West Deptfrd Middle Schl 8th Grade Curriculum Unit 4 Investigate Bivariate Data Office f Curriculum and Instructin West Deptfrd Middle Schl 675 Grve Rd, Paulsbr, NJ 08066 wdeptfrd.k12.nj.us (856) 848-1200
West Deptfrd Twnship Schls Curse f Study/Curriculum Guide Curricular Area: Mathematics Curse Title: Investigate Bivariate Data Grade Level: 8 Written by: William Malne & Eric Stanwd Reviewed by: Laura Sandy Apprved by: Shawnequa Carvalh Bard f Educatin Apprval: September 2017
Unit Investigate Bivariate Data Standards Math Practices (MP) Prerequisite Skills Fcus Math Cncepts Cmmn Misunderstanding Critical Knwledge and Skills 8.SP.A.1 - Cnstruct and interpret scatter plts fr bivariate measurement data t investigate patterns f assciatin between tw quantities. Describe patterns such as clustering, utliers, psitive r negative assciatins, linear assciatins, and nnlinear assciatins. MP2 MP3 MP4 MP7 MP8 CRP *** CRP2 CRP4 CRP7 CRP8 CRP9 CRP11 CRP12 In Tpic 2 and Tpic 3: Intrduced t linear equatins Learned t sketch and analyze the graphs f functins Unable t identify the independent and dependent variables. Struggle with understanding the value f a pint in the scatter plt (ie. cmparing the tw units being measured) Enduring Understanding: Cnstruct a scatter plt and use it t understand the relatinship between paired data. Essential Questin: Hw can I cnstruct a scatter plt graph t mdel paired data? Hw can I utilize a scatter plt t identify and interpret the relatinship between paired data?
Unit Investigate Bivariate Data Standards Math Practices (MP) Prerequisite Skills Fcus Math Cncepts Cmmn Misunderstanding Critical Knwledge and Skills 8.SP.A.2 - Knw that straight lines are widely used t mdel relatinships between tw quantitative variables. Fr scatter plts that suggest a linear assciatin, infrmally fit a straight line, and infrmally assess the mdel fit by judging the clseness f the data pints t the line. MP3 MP7 CRP CRP2 CRP4 CRP7 CRP8 CRP9 CRP11 CRP12 Previusly in this tpic: Created and analyzed scatter plts displaying paired data. Unable t understand what linear r nnlinear means. Nt creating a linear line that fits the data in the scatter plt. Enduring Understanding: Use a line t represent the relatinship between paired data. Essential Questin: Hw can I recgnize whether the paired data has a linear assciatin, a nnlinear assciatin, r n assciatin? Hw can I draw a trendline t determine whether a linear assciatin is psitive r negative and strng r weak?
Unit Investigate Bivariate Data Standards Math Practices (MP) Prerequisite Skills Fcus Math Cncepts Cmmn Misunderstanding Critical Knwledge and Skills 8.SP.A.3 - Use the equatin f a linear mdel t slve prblems in the cntext f bivariate measurement data, interpreting the slpe and intercept. MP1 MP2 MP3 MP4 MP7 CRP CRP2 CRP4 CRP7 CRP8 CRP9 CRP11 CRP12 Previusly in this tpic: Learned t interpret and cnstruct scatter plts. Misunderstanding f the cncept f slpe. Misunderstanding f the cncept f rate f change. Misunderstanding f the cncept f y- intercept. Enduring Understanding: Make predictin by using the equatin f a line that clsely fits a set f data. Essential Questin: Hw can I use the slpe and y-intercept f a trend line t make a predictin? Hw can I make a predictin when n equatin is given by drawing trend lines and writing the equatin f the linear mdel?
