ࡱ>  ?bjbjVV >j<<t~~MiMiMiaiaiai8i$iai[4jjjjj]]]1Mi]Y]]]jjj͒͒͒]j6jMij͒]͒͒rpOT^jp^J]aiǀz+0[ߺOߺ^ߺMi^ ]]͒]]]]] ]]][]]]]ߺ]]]]]]]]]~ : This Fruit Is a Mass! Reporting Category Measurement Topic Estimating and measuring weight/mass Primary SOL 4.6 The student will a) estimate and measure weight/mass and describe the results in U.S. Customary and metric units as appropriate; and b) identify equivalent measurements between units within the U.S. Customary system (ounces, pounds, and tons) and between units within the metric system (grams and kilograms). Materials A variety of fruits, including, if possible, bananas, apples, oranges, pears, kiwis, grapes, cantaloupes, and plums Balances and gram weights for each team of two students This Fruit Is a Mass! Recording Sheet (attached) Vocabulary weight, mass, estimate, metric measurement system, U.S. Customary system, grams, kilogram, ounce, pound Student/Teacher Actions (what students and teachers should be doing to facilitate learning) Note: This is not an introductory lesson to U.S. Customary and metric measurement. It is intended to be a culminating activity. Present the following word problem to the class: John loves fruit. Everybody in fourth grade knows that fruit is his favorite food. He eats fruit all the time. Anyone who brings fruit in a lunchbox always gives the fