[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485031-105":3,"doc-detail-485031-en":81,"detail-sidebar-cat-0-en-105":98},{"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","integrated-algebra-course-scope-and-sequence-september-2023","Integrated Algebra - Course Scope and Sequence - September 2023","","Integrated Algebra is a mathematics course for students who completed Algebra I and Geometry but need additional support, especially in Algebra I. The curriculum combines thorough review with extension of algebraic skills across linear, quadratic, polynomial, roots, and rational exponents. Students study solving and graphing linear and quadratic functions, factoring and solving quadratics, working with polynomials using long/synthetic division, and applying function notation to model real-life problems. 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It provides both review and reinforcement as well as extension of algebraic concepts.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What topics are covered in the linear unit?",{"text":68,"@type":64},"Students solve linear equations, identify linear functions and equations, find x- and y-intercepts, and determine rates of change and slopes. They also graph lines and write equations in slope-intercept and point-slope forms, including systems using multiple methods.",{"name":70,"@type":61,"acceptedAnswer":71},"How does the course prepare students for standardized assessments?",{"text":72,"@type":64},"Students review key algebraic and equation-solving techniques and practice problem-solving strategies throughout each unit. Course completion is measured through teacher-generated assessments, projects, and assignments, aligned to required assessments.","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},485031,1790825493,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":91,"language":92,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":93,"faqs":94,"seo_title":95,"seo_description":12,"update_tm":96,"read_time":97,"preview_page_count":4},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Mathematics Department  \nCourse: Integrated Algebra-Brief Description  \nIntegrated Algebra is designed for students who have completed Algebra I and Geometry, but experienced difficulties, particularly in Algebra 1. The course aims to provide both a thorough review and reinforcement of algebraic skills and concepts from Algebra I and an extension of such topics. This course will require students to review and extend algebraic and equationsolving techniques for linear, quadratic, and polynomial equations, as well as for systems of equations. Students will use function notation and will analyze and graph linear and quadratic functions. Real-life applications are integrated within each unit of study. Students will also review skills and problem-solving strategies in preparation for standardized and required assessments. 77 Successful completion of this course will be measured through teachergenerated assessments, projects, and assignments. This course can be counted in partial fulfillment of the state-mandated fifteen (15) credits of mathematics.  \nDeveloped by: Jessica Mabel, Leann Martin  \nSupported by: David Sorensen, Lauren Kosakowski  \nEffective: September 2023 Scope and Sequence  \n\n| Month | Integrated Algebra |\n| --- | --- |\n| September | Prerequisites- (No Calculators Prefered)\u003Cbr>-Add/Sub/Mult/Divide Integers, fractions, and decimals\u003Cbr>-Order of Operations\u003Cbr>Unit 1: Degree One: Linear\u003Cbr>-Solve linear equations using add/sub/mult/division\u003Cbr>-Solve a formula for one of its variables\u003Cbr>-Identify linear functions and linear equations\u003Cbr>-Find x-and y-intercepts to graph lines and interpret their meanings in real-world situations\u003Cbr>-Find rates of change and slopes |\n\n\n|  | -Write and graph a linear equation in slope-intercept form\u003Cbr>-Graph a line and write a linear equation using point-slope form\u003Cbr>-Identify, graph, and write equations of parallel and perpendicular lines.\u003Cbr>-Describe how changing slope and y-intercept affect the graph of a linear function.\u003Cbr>-Solve systems of equations by graphing, elimination, and substitution |\n| --- | --- |\n| October | Unit 2: Degree 2: Quadratics\u003Cbr>Factoring Quadratic Expressions\u003Cbr>-Find the GCF of monomials\u003Cbr>-Factor polynomials by using the greatest common factor\u003Cbr>-Factor polynomials by grouping\u003Cbr>-Factor quadratic trinomials\u003Cbr>-Factor perfect-square trinomials and the difference of two squares |\n| November | Unit 2: Degree 2: Quadratics (Cont.)