[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-565352-105":53,"doc-detail-565352-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","the-multiplication-charts-about-the-multiplication-charts","The Multiplication Charts - About the Multiplication Charts","","The document explains how The Multiplication Charts help children memorize multiplication facts through five finger charts made of wood with yellow borders. It distinguishes two control/reference charts from three working charts and describes how each chart presents multiplication combinations from 1–10. Chart design supports progression from practicing facts to demonstrating full recall: essential combinations, grid layouts, stair formation, and a blank tile-based chart with 81 number tiles used to fill products.",{"@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":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/the-multiplication-charts-about-the-multiplication-charts/565352/",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/the-multiplication-charts-about-the-multiplication-charts/565352.png","ImageObject",442,249,{"name":88,"@type":89},"miaandmiso","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-15","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":9},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"What are The Multiplication Charts used for?","Question",{"text":108,"@type":109},"They help children memorize multiplication facts by repeatedly practicing multiplication combinations presented across five related charts.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"What is the difference between the control charts and working charts?",{"text":113,"@type":109},"Charts 1 and 2 are control/reference charts that organize multiplication facts, while Charts 3–5 are working charts used to practice and demonstrate memorization.",{"name":115,"@type":106,"acceptedAnswer":116},"How does Multiplication Chart 5 support learning?",{"text":117,"@type":109},"Chart 5 is blank like Chart 3 but without printed products, and children use 81 number tiles (“stamps”) to fill the chart with multiplication results.","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},565352,1792062410,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":9,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":76,"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":9},7971478544854,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","About  \nThe Multiplication Charts  \nThe Multiplication Charts  \nMaterialDescrpi tion  \nThe Multiplication Charts are a set of five finger charts that aid in the memorization of the multiplication facts. The charts are made of wood, and each has a yellow border to indicate that it is used for multiplication. The first two charts are control charts, also called reference charts, and the remaining three are working charts. The charts become increasingly abstract to help the child move from practicing his multiplication facts to demonstrating that he has memorized all the combinations.  \nMultiplication Chart 1  \nMultiplication Chart 1 is a control chart that shows all the multiplication combinations of numbers 1–10 organized in columns. The chart is rectangular and the products are shown in red.  \nMultiplication Chart 2  \nMultiplication Chart 2 is the second of the control charts. This chart shows only the essential multiplication combinations of numbers 1–10, which means that none of the equations are repeated. As with Chart 1 , the equations are ordered in columnson a rectangular chart and the products are shown in red.  \n“Children do exercises like the  \nmultiplication tables many times over, and the urge to do the work comes from within the child. The materials are said to inspire children to do the work, because they were field tested on children until they evoked interest , concentration , and repetition.”  \n— Angeline Stoll Lillard , Montessori: The Science Behind the Genius , p. 178.  \nMultiplication Chart 1  \nMultiplication Chart 2  \n3–6 Mathematics | © NAMC-North American Montessori Center 297  \nMultiplication Chart 3  \nMultiplication Chart 4  \nMultiplication Chart 5  \nMultiplication Chart 3  \nMultiplication Chart 3 , sometimes called the Whole Chart or Full Chart, is the first of the working charts, showing all the multiplication combinations in a square grid. The squares that make up the grid are each 2 cm2. The multiplicands 1–10 are printed on the blue row at the top of the chart. The multipliers 1–10 are printed on the red column on the left side of the chart.  \nThe 1 in the top left corner of the chart is used as both the multiplicand and the multiplier. When the multiplicand or multiplier is 1 , the child finds the product in the blue row or thered column of the chart. Finding the product in this way shows the child that a multiplicand taken 1 time always equals itself. Similarly, 1 multiplied by any multiplier always equals the multiplier.  \nMultiplication Chart 4  \nSimilar to Chart 2 , Multiplication Chart 4 shows only the essential multiplication combinations. Chart 4 contains half the number of products of Chart 3 , which is why it is also known asthe Half Chart, and the chart itself is a stair formation, resembling a right-angle triangle. On this working chart, both the multiplicand and the multiplier are found in the red column on the left of the chart. Like Chart 3 , Chart 4 has a square frame and the grid is made up of squares that each measure 2 cm2.  \nMultiplication Chart 5  \nMultiplication Chart 5 , sometimes called the Blank Chart, the Blind Chart, or the Mute Chart, is the final multiplication working chart. Chart 5 looks exactly like Chart 3 except that the grid on this chart is blank instead of being printed with the products.  \nTo fill the whole chart, there are 81 number tiles in total, sometimes called “stamps,” each measuring 2 cm2 , the same size as the squares. To indicate that they are used for multiplication, the number tiles themselves may be yellow or the products printed on them may be yellow. The tiles are kept in a wooden box that usually has a yellow lid printed with the symbol for multiplication (x) .  \n298 3–6 Mathematics | © NAMC-North American Montessori Center","cbCaisFcKNANxGEe","https://ap.wps.com/l/cbCaisFcKNANxGEe","pdf",3281541,"English","# The Multiplication Charts\n## Five finger charts and materials\n## Control charts (Charts 1–2)\n## Working charts (Charts 3–5)\n### Whole/Full Chart\n### Half Chart\n### Blank/Blind/Mute Chart","[{\"question\":\"What are The Multiplication Charts used for?\",\"answer\":\"They help children memorize multiplication facts by repeatedly practicing multiplication combinations presented across five related charts.\"},{\"question\":\"What is the difference between the control charts and working charts?\",\"answer\":\"Charts 1 and 2 are control/reference charts that organize multiplication facts, while Charts 3–5 are working charts used to practice and demonstrate memorization.\"},{\"question\":\"How does Multiplication Chart 5 support learning?\",\"answer\":\"Chart 5 is blank like Chart 3 but without printed products, and children use 81 number tiles (“stamps”) to fill the chart with multiplication results.\"}]","The Multiplication Charts - About the Multiplication Charts | PDF",1791851949]