ࡱ> tvs ]&bjbjWW .==]&&&&&::::\:_$p#######$u&')p#&#&&#2)))&&#)#))V*!J"p9Cw! ##$<_$!x)))J"J")&^"D)##)_$) :  Unit OverviewContent Area: MathUnit Title: Percent Unit: 6Target Course/Grade Level: Seventh Grade Timeline: 3 weeksUnit Summary: This unit focuses on problem solving with percents. Students learn to apply percent proportions, percent equations, and percent estimation skills to real-world problems. Using decimal and fraction equivalents for percents, students solve problems involving percent of change, sales tax, tip, discount, and simple interest. Students will use the reasoning skills they learn to make decisions in the real world about products and services they intend to purchase.Primary interdisciplinary connections: Language Arts and Technology9.1 21st-Centuries Life & Career Skills Standard 9.1 All students will demonstrate the creative, critical thinking, collaboration, and problem-solving skills needed to function successfully as both global citizens and workers in diverse ethnic and organizational cultures. Strand: A. Critical Thinking and Problem Solving B. Creativity and Innovation C. Collaboration, Teamwork and Leadership Content Statement: 9.1.8: A The ability to recognize a problem and apply critical thinking skills and problem solving skills to solve the problem is a lifelong skill that develops over time. 9.1.8: B Gathering and Evaluating knowledge and information from a variety of sources, including global perspective, fosters creativity and innovative thinking. 9.1.8: C Collaboration and team work enable individuals or groups to achieve common goals with greater efficiency. Leadership abilities develop over time through participation in group and or teams that that are engaged in challenging or competitive activities. 21st Century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and Leadership, Creativity and InnovationMathematical Practices: 7.MP.1 Make sense of problems and persevere in solving them. 7.MP.2 Reason abstractly and quantitatively. 7.MP.3 Construct viable arguments and critique the reasoning of others. 7.MP.4 Model with mathematics. 7.MP.5 Use appropriate tools strategically. 7.MP.6 Attend to precision. 7.MP.7 Look for and make use of structure. 7.MP.8 Look for and express regularity in repeated reasoning.Learning TargetsDomain: Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problemsStandard # Standards7.RP.2cRepresent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. 