Ron Larson Laurie Boswell - NGL

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High SchoolUPDATEDEDITIONA BRIDGE TOSUCCESSRon LarsonLaurie Boswell

Enrich Learning with Big Ideas Math Expert AuthorsBig Ideas Math is pleased to offer a complete high school program builtfor student success—Big Ideas Math: A Bridge to Success—Algebra 1,Geometry, and Algebra 2. Ron Larson and Laurie Boswell’s research-basedprogram provides a rigorous, focused, and coherent curriculum for highschool students.The 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 overfour dozen textbooks. In their collaboration, Ron isprimarily responsible for the Student Edition whileLaurie is primarily responsible for the Teaching Edition.The pedagogical approach used in this program follows the best practicesoutlined in the most prominent and widely accepted educational researchincluding John Hattie’s Visible Learning, NCTM’s Principles to Actions, Jo Boaler’sMathematical Mindsets, Wiggins and McTighe’s Understanding by Design,and others.Ron Larson, Ph.D., is well known asthe lead author of a comprehensiveprogram for mathematics that spansschool mathematics and collegecourses. He holds the distinction ofProfessor Emeritus from Penn StateErie, The Behrend College, where he taught for nearly40 years. He received his Ph.D. in mathematics fromthe University of Colorado. Dr. Larson’s numerousprofessional activities keep him actively involved inthe mathematics education community and allow himto fully understand the needs of students, teachers,supervisors, and administrators.Big Ideas Math offers a program that:INSPIRESElevate student learning with a balanced approachENGAGESCaptivate student learning with innovative technology9Solving QuadraticEquations9.1 Properties of Radicals9.2 Solving Quadratic Equations by Graphing9.3 Solving Quadratic Equations UsingSquare Roots9.4 Solving Quadratic Equations byCompleting the SquareChapter Learning Target:Understand solving quadratic equations.Chapter Success Criteria: I can simplify expressions usingproperties of radicals.9.5 Solving Quadratic Equations Using the I can describe different methods for solvingQuadratic Formula9.6 Solvingg Nonlinear Systemsyof Equationsq I can solve quadratic equations. I can solve systems of nonlinear equationsquadratic equations.graphically and algebraically.We created Big Ideas Math becauseDolphinD l hi (p.( 521)Half-pipeH lf i (p.( 513)EMPOWERSMake learning visible through student accountabilitywe recognized the need for a trulyPond (p.(p 501)SEE the Big IdeaKik (p.( 493)KickerParthenon (p.(p 483)GROWSPositively impact student performance in mathematicsbalanced approach to learning,using discovery learning andscaffolded instruction.—Ron Larson, Ph.D.LO X O D O N TA A F R I C A N AAfrican ElephantCOVER: One species of African elephant, the bush elephant, is the largest livingterrestrial animal, while the forest elephant is the third-largest. African elephants arefound widely in Sub-Saharan Africa, in dense forests, mopane and miombowoodlands, Sahelian scrub, or deserts. The trunk acts as a fifth limb, a soundamplifier, and an important method of mmals/a/african-elephant/PHOTO CREDIT: Codyphotography / iStock by Getty ImagesBig Ideas Math encouragesproductive struggle. It’s not aboutbeing hard. The entire programLaurie 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.is accessible for all students.—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.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.LearningTargets andSuccess CriteriaLearning Targets and Success Criteriaencourage students to self-assess andevaluate their learning. Students andteachers receive guidance and clarity formoving from surface level to deep level.2NGL.Cengage.com/BigIdeas3

Ignite Learning with Dynamic TechnologyDynamic ClassroomThe Dynamic Classroom mimicsthe students’ Dynamic StudentEdition, with additional resourcesand support for teachers. Point-ofuse Laurie’s Notes guide instruction,providing motivation suggestions,teaching tips, questions to ask thestudents, closure strategies, andmore! Dynamic Investigations andDigital Examples from the textbookcreate a 21st-century classroomatmosphere that engages students.1Solving Linear Equations1.1 Solving Simple Equations1.2 Solving Multi-Step Equations1.3 Solving Equations with Variableson Both Sides1.4 Solving Absolute Value Equations1.5 Rewriting Equations and FormulasChapter Learning Target:Understand solving linear equations.Chapter Success Criteria: I can describe how to solve simple equations. I can solve multi-step equations. I can solve absolute value equations. I can rewrite equations and formulas.Density of Pyrite (p. 41)SEE the Big IdeaCheerleading Competition (p. 29)Boat (p. 22)Biking (p. 14)Real-Life STEM VideosEvery chapter in the Big Ideas Mathprogram contains a Real-LifeSTEM Video allowing students tofurther engage with mathematicalconcepts. Students learn about theParthenon, natural disasters, solarpower, and more!E N CO U R AG E C U R I O S I T YW I T H S T E M CO N C E P T S !Dynamic Student Edition eBookThe Dynamic Student Edition 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.Average Speed (p. 6)Audio available in English and SpanishDynamic InvestigationsDynamic Teaching ToolsThese tools feature the InteractiveWhiteboard Lesson Library. Teacherscan present any Big Ideas Math lessonfrom an interactive whiteboard. Standardwhiteboard 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 !The Dynamic Investigations in theBig Ideas Math program allow studentsand teachers to interactively completethe Big 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 !4NGL.Cengage.com/BigIdeas5

