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Includes worked examples such as ordering values, determining tricycles from wheel counts, and calculating lengths and side measures from similar triangles.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/answer-key-for-the-california-mathematics-standards-grade-6/498746/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/answer-key-for-the-california-mathematics-standards-grade-6/498746.png","ImageObject",300,407,{"name":42,"@type":43},"MrHarris58","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-14","2026-10-03",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What topics are covered in the Grade 6 answer key?","Question",{"text":63,"@type":64},"The answer key covers Grade 6 Number Sense skills, including comparing and ordering fractions/decimals/mixed numbers, interpreting ratios, and solving problems using proportions.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do students solve proportion problems in this material?",{"text":68,"@type":64},"The key uses cross-multiplication, treating it as multiplying both sides by a multiplicative inverse to solve for the unknown.",{"name":70,"@type":61,"acceptedAnswer":71},"What does NS 1.2 ask students to do?",{"text":72,"@type":64},"NS 1.2 focuses on interpreting and using ratios in different contexts and expressing them with appropriate notations such as a/b, a to b, and a:b.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},498746,1791444418,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145,"preview_page_count":4},687212988360,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","| Answer Key For The California Mathematics Standards\u003Cbr>Grade 6 |\n| --- |\n| \u003Cbr>Introduction: Summary of Goals\u003Cbr>GRADE SIX\u003Cbr>By the end of grade six, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers; they accurately compute and solve problems. They apply their knowledge to statistics and probability. Students understand the concepts of mean, median, and mode of data sets and how to calculate the range. They analyze data and sampling processes for possible bias and misleading conclusions they use addition and multiplication of fractions routinely to calculate the probabilities for compound events. Students conceptually understand and work with ratios and proportions; they compute percentages (e.g. , tax, tips, and interest) . Students know about p and the formulas for the circumference and area of a circle. They use letters for numbers in formulas involving geometric shapes and in ratios to represent an unknown part of an expression. They solve one-step linear equations. |\n\nLos Angeles County Office of Education: Mathematics National Center to Improve the Tools of Education  \ni.  \n\n| Answer Key For The California Mathematics Standards\u003Cbr>Grade 6 |  |  |  |  |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| Number Sense 1.0: Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages. |  |  |  |  |\n| NS 1.1: Students compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. |  |  |  |  |\n| a. After each number, write the letter that corresponds to the place it would be on the number line: |  |  |  |  |\n| -1310\u003Cbr>\u003Cbr>B | 1.8 | \u003Cbr>E | -0.5 | \u003Cbr>D |\n| 0.6 2.40 -2.4\u003Cbr> A  C  F \u003Cbr>F B D A E C\u003Cbr>\u003Cbr>\u003Cbr>➔      ➔\u003Cbr>b. List these values from lowest to highest: 2. 3, -1. 3, 1. 8, -0.2\u003Cbr>\u003Cbr>-1. 3, -0. 2, 1. 8, 2.3 |  |  |  |  |\n\nLos Angeles County Office of Education: Mathematics National Center to Improve the Tools of Education  \n1.  \n\n| Answer Key For The California Mathematics Standards\u003Cbr>Grade 6 |  |  |\n| --- | --- | --- |\n|  |  |  |\n| Number Sense 1.0: Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages. |  |  |\n| NS 1.2: Students interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations ( a/ b, a to b, a : b) . |  |  |\n| a. Write the following:\u003Cbr>1. The ratio of tricycles to tricycle wheels: |  | \u003Cbr>1 to 3, 1:3, or 1Ñ3 |\n| 2. The ratio of hands to fingers: 2:10, 1:5, or 1Ñ5\u003Cbr>b. If there are 6 tricycle wheels, how many tricycles are there?\u003Cbr>|  |  |\n| \u003Cbr>2 | \u003Cbr>~~ ~~13~~ ~~ = ~~ ~~n6~~ ~~ 3n = 6 n = 2 |  |\n| c. If there are 45 fingers, how many hands are there?\u003Cbr>~~ ~~15~~ ~~ = n45 5n = 45 n = 9 9\u003Cbr>d. If the ratio of boys to girls on the team is 2:3 and there are 12 girls, how many boys are there? |  |  |\n| \u003Cbr>8 | \u003Cbr>~~ ~~23~~ ~~ = ~~ ~~1n2~~ ~~ 3n = 24 n = 8 |  |\n\nLos Angeles County Office of Education: Mathematics National Center to Improve the Tools of Education  \n2.  \n\n| Answer Key For The California Mathematics Standards\u003Cbr>Grade 6 |\n| --- |\n|  |\n| Number Sense 1.0: Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages. |\n| NS 1.3: Students use proportions to solve problems (e.g. , determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon) . Use crossmultiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a mulitplicative inverse. |\n| \u003Cbr>a. Solve for n :\u003Cbr>b. Solve for n :\u003Cbr>182 = ~~ ~~n3~~ ","cbCainXwPczyT0lc","https://ap.wps.com/l/cbCainXwPczyT0lc","pdf",132754,37,"English","# Number Sense 1.0\n## NS 1.1\n## NS 1.2\n## NS 1.3","[{\"question\":\"What topics are covered in the Grade 6 answer key?\",\"answer\":\"The answer key covers Grade 6 Number Sense skills, including comparing and ordering fractions/decimals/mixed numbers, interpreting ratios, and solving problems using proportions.\"},{\"question\":\"How do students solve proportion problems in this material?\",\"answer\":\"The key uses cross-multiplication, treating it as multiplying both sides by a multiplicative inverse to solve for the unknown.\"},{\"question\":\"What does NS 1.2 ask students to do?\",\"answer\":\"NS 1.2 focuses on interpreting and using ratios in different contexts and expressing them with appropriate notations such as a/b, a to b, and a:b.\"}]","Answer Key For The California Mathematics Standards - Grade 6 | PDF",1790988604,93]