7.RP.3Use proportional relationships to solve multistep ratio and percent problems. Examples : simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.7.EE.3Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)9.1.8.A.1Develop strategies to reinforce positive attitudes and productive behaviors that impact critical thinking and problem-solving skills.9.1.8.A.2Implement problem-solving strategies to solve a problem in school or the community.9.1.8.B.2Assess data gathered to solve problems for which there are varying perspective (e.g., cross cultural, gender specific, generational, etc.) and determine how the data can best be used to design the multiple solutions.9.1.8.C.1Determine an individuals responsibility for personal actions and contributions to group activities.9.1.8.C.2Demonstrate the use of compromise, consensus and community building strategies for carrying out different task, assignments and projects.9.1.8.C.3Model leadership skills during classroom and extracurricular activities.Unit Essential Questions What are percents and how are they used in everyday life? How can equivalent fractions be helpful in estimating percents? How can percent equations be applied to real-world problems? How is calculating sales tax similar to calculating tips? How are percents related to proportional relationships?Unit Enduring Understandings A percent is a ratio that compares a number to 100. In a percent proportion, one ratio represents a part to a whole comparison and the equivalent ratio part 100, represents the percent. A percent of change is a ratio that compares the change in quantity to the original amount.Unit Learning Targets Students will ... Find the percent of a number. Estimate the percents by using fractions and decimals. Solve problems using the percent proportion and the percent equation. Find the percent of increase or decrease. Solve problems involving sales tax, tips, discount and simple interest.Evidence of LearningSummative Assessment Find the percent of a number. Solve problems using the percent proportion and percent equation. Solve percent problems finding percent of change, sales tax, tips, amount and percent of discount, and simple interest.Equipment needed: grid paper, counters, number cubes, restaurant menus, bank brochures, Smart Board, white boards, calculators, ElmoTeacher Instructional Resources: Textbook (TBD) Study Island Khan Academy VideosFormative AssessmentsSkill sheets Quizzes/Tests Student workbookHomework Math games Study IslandIntegration of Technology: Smart Board to play online games, utilize online resources, generate models with Smart Software. Kahn Academy Videos Elmo for demonstration Study Island Technology Resources:  HYPERLINK "http://www.purplemath.com" http://www.purplemath.com  HYPERLINK "http://www.khanacademy.org" http://www.khanacademy.org Interactive 2.0 instructional and practice site. Students can view instructional videos and complete practice modules for additional practice/remediation.  