Ron Larson Laurie Boswell - Cengage

Transcription

High SchoolA COMMON CORECURRICULUMRon LarsonLaurie Boswell

Empower Learning with Big Ideas MathDesigned to the Common Core State Standards, Big Ideas Math Algebra 1,Geometry, and Algebra 2 is a robust and research-based program thatuses the Standards for Mathematical Practice as its foundation. It ensuresthat students not only grasp key mathematical concepts, but enjoy makingconnections between concepts and the world around them.Create Confident Learners With: Dynamic Technology for the 21st-Century Classroom Complete Support for Teachers in Lesson Planning and Lesson Presentation Dynamic Assessment System Research-Based Content and Delivery Rigorous, Focused, and Coherent Curriculum Balanced Approach to Instruction Continuous Preparation forHigh-Stakes Assessment Embedded RTI, DifferentiatedInstruction, and ELL SupportPA N T H E R A T I G R I S S U M AT R A EWhite TigerCOVER: The Sumatran tiger (Panthera tigris sumatrae) is a rare tiger subspecies thatinhabits the Indonesian island of Sumatra. It was classified as critically endangeredby IUCN in 2008 as the population was estimated at 441 to 679 individuals, with nosubpopulation larger than 50 individuals and a declining nap/18544-panthera-tigrissumatrae.aspxPHOTO CREDIT: MirasWonderland/ iStock by Getty Images

Expert AuthorsThe Big Ideas Math authors are dedicated to fostering curiosity andconfidence in learners.Dr. Larson and Dr. Boswell began writing togetherin 1992. Since that time, they have authored overthree dozen textbooks. In their collaboration, Ron isprimarily responsible for the Student Edition whileLaurie is primarily responsible for the Teaching Edition.We created Big Ideas Math becausewe recognized the need for a trulybalanced approach to learning,using discovery learning andscaffolded instruction.—Ron Larson, Ph.D.Big Ideas Math encouragesproductive struggle. It’s not aboutbeing hard. The entire programis accessible for all students.Ron Larson, Ph.D., is well known asthe lead author of a comprehensiveprogram for mathematics thatspans middle school, high school,and college courses. He holds thedistinction of Professor Emeritusfrom Penn State Erie, The Behrend College, wherehe taught for nearly 40 years. He received his Ph.D.in mathematics from the University of Colorado.Dr. Larson’s numerous professional activities keephim actively involved in the mathematics educationcommunity and allow him to fully understandthe needs of students, teachers, supervisors, andadministrators.Laurie Boswell, Ed.D., is the formerHead of School at Riverside Schoolin Lyndonville, Vermont. In additionto textbook authoring, she providesmathematics consulting andembedded coaching sessions.Dr. Boswell received her Ed.D. from the University ofVermont in 2010. She is a recipient of the PresidentialAward for Excellence in Mathematics Teaching and isa Tandy Technology Scholar. Laurie has taught mathto students at all levels, elementary through college.In addition, Laurie has served on the NCTM Board ofDirectors and as a Regional Director for NCSM. Alongwith Ron, Laurie has co-authored numerous mathprograms and has become a popular national speaker.—Laurie Boswell, Ed.D.NGL.Cengage.com/BigIdeas1

Program Philosophy: Rigor and Balance withEmbedded Mathematical mbedded Mathematical PracticesThe Big Ideas Mathprogram balancesconceptual understandingwith procedural fluency.Real-life applications createconnections to content andhelp turn mathematicallearning into an engagingand meaningful way toexplore the real world.Real-LifeApplicationsEmbedded Mathematical Practices in grade-level content promote a greater understandingof how mathematical concepts are connected to each other and to real-life scenarios.2

In writing the Activities andExplorations, I wanted toprovide ALL students withthe opportunity to start themwith some success.—Ron Larson, Ph.D.ConceptualUnderstandingExplorations and guidingEssential Questions encourageconceptual understanding.ProceduralFluencyScaffolded lessons allow forprocedural fluency and providethe opportunity to use clear,precise mathematical language.Real-LifeApplicationsReal-life applications providestudents with opportunities to createconnections between classroomlessons and realistic scenarios.NGL.Cengage.com/BigIdeas3

