[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-564982-105":53,"doc-detail-564982-en":126},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":119,"head_meta":121,"extra_data":123,"updated_unix":125},105,"en","very-cool-waldorf-multiplication-circles","Very cool Waldorf Multiplication circles","","Very cool Waldorf Multiplication circles provides paired multiplication tables in a circle-style format for practicing basic facts. It presents structured grids pairing factors with results (e.g., 5x/10x, 1x/9x, 2x/8x, 3x/7x, 4x/6x), enabling learners to connect multiplication with the corresponding product outputs. The materials include multiple tables to reinforce recall across different factor pairs, supporting classroom or home instruction.",{"@graph":63,"@context":118},[64,80,101],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":51,"@type":70,"position":76},"https://docshare.wps.com/template/general/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/very-cool-waldorf-multiplication-circles/564982/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/very-cool-waldorf-multiplication-circles/564982.png","ImageObject",442,249,{"name":88,"@type":89},"Franzy","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-21","2026-10-12",true,{"@type":98,"interactionType":99,"userInteractionCount":76},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"What is included in the document?","Question",{"text":108,"@type":109},"It includes paired multiplication table grids organized into several factor pair sections for practicing multiplication facts.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"How are the multiplication facts organized?",{"text":113,"@type":109},"Each section pairs two multipliers (such as 5x/10x or 3x/7x) and shows products for factor values from 1 through 10.",{"name":115,"@type":106,"acceptedAnswer":116},"How can these tables help students?",{"text":117,"@type":109},"They support memorization and quick recall by visually linking each multiplier pair with consistent product results across the full range of single-digit factors.","https://schema.org",{"og:url":78,"og:type":120,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":122,"canonical":78},"index,follow",{"doc_id":124,"site_id":56},564982,1792524830,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":50,"category_name":51,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":76,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":79,"language":135,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":136,"faqs":137,"seo_title":138,"seo_description":61,"update_tm":139,"read_time":73},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","# Very cool Waldorf Multiplication circles^\n\n(Thanks to 'Waldorf School of Math'teacher Kris Carlson for sharing this on Youtube!For thecomplete video go to https://www.youtube.com/watch?v=mXLzLhfJgxM)  \n2  \n8  \n5  \n8  \n7  \n8  \n2.75  \n2  \n3  \n5  \n235  \n5  \n2  \n# Paired.Multiplication Tables\n\n\n|  | 5x   | 10x   |\n| --- | --- | --- |\n| 1   |  |  |\n| 2   |  |  |\n| 3   |  |  |\n| 4   |  |  |\n| 5   |  |  |\n| 6   |  |  |\n| 7   |  |  |\n| 8   |  |  |\n| 9   |  |  |\n| 10   |  |  |\n\n\n|  | 1x   | 9x   |\n| --- | --- | --- |\n| 1   |  |  |\n| 2   |  |  |\n| 3   |  |  |\n| 4   |  |  |\n| 5   |  |  |\n| 6   |  |  |\n| 7   |  |  |\n| 8   |  |  |\n| 9   |  |  |\n| 10   |  |  |\n\n\n|  | 2x   | 8x   |\n| --- | --- | --- |\n| 1   |  |  |\n| 2   |  |  |\n| 3   |  |  |\n| 4   |  |  |\n| 5   |  |  |\n| 6   |  |  |\n| 7   |  |  |\n| 8   |  |  |\n| 9   |  |  |\n| 10   |  |  |\n\n\n|  | 3x   | 7x   |\n| --- | --- | --- |\n| 1   |  |  |\n| 2   |  |  |\n| 3   |  |  |\n| 4   |  |  |\n| 5   |  |  |\n| 6   |  |  |\n| 7   |  |  |\n| 8   |  |  |\n| 9   |  |  |\n| 10   |  |  |\n\n\n|  | 4x   | 6x   |\n| --- | --- | --- |\n| 1   |  |  |\n| 2   |  |  |\n| 3   |  |  |\n| 4   |  |  |\n| 5   |  |  |\n| 6   |  |  |\n| 7   |  |  |\n| 8   |  |  |\n| 9   |  |  |\n| 10   |  |  |\n\nPaired.Multiplication Tables  \n\n|  | 5x   | 10x   |\n| --- | --- | --- |\n| 1   | 5   | IO   |\n| 2   | IO   | 20   |\n| 3   | 15   | 30   |\n| 4   | 20   | 40   |\n| 5   | 25   | 50   |\n| 6   | 30   | 60   |\n| 7   | 35   | 70   |\n| 8   | 40   | 80   |\n| 9   | 45   | 90   |\n| 10   | 50   | 100   |\n\n\n|  | 1x   | 9x   |\n| --- | --- | --- |\n| 1   |  | 9   |\n| 2   | 乙   | 18   |\n| 3   |  | 27   |\n| 4   | 4   | 36   |\n| 5   | 5   | 45   |\n| 6   | 6   |  |\n| 7   | 7   |  |\n| 8   | 8   |  |\n| 9   | q   | 81   |\n| 10   | I0   | 90   |\n\n\n|  | 2x   | 8x   |\n| --- | --- | --- |\n| 1   | 2   | 8   |\n| 2   | 4   | 16   |\n| 3   | 6   | 24   |\n| 4   | 8   | 32   |\n| 5   | IO   | 40   |\n| 6   | 12   | 48   |\n| 7   | 14   | 56   |\n| 8   | 16   | 64   |\n| 9   | 18   |  |\n| 10   | 20   |  |\n\n\n|  | 3x   | 7x   |\n| --- | --- | --- |\n| 1   | 3   |  |\n| 2   | 6   | 14   |\n| 3   | 9   | 21   |\n| 4   | 12   | 28   |\n| 5   | 15   | 35   |\n| 6   | 18   | 42   |\n| 7   | 21   | 49   |\n| 8   | 24   |  |\n| 9   | 27   |  |\n| 10   | 30   |  |\n\n\n|  | 4x   | 6x   |\n| --- | --- | --- |\n| 1   | 4   | 6   |\n| 2   | 8   | 12   |\n| 3   | 12   | 18   |\n| 4   | 16   | 24   |\n| 5   | 20   | 30   |\n| 6   | 24   | 36   |\n| 7   | 28   | 42   |\n| 8   | 32   | 48   |\n| 9   | 36   | 54   |\n| 10   | 40   | 60   |\n\nVery cool Waldorf Multiplication circles^  \n(Thanks to 'Waldorf School of Math'teacher Kris Carlson for sharing this on Youtube!For thecomplete video go to https://www.youtube.com/watch?v=mXLzLhf]gxM)  \n8  \n8  \n275  \n2.735  \n8  \n2  \n3  \n7  \n3x  \n2  \n8  \n3  \n5  \n5  \n2","cbCaikuQChIdVorq","https://ap.wps.com/l/cbCaikuQChIdVorq","pdf",220164,"English","# Paired Multiplication Tables\n## 5x and 10x\n## 1x and 9x\n## 2x and 8x\n## 3x and 7x\n## 4x and 6x","[{\"question\":\"What is included in the document?\",\"answer\":\"It includes paired multiplication table grids organized into several factor pair sections for practicing multiplication facts.\"},{\"question\":\"How are the multiplication facts organized?\",\"answer\":\"Each section pairs two multipliers (such as 5x/10x or 3x/7x) and shows products for factor values from 1 through 10.\"},{\"question\":\"How can these tables help students?\",\"answer\":\"They support memorization and quick recall by visually linking each multiplier pair with consistent product results across the full range of single-digit factors.\"}]","Very cool Waldorf Multiplication circles | PDF",1791845549]