[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314524-105":59,"doc-detail-314524-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ap-calculus-ab-scoring-guidelines-2024","AP® Calculus AB Scoring Guidelines - 2024","","AP® Calculus AB Scoring Guidelines (2024) provide detailed point breakdowns and evaluation instructions for free-response questions. The guidelines specify how model solutions are represented, how numerical and algebraic answers may be left unsimplified, and rounding expectations for decimal approximations. For each subpart, they define which components earn points, including correct setup, interpretation, integral forms, and use of initial conditions or table values. Total point allocations and scoring notes guide consistent grading.",{"@graph":69,"@context":123},[70,84,106],{"@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/ap-calculus-ab-scoring-guidelines-2024/314524/",{"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/ap-calculus-ab-scoring-guidelines-2024/314524.png","ImageObject",300,407,{"name":92,"@type":93},"Đào","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the key general rules for scoring answers in these guidelines?","Question",{"text":113,"@type":114},"The model solution uses standard mathematical notation. 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College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered trademarks of College Board. Visit College Board on the web: [collegeboard.org](collegeboard.org).  \n[AP Central is the official online home for the AP Program: apcentral.collegeboard.org](AP Central is the official online home for the AP Program: apcentral.collegeboard.org).  \nAP® Calculus AB/BC 2024 Scoring Guidelines  \nPart A (AB or BC): Graphing calculator required  \nQuestion 1 9 points  \nGeneral Scoring Notes  \nThe model solution is presented using standard mathematical notation.  \nAnswers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at most one point is not earned for inappropriate rounding.  \n\n| t\u003Cbr>(minutes) | 0 | 3 | 7 | 12 |\n| --- | --- | --- | --- | --- |\n| C 􀀋t 􀀌\u003Cbr>(degrees Celsius) | 100 | 85 | 69 | 55 |\n\n t  C,  C 􀀋t 􀀌  0 􀁤 t 􀁤 12,  C 􀀋t 􀀌   \nModel Solution Scoring  \n(a)  C 􀁣 􀀋5􀀌  C  3 􀁤 t 􀁤 7.   \n| C 􀁣 􀀋5􀀌 􀁼 C~~ ~~􀀋7􀀌~~7 ~~􀀐~~ ~~C~~3~~􀀋3􀀌 􀀠 69~~ ~~~~ ~~85 􀀠 􀀐 4\u003Cbr>| | Estimate with supporting work | 1 point |\n| --- | --- | --- | --- |\n|  |  | Units | 1 point |\n\nScoring notes:  \n􀁸  \n􀁸  \n 􀀐16   \n7 􀀐 3 ,  \n69 􀀐 85 7 􀀐 3 ,  \nor  \n69 􀀐 85 4  \n􀁸  C 􀁣 􀀋5􀀌  \n􀁸   \nTotal for part (a) 2 points  \n© 2024 College Board  \n(b)  \n 􀂳120 C 􀀋t 􀀌 dt.  ~~1~~1~~2 ~~ 􀂳120 C 􀀋t 􀀌 dt  \n| 􀂳120 C 􀀋t 􀀌 dt 􀁼 􀀋3 􀀐 0􀀌 􀂘 C􀀋0􀀌 􀀎 􀀋7 􀀐 3􀀌 􀂘 C􀀋3􀀌 􀀎 􀀋12 􀀐 7 􀀌 􀂘 C􀀋7 􀀌\u003Cbr>􀀠 3 􀂘100 􀀎 4 􀂘 85 􀀎 5 􀂘 69 􀀠 985 | Form of left Riemann sum | 1 point |\n| --- | --- | --- |\n|  | Estimate | 1 point |\n| ~~1~~1~~2 ~~ 􀂳120C 􀀋t 􀀌 dt is the average temperature of the coffee (in degrees Celsius) over the interval from t 􀀠 0 to t 􀀠 12. | Interpretation | 1 point |\n\nScoring notes:  \n􀁸  􀀠  􀁼   \n􀁸   \n􀁸 A response of 􀀋3 􀀐 0􀀌 􀂘 C􀀋0 􀀌 􀀎 􀀋7 􀀐 3􀀌 􀂘 C􀀋3􀀌 􀀎 􀀋12 􀀐 7 􀀌 􀂘 C􀀋7 􀀌 earns the first point. Values must be pulled from the table to earn the second point.  \n􀁸  3 􀂘100 􀀎 4 􀂘 85 􀀎 5 􀂘 69   \n􀁸  \n􀁸  \n􀁸  \n 3 􀂘 85 􀀎 4 􀂘 69 􀀎 5 􀂘 55   806   \nTotal for part (b) 3 points  \n(c)  12 􀁤 t 􀁤 20,   \nC 􀁣 􀀋t 􀀌 􀀠 􀀐24.55~~t~~e0.01t~~ ~~ ,  C 􀁣 􀀋t 􀀌   t 􀀠 20.   \n\n| C􀀋20􀀌 􀀠 C 􀀋12􀀌 􀀎 􀂳1220 C 􀁣 􀀋t 􀀌 dt | Integral | 1 point |\n| --- | --- | --- |\n|  | Uses initial condition | 1 point |\n| 􀀠 55 􀀐 14.670812 􀀠 40.329188\u003Cbr>The temperature of the coffee at time t 􀀠 20 is 40.329 degrees\u003Cbr>Celsius. | Answer | 1 point |\n\n© 2024 College Board  \nScoring notes:  \n􀁸  C 􀁣 􀀋t 􀀌 .   \n􀁸  C􀀋20􀀌 􀀠 􀂳1220 C 􀁣 􀀋t 􀀌 dt 􀀠 55 􀀐 14.670812   \n􀂳1220 C 􀁣 􀀋t 􀀌 dt 􀀠 􀀐 14.670812 􀀠 40.329188 􀁸  dt   \no  C􀀋20 􀀌 􀀠 C􀀋12􀀌 􀀎 􀂳1220 C 􀁣 􀀋t 􀀌  C􀀋20􀀌 􀀠 55 􀀎 􀂳1220 C 􀁣 􀀋t 􀀌   \no  C􀀋20􀀌 􀀠 􀂳1220 C 􀁣 􀀋t 􀀌 􀀎 C 􀀋12􀀌  C􀀋20􀀌 􀀠 􀂳1220 C 􀁣 􀀋t 􀀌 􀀎 55   \n􀁸  C 􀀋12 􀀌  55  12,  \n􀁸  55 􀀐 14.671  􀀐14.671 􀀎 55   \n􀁸  40.329   \nTotal for part (c) 3 points  \n(d)  C 􀁣􀁣􀀋t 􀀌 􀀠 0.2455e0.01t~~ ~~2t~~ ~~􀀋100~~ ~~􀀐~~ ~~t~~ ~~􀀌~~ ~~ .   \n12 􀀟 t 􀀟 20,   \n| Because C 􀁣􀁣 􀀋t 􀀌 􀀡 0 on the interval 12 􀀟 t 􀀟 20, the rate of change in the temperature of the coffee, C 􀁣 􀀋t 􀀌 , is increasing on this interval.\u003Cbr>That is, on the interval 12 􀀟 t 􀀟 20, the temperature of the coffee is changing at an increasing rate. | Answer with reason | 1 point |\n| --- | --- | --- |\n\nScoring notes:  \n􀁸   \n C.  \n􀁸  C 􀁣􀁣 􀀋t 􀀌   \n􀁸  12 􀀟 t 􀀟 20   \nTotal for part (d) 1 point  \nTotal for question 1 9 points  \n© 2024 College Board  \nAP® Calculus AB/BC 2024 Scoring Guidelines  \nPart A (AB): Graphing calculator required  \nQuestion 2 9 points  \nGeneral Scoring Notes  \nThe model solution is presented using standard mathematical notation.  \nAnswers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at most one point is not earned for inappropriate rounding.  \n x  t 􀁴 0  v􀀋t 􀀌 􀀠 ln 􀀋 t 2 􀀐 4t 􀀎 5􀀌 􀀐 0.2t.  \nModel Solution Scoring  \n(a)  t 􀀠 tR ,  0 􀀟 t 􀀟 2  tR .  \n 0 􀀟 t 􀀟 t","cbCaih5NnYlXFWoy","https://ap.wps.com/l/cbCaih5NnYlXFWoy","pdf",8543009,21,"English","# General Scoring Notes\n## Part A (AB or BC): Graphing calculator required\n## Question 1 (9 points)\n## Question 2 (9 points)","[{\"question\":\"What are the key general rules for scoring answers in these guidelines?\",\"answer\":\"The model solution uses standard mathematical notation. Numeric or algebraic answers need not be simplified, and decimal approximations should be correct to three places after the decimal point, with at most one missed point per free-response question for inappropriate rounding.\"},{\"question\":\"How is rounding handled for decimal approximations?\",\"answer\":\"Decimal approximations must be correct to three places after the decimal point. Within each individual free-response question, at most one point may be lost for inappropriate rounding.\"},{\"question\":\"What additional requirements are specified for free-response questions in Part A?\",\"answer\":\"For Part A (AB or BC), a graphing calculator is required, and each question’s subparts include scoring criteria such as correct setup, correct integral form, interpretation, and use of initial conditions or values from a table.\"}]","AP® Calculus AB Scoring Guidelines - 2024 | PDF",1789901039,53]