Ignite Learning with Dynamic TechnologyDynamic ClassroomThe Dynamic Classroom is a digitallesson presentation tool built toengage students. Teachers canprogress through each lesson fromopening to closing with one simpleclick. The Dynamic Classroomincludes daily lesson resources likethe Dynamic Investigations andStudent Journal, as well as a variety ofinteractive teaching tools.Student Dynamic eBookThe Student Dynamic eBook is a complete electronicversion of the Student Edition that includes interactive digitalresources. The eBook allows students to navigate through thetextbook, highlight important information, and add notesor bookmarks. While this eBook is available off-line, with adata or internet connection, students can access embedded,digital enhancements.Audio available in English and SpanishDynamic InvestigationsThe Dynamic Investigations in theBig Ideas Math program allow studentsand teachers to interactively complete theBig Ideas Math explorations.C R E AT E CO N N E C T I O N ST H R O U G H E X P LO R AT I O N !4

Real-Life STEM VideosEvery chapter in the Big Ideas Math program contains a Real-LifeSTEM Video allowing students to further engage with mathematicalconcepts. Students learn about the Parthenon, natural disasters, solarpower, and more!E N CO U R AG E C U R I O S I T Y W I T H S T E M CO N C E P T S !Dynamic Teaching ToolsThese tools feature the Interactive Whiteboard Lesson Library.Teachers can present any Big Ideas Math lesson from an interactivewhiteboard. Standard whiteboard lessons and customizabletemplates are included.V I S UA L LY R I C H P R E S E N TAT I O N S !Dynamic AssessmentSystemThe Dynamic AssessmentSystem allows teachers to trackand evaluate their students’advancement through thecurriculum. Developedexclusively for Big Ideas Math,this technology provides teachersand students an intuitive andstate-of-the-art tool to helpstudents effectively learnmathematics. Built for ease ofuse, the tool is available on awide range of devices.NGL.Cengage.com/BigIdeas5

The Big Ideas Math DynamicAssessment SystemHomework andAssessment ThatInforms Includes multiple,customizable assignmentsfor each chapter Assign homework andassessments for the entireclass or a select group ofstudents Offers progress monitoringassessments for an adaptivetesting experienceR E S TO R E S T U D E N TCO N F I D E N C E !Direct Ties to Remediation Includes direct links to Lesson Tutorial Videos and relevant lesson sections Allows students to access live chat tutors for selected exercisesAssessment Reportingwith Precision Offers real-time reporting atboth the class and studentlevels Tracks progress throughAssignment Performance,Remediation, and Standardsreports.6

Formative practice has to have feedback and action.Use assessments to drive instructional decisions.—Laurie Boswell, Ed. D.Assessment Delivery Provides embedded toolsfor students Includes auto-scored,technology-enhanceditems such as drag anddrop, graphing, pointplotting, multiple select,and fill in the blank usingmath expressions Allows teachers to includereminders or notes tostudentsIntuitive Design Operates on a wide rangeof devices with large andclear icons for visibility Allows for multiplereporting views throughtoggle options Includes intelligentpresets and easynavigationNGL.Cengage.com/BigIdeas7