Unit Investigate Bivariate Data Standards Math Practices (MP) Prerequisite Skills Fcus Math Cncepts Cmmn Misunderstanding Critical Knwledge and Skills 8.F.A.3 - Interpret the equatin y=mx+b as defining a linear functin, whse graph is a straight line; give examples f functins that are nt linear. MP1 MP2 MP3 MP4 MP7 CRP CRP2 CRP4 CRP7 CRP8 CRP9 CRP11 CRP12 Previusly in this tpic: Created and analyzed scatter plts displaying paired data. Learned t interpret and cnstruct scatter plts. Unable t understand what linear r nnlinear means. Nt creating a linear line that fits the data in the scatter plt. Misunderstanding f the cncept f slpe. Misunderstanding f the cncept f rate f change. Enduring Understanding: Use a line t represent the relatinship between paired data. Make predictin by using the equatin f a line that clsely fits a set f data. Essential Questin: Hw can I recgnize whether the paired data has a linear assciatin, a nnlinear assciatin, r n assciatin? Hw can I draw a trendline t determine whether a linear assciatin is psitive r negative and strng r weak? Hw can I use the slpe and y-intercept f a trend line t make a predictin? Hw can I make a predictin when n equatin is given by drawing trend lines and writing the equatin f the linear mdel?
Misunderstanding f the cncept f y- intercept. Unit Investigate Bivariate Data Standards Math Practices (MP) Prerequisite Skills Fcus Math Cncepts Cmmn Misunderstanding Critical Knwledge and Skills 8.F.B.4 - Cnstruct a functin t mdel a linear relatinship between tw quantities. Determine the rate f change and initial value f the functin frm a descriptin f a relatinship. MP1 MP2 MP3 MP4 MP7 CRP CRP2 CRP4 CRP7 CRP8 CRP9 CRP11 CRP12 Previusly in this tpic: Created and analyzed scatter plts displaying paired data. Learned t interpret and cnstruct scatter plts. Unable t understand what linear r nnlinear means. Nt creating a linear line that fits the data in the scatter plt. Misunderstanding f the cncept f slpe. Enduring Understanding: Use a line t represent the relatinship between paired data. Make predictin by using the equatin f a line that clsely fits a set f data. Essential Questin: Hw can I recgnize whether the paired data has a linear assciatin, a nnlinear assciatin, r n assciatin? Hw can I draw a trendline t determine whether a linear assciatin is psitive r negative and strng r weak?
Misunderstanding f the cncept f rate f change. Misunderstanding f the cncept f y- intercept. Hw can I use the slpe and y-intercept f a trend line t make a predictin? Hw can I make a predictin when n equatin is given by drawing trend lines and writing the equatin f the linear mdel? Unit Investigate Bivariate Data Standards Math Practices (MP) Prerequisite Skills Fcus Math Cncepts Cmmn Misunderstanding Critical Knwledge and Skills 8.SP.A.4 - Understand that patterns f assciatins can als be seen in bivariate categrical data by displaying frequencies and relative frequencies in a tw-way table. Cnstruct and interpret a tw-way table summarizing data n tw categrical variables cllected frm the MP1 MP2 MP3 MP4 MP7 CRP CRP2 CRP4 CRP7 CRP8 CRP9 CRP11 CRP12 same subjects. Use relative In Grade 6: Reprted the number f bservatins f data. Describe the type f bservatins f data. Misreading the twway tables. Trying t ttal all aspects f the table. Being able t answer questins based ff the infrmatin in the tw-way table. Enduring Understanding: Display and interpret relatinships between paired categrical data. Essential Questin: Hw can I rganize paired categrical data int a tw-way frequency table? Hw can I cmpare and make cnjectures abut data displayed in a tw-way frequency table?