The Big Ideas Math DynamicAssessment SystemFormative practice has to have feedback and action.Use assessments to drive instructional decisions.Homework andAssessment ThatInforms—Laurie Boswell, Ed. D. Includes multiple,customizable assignmentsfor each chapter, which cancontain teacher-created items Assign homework andassessments for the entire classor a select group of students 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 Allows students to access live chat tutors for selected exercisesAssessment Reportingwith PrecisionIntuitive Design and Delivery Provides embedded tools for students Offers real-time reportingat both the class andstudent levels Includes auto-scored, technology-enhanced items such asdrag and drop, graphing, point plotting, multiple select, andfill in the blank using math expressions Organizes progress details ina variety of reports, includingQuestions, Standards, Skills,and Performance Allows teachers to include reminders or notes to students6NGL.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 objectives.Alternative AssessmentsAlternative Assessments provide teachers with theopportunity to assess students on the same content in avariety of ways.8Robust 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 Thinking Warm UpAssessment Book Prerequisite Skills Test withItem Analysis Cumulative Review Warm Up Pre-Course Test with Item Analysis Extra Practice (Practice A and B) Mid-Chapter Quizzes Enrichment and Extension Chapter Tests Puzzle Time Alternative Assessments with Scoring Rubrics Family Communication LettersAvailable in English and Spanish Performance TasksACC 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 ! Cumulative Tests Post Course Test with Item AnalysisAlgebra 1GeometryAlgebra 2CHAPTERSCHAPTERSCHAPTERS1 Solving Linear Equations1 Basics of Geometry1 Linear Functions2 Solving Linear Inequalities2 Reasoning and Proofs2 Quadratic Functions3 Graphing Linear Functions3 Parallel and Perpendicular Lines3 Quadratic Equations and Complex Numbers4 Writing Linear Functions4 Transformations4 Polynomial Functions5 Solving Systems of Linear Equations5 Congruent Triangles5 Rational Exponents and Radical Functions6 Exponential Functions and Sequences6 Relationships Within Triangles6 Exponential and Logarithmic Functions7 Polynomial Equations and Factoring7 Quadrilaterals and Other Polygons7 Rational Functions8 Graphing Quadratic Functions8 Similarity8 Sequences and Series9 Solving Quadratic Equations9 Right Triangles and Trigonometry9 Trigonometric Ratios and Functions10 Radical Functions and Equations10 Circles10 Probability11 Data Analysis and Displays11 Circumference, Area, and Volume11 Data Analysis and Statistics12 ProbabilityAdditional Topic: Composition of FunctionsAppendix A (Online): Additional Topicsin Algebra 2NGL.Cengage.com/BigIdeas

K–12 ProgramsBig Ideas Math programs offer a seamless articulation from elementary through high school. With a consistentauthor voice from level to level, students make connections through cohesive progressions and rich instruction.Big Ideas Math uses a balanced approach to engage students’ inquiring minds and empower them to becomemathematical thinkers in their daily lives.Big Ideas Math: Modeling Real Life for Grades K–5Advanced middle schoolcourses available!Big Ideas Math: Modeling Real Life for Grades 6–8IntegratedMathematicscourses alsoavailable!Precalculus / AP CalculusNational Geographic Learning proudly represents Big Ideas Math programs.Learn reInside@NatGeoLearning*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 BigIdeas Learning are registered trademarks of Larson Texts, Inc. “National Geographic”, “National Geographic Society” and the Yellow Border Design are registeredtrademarks of the National Geographic Society Marcas Registradas.APR/ 18Visit NGL.Cengage.com/repfinder to locate your sales consultantfor pricing or ordering information. Or, call 888-915-3276.

Enrich Learning with Big Ideas Math Big Ideas Math is pleased to offer a complete high school program built for student success—Big Ideas Math: A Bridge to Success—Algebra 1, Geometry, and Algebra 2. Ron Larson and Laurie Boswell’s research-based program provides a rigorous, f

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