[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-605426-105":59,"doc-detail-605426-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","academic-standards-for-mathematics-pennsylvania-department-of-education-grades-prekhighschool-march-1-2014","Academic Standards for Mathematics - Pennsylvania Department of Education - Grades PreK–HighSchool March 1, 2014","","Pennsylvania Department of Education presents academic mathematics core standards for grades PreK through high school, emphasizing both mathematical content and mathematical practice. The document outlines foundations for K–5 students in whole numbers and operations, fractions, and decimals, and extends to middle and high school abilities to reason mathematically and apply thinking to real-world problems. It explains how standards connect across grades, notes alignment with assessment anchors, and describes four content areas framed by standards of practice.",{"@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":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/academic-standards-for-mathematics-pennsylvania-department-of-education-grades-prekhighschool-march-1-2014/605426/",{"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/academic-standards-for-mathematics-pennsylvania-department-of-education-grades-prekhighschool-march-1-2014/605426.png","ImageObject",300,407,{"name":92,"@type":93},"Kyle","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-10-16",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the purpose of the Pennsylvania core standards in mathematics?","Question",{"text":112,"@type":113},"The standards define what students should understand and be able to do, and support local curriculum development that meets students’ needs.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do Mathematical Content and Mathematical Practice work together?",{"text":117,"@type":113},"Mathematical Content specifies learning goals, while Mathematical Practice describes habits of mind students need to reach proficiency, with both integrated across instruction.",{"name":119,"@type":110,"acceptedAnswer":120},"Which four standard areas are covered in the document?",{"text":121,"@type":113},"The document organizes content into Numbers and Operations, Algebraic Concepts, Geometry, and Measurement, Data, and Probability.","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},605426,1792439619,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":14,"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},3985741905716,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Academic Standards for  \nMathematics  \nGrades Pre K–HighSchool March 1, 2014  \nPennsylvania Department of Education  \nINTRODUCTION  \nThe Pennsylvania Core Standards in Mathematics in grades PreK–5 lay a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions, and decimals. Taken together, these elements support a student’s ability to learn and apply more demanding math concepts and procedures. The middle school and high school standards call on students to practice applying mathematical ways of thinking to real world issues and challenges; they prepare students to think and reason mathematically. Additionally, they set a rigorous definition of college and career readiness by demanding that students develop a depth of understanding and ability to apply mathematics to novel situations, as college students and employees regularly do. Although the standards are not a curriculum or a prescribed series of activities, school entities will use them to develop a local school curriculum that will meet local students’ needs.  \nThis document includes PA Core Standards for Mathematical Content and Mathematical Practice. The mathematics standards define what students should understand and be able to do. Mathematical Practice Standards describes the habits of mind required to reach a level of mathematical proficiency.  \n\n| PA Core Standards Mathematical Content and Mathematical Practice |  |  |\n| --- | --- | --- |\n| Standards for Mathematical Content |  | Standards for Mathematical Practice |\n| 2.1 Numbers and Operations\u003Cbr>A) Counting and Cardinality\u003Cbr>B) Numbers and Operations in Base Ten\u003Cbr>C) Numbers and Operations—Fractions\u003Cbr>D) Ratios and Proportional Relationships\u003Cbr>E) The Number System\u003Cbr>F) Number and Quantity |  | 􀁸 Make sense of problems and persevere in solving them.\u003Cbr>􀁸 Reason abstractly and quantitatively.\u003Cbr>􀁸 Construct viable arguments and critique the reasoning of others.\u003Cbr>􀁸 Model with mathematics.\u003Cbr>􀁸 Use appropriate tools strategically.\u003Cbr>􀁸 Attend to precision.\u003Cbr>􀁸 Look for and make use ofstructure.\u003Cbr>􀁸 Look for and make sense of regularity in repeated reasoning. |\n| 2.2 Algebraic Concepts\u003Cbr>A) Operations and Algebraic Thinking\u003Cbr>B) Expressions & Equations\u003Cbr>C) Functions\u003Cbr>D) Algebra |  |  |\n| 2.3 Geometry\u003Cbr>A) Geometry |  |  |\n| 2.4 Measurement, Data, and Probability\u003Cbr>A) Measurement and Data\u003Cbr>B) Statistics and Probability |  |  |\n\nStandards cannot be viewed or addressed in isolation, as each standard depends upon or may lead into multiple standards across grades; thus, it is imperative that educators are familiar with both the standards that come before and those that follow a particular grade level. These revised standards reflect instructional shifts that cannot occur without the integrated emphasis on content and practice.  \nStandards are overarching statements of what a proficient math student should know and be able to do. The Pennsylvania Assessment Anchors and Eligible Content closely align with the revised standards and are an invaluable source for greater detail.  \nKey Points in Mathematics  \n􀁸 The standards stress both procedural skills and conceptual understanding to ensure students are learning and applying the critical information they need to succeed at higher levels.  \n􀁸 K–5 standards, which provide students with a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions, and decimals, help young students build the foundation to successfully apply more demanding math concepts and procedures, and move into application. They also provide detailed guidance to teachers on how to navigate their way through topics such as fractions, negative numbers, and geometry, and do so by maintaining a continuous progression from grade to grade.  \n􀁸 Having built a strong foundation at K–5, students can do hands-on learning in geometry, algebra, and probability and statistics. Students who have mastered the content and skills through","cbCaieiKxQDQaqnT","https://ap.wps.com/l/cbCaieiKxQDQaqnT","pdf",1188499,17,"English","# Introduction\n# PA Core Standards Overview\n# Key Points in Mathematics\n# Standard Areas and Practice Framework\n# Standards for Mathematical Content\n## Numbers and Operations\n## Algebraic Concepts\n## Geometry\n## Measurement, Data, and Probability","[{\"question\":\"What is the purpose of the Pennsylvania core standards in mathematics?\",\"answer\":\"The standards define what students should understand and be able to do, and support local curriculum development that meets students’ needs.\"},{\"question\":\"How do Mathematical Content and Mathematical Practice work together?\",\"answer\":\"Mathematical Content specifies learning goals, while Mathematical Practice describes habits of mind students need to reach proficiency, with both integrated across instruction.\"},{\"question\":\"Which four standard areas are covered in the document?\",\"answer\":\"The document organizes content into Numbers and Operations, Algebraic Concepts, Geometry, and Measurement, Data, and Probability.\"}]","Academic Standards for Mathematics - Pennsylvania Department of Education - Grades PreK–HighSchool March 1, 2014 | PDF",1792132288,43]