HYPERLINK "http://www.studyisland.com/" http://www.studyisland.com/ - Web-based instruction, practice, assessment and reporting built from NJ standards.  HYPERLINK "http://www.ixl.com/math/grade-7" http://www.ixl.com/math/grade-7 - IXL 7th grade online interactive activities for the students to complete  HYPERLINK "http://www.aaamath.com/grade7.html" http://www.aaamath.com/grade7.html - AAA math 7th grade online interactive activities and problems for the student to complete.  HYPERLINK "http://www.adaptedmind.com/Math-Worksheets.html?type=hstb" http://www.adaptedmind.com/Math-Worksheets.html?type=hstb Grade level material for practice, lessons, games, etc. Opportunities for Differentiation: Decelerate: Students create samples of the three types of percent problems. Exchange and solve them . Using restaurant menus, students order a meal and calculate the bill, including the tax and tip. Have the students calculate the bill with different percentages for sales tax and tip. Accelerated: Students will estimate the percent of a circle that is shaded. Then work to develop a method to check the accuracy of their estimate; ie using a protractor and the total degrees in a circle.Teacher Notes:  #0123:JKjm˼ypyg^UIy@hf5CJaJh=h=5CJaJhx 5CJaJhc .5CJaJhk_5CJaJhr5CJaJh5CJaJhrCJaJh_qn5CJaJhyi5CJaJhD !5CJaJh eh eCJaJh!hR`5CJaJhThR`5B*aJph$hThR`5B*OJQJaJphhR`5B*OJQJaJphh;$hR`CJh [hR`5$sf (($Ifgdqwkd$$IflF%%  t 6_0%644 lap 6_$(($Ifa$gd gdR`$%{ (($Ifgd\ wkd$$IflF%%  t 0%644 lap         ռxlcWOF<h_h%o75CJhdhR`CJhrCJaJhdhR`5CJaJh\ 5CJaJhnlhR`5CJaJh ehR`CJaJhjA5CJaJh+Ws5CJaJh e5CJaJh=h 5CJaJh*5CJaJh\ 5CJaJh 5CJaJh*CJaJhfCJaJh eh CJaJhR`5CJaJh!hR`5CJaJhhR`CJaJ { (($Ifgd+Wswkd&$$IflF%%  t 0%644 lap   { (($Ifgdqwkd$$IflF%%  t 0%644 lap  / { (($Ifgd>?wkdh$$IflF%%  t 0%644 lap    . / 0 X f A B    "#%'CȽ|t|tfZQh.5CJaJh [h%o75CJaJhW"h%o75CJH*aJha;CJaJh8CJaJh%o7CJaJh 4(h%o7CJaJh%o75CJaJh%o75B*phh%o7B*phhSh%o7B*phh%o75B*\phhSh%o75B*\phhdh%o7CJhnlh%o75CJaJ h%o7CJ h9JCJhSh%o7CJ/ 0 Y B s X 7{{{{{{{{n{{ (($Ifgda; (($Ifgd>?wkd$$IflF%%  t 0%644 lap N#:hnaaaaa (($Ifgd.wkd$$IflF%%  t 0%644 lap (($Ifgda; (($Ifgd>? :;hiGH123ȹیvk`ThnlhR`CJ]^JhN5CJ]^Jhc .5CJ]^Jh*5CJ]^Jh\ 5CJ]^JhemhR`5CJ]^JhgrhR`5CJ hN5CJ h*5CJ h\ 5CJhThR`5B*aJph$hThR`5B*OJQJaJphhdhR`CJhdhk_CJh&zh.CJaJhCJaJ G{o $$Ifa$gdqwkdY$$IflF%%  t 0%644 lap (($Ifgd.{ (($Ifgd\ wkd$$IflF%%  t 6_0%644 lap 6_2{ (($Ifgd\ wkd$$IflF%%  t 0%644 lap 23>Iv $Ifgd\ $Ifgdqwkd$$IflF%%  t 0%644 lap 3<=?HIJQR/@GHIJPQ&'(.