frequencies calculated fr rws r clumns t describe a pssible assciatin between tw variables. Unit Investigate Bivariate Data District / Schl Frmative Assessment Plan Tpic 4 Readiness Assessment Used a pre-assessment t measure knwledge f the Tpic prir t anything being cvered r taught. This will set up the pacing guide fr the duratin f Tpic 4. District/Schl Summative Assessment Plan Tpic 4 Assessment Assessment will be cvering the cncept f creating a scatter plt frm a table, interpreting scatter plts, and tw-way frequency tables. Lessn Quizzes Used at the discretin f the teacher. Will be used after each lessn t ensure that cncepts and standards were cvered and students retained the infrmatin. Additinal supprt fr students will be prvided fr thse that still need additinal practice and examples f cncepts nt shwn with mastery. District / Schl Primary and Supplementary Resurces Primary Resurces Supplementary Resurces
envisins 2.0 Math XL Assignments Virtual Nerd Vides Additinal Examples / Supprt Online Assessments Fluency Practice Three (3) Act Math Perfrmance Task Assessment Scial Media Meme Psting: Students psted a Meme t their scial media accunts fr 24 hurs. We cllected the data fr each perid and then in turn, made a scatter plt. Next, students cmpared their class results t the ther classes fr 8th Grade Mathematics. Technlgy Aspect Ggle Prducts Ggle Classrm - Used fr daily interactins with the students cvering a vast majrity f different educatinal resurces (Daily Ntes, Exit Tickets, Classrm Plls, Quick Checks, Additinal Resurces/ Supprt, Hmewrk, etc.) GAFE (Ggle Apps Fr Educatin) - Using varius prgrams cnnected with Ggle t cllabrate within the district, c-teachers, grade level partner teacher, and with students t stay cnnected with the cntent that is cvered within the tpic. Used t cllect data in real time and see results upn cmpletin f the assignments t allw fr 21st century learning. Micrsft Excel This is a part f the technlgy piece here at WDMS. Students will create a spreadsheet cllecting data frm a prblem. Students will interpret the data and using Excel, cnvert the table t a Scatter Plt. Students then answer questins abut the data and Scatter Plt within the Excel dcument. All dcuments are saved t the Students X-Drive and H-Drive fr future use in high schl. Pearsn envisins 2.0 Online Assessment (Pre and Pst Assessments, Math XL, Tests, Quizzes, Interactive Vides and hmewrk helper, etc.)
Interactive Lessns and Lessns One t One Student's laptp All students within the West Deptfrd Schl District are given a cmputer, allwing fr 21st century learning t ccur within every lessn/tpic. Additinal Supprt Videes The vides belw are just examples f vides that can be used t supprt each f the Lessns within this Tpic. There are mre additinal vides prvided fr each and can be assigned frm the Pearsn envisins 2.0 nline textbk frm the teachers lgin. 4.1 - Cnstruct and Interpret Scatter Plts 4.2 - Analyze Linear Assciatins 4.3 - Use Linear Mdels t Make Predictins 4.4 - Interpret Tw-Way Frequency Tables 4.5 - Interpret Tw-Way Relative Frequency Tables Differentiated Instructin Gifted Students (N.J.A.C.6A:8-3.1) Within each lessn, the Gift Students are t be given the Enrichment Questins. These questins are t push the knwledge f each prtin f the lessn. Refer t the bttm f yur Teacher Editin t see this prtin f the lessn. Perfrmance Task Additinal practice was prvided fr students that was a higher level f thinking fr the cncepts. English Language Learners (N.J.A.C.6A:15) Within each lessn, the English Language Learners are given three levels f questining. Each level is accmmdating t the level f learning that the
individual student(s) is learning at. Beginning Intermediate Advanced All assignments have been created in the student s native language. Wrk with ELL Teacher t allw fr all assignments t be cmpleted with extra time. Risk Students (N.J.A.C.6A:8-4.3c) Within each lessn, the Respnse t Interventin sectin is fr the at risk students. Within these sectins f the Teacher Editin, cmmn mistakes are brught up and interventin plans are prvided. Refer t the bttm f yur Teacher Editin t see these examples. Additinal Lessn Supprt Certain assignments nline prvide the prerequisites that are required t master the cncept in 8th grade. Assignments range frm nline vides, Math XL Hmewrk assignments Prvide scafflded supprt Math Extensins Pearsn envisins - Additinal Practice Special Educatin Students (N.J.A.C.6A:8-3.1) Interdisciplinary Cnnectins**** Math Science ELA
Fine Arts/ Perfrming Arts Wrld Language Technlgy Careers Glbal Awareness Other