[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-313465-105":59,"doc-detail-313465-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","homework-31e-calculator-use-on-the-ap-exam","Homework - 31E - Calculator Use on the AP Exam","","Homework #31E explains the required calculator capabilities for AP Calculus exams, emphasizing that graphing calculators must support plotting functions in an arbitrary window, finding zeros numerically, computing derivatives numerically, and evaluating definite integrals numerically. It also details strict technology restrictions, including prohibited device types and prohibited calculator features such as QWERTY keypads, pen input, wireless connectivity, internet access, and recording or scanning. Additional rules cover proctor checks, approved models, calculator sharing restrictions, memory handling, and the requirement to show work on free-response sections, including calculator setups and mathematical justification beyond calculator outputs. It also distinguishes exploration from a formal mathematical solution and notes precision expectations.",{"@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/homework-31e-calculator-use-on-the-ap-exam/313465/",{"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/homework-31e-calculator-use-on-the-ap-exam/313465.png","ImageObject",300,407,{"name":92,"@type":93},"Fans","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",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What built-in capabilities must a graphing calculator have for AP Calculus exams?","Question",{"text":113,"@type":114},"It must be able to plot a function in an arbitrary viewing window, find zeros numerically, compute derivatives numerically, and calculate definite integrals numerically.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which calculator features or technologies are not allowed on the AP Calculus Exams?",{"text":118,"@type":114},"Nongraphing calculators and many device types are prohibited, and graphing calculator models are restricted from having features like QWERTY keypads, pen/stylus or touch input, wireless/Bluetooth, internet access, recording capability, or camera/scanning capability.",{"name":120,"@type":111,"acceptedAnswer":121},"What is required for full credit on free-response problems that use a calculator?",{"text":122,"@type":114},"Students must show enough work for Readers to follow reasoning, and for results using the four required calculator capabilities, they must write the setup that leads to the solution plus the calculator result.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},313465,1790372322,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},5909892330395,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name   Period   Date  \nHomework \\#31E: Calculator Use on theAP Exam Below are excerpts from [http://www.collegeboard.com/student/testing/ap/calculus_ab/calc.html](http://www.collegeboard.com/student/testing/ap/calculus_ab/calc.html:)[:](http://www.collegeboard.com/student/testing/ap/calculus_ab/calc.html:)  \nGraphing Calculator Capabilities for the Exams  \nThe committee develops exams based on the assumption that all students have access to four basic calculator capabilities used extensively in calculus. A graphing calculator appropriate for use on the exams is expected to have the built-in capability to:  \n􀀁 Plot the graph of a function within an arbitrary viewing window  \n􀀁 Find the zeros of functions (solve equations numerically)  \n􀀁 Numerically calculate the derivative of a function  \n􀀁 Numerically calculate the value of a definite integral  \nOne or more of these capabilities should provide the sufficient computational tools for successful development of a solution to any exam question that requires the use of a calculator. Care is taken to ensure that the exam questions do not favor students who use graphing calculators with more extensive built-in features.  \nTechnology Restrictions on the Exams  \nYou are not permitted to use these items on the AP Calculus Exams: nongraphing scientific calculators, portable and handheld computers, laptops, electronic writing pads, pocket organizers.  \nAdditionally, you cannot use any graphing calculator models with these features or capabilities: QWERTY (typewriter-like) keypad as part of hardware or software (e.g. , TI-92 Plus, Voyage 200); pen-input, stylus or touch-screen (e.g., PalmPilot, personal digital assistant, Casio ClassPad); wireless or Bluetooth capabilities; paper tapes; talk or make noise; require an electrical outlet; have cell phone, audio, or video recording capability; can access the Internet; or camera or scanning capability. Also, the use of hardware peripherals with an approved calculator is prohibited.  \nProctors are required to check calculators before the exam. Therefore, it is important for each student to have an approved calculator. Students should be thoroughly familiar with the operation of the calculators they plan to use on the exam. Calculators may not be shared, and communication between calculators is prohibited during the exam. Students may bring to the exam one or two (but no more than two) graphing calculators from the current List of Graphing Calculators.  \nCalculator memories will not be cleared. Students are allowed to bring to the exam calculators containing whatever programs they want.  \nStudents must not use calculator memories to take test materials out of the room. Students that attempt to remove test materials from the room by any method will have their exam grades invalidated.  \nShowing Work on the Free-Response Sections of the Exams  \nStudents are expected to show enough of their work for Readers to follow their line of reasoning. To obtain full credit for the solution to a free-response problem, students must communicate their methods and conclusions clearly. Answers should show enough work so that the reasoning process can be followed throughout the solution. This is particularly important for assessing partial credit. Students may also be asked to use complete sentences to explain their methods or the reasonableness of their answers, or to interpret their results.  \nFor results obtained using one of the four required calculator capabilities listed above, students are required to write the setup (e.g., the equation being solved, or the derivative or definite integral being evaluated) that leads to the solution, along with the result produced by the calculator. For example, if the student is asked to find the area of a region, the student is expected to show a definite integral (i.e., the setup) and the answer. The student need not compute the antiderivative; the calculator may be used to calculate the value of the definite integral witho","cbCaisjFU8CV4e0F","https://ap.wps.com/l/cbCaisjFU8CV4e0F","pdf",341964,"English","# Graphing Calculator Capabilities for AP Calculus Exams\n## Technology Restrictions on the Exams\n## Calculator Handling, Approval, and Proctor Checks\n## Showing Work on Free-Response Sections\n## Exploration Versus Mathematical Solution\n## Precision and Accuracy Notes\n# Calculator-OK\n## Question 1","[{\"question\":\"What built-in capabilities must a graphing calculator have for AP Calculus exams?\",\"answer\":\"It must be able to plot a function in an arbitrary viewing window, find zeros numerically, compute derivatives numerically, and calculate definite integrals numerically.\"},{\"question\":\"Which calculator features or technologies are not allowed on the AP Calculus Exams?\",\"answer\":\"Nongraphing calculators and many device types are prohibited, and graphing calculator models are restricted from having features like QWERTY keypads, pen/stylus or touch input, wireless/Bluetooth, internet access, recording capability, or camera/scanning capability.\"},{\"question\":\"What is required for full credit on free-response problems that use a calculator?\",\"answer\":\"Students must show enough work for Readers to follow reasoning, and for results using the four required calculator capabilities, they must write the setup that leads to the solution plus the calculator result.\"}]","Homework - 31E - Calculator Use on the AP Exam | PDF",1789898162]