[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-483225-105":59,"doc-detail-483225-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","mathematical-process-standards-71-mathematical-processes","Mathematical Process Standards - 7.1 - Mathematical processes","","Mathematical Process Standards define what students should do to acquire and demonstrate mathematical understanding. The materials list seven process components, including applying mathematics to everyday, social, and workplace problems; using a structured problem-solving model; selecting tools such as manipulatives and technology; and communicating reasoning through multiple representations. They also cover creating representations, analyzing relationships, and displaying and justifying arguments using precise mathematical language. Following this, the document outlines knowledge and skills for number, operations, proportionality, expressions and equations, and personal financial literacy.",{"@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/mathematical-process-standards-71-mathematical-processes/483225/",{"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/mathematical-process-standards-71-mathematical-processes/483225.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do Mathematical Process Standards require students to do?","Question",{"text":112,"@type":113},"They require students to use mathematical processes to acquire and demonstrate mathematical understanding, including solving problems, selecting appropriate tools, and communicating reasoning.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which tools and techniques are suggested for solving problems?",{"text":117,"@type":113},"Students should select tools such as real objects, manipulatives, paper and pencil, and technology, and use techniques like mental math, estimation, and number sense as appropriate.",{"name":119,"@type":110,"acceptedAnswer":120},"What topics are covered in the Knowledge and Skills Statements from 7.2 to 7.13?",{"text":121,"@type":113},"They cover number and operations, proportionality, expressions and equations, measurement and data analysis, and personal financial literacy.","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},483225,1793115288,{"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":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24,"preview_page_count":4},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","| Mathematical Process Standards |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 7.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. |  |  |  |  |  |  |\n| Tools to Know Ways to Show |  |  |  |  |  |  |\n| 7.1(A) | 7.1(B) | 7.1(C) 7.1(D) |  | 7.1(E) | 7.1(F) | 7.1(G) |\n| apply mathematics to problems arising in everyday life, society, and the workplace | use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution | select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems | communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate | create and use representations to organize, record, and communicate mathematical ideas | analyze mathematical relationships to connect and communicate mathematical ideas | display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication |\n\n\n| Knowledge and Skills Statements |\n| --- |\n| 7.2 Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. |\n| 7.3 Number and operations. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions. |\n| 7.4 Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. |\n| 7.5 Proportionality. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships. |\n| 7.6 Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. |\n| 7.7 Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations. |\n| 7.8 Expressions, equations, and relationships. The student applies mathematical process standards to develop geometric relationships with volume. |\n| 7.9 Expressions, equations, and relationships. The student applies mathematical process standards to solve geometric problems. |\n| 7.10 Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations. |\n| 7.11 Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities. |\n| 7.12 Measurement and data. The student applies mathematical process standards to use statistical representations to analyze data. |\n| 7.13 Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. |\n\n\n| Rptg Cat | STAAR | Readiness Standards |  | Supporting Standards |\n| --- | --- | --- | --- | --- |\n| 1\u003Cbr>Probability and Numerical Representations | 6 | 7. 6(H) solve problems using qualitative and quantitative predictions and comparisons from simple experiments\u003Cbr>7. 6(I) determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces |  | 7. 2(A) extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers\u003Cbr>7. 6(A) represent sample spaces for simple and compound events using lists and tree diagrams\u003Cbr>7. 6(C) make predict","cbCairbDJp6M8NuK","https://ap.wps.com/l/cbCairbDJp6M8NuK","pdf",195786,"English","# Mathematical Process Standards\n## 7.1 Mathematical process standards\n## Tools to know ways to show (7.1A–7.1G)\n# Knowledge and Skills Statements (7.2–7.13)\n## 7.2 Number and operations\n## 7.3 Number and operations\n## 7.4–7.6 Proportionality\n## 7.7–7.11 Expressions, equations, and relationships\n## 7.12 Measurement and data\n## 7.13 Personal financial literacy\n# Rptg Cat to STAAR (Readiness and Supporting Standards)","[{\"question\":\"What do Mathematical Process Standards require students to do?\",\"answer\":\"They require students to use mathematical processes to acquire and demonstrate mathematical understanding, including solving problems, selecting appropriate tools, and communicating reasoning.\"},{\"question\":\"Which tools and techniques are suggested for solving problems?\",\"answer\":\"Students should select tools such as real objects, manipulatives, paper and pencil, and technology, and use techniques like mental math, estimation, and number sense as appropriate.\"},{\"question\":\"What topics are covered in the Knowledge and Skills Statements from 7.2 to 7.13?\",\"answer\":\"They cover number and operations, proportionality, expressions and equations, measurement and data analysis, and personal financial literacy.\"}]","Mathematical Process Standards - 7.1 - Mathematical processes | PDF",1790800196]