing proportional relationships with tables, graphs, and equations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do students determine whether two quantities are proportional?",{"text":117,"@type":113},"Students decide by checking equivalent ratios in a table or by graphing and observing whether the graph is a straight line through the origin.",{"name":119,"@type":110,"acceptedAnswer":120},"What is required to compute constant of proportionality or unit rates in these items?",{"text":121,"@type":113},"Students identify the constant of proportionality (unit rate) from tables, graphs, equations, diagrams, or verbal descriptions, and then use it to complete tables or write equations and contexts.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},538021,1791753505,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},3985747859855,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Samples to Success  \nSample items provide valuable insight into how students engage with different texts, tasks, and contexts, highlighting the types of opportunities they need for success in the classroom. These items offer a shared reference point for understanding proficiency expectations, complementing the assessment's role in measuring learning. By analyzing items alongside performance data, educators can gain a deeper understanding of students' strengths and areas for growth. Students thrive in environments rich with diverse materials, challenges that vary in task type, and multiple avenues for demonstrating understanding. High-quality instruction, aligned with the learning goals, is the most effective way to support students' growth and prepare them for success.  \nGRADE 7  \nThe items featured in this rubric are a mix of items representative of those found on the Illinois Assessment of Readiness (IAR) and items appropriate for classroom instruction to support and build the skills measured on the IAR. The distinction between a student scoring proficient and above proficient on the IAR is primarily determined by the total points earned on items that require modeling and/or reasoning. Students who can effectively explain and demonstrate their thinking are most likely to earn these points.  \nMATHEMATICS  \nRatios & Proportional Relationships  \n7.RP.1 Below Proficient Approaching Proficient Proficient Above Proficient  \nExpectation at Proficient:  \nCompute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.  \nWhich ratio represents the rate of driving 50 miles in one hour?  \nA. 50:1  \nB. 50:2  \nC. 100:3  \nD. 100:4  \nWhich rate is equivalent to 50 miles per hour?  \nA. 20 miles in 10 hours  \nB. 50 miles in 2 hours  \nC. 100 miles in 2 hours  \nD. 10 miles in 50 hours  \nWhich rate is equivalent to 50 miles per hour?  \nA. 20 miles in 30 minutes  \nB. 25 miles in 30 minutes  \nC. 30 miles in 20 minutes  \nD. 30 miles in 25 minutes  \nA car travels 240 miles in 3 hours and 45 minutes.  \nWhat is the car’s average speed, in miles per hour?  \nAnswer: 64  \nRatios & Proportional Relationships  \n7.RP.2a Expectation at Proficient:  \nDecide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.  \nThe depth, in meters, of a submarine and the time, in minutes, since it started a dive are shown in the table.  \nSubmarine Depth  \nAs time increases, the depth of the submarine increases.  \nBy how many meters does the submarine descend every 2 minutes?  \nA. 80  \nB. 100  \nC. 180  \nD. 260  \nThe depth, in meters, of a submarine and the time, in minutes, since it started a dive are shown in the table.  \nSubmarine Depth  \nWhat is the ratio of the depth after 2 minutes to the depth after 4  \nminutes?  \nAnswer: 80:160  \nWhat is the ratio of the depth after 6 minutes to the depth after 8  \nminutes?  \nAnswer: 240:320  \nThe depth, in meters, of a submarine and the time, in minutes, since it started a dive are shown in the table.  \nSubmarine Depth  \nIn the relationship, 􀝔 represents the time, in minutes, and 􀝕 represents the depth, in meters. Complete the following sentences.  \nThe data in the table (do/do not) represent a proportional relationship.  \nThe ordered pair [(3,100)/(5,200)] is also part of the relationship.  \nThe depth, in meters, of a submarine and the time, in minutes, since it started a dive are shown in the table.  \nSubmarine Depth  \nExplain if the data represent a proportional relationship.  \nNo; The student response should explain that while equivalent ratios are evident in the table, the graph will not pass through the origin.  \nBelow Proficient  \nApproaching Proficient  \nProficient  \nAbove Proficient  \n\n|  |  |\n| --- | --- |\n| Time\u003Cbr>(minutes) | Depth (meters) |\n| 2 | 80 |\n| 4 | 160 |\n| 6 | 240 |\n| 8 ","cbCaicF0U64t9X72","https://ap.wps.com/l/cbCaicF0U64t9X72","pdf",1074452,34,"English","# Ratios & Proportional Relationships\n## 7.RP.1\n## 7.RP.2a\n## 7.RP.2c","[{\"question\":\"What kinds of tasks do these Grade 7 items focus on?\",\"answer\":\"They focus on ratios and proportional relationships, including unit rates, deciding whether relationships are proportional, and representing proportional relationships with tables, graphs, and equations.\"},{\"question\":\"How do students determine whether two quantities are proportional?\",\"answer\":\"Students decide by checking equivalent ratios in a table or by graphing and observing whether the graph is a straight line through the origin.\"},{\"question\":\"What is required to compute constant of proportionality or unit rates in these items?\",\"answer\":\"Students identify the constant of proportionality (unit rate) from tables, graphs, equations, diagrams, or verbal descriptions, and then use it to complete tables or write equations and contexts.\"}]","Samples to Success - Mathematics Grade 7 - Ratios & Proportional Relationships | PDF",1791606004,86]