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The material covers irrational and rational number approximation, decimal expansions, and integer exponent properties. It includes work with radicals, scientific notation operations, and estimating very large or small quantities. It also addresses proportional relationships, linear equations, slope relationships, solving linear systems, functions modeling via graphs/tables, and geometry topics such as congruence, similarity, and transformations using coordinates and informal arguments.",{"@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/common-core-alignment-software-infinite-pre-algebra-grade-8-standards/522404/",{"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/common-core-alignment-software-infinite-pre-algebra-grade-8-standards/522404.png","ImageObject",300,407,{"name":92,"@type":93},"Jiven","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What topics are covered under Grade 8 The Number System (8.NS)?","Question",{"text":112,"@type":113},"It focuses on identifying irrational numbers and approximating them with rational numbers, including understanding decimal expansions and converting repeating decimals to rational numbers.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What skills are included in Grade 8 Expressions and Equations (8.EE)?",{"text":117,"@type":113},"It includes applying properties of integer exponents, working with radicals, using scientific notation (including mixed decimal and scientific notation), and solving/transforming linear equations and systems.",{"name":119,"@type":110,"acceptedAnswer":120},"How does Infinite Pre-Algebra address functions and geometry standards?",{"text":121,"@type":113},"It covers defining and comparing functions, interpreting and modeling linear functions from descriptions, tables, or graphs, and using geometry transformations and congruence/similarity reasoning with coordinates and models.","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},522404,1791482540,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":145,"preview_page_count":4},1099513958607,"https://ap-avatar.wpscdn.com/avatar/100002390cf8733938c?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778829742770036399","Common Core Alignment Software version 2.05 Last revised July 2015  \nInfinite Pre-Algebra supports the teaching of the Common Core State Standards listed below.  \nIntended as an 8th grade course, Infinite Pre-Algebra supports standards from before grade six  \nthrough high school.  \nGrade 8 Standards ‐ The Number System (8.NS)  \nKnow that there are numbers that are not rational, and approximate them by rational numbers.  \n8. NS‐1 Know that numbers that are not rational are called irrational.  \nUnderstand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.  \n\n| Grade 8 Standards ‐ Expressions and Equations (8.EE) |\n| --- |\n| Work with radicals and integer exponents. |\n\n8.EE‐1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × 3⁻⁵ = 3⁻³ = 1/3³ = 1/27 .  \n8.EE‐3  \n8.EE‐4  \n8.EE‐6  \nUse numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 10⁸ and the population of the world as 7 × 10⁹, and determine that the world population is more than 20 times larger.  \n\n| Perform operations with numbers expressed in scientific notation,\u003Cbr>including problems where both decimal and scientific notation are\u003Cbr>used. Use scientific notation and choose units of appropriate size\u003Cbr>for measurements of very large or very small quantities (e.g., use\u003Cbr>millimeters per year for seafloor spreading) . Interpret scientific\u003Cbr>notation that has been generated by technology. |\n| --- |\n| Understand the connections between proportional relationships,\u003Cbr>lines, and linear equations. |\n| Use similar triangles to explain why the slope m is the same between\u003Cbr>any two distinct points on a non‐vertical line in the coordinate plane;\u003Cbr>derive the equation y = mx for a line through the origin and the\u003Cbr>equation y = mx + b for a line intercepting the vertical axis at b. |\n\nAnalyze and solve linear equations and pairs of simultaneous linear equations.  \n8.EE‐7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers) .  \n8.EE‐7b  \n8.EE‐8a  \n8.EE‐8b  \n8.EE‐8c  \n8.F‐1  \n8.F‐3  \n8.F‐4  \nSolve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms  \n\n| Understand that solutions to a system of two linear equations\u003Cbr>in two variables correspond to points of intersection of their\u003Cbr>graphs, because points of intersection satisfy both equations\u003Cbr>simultaneously. |\n| --- |\n| Solve systems of two linear equations in two variables\u003Cbr>algebraically, and estimate solutions by graphing the equations.\u003Cbr>Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x +\u003Cbr>2y = 6 have no solution because 3x + 2y cannot simultaneously be 5\u003Cbr>and 6. |\n| Solve real‐world and mathematical problems leading to two linear\u003Cbr>equations in two variables. For example, given coordinates for two\u003Cbr>pairs of points, determine whether the line through the first pair of\u003Cbr>points intersects the line through the second pair. |\n\nGrade 8 Standards ‐ Functions (8.F)  \n\n| Define, evaluate, and compare functions. |\n| --- |\n| Understand that a function is a rule that assigns to each input exactly\u003Cbr>one output. The graph of a function is the set of ordered pairs\u003Cbr>consisting of an input and the corresponding output. |\n| Interpret the equation y = mx + b as defining a linear function, whose\u003Cbr>gr","cbCain1XiaMDGYvZ","https://ap.wps.com/l/cbCain1XiaMDGYvZ","pdf",202943,13,"English","# Grade 8 Standards - The Number System (8.NS)\n## Grade 8 Standards - Expressions and Equations (8.EE)\n## Grade 8 Standards - Functions (8.F)\n## Grade 8 Standards - Geometry (8.G)\n## Grade 8 Geometry and Transformations","[{\"question\":\"What topics are covered under Grade 8 The Number System (8.NS)?\",\"answer\":\"It focuses on identifying irrational numbers and approximating them with rational numbers, including understanding decimal expansions and converting repeating decimals to rational numbers.\"},{\"question\":\"What skills are included in Grade 8 Expressions and Equations (8.EE)?\",\"answer\":\"It includes applying properties of integer exponents, working with radicals, using scientific notation (including mixed decimal and scientific notation), and solving/transforming linear equations and systems.\"},{\"question\":\"How does Infinite Pre-Algebra address functions and geometry standards?\",\"answer\":\"It covers defining and comparing functions, interpreting and modeling linear functions from descriptions, tables, or graphs, and using geometry transformations and congruence/similarity reasoning with coordinates and models.\"}]","Common Core Alignment Software - Infinite Pre-Algebra - Grade 8 Standards | PDF",1791425729,33]