\u003Cbr>Solving Quadratic Equations\u003Cbr>- Find the roots of a quadratic equation by factoring.\u003Cbr>- Solve quadratic equations by taking the square root of both sides.\u003Cbr>- Perform operations on complex numbers.\u003Cbr>- Solve quadratic equations by completing the square.\u003Cbr>- Use completing the square to write quadratic functions in vertex form y = a (x – h)2 + k. |\n| December | Unit 2: Degree 2-Quadratics- (Cont.)\u003Cbr>More Solving Equations and Connection to Related Functions\u003Cbr>- Solve quadratic equations using the quadratic formula.\u003Cbr>- Find the discriminant of a quadratic equation and use the value to describe the nature of the solutions and to choose the best method for solving.\u003Cbr>- Write and graph quadratic functions in standard form (y = ax2 + bx + c), vertex form (y = a(x – h)2 + k), and intercept form (y = a(x – p)(x – q)) .\u003Cbr>- Solve quadratic inequalities in one variable by graphing and algebraically. |\n| January | Unit 2: Degree 2-Quadratics (Cont)\u003Cbr>More Functions and Graphing\u003Cbr>-Find the vertex, axis of symmetry, domain and range, x and y intercepts of quadratic functions.\u003Cbr>-Graph Quadratic functions in standard form, vertex form, and intercept form.\u003Cbr>- Solve quadratic inequalities in one variable by graphing and algebraically. |\n\n\n|  | -Graph quadratic inequalities in two variables to show all solutions.\u003Cbr>-Use quadratic equations, inequalities, and functions to model and solve real-life problems. |\n| --- | --- |\n| February | Unit 3: Polynomials\u003Cbr>Polynomial Expressions-Polynomial Operations\u003Cbr>Evaluate and simpli","cbCaiiBZyXBk7hcb","https://ap.wps.com/l/cbCaiiBZyXBk7hcb","pdf",556583,40,"English","# Course Overview\n## Prerequisites and Course Intent\n## Assessment and Credit Alignment\n# Scope and Sequence (September 2023)\n## September: Unit 1 Degree One - Linear\n## October: Unit 2 Degree 2 - Quadratics (Factoring)\n## November: Unit 2 - Solving Quadratic Equations\n## December: Unit 2 - Continued Solving and Function Forms\n## January: Unit 2 - Functions and Graphing\n## February: Unit 3 - Polynomials\n## March: Unit 3 - Factoring and Solving (Degree 2 and Higher)\n## April: Unit 3 - Theorem Connections and Graphing\n## May: Review of Properties of All Functions\n## June: Roots and Rational Exponents - Final Review","[{\"question\":\"Who is Integrated Algebra designed for?\",\"answer\":\"Integrated Algebra is designed for students who have completed Algebra I and Geometry but experience difficulties, particularly in Algebra I. It provides both review and reinforcement as well as extension of algebraic concepts.\"},{\"question\":\"What topics are covered in the linear unit?\",\"answer\":\"Students solve linear equations, identify linear functions and equations, find x- and y-intercepts, and determine rates of change and slopes. They also graph lines and write equations in slope-intercept and point-slope forms, including systems using multiple methods.\"},{\"question\":\"How does the course prepare students for standardized assessments?\",\"answer\":\"Students review key algebraic and equation-solving techniques and practice problem-solving strategies throughout each unit. Course completion is measured through teacher-generated assessments, projects, and assignments, aligned to required assessments.\"}]","Integrated Algebra - Course Scope and Sequence - September 2023 | PDF",1790803509,101,{"code":4,"msg":82,"data":99},[100,104,108,111,116,121,125,130,135,138,142],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":109,"slug":110},70,"exam",{"id":112,"doc_module":4,"doc_module_name":25,"category_name":113,"show_sort_weight":114,"slug":115},5,"Comic",60,"comic",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":118,"show_sort_weight":119,"slug":120},6,"Technology",50,"technology",{"id":122,"doc_module":4,"doc_module_name":25,"category_name":123,"show_sort_weight":91,"slug":124},7,"Healthcare","healthcare",{"id":126,"doc_module":4,"doc_module_name":25,"category_name":127,"show_sort_weight":128,"slug":129},8,"Research & Report",30,"research-report",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":132,"show_sort_weight":133,"slug":134},9,"Religion & Spirituality",20,"religion-spirituality",{"id":133,"doc_module":4,"doc_module_name":25,"category_name":136,"show_sort_weight":133,"slug":137},"World Cup","world-cup",{"id":139,"doc_module":4,"doc_module_name":25,"category_name":140,"show_sort_weight":139,"slug":141},10,"Lifestyle","lifestyle",{"id":143,"doc_module":4,"doc_module_name":25,"category_name":144,"show_sort_weight":112,"slug":145},19,"General","general"]