Preparation for the Journey TowardHigh-Stakes TestingEach chapter of the Big Ideas Math program features question types frequently found on standardizedtests. The balanced approach to instruction also helps students develop the habits of mind required tobe successful on high-stakes tests.ExercisesThe Exercises in the Big Ideas Math program providestudents with opportunities to use multiple approaches tosolve problems.Dynamic Assessment SystemThis tool allows teachers to provide customizablehomework directly related to the Big Ideas Math program.Assignments are automatically scored and students haveaccess to immediate remediation on homework questions.ExplorationsThe Explorations that begin each section require studentsto use higher-level thinking to work through each problemand to explain their reasoning in the solution.Cumulative AssessmentsEach chapter in the Big Ideas Math program includes aCumulative Assessment. The questions in each assessmentwere carefully chosen to represent problem types andreasoning patterns frequently found on standardized tests.Quizzes and TestsThe Quizzes and Tests in the Big Ideas Math programassess the concepts students learned in each lesson.Online Test PracticeSelf-grading tests are available online, allowing students toreceive immediate feedback on their progress.Performance TasksEach chapter of the Big Ideas Math program contains aPerformance Task in the Assessment Book and an onlinePerformance Task that correlates to the STEM video of thechapter. Each Performance Task allows students to workwith multiple standards.Alternative AssessmentsAlternative Assessments provide teachers with theopportunity to assess students on the same content in avariety of ways.8

Robust Print Support for All LearnersStudent EditionThe Student Edition was designed using the Universal Design forLearning Guidelines (CAST 2011) and features carefully chosenimages that increase student engagement and enhance themathematical content.Teaching EditionThe Teaching Edition provides teachers with complete supportfor every Big Ideas Math lesson. Master educator Laurie Boswellincorporates instructional insights and recommendations inLaurie’s Notes.Student Journal Available in English and SpanishThis consumable workbook serves as a valuable resource wherestudents can solve extra practice problems, take notes, and internalizenew concepts by expressing their findings in their own words.Resources by Chapter Start ThinkingAssessment Book Performance Tasks Warm Up Cumulative Review Warm Up Prerequisite Skills Tests with ItemAnalysis Extra Practice (Practice A and B) Cumulative Tests Enrichment and Extension Mid-Chapter Quizzes Puzzle Time Chapter Tests Family Communication LettersAvailable in English and Spanish Alternative Assessments withScoring Rubrics Pre-Course Test with ItemAnalysis Post-Course Test with ItemAnalysisCO N V E N I E N T LYACC E S S A L L P R I N TCO M P O N E N T S O N L I N E ATB I G I D E A S M AT H . CO M !NGL.Cengage.com/BigIdeas

Count on us for your Larson solutions from Grade 6 through AP MIDDLE SCHOOLHIGH SCHOOLPRECALCULUS/AP CALCULUSAlgebra 1GeometryAlgebra 2CHAPTERSCHAPTERSCHAPTERS1Solving Linear Equations1Basics of Geometry1Linear Functions2Solving Linear Inequalities2Reasoning and Proofs2Quadratic Functions3Graphing Linear Functions3Parallel and Perpendicular Lines34Writing Linear Functions4TransformationsQuadratic Equations and ComplexNumbers5 Solving Systems of Linear Equations5Congruent Triangles4Polynomial Functions6 Exponential Functions and Sequences6Relationships Within Triangles57 Polynomial Equations and Factoring7Quadrilaterals and Other PolygonsRational Exponents and RadicalFunctions8Graphing Quadratic Functions8Similarity6Exponential and Logarithmic Functions9Solving Quadratic Equations9Right Triangles and Trigonometry7Rational Functions10Radical Functions and Equations10Circles8Sequences and Series11Data Analysis and Displays11Circumference, Area, and Volume12Probability9Trigonometric Ratios and Functions10Probability11Data Analysis and StatisticsLearn deasMath@natgeolearning@BigIdeasMathVisit NGL.Cengage.com/repfinder to locate your sales consultantfor pricing or ordering information. Or, call 888-915-3276.JUNE/17*AP is a registered trademark of the College Board, which was not involved in the production and does not endorse this product.Big Ideas Math and Big Ideas Learning are registered trademarks of Larson Texts, Inc.“National Geographic”, “National Geographic Society” and the Yellow Border Design are registered trademarks of the National Geographic Society Marcas Registradas.

Designed to the Common Core State Standards, Big Ideas Math Algebra 1, Geometry, and Algebra 2 is a robust and research-based program that uses the Standards for Mathematical Practice as its foundation. It ensures that students not only grasp key mathematical concepts, but enjoy makin