ϻxlxaSxhjghR`6CJ]^Jhjg6CJ]^Jh^ohR`CJ]^JhjgCJ]^JhdhCJhh6CJ]^Jha+56CJ]^Jha+6CJ]^Jh56CJ]^Jh6CJ]^JhCJ]^JhCJ]^JhdhR`CJhdhR`5CJaJhR`5CJaJh\ 5CJaJIJRIj]] (($Ifgdqkd$$Ifl0F%2  t0%644 lapIJQ'j]] (($Ifgdqkd\$$Ifl0F%2  t0%644 lap'(/j]] (($Ifgdqkd$$Ifl0F%2  t0%644 lap./q:;#$=vw.ef<=ɽznbYhPsJhbCJhPsJha;5CJaJha;ha;5CJaJha;h-5CJaJha;CJaJh-hb5CJaJh#h#CJaJh,CJaJhbCJaJh#CJaJhPsJhb5CJaJhdhbCJhbCJ]^Jhdhk_CJh-`CJ]^JhjgCJ]^Jhk_CJ]^J!j]] (($Ifgd>?kd$$Ifl0F%2  t0%644 lapj]] (($Ifgd>?kd $$Ifl0F%2  t0%644 lapj]] (($Ifgd>?kd8 $$Ifl0F%2  t0%644 lap:j]] (($Ifgd>?kd $$Ifl0F%2  t0%644 lap:;Ej]] (($Ifgd>?kd $$Ifl0F%2  t0%644 lap#j]] (($Ifgd>?kd] $$Ifl0F%2  t0%644 lap#$=w.fj]LLLLL & F(($Ifgd# (($Ifgdqkd $$Ifl0F%2  t0%644 lapf=LCC $Ifgdqkd $$Ifl0F%}5  t0%644 lap & F(($Ifgda; (($Ifgd--Z[\r|~Ɇ}tmgatmWmgQ hiQCJhhb5CJ hiCJ h(W}CJ hb5CJhhbCJhhbCJ h,CJhhb6CJaJhhb5CJaJ$h hb5B*OJQJaJphhdhbCJhcohkuPCJ hbCJ hkuPCJhB[hb6CJaJhb6CJaJh^ohb5CJaJhb5CJaJ]wk $$Ifa$gdqwkd$$IflF%%  t 0%644 lap  & F(($Ifgdco\veeT & F(($Ifgdq & F(($Ifgd, (($Ifgdq|kd$$IflF%%  t 6_0%644 lag&p 6_[v (($Ifgdq|kd$$IflF%%  t 0%644 lag&p [\$vvv (($IfgdiQ|kdk$$IflF%%  t 0%644 lag&p #$%:<HIOPVWgh 5 6 C D E [ ¼vja[R[jFjhdhb5CJaJh-hl,CJ hl,CJh=hbCJh=hb5CJaJ$h hb5B*OJQJaJphhhho(bhlCJhcNho(bhlCJh^oho(bhlCJ h.gCJh^oho(bCJ ho(bCJhhhbhl5CJhhhb5CJhhbCJhhb5CJaJhiQCJaJhiQ5CJaJ$%;v (($Ifgdq|kd$$IflF%%  t 0%644 lag&p ;<IWhq|eeeeee & F hE(($If^`Egd>?|kd$$IflF%%  t 0%644 lag&p eY $$Ifa$gdqkd$$Ifl0F%%  t0%644 lag&p  6 C D veeTCv & F(($Ifgdl, & F(($Ifgd- & F(($Ifgd.g (($Ifgdq|kds$$IflF%%  t 6_0%644 lag&p 6_D E [ !!""#"""u#viiiii`iii $Ifgdl, (($Ifgdl, (($Ifgdq|kd$$IflF%%  t 0%644 lag&p [ \ h v !!!!!!!!"" "!"""#"$"0"N"ǨǑvvpd]Sh-h-5CJ h-5CJjh-5CJU hl,CJhl,B*CJaJph# hhl,B*CJaJph# hhl,CJaJhhl,5CJaJ jhhl,5CJUaJh hl,0J5CJaJhl,CJaJh2hl,0J5CJaJhl,hl,5CJaJhl,5CJaJjhl,5CJUaJ N"Q"R"q"r"s"{"""""""##"#u#v#w######3$4$5$6$7$Y$[$h$$ĵďznb[U h~UDCJ h`65CJh=hb5CJaJhdhb5CJaJh=h5CJaJhb5CJaJh=hbCJ h>?5CJh>?h>?0J5CJh>?h>?5CJjh>?h>?5CJU h>?CJh-h-5CJ hl,CJ h-CJh0nh-0J5CJjh-5CJU h-5CJ u#v#4$5$6$7$[$PC (($Ifgd%~kd$$IflRF%%  t 0%644 lag&p $IfgdqoUs& $Ifgdq (($Ifgd (($Ifgdl,[$$z%{%J&K&Z&[&tgg (($Ifgd%~kdN$$IflRF%%  t 0%644 lag&p (($Ifgdq$$y%z%{%%%I&J&K&Z&[&\&]&hR`hx hbCJaJhb5CJaJhdhb5CJaJh`6h`6CJaJ h~UDCJ h`65CJ h`6CJh~UDhCJ hCJ hbCJ [&\&]&~kd$$IflRF%%  t 0%644 lag&p ,1h/ =!"#$% $$If!vh#v%:V l  t 6_0%65%p 6_$$If!vh#v%:V l  t 0%65%p $$If!vh#v%:V l  t 0%65%/ p $$If!vh#v%:V l  t 0%65%/ p $$If!vh#v%:V l  t 0%65%/ / p $$If!vh#v%:V l  t 0%65%/ p $$If!vh#v%:V l  t 0%65%/ p $$If!vh#v%:V l  t 0%65%p $$If!vh#v%:V l  t 6_0%65%p 6_$$If!vh#v%:V l  t 0%65%p $$If!vh#v%:V l  t 0%65%p $$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v#v2 :V l  t0%6552 p$$If!vh#v}#v5:V l  t0%65}55p$$If!vh#v%:V l  t 0%65%p $$If!vh#v%:V l  t 6_0%65%/ g&p 6_$$If!vh#v%:V l  t 0%65%/ g&p $$If!vh#v%:V l  t 0%65%/ g&p $$If!vh#v%:V l  t 0%65%/ / g&p $$If!vh#v%:V l  t 0%65%/ / g&p $$If!vh#v%#v:V l  t0%65%5/ / / g&p$$If!vh#v%:V l  t 6_0%65%g&p 6_$$If!vh#v%:V l  t 0%65%g&p $$If!vh#v%:V lR  t 0%65%g&p $$If!vh#v%:V lR  t 0%65%g&p $$If!vh#v%:V lR  t 0%65%/ g&p j 666666666vvvvvvvvv666666>6666666666666666666666666666666666666666666666666hH6666666666666666666666666666666666666666666666666666666666666666662 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~ OJPJQJ_HmH nH sH tH L`L R`Normal$CJOJPJQJ_HaJmH sH tH DA D Default Paragraph FontRi@R 0 Table Normal4 l4a (k ( 0No List 6U`6 l,0 Hyperlink >*B*phPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭V$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! I_TS 1?E??ZBΪmU/?~xY'y5g&΋/ɋ>GMGeD3Vq%'#q$8K)fw9:ĵ x}rxwr:\TZaG*y8IjbRc|XŻǿI u3KGnD1NIBs RuK>V.EL+M2#'fi ~V vl{u8zH *:(W☕ ~JTe\O*tHGHY}KNP*ݾ˦TѼ9/#A7qZ$*c?qUnwN%Oi4 =3N)cbJ uV4(Tn 7_?m-ٛ{UBwznʜ"Z xJZp; {/<P;,)''KQk5qpN8KGbe Sd̛\17 pa>SR! 3K4'+rzQ TTIIvt]Kc⫲K#v5+|D~O@%\w_nN[L9KqgVhn R!y+Un;*&/HrT >>\ t=.Tġ S; Z~!P9giCڧ!# B,;X=ۻ,I2UWV9$lk=Aj;{AP79|s*Y;̠[MCۿhf]o{oY=1kyVV5E8Vk+֜\80X4D)!!?*|fv u"xA@T_q64)kڬuV7 t '%;i9s9x,ڎ-45xd8?ǘd/Y|t &LILJ`& -Gt/PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!0C)theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] ] 3.[ N"$]&#'05;<?$ / 2II':#f[$;D u#[$[&]& !"$%&()*+,-./12346789:=>@[#Qqv]XXXXXX8@0(  B S  ?!D F [#rt} _|[d59 : @ h n   ! G M _33333333333333"": ; h i   G H [#r334577KKZZ\_"": ; h i   G H [#r334577KKZZ\_d 0\0ex@&L^`LOJQJo(hH^`OJQJo(hHop^p`OJQJo(hH@ ^@ `OJQJo(hH^`OJQJo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJo(hHoP^P`OJQJo(hHhhh^h`OJQJo(hHh88^8`OJQJ^Jo(hHoh^`OJQJo(hHh  ^ `OJQJo(hHh  ^ `OJQJ^Jo(hHohxx^x`OJQJo(hHhHH^H`OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHL^`LOJQJo(hH^`OJQJo(hHop^p`OJQJo(hH@ ^@ `OJQJo(hH^`OJQJo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJo(hHoP^P`OJQJo(hH0d x@d ت31v $d                 v $d        ,CkKJ/irn m Wt x \ *.gjg,D !a+ t+l,'-c .`6%o78a;jADV1D~UDFEcbEIkuPiQ [k_o(bjdf%hmi_qnq+Ws(W}-N,Eyiy l OZ>?co^=O.99JJ1+ eR`-`*@Gf%_ $#b]_@]@Unknown Marie CollinsG*Ax Times New Roman5Symbol3. *Cx Arial7.@CalibriiFunction-ObliqueTimes New Roman?= *Cx Courier New;WingdingsA$BCambria Math"1hzGzG:f7724NN3qHX $PR`2!xx  Unit OverviewlbaxterPatti Mauriello   Oh+'0T     (4<DLUnit OverviewlbaxterNormalPatti Mauriello2Microsoft Office Word@@z@`4@`4՜.+,D՜.+,P  hp  Tewskbury Township Schools7N Unit Overview Title( 8@ _PID_HLINKSA$^L:http://www.adaptedmind.com/Math-Worksheets.html?type=hstbby #http://www.aaamath.com/grade7.html,-  http://www.ixl.com/math/grade-7j,http://www.studyisland.com/`5http://www.khanacademy.org/72http://www.purplemath.com/  !"#$%&'()*+,-./0123456789:;<=>?@ACDEFGHIJKLMOPQRSTUVWXYZ[\]^_`abdefghijlmnopqruRoot Entry F@LDwData B1TableN)WordDocument.SummaryInformation(cDocumentSummaryInformation8kCompObjr  F Microsoft Word 97-2003 Document MSWordDocWord.Document.89q