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1、7th Grade Mathematics Exressions and Equations, Unit 3 Curriculum Ma January 6th March 7thORANGE UBLIC SCHOOLSOFFICE OF CURRICULUM AND INSTRUCTIONOFFICE OF MATHEMATICS7th Grade Unit 3 January 6th March 7th 1Table of ContentsIUnit Overview 2IIImortant Dates and Calendar 3IIICurriculum Guide 4IVReview
2、 Content Overview 5VStructure of the Modules 6VICommon Core Standards Review 7VIITeaching Multile Reresentations Review Content 8VIIICommon Core Standards Grade 7 Major Work 9IXConnections to Mathematical ractices 10XVocabulary 11otential Misconcetions 12ITeaching Multile Reresentations Grade 7 Majo
3、r Work 13-14IIAssociated Illustrative Math Tasks 15VAssessment Check 1 16XVAssessment Check 2 17XVISummative Tasks 18XVIIExtensions and Sources 197th Grade Unit 3 January 6th March 7th 2Unit OverviewIn this unit, students will develo a deeer understanding of numbers exress different reresentations o
4、f rational numbers (eg, fractions, decimals, and ercents) solve multi-ste equations and discuss the difference between equations and exressionsEnduring UnderstandingsVariables can be used to reresent numbers in any tye mathematical roblem Understand the difference in an exression and an equation Wri
5、te and solve multi-ste equations including all rational numbers 7th Grade Unit 3 January 6th March 7th 3Imortant Dates and CalendarWeek of MondayTuesdayWednesdayThursdayFriday1/6-1/10 1/13-1/17REVIEW MODULES 1/21-1/24No School Checkoint 1/27-1/311/2 Day 2/3-2/7UNIT 3 NEW CONTENT 2/10-2/142/17-2/21NO
6、 SCHOOL2/24-2/28UNIT 3 NEW CONTENT3/34-3/7Assessment WeekIMORTANT DATES Monday, Jan 20thMLK Day Friday, Jan 24thCheckoint 2 Grades 6-7 Friday, Jan 31st 1/2 Day Week of Feb 17thVACATION Friday, March 14th Data Due Friday, March 21st Data Returned to rincials7th Grade Unit 3 January 6th March 7th 4Cur
7、riculum GuideActivityCommon Core StandardsEstimated Time Common Core Review Modules6EE3-6EE812 daysCheckoint #2 (Friday, January 24th)SGO Standards1 day Moving Straight Ahead Investigations 1-47EE1, 7EE3, 7EE412 daysAssessment Check 17EE1, 7EE3 dayCommon Core Investigations Investigation 2: Equivale
8、nt Exressions7EE1, 7EE24 daysMiles to Kilometers Illustrative Mathematics Task7EE11 dayTicket to Ride Illustrative Mathematics Task7EE21 dayShrinking Illustrative Mathematics Task7EE31 dayAssessment Check 27EE21/2 daySelected ReviewBased on Assessment Checks1 dayUnit AssessmentAll StandardsWeek of 3
9、/3TOTAL DAYS34-37 days (Deending on Assessment)7th Grade Unit 3 January 6th March 7th 5Review Content OverviewRationaleAs referenced in the ARCC Model Content Frameworks, students should build on revious 6th grade work with roortions, unit rates, and grahing in rearation for deeer learning and under
10、standing of linear relationshis Students have been working with linear equations informally since kindergarten Building a strong foundation in earlier Exressions and Equations standards will aid in student success in grade 7 Exressions and Equations questions constitute 25% of the ossible oints on t
11、he Grade 7 New Jersey Assessment of Skills and Knowledge This unit lan incororates review using the rogressions of Exressions and Equations from grade 6 to grade 8To review revious content, Common Core Modules were secially designed These Modules were develoed for use in grades 3 8 and Algebra I as
12、resonse to the need for rich roblem solving tasks that satisfy higher levels of cognitive demand We took cues from the National Mathematics Advisory anels Final Reort (2008) in recognizing the mutually reinforcing benefits of concetual understanding, rocedural fluency, and automatic (ie, quick and e
13、ffortless) recall of facts( v) The Modules contain a variety of well-selected items (offering a triad of concetual, rocedural, real world and mathematical roblem solving) Students exerience a steady diet of these tyes of roblems throughout each of the Modules In an effort to rovide the District with
14、 mathematical content that is narrow, focused and dee, each Module is centered on the Critical Areas secified by the Common Core State Standards for Mathematics (CCSSM) and the riority Areas denoted within the artnershi for Assessments of Readiness for College and Careers (ARCC) Framework 7th Grade
15、Unit 3 January 6th March 7th 6Structure of the ModulesThe Modules embody 3 integrated frameworks that romote the develoment of concetual and roblems solving skills and comutational fluency The concetual framework of the Modules builds from the concrete to the ictorial to the abstract (and the constant blending of each) to hel students develo a deeer understanding of mathematics The Modules also reference a multile reresentations framework that encourages teachers to resent content in multile modalities to s
