[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-572863-105":53,"doc-detail-572863-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","hardin-middle-school-math-cheat-sheets-alphabetized-topics-updated-may-2013","Hardin Middle School Math Cheat Sheets - Alphabetized Topics - Updated May 2013","","Hardin Middle School Math Cheat Sheets compiles alphabetized reference pages for grades 7 and 8 math topics, intended to be used as a single on-hand guide during study. The material organizes cheat sheets by subject areas such as place value, rounding, number types, divisibility rules, equations, inequalities, ratios, and geometry. It includes math symbol definitions, vocabulary support, and page-based navigation for quick lookups, plus reminders about book replacement cost.",{"@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/hardin-middle-school-math-cheat-sheets-alphabetized-topics-updated-may-2013/572863/",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/hardin-middle-school-math-cheat-sheets-alphabetized-topics-updated-may-2013/572863.png","ImageObject",442,249,{"name":88,"@type":89},"Olivia Brown","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 is the purpose of the Hardin Middle School Math Cheat Sheets book?","Question",{"text":108,"@type":109},"It provides a single reference resource compiling grade 7 and 8 math topic cheat sheets for quick study and problem solving support.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"How are topics organized in the cheat sheets?",{"text":113,"@type":109},"Topics are arranged alphabetically and supported by a table of contents listing subject areas and page ranges.",{"name":115,"@type":106,"acceptedAnswer":116},"What kinds of math content are included?",{"text":117,"@type":109},"The sheets include math symbol definitions, number type classifications, divisibility rules, place value and rounding guidance, and topic references across many core skills such as ratios, equations, and geometry.","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},572863,1792062608,{"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":135,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":141},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name: __________________________________________  \n7th Grade Math Teacher: ______________________________ 8th Grade Math Teacher: ______________________________  \nHardin Middle School Math Cheat Sheets  \nYou will be given only one of these books. If you lose the book, it will cost $5 to replace it.  \nCompiled by Shirk &Harrigan-Updated May 2013  \nAlphabetized Topics  \nPages Pages  \n\n| 􀁸 | Area | 32 | 􀁸 | Place Value | 9, 10 |\n| --- | --- | --- | --- | --- | --- |\n| 􀁸 | Circumference | 32 | 􀁸 | Properties | 12 |\n| 􀁸 | Comparing | 23, 26 | 􀁸 | Proportions | 22, 23,\u003Cbr>24, 25, 26 |\n| 􀁸 | Congruent Figures | 35 | 􀁸\u003Cbr>􀁸 | Pythagorean Theorem | 36 |\n| 􀁸 | Converting | 14, 15, 23 | 􀁸 | R.A.C.E. | 41 |\n| 􀁸 | Divisibility Rules | 8 | 􀁸 | Range | 11 |\n| 􀁸 | Equations | 37, 38, 39 | 􀁸 | Rates | 25 |\n| 􀁸 | Flow Charts |  | 􀁸 | Ratios | 25, 26 |\n| 􀁸 | Formulas | 32, 33, 34 | 􀁸 | Rounding | 10 |\n| 􀁸 | Fractions | 18, 19,\u003Cbr>20, 21,\u003Cbr>22, 23, 24 | 􀁸 | Scale Factor | 35 |\n| 􀁸 | Geometric Figures | 30, 31 | 􀁸 | Similar Figures | 35 |\n| 􀁸 | Greatest Common Factor (GF or GCD) | 22 | 􀁸 | Slide Method | 22 |\n| 􀁸 | Inequalities | 40 | 􀁸 | Substitution | 29 |\n| 􀁸 | Integers | 18, 19 | 􀁸 | Surface Area | 33 |\n| 􀁸 | Ladder Method | 22 | 􀁸 | Symbols | 5 |\n| 􀁸 | Least Common Multiple (LCM or LCD) | 22 | 􀁸 | Triangles | 30, 36 |\n| 􀁸 | Mean | 11 | 􀁸 | Variables | 29 |\n| 􀁸 | Median | 11 | 􀁸 | Vocabulary Words | 43 |\n| 􀁸 | Mode | 11 | 􀁸 | Volume | 34 |\n| 􀁸 | Multiplication Table | 6 | 􀁸 | Word Problems | 41, 42 |\n| 􀁸 | Order of Operations | 16, 17 |  |  |  |\n| 􀁸 | Percent | 23, 24,\u003Cbr>25, 26 |  |  |  |\n| 􀁸 | Perimeter | 32 |  |  |  |\n\nTable of Contents  \nPages  \nCheat Sheets 5 – 42  \n\n| 􀁸 Math Symbols | 5 |\n| --- | --- |\n| 􀁸 Multiplication Table | 6 |\n| 􀁸 Types of Numbers | 7 |\n| 􀁸 Divisibility Rules | 8 |\n| 􀁸 Place Value | 9 |\n| 􀁸 Rounding & Comparing | 10 |\n| 􀁸 Measures of Central Tendency | 11 |\n| 􀁸 Properties | 12 |\n| 􀁸 Coordinate Graphing | 13 |\n| 􀁸 Measurement Conversions | 14 |\n| 􀁸 Metric Conversions | 15 |\n| 􀁸 Order of Operations | 16 – 17 |\n| 􀁸 Integers | 18 – 19 |\n| 􀁸 Fraction Operations | 20 – 21 |\n| 􀁸 Ladder/Slide Method | 22 |\n| 􀁸 Converting Fractions, Decimals, & Percents | 23 |\n| 􀁸 Cross Products | 24 |\n| 􀁸 Ratios, Rates, & Proportions | 25 |\n| 􀁸 Comparing with Ratios, Percents, and Proportions | 26 |\n| 􀁸 Solving Percent Problems | 27 – 28 |\n| 􀁸 Substitution & Variables | 29 |\n| 􀁸 Geometric Figures | 30 – 31 |\n| 􀁸 Area, Perimeter, Circumference | 32 |\n| 􀁸 Surface Area | 33 |\n| 􀁸 Volume | 34 |\n| 􀁸 Congruent & Similar Figures | 35 |\n| 􀁸 Pythagorean Theorem | 36 |\n| 􀁸 Hands-On-Equation | 37 |\n| 􀁸 Understanding Flow Charts | 38 |\n| 􀁸 Solving Equations Mathematically | 39 |\n| 􀁸 Inequalities | 40 |\n| 􀁸 R.A.C.E.– Answering Questions | 41 |\n| 􀁸 Word Problem Cheat Sheet | 42 |\n| Math Vocabulary | 43-End |\n\n4  \nMathematic Symbols Cheat Sheet  \n\n| + Plus or Positive\u003Cbr>– Minus or Negative\u003Cbr>• * x  Multiplied by ÷ /   Divided by |  |  |  Line AS\u003Cbr> Line segment AS\u003Cbr> Ray AS\u003Cbr> Triangle ABC\u003Cbr> Angle ABC\u003Cbr> Angle B\u003Cbr> Right angle\u003Cbr> Perpendicular to\u003Cbr> Perpendicular to |  |\n| --- | --- | --- | --- | --- |\n| =\u003Cbr>≠\u003Cbr>􀁼\u003Cbr>􀀣 | Equal to\u003Cbr>NOT equal\u003Cbr>Approximately equal to\u003Cbr>Congruent to |  |  |  |\n| \u003C Is less than> Is Greater than\u003Cbr>≥ Is greater than or equal to ≤ Is less than or equal to |  |  |  |  |\n|  |  |  | | Degree\u003Cbr>Percent\u003Cbr>Sum\u003Cbr>Square root of x\u003Cbr>Pi (3.14. 159)\u003Cbr>Factorial\u003Cbr>Nth power of x\u003Cbr>Infinity |\n| a/b a:b  |  | Ratio of a to be or a divided by b or the fraction a/b |  |  |\n| (a, b) Ordered pair |  |  |  |  |\n\nTypes of Numbers – Cheat Sheet  \nPrime Number – A number that has exactly two (2) factors  \n􀁸 Zero (0) and One (1) are neither prime nor composite because they only have one factor (itself)  \nComposite Number – A number that has three (3) or more factors  \nEven  \n􀁸 Numbers ending in 0, 2, 4, 6, 8  \nOdd  \n􀁸 Numbers ending in 1, 3, 5, 7, or 9  \nDivisibility Rules  \n-  Divisible by 2 – All even numbers are divisibl","cbCaisxayM5Ykafu","https://ap.wps.com/l/cbCaisxayM5Ykafu","pdf",3926950,64,"English","# Cheat Sheets\n## Math Symbols\n## Types of Numbers\n## Divisibility Rules\n## Place Value\n## Rounding Rules\n## Comparing Decimal Rules","[{\"question\":\"What is the purpose of the Hardin Middle School Math Cheat Sheets book?\",\"answer\":\"It provides a single reference resource compiling grade 7 and 8 math topic cheat sheets for quick study and problem solving support.\"},{\"question\":\"How are topics organized in the cheat sheets?\",\"answer\":\"Topics are arranged alphabetically and supported by a table of contents listing subject areas and page ranges.\"},{\"question\":\"What kinds of math content are included?\",\"answer\":\"The sheets include math symbol definitions, number type classifications, divisibility rules, place value and rounding guidance, and topic references across many core skills such as ratios, equations, and geometry.\"}]","Hardin Middle School Math Cheat Sheets - Alphabetized Topics - Updated May 2013 | PDF",1791929736,22]