[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-411748-105":59,"doc-detail-411748-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","grades-9-12-mathematics-vocabulary-high-school-recommended-vocabulary","Grades 9-12 Mathematics Vocabulary - High School Recommended Vocabulary","","Helena Public Schools High School Mathematics Recommended Vocabulary provides a precision-focused framework for teaching mathematical terminology. It explains a six-step routine for introducing each critical word, using definitions with examples and sketches, having students restate and correct definitions, generating example/non-example sets, revisiting the language repeatedly over time, practicing with review sheets during discussion, and reinforcing understanding through games and visual activities. A comprehensive grade 9–12 term list outlines key vocabulary students should consistently use.",{"@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/grades-9-12-mathematics-vocabulary-high-school-recommended-vocabulary/411748/",{"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/grades-9-12-mathematics-vocabulary-high-school-recommended-vocabulary/411748.png","ImageObject",300,407,{"name":92,"@type":93},"Noah","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-09-28",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What six steps does the document recommend for learning mathematics vocabulary?","Question",{"text":112,"@type":113},"Introduce each word with a definition plus sketch or example; have students restate the definition in their own terms; require example and non-example creation; revisit and discuss the word over the next week and periodically across the year; use review sheets to apply words in normal classroom conversation; and review through games, activities, word games, jokes, rhymes, and visuals.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why does the document emphasize precision and rigor in vocabulary instruction?",{"text":117,"@type":113},"It stresses that mathematics depends on precise language and clear definitions, and that students must communicate accurately using critical terminology.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the purpose of revisiting and revising vocabulary definitions over time?",{"text":121,"@type":113},"The document expects students to revisit and refine definitions and representations as classes increase in level, since precision and the meaning of definitions can become more sophisticated.","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},411748,1791030049,{"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":39,"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},8796095462418,"https://ap-avatar.wpscdn.com/avatar/80000253c1241d02b47?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778826106357471780","Helena Public Schools High School Mathematics Recommended Vocabulary  \nPrecision and rigor are two important characteristics of mathematics. Powerful students communicate with precise language. An effort must be made to intentionally teach each critical word.  \nOften a 6 step process is recommended to help students participate in developing of their understanding of the concepts of mathematics. They must also continue to revisit and revise their definition and representations ofthe critical word, recognizing that the level of precision and definition itself can take on new or more sophisticated meanings with higher level classes.  \nA Six Step Process for Learning Mathematics  \n1. Introduce the work with a definition along with any sketch or example.  \nMultiple representations with algebraic, numeric and geometric bents are desirable.  \n2. Ask students to restate the definition in their own terms correcting any lack of precision or accuracy.  \n3. Have students create an example and non example of the word. Use graphics when possible.  \n4. Revisit and discuss the word over the next week and periodically over the year.  \n5. Use review sheets where students are asked to use the words as part of the normal classroom conversation.  \n6. Use games, activities, word games, jokes, rhymes and visuals to review the definitions.  \nIt is expected that precise language and clear definitions will be used with all high school mathematics classes. The following is a list of terms is not complete but gives an overview of the types of terminology that students should be able to use on a consistent basis.  \nA  \nAbscissa  \nAbsolute maximum  \nAbsolute minimum  \nAbsolute value  \nAbsolute value equation  \nMathematics Vocabulary Grades 9–12  \nAbsolute value function Accuracy  \nAcre  \nAcute triangle  \nAdd Addend  \nAddition  \nAdditive identity Additive inverse  \nAddition property of inequality  \nAddition property of zero Adjacent angle(s)  \nAdjacent side(s) Algebra Algebraic equation  \nAlgebraic expression  \nAlgebraic function Algebraic solution Alternate interior angle(s)  \nAltitude Analysis  \nAnalytic  \nAnalytic geometry Analyze  \nAngle bisector  \nAngle measure  \nAngle of depression Angle of a circular segment Angle of elevation  \nAngle of intersection  \nAngle of rotation Angular Apothem  \nApplication  \nAppraisal  \nApproximate  \nApproximate rational value  \nApproximate square root  \nApproximation Arbitrary  \nArc  \nArc length  \nHelena Public Schools High School Mathematics Recommended Vocabulary  \nArc subtended by a chord Area  \nArea of a rectangle/circle Argument  \nArithmetic  \nArithmetic mean  \nArray Ascending order Assign  \nAssociative property of addition/multiplication Asymmetric relation Asymmetrical  \nAsymptote Augment Average  \nAverage error  \nAxes Axiom Axis  \nAxis of abscissas  \nAxis of a conic  \nAxis of a cylinder Axis of ordinates Axis of a quadric  \nAxis of rotation  \nAxis of symmetry  \nB  \nBar graph  \nBarycenter Base  \nBase angle Base numeral  \nBase of cylinder Upper base Lower base Base of figure  \nBase of a logarithm  \nBase of a power Bell-shaped curve Below  \nBelow zero  \nMathematics Vocabulary Grades 9–12  \nBernoulli experiment Best approximation  \nBetween  \nBiased estimator  \nBiased statistic  \nBiconditional binary operation  \nBiconditional statement Billions (place value) Binary arithmetic  \nBinary digit  \nBinary form  \nBinary number  \nBinary operation  \nBinomial  \nBinomial curve  \nBinomial expansion Binomial expression  \nBisect  \nBisector of a segment  \nBisector  \nBody of rotation  \nBorder  \nBorrow  \nBottom  \nBound  \nBoundary  \nBox-and-whisker  \nBraces  \nBrackets  \nC  \nConcurrent  \nConcurrent angle bisectors of a triangle Concurrent altitudes of a triangle Concurrent lines  \nConcurrent planes Concyclic  \nConcyclic points  \nConditional  \nConditional equality  \nConditional equation Conditional inequality  \nHelena Public Schools High School Mathematics Recommended Vocabulary  \nConditional sentence Cone  \nCongruence  \nCongruent  \n- arcs","cbCaiedS6DJZFYP2","https://ap.wps.com/l/cbCaiedS6DJZFYP2","pdf",38768,23,"English","# Overview\n## Six-step vocabulary learning process\n## Vocabulary expectations and terminology list","[{\"question\":\"What six steps does the document recommend for learning mathematics vocabulary?\",\"answer\":\"Introduce each word with a definition plus sketch or example; have students restate the definition in their own terms; require example and non-example creation; revisit and discuss the word over the next week and periodically across the year; use review sheets to apply words in normal classroom conversation; and review through games, activities, word games, jokes, rhymes, and visuals.\"},{\"question\":\"Why does the document emphasize precision and rigor in vocabulary instruction?\",\"answer\":\"It stresses that mathematics depends on precise language and clear definitions, and that students must communicate accurately using critical terminology.\"},{\"question\":\"What is the purpose of revisiting and revising vocabulary definitions over time?\",\"answer\":\"The document expects students to revisit and refine definitions and representations as classes increase in level, since precision and the meaning of definitions can become more sophisticated.\"}]","Grades 9-12 Mathematics Vocabulary - High School Recommended Vocabulary | PDF",1790589508,58]