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Middle SchoolA COMMON CORECURRICULUMRon LarsonLaurie Boswell

Empower Learning with Big Ideas MathDesigned to the Common Core State Standards, the Big Ideas Math Middle School program is a robust and research-based program that uses theStandards for Mathematical Practice as its foundation. It ensures that studentsnot only grasp key mathematical concepts, but enjoy making connectionsbetween 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 SupportCANIS LUPUSGray WolfCOVER: The Gray Wolf (Canis lupus) is the largest member of the dog family.Adaptable gray wolves are by far the most common and were once found all overthe Northern Hemisphere. In the lower 48 states, gray wolves were hunted to nearextinction, though some populations survived and others have since beenreintroduced. Few gray wolves survive in Europe, though many live in Alaska,Canada, and mals/g/gray-wolf/PHOTO CREDIT: Zocha K / 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.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.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.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

Multiple Pathways to Student SuccessThe Regular PathwayBig Ideas Math Greenprepares students for Algebra 1 orIntegrated I in the 9th Grade.12345678910The Compacted PathwayBig Ideas Math GreenNumerical Expressions and FactorsFractions and DecimalsAlgebraic Expressions and PropertiesAreas of PolygonsRatios and RatesIntegers and the Coordinate PlaneEquations and InequalitiesSurface Area and VolumeStatistical MeasuresData Displaysprepares accelerated learners forAlgebra 1 or Integrated I in their thirdyear of middle school.12345678910The Advanced PathwayBig Ideas Math Advanced 1allows students to complete theCommon Core State Standards forGrades 6, 7, and 8 in two years andprepares students for high schoolAlgebra 1 or Integrated I in their thirdyear of middle school.4123456789101112131415Numerical Expressions and FactorsFractions and DecimalsAlgebraic Expressions and PropertiesAreas of PolygonsRatios and RatesIntegers and the Coordinate PlaneEquations and InequalitiesSurface Area and VolumeStatistical MeasuresData DisplaysNumerical Expressions and FactorsFractions and DecimalsAlgebraic Expressions and PropertiesAreas of PolygonsRatios and RatesIntegers and the Coordinate PlaneEquations and InequalitiesSurface Area and VolumeStatistical MeasuresData DisplaysIntegersRational NumbersExpressions and EquationsRatios and ProportionsPercents

Big Ideas Math RedBig Ideas Math Blue1234567891012345678910IntegersRational NumbersExpressions and EquationsInequalitiesRatios and ProportionsPercentsConstructions and Scale DrawingsCircles and AreaSurface Area and VolumeProbability and StatisticsEquationsTransformationsAngles and TrianglesGraphing and Writing Linear EquationsSystems of Linear EquationsFunctionsReal Numbers and the Pythagorean TheoremVolume and Similar SolidsData Analysis and DisplaysExponents and Scientific NotationBig Ideas Math AcceleratedBig Ideas Math Algebra nal NumbersExpressions and EquationsInequalitiesRatios and ProportionsPercentsConstructions and Scale DrawingsCircles and AreaSurface Area and VolumeProbability and StatisticsTransformationsAngles and TrianglesGraphing and Writing Linear EquationsReal Numbers and the Pythagorean TheoremVolume and Similar SolidsExponents and Scientific NotationSolving Linear EquationsSolving Linear InequalitiesGraphing Linear FunctionsWriting Linear FunctionsSolving Systems of Linear EquationsExponential Functions and SequencesPolynomial Equations and FactoringGraphing Quadratic FunctionsSolving Quadratic EquationsRadical Functions and EquationsData Analysis and DisplaysBig Ideas Math Middle School Algebra 1 will also complete this pathway.Big Ideas Math Advanced 2Big Ideas Math Algebra ormationsAngles and TrianglesGraphing and Writing Linear EquationsSystems of Linear EquationsFunctionsReal Numbers and the Pythagorean TheoremVolume and Similar SolidsData Analysis and DisplaysExponents and Scientific NotationInequalitiesConstruction and Scale DrawingsCircles and AreaSurface Area and VolumeProbability and StatisticsSolving Linear EquationsSolving Linear InequalitiesGraphing Linear FunctionsWriting Linear FunctionsSolving Systems of Linear EquationsExponential Functions and SequencesPolynomial Equations and FactoringGraphing Quadratic FunctionsSolving Quadratic EquationsRadical Functions and EquationsData Analysis and DisplaysBig Ideas Math Middle School Algebra 1 will also complete this pathway.NGL.Cengage.com/BigIdeas5

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 like theDynamic Investigations and Recordand Practice Journal, as well as avariety of interactive 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 !6

Lesson Tutorial VideosThese two- to three-minute lesson tutorials provide colorful visualsand audio support for every example in the textbook. The tutorialsare an invaluable resource for students who are absent, who needa second explanation, or who need help with homework.E N CO U R AG E A L L S T U D E N T S W I T H E N G AG I N G V I S UA L 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. Developed exclusivelyfor Big Ideas Math, this technologyprovides teachers and studentsan intuitive and state-of-the-arttool to help students effectivelylearn mathematics. The DynamicAssessment System also includesdirect links to Lesson TutorialVideos and related sectionsfrom the textbook. Built forease of use, the tool isavailable on a wide rangeof devices.NGL.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 customizable homeworkdirectly related to the Big Ideas Math program. Assignmentsare automatically scored and students have access toimmediate remediation on homework questions.ActivitiesThe Activities that begin each section require students to usehigher-level thinking to work through each problem and toexplain 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 program assessthe concepts students learned in each lesson.Online Test PracticeSelf-grading tests are available in the Student DynamiceBook, allowing students to receive immediate feedback ontheir progress.Performance TasksEach chapter of the Big Ideas Math program contains aPerformance Task that correlates to the STEM video of thechapter and allows students to work with multiple standards.There are also Performance Tasks written to every middleschool standard that teachers can use wherever they see fit.8Alternative AssessmentsAlternative Assessments provide teachers with theopportunity to assess students on the same content in avariety of ways.