[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-448780-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-448780-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","polynomials-learn-at-your-own-pace","Polynomials - Learn at your own pace","","Curriculum for learning operations with polynomials through a scenario-based, student-centered and teacher-guided approach. The material guides learners to try each scenario, check against an answer key, and edit mistakes before moving to the next scenario. It covers key polynomial concepts and skills, including monomials, binomials, trinomials, adding and subtracting polynomials, multiplying polynomials and binomials, writing polynomials in standard form, and applying these ideas to word problems and modeled equations.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/polynomials-learn-at-your-own-pace/448780/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/polynomials-learn-at-your-own-pace/448780.png","ImageObject",300,407,{"name":42,"@type":43},"Aria Callaghan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-14","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the learning process used in this curriculum?","Question",{"text":63,"@type":64},"Learners try each scenario on their own, check the answer key, then edit and fix mistakes and seek guidance if needed before advancing to the next scenario.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How does the curriculum define a polynomial?",{"text":68,"@type":64},"A polynomial is defined as a sum of terms, and it can be as simple as only one term.",{"name":70,"@type":61,"acceptedAnswer":71},"What are monomials, binomials, and trinomials in this curriculum?",{"text":72,"@type":64},"A monomial contains only one term (with a rule about variables being multiplied rather than divided). A binomial is the sum of monomials, and a trinomial is the sum of monomials as well, each classified by how many terms they contain.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},448780,1791071255,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145},962084926284,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Book 4ok 4  \n(公\u003C  \nLearn at your own pace.  \nOperations with Polynomials  \nStudent-centered.Teacher-guided.  \nhttps://archive.org/details/isbn  \n9781975029043  \nHow this curriculum is designed               \nThis curriculum is designed to guide you through a sequence of scenarios that relate to a commontopic in mathematics.As you progress through the scenarios,use the approach listed below.  \nStep 1:Try.Do the scenario on your own.  \nStep 2:Check.Look at the answer key.It may match or relate to your result.It may teachyou something new.It may show you that you need guidance from someone else.  \nStep 3:Edit.Find and fix your mistakes if you can.Seek guidance,if needed.  \nAfter Step 3,advance to the next scenario and do Step 1again.  \nAdvice from students who have used this curriculum  \n\"The answer key is there to help you.Use it.\"  \n\"Check the answer key after every scenario.\"  \n\"Try to find connections between different scenarios.\"  \n\"Focus on each scenario and try to understand how it connects to the main topic.\"  \n\"Read the explanations between problems or sets of problems because everything is connected andthe information will still apply in 2 problems or 20 problems.\"  \n\"If you have a question,go back to previous scenarios because there are steps that build up to whereyou are.\"  \nContents  \nIntroduction to polynomials  \nMonomials,binomials,and trinomials  \nAdding polynomials  \nSubtracting polynomials  \nMultiplying polynomials  \nWriting polynomials in Standard Form  \nMultiplying binomials to form another binomial  \nSquaring a binomial to make a perfect square trinomial  \nPolynomials  \n   \n1.When you worked with linear equations in previous lessons,you learned that when an equationcontains two variables,if you replace one variable with a number,you can solve the equation to findthe value of the other variable.As a matter of review,consider the equation A=2m+20.  \nb.What is the value of A if m=0?a.What is the value ofA if m=5?  \nc.What value of m would make A=10?  \n2.When you sip water from a drinking fountain,the water usually follows a curved path called aparabola as it shoots out of the fountain.For one type of fountain,the water follows a curved paththat is modeled by the equation H=-0.2x²+2x+1.In this equation,His the height of the water,ininches,andx is the distance the water has traveled horizontally,in inches,moving from left to right.  \na.What is the height of the water after it has moved 1inch horizontally?  \nb.Is the water higher after it has moved 5 inches to the right or after it has moved 6 inchesto the right?  \nIn the equation H=-0.2x²+2x+1,ifx=5,you can replacex with 5 to get H=-0.2(5)²+2(5)+1 orH=6 inches.In other words,the water is 6 inches above the fountain when it has moved 5 inches tothe right of the fountain.  \nThe equation in the previous scenario contains an expression with 3 terms.A term is defined as aproduct or quotient of numbers and variables,although a term can be as simple as a single number.  \nSix examples of terms are:10  \nThe 3-term expression in the previous scenario (-0.2x²+2x²+1)is known as a polynomial.Apolynomial is defined as a sum of terms,although a polynomial can be as simple as only one term.Three types of polynomials have names that we will refer to from now onward.  \n   \n3.A monomial contains only one term,with a confusing restriction.A term is called a monomial only ifit contains a product of variables,such as 10yor 5x²y.A term is not called a monomial ifit is thequotient of a variable,such as 10÷y,.Of the 6 terms listed above,only the first fourterms are also known as monomials.Circle each expression below if it is a monomial,  \n   \n   \na.3x  \nd.3xy  \nf.3x+y  \n# 4.A binomial is the sum of\n\nmonomials.Circle each expression below if it is a binomial.  \n   \na.f+gb.2f+3ge.fg+5xy  \n# 5.A trinomial is the sum of\n\nmonomials.Circle each expression below if it is a trinomial.  \n   \nb.x+y+zd.x²-5x+7a.xyz  \nPolynomials that contain more than 3 terms don't show up as often as monomials,bin","cbCaib94VSlG1NG3","https://ap.wps.com/l/cbCaib94VSlG1NG3","pdf",3119959,56,"English","# Introduction to polynomials\n## Monomials, binomials, and trinomials\n## Adding and subtracting polynomials\n## Multiplying polynomials\n## Writing polynomials in standard form\n## Multiplying binomials and squaring a binomial\n## Classifying and simplifying polynomials","[{\"question\":\"What is the learning process used in this curriculum?\",\"answer\":\"Learners try each scenario on their own, check the answer key, then edit and fix mistakes and seek guidance if needed before advancing to the next scenario.\"},{\"question\":\"How does the curriculum define a polynomial?\",\"answer\":\"A polynomial is defined as a sum of terms, and it can be as simple as only one term.\"},{\"question\":\"What are monomials, binomials, and trinomials in this curriculum?\",\"answer\":\"A monomial contains only one term (with a rule about variables being multiplied rather than divided). A binomial is the sum of monomials, and a trinomial is the sum of monomials as well, each classified by how many terms they contain.\"}]","Polynomials - Learn at your own pace | PDF",1790728727,141]