[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-134559-105":59,"doc-detail-134559-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","the-art-of-mathematics-op-art-6th-8th-grade","The Art of Mathematics - Op Art - 6th-8th Grade","","Op art is presented as a form of abstract art that creates the illusion of movement through precise pattern and color, including cases where conflicting patterns overlap. Students learn key mathematical practices—reasoning, modeling, using structure, and attending to precision—while viewing examples and experimenting with techniques to produce their own op art. The lesson includes a materials list, optional multiple pieces, and math standard alignment to connect mathematics with art.",{"@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/the-art-of-mathematics-op-art-6th-8th-grade/134559/",{"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/the-art-of-mathematics-op-art-6th-8th-grade/134559.png","ImageObject",300,407,{"name":92,"@type":93},"Tawan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-09-16","2026-08-20",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},"学生如何学习并创作自己的 op art？","Question",{"text":112,"@type":113},"先通过观看 op art 示例了解概念，再尝试不同创作技术并选择想先尝试的风格；如果时间允许，可创作不止一件作品。","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"本课程强调哪些数学能力与实践？",{"text":117,"@type":113},"课程围绕七项数学实践展开，包括解决问题坚持、抽象与定量推理、构建论证并评价他人思路、用数学建模、策略性使用工具、注重精确性以及寻找并运用结构。",{"name":119,"@type":110,"acceptedAnswer":120},"上课使用的远程会议平台与连接方式是什么？",{"text":121,"@type":113},"课程通过 Zoom desktop video 开展。可打开浏览器并输入会议链接进入，或按说明下载 Zoom launcher；如使用 Polycom 等设备，需要设置加密模式并输入相应会议 ID。","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},134559,1787268453,{"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":34,"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":129,"read_time":143},2336475104042,"https://ap-avatar.wpscdn.com/avatar/22000c4c32af1715be0?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786537525561427321","THE ART OF MATHEMATICS: OP ART  \nOp, or optical art is a form of abstract art that gives the illusion of movement by the precise use of pattern and color, or in which conflicting patterns emerge and overlap. Students will create a piece of op art while exploring some mathematical concepts that are involved. They’ll soon learn that math is everywhere, even in art!  \nKansas College and Career Ready Standards for Math  \nM.P 1 Make sense of problems and persevere in solving them.  \nM.P 2 Reason abstractly and quantitatively.  \nM.P 3 Construct viable arguments and critique the reasoning of others.  \nM.P 4 Model with mathematics.  \nM.P 5 Use Appropriate tools strategically.  \nM.P 6 Attend to precision.  \nM.P 7 Look for and make use of structure.  \nMaterials needed for each student:  \n• Pencils  \n• Erasers  \n• Rulers  \n• Kleenex or Q-tip  \n• Op Art Tunnel page  \n• Op Art Star page  \n• Several sheets of blank copy paper  \n• Colored pencils  \nStudents will first learn about op art by viewing examples. They will then see several techniques for creating art and choose the style they would like to try first. If time allows, they can create more than one piece of art.  \nProgram Connection Information  \nPlease use an external microphone (conference style) rather than the integrated one in the computer for the audio foryour class and locate it centrally in the room. It can be difficult for the Greenbush teacher to hear the students using the computer microphone and therefore it reduces the interactive nature of the lesson. It is fine to use the computer webcam foryour video source.  \nAll classes will take place using Zoom desktop video. If your building is already set up to use a desktop video application with a computer, simply open a browser and enter https://zoom.us/j/3662120241 in the URL space. You may need to download Zoom launcher software (free download) if you don't already have it. This needs to be done in advance of the lesson.  \nIf using a Polycom video conferencing unit (or any legacy type video conferencing unit) to connect to a ZOOM conference, make sure the unit is in\"encrypted mode\" then dial the following IP on the internet: 162.255.37.11 or [162.255.36.11](162.255.36.11) and once connected, they will ask for a MEETING ID: enter 3662120241 (for Sharon at Science Center) .  \nIt’s always a good idea to touch base with your district technology facilitator prior to your program to make sure all systems/equipment are in place and operational and that there aren’t any firewalls in place that might prevent you from connecting to Zoom.  \nOnce you connect, you will enter a Zoom waiting room. Your Greenbush teacher will admit you into the final meeting room.  \nIf you have questions, please call Sharon Bertolio at Greenbush, 620-724- 6281, or email at sharon.[bertolio@greenbush.org](bertolio@greenbush.org) (best method of contact) .  \nOp Art Star  \n10  \n10  \n10  \n10  \nBonus Ideas","cbCaihWy4vr6DCzu","https://ap.wps.com/l/cbCaihWy4vr6DCzu","pdf",1000745,"English","# Op Art 概念与数学连接\n## 课程数学实践标准\n## 学生创作流程与技巧\n## 教学所需材料\n## Zoom 课程连接与沟通","[{\"question\":\"学生如何学习并创作自己的 op art？\",\"answer\":\"先通过观看 op art 示例了解概念，再尝试不同创作技术并选择想先尝试的风格；如果时间允许，可创作不止一件作品。\"},{\"question\":\"本课程强调哪些数学能力与实践？\",\"answer\":\"课程围绕七项数学实践展开，包括解决问题坚持、抽象与定量推理、构建论证并评价他人思路、用数学建模、策略性使用工具、注重精确性以及寻找并运用结构。\"},{\"question\":\"上课使用的远程会议平台与连接方式是什么？\",\"answer\":\"课程通过 Zoom desktop video 开展。可打开浏览器并输入会议链接进入，或按说明下载 Zoom launcher；如使用 Polycom 等设备，需要设置加密模式并输入相应会议 ID。\"}]","The Art of Mathematics - Op Art - 6th-8th Grade | PDF",18]