05494nam 2200649Ia 450 991046320790332120200520144314.01-4166-1538-5(CKB)2670000000316667(EBL)1106832(OCoLC)823170584(SSID)ssj0000803510(PQKBManifestationID)11484507(PQKBTitleCode)TC0000803510(PQKBWorkID)10811083(PQKB)11468163(MiAaPQ)EBC1106832(WaSeSS)Ind00068007(Au-PeEL)EBL1106832(CaPaEBR)ebr10642085(EXLCZ)99267000000031666720120921d2012 uy 0engur|n|---|||||txtccrCommon core standards for high school mathematics[electronic resource] a quick-start guide /Amitra Schwols and Kathleen DempseyAlexandria, Va. ASCD[2012]1 online resource (175 p.)A quick-start guide Common core standards for high school mathematics Description based upon print version of record.1-4166-1462-1 Includes bibliographical references.Cover; Title Page; Copyright Page; Table of Contents; Acknowledgments; Introduction; Chapter 1: About the Common Core Mathematics Standards for High School; The Standards for Mathematical Content; The Standards for Mathematical Practice; Implications of the Standards' Structure on Teaching and Learning; How to Begin Implementation; Focus on the mathematical practice standards; Focus on critical areas; Focus on connections; Chapter 2: Number and Quantity; The Real Number System; Extend the properties of exponents to rational exponents; Use properties of rational and irrational numbersQuantitiesReason quantitatively and use units to solve problems; The Complex Number System; Perform arithmetic operations with complex numbers; Represent complex numbers and their operations on the complex plane; Use complex numbers in polynomial identities and equations; Vector and Matrix Quantities; Represent and model with vector quantities; Perform operations on vectors; Perform operations on matrices and use matrices inapplications; Chapter 3: Algebra; Seeing Structure in Expressions; Interpret the structure of expressions; Write expressions in equivalent forms to solve problemsArithmetic with Polynomials and Rational ExpressionsPerform arithmetic operations on polynomials; Understand the relationship between zeros and factors of polynomials; Use polynomial identities to solve problems; Rewrite rational expressions; Creating Equations; Create equations that describe numbers or relationships; Reasoning with Equations and Inequalities; Understand solving equations as a process of reasoning and explain the reasoning; Solve equations and inequalities in one variable; Solve systems of equations; Represent and solve equations and inequalities graphicallyChapter 4: FunctionsInterpreting Functions; Understand the concept of a function and use function notation; Interpret functions that arise in applications in terms of the context; Analyze functions using different representations; Building Functions; Build a function that models a relationship between two quantities; Build new functions from existing functions; Linear, Quadratic, and Exponential Models; Construct and compare linear, quadratic, and exponential models and solve problems; Interpret expressions for functions in terms of the situation they model; Trigonometric FunctionsExtend the domain of trigonometric functions using the unit circleModel periodic phenomena with trigonometric functions; Prove and apply trigonometric identities; Chapter 5: Geometry; Congruence; Experiment with transformations in the plane; Understand congruence in terms of rigid motions; Prove geometric theorems; Make geometric constructions; Similarity, Right Triangles, and Trigonometry; Understand similarity in terms of similarity transformations; Prove theorems involving similarity; Define trigonometric ratios and solve problems involving right trianglesApply trigonometry to general trianglesThis close-up look at the structure and content of the Common Core high school mathematics standards is designed to kick off implementation at the classroom level. Teachers will find information on how the mathematical content and practice standards work together across conceptual categories, domains, and grade bands to prepare students for the next level of study, college, or career; practical guidance on lesson planning, including a process for making the best use of the effective instructional strategies explored in Classroom Instruction That Works, 2nd ed.; and sample lessons that illustraMathematicsStudy and teaching (Secondary)StandardsEducationElectronic books.MathematicsStudy and teaching (Secondary)Standards.Education.510.71/273510.71273Schwols Amitra873890Dempsey Kathleen1952-873891MiAaPQMiAaPQMiAaPQBOOK9910463207903321Common core standards for high school mathematics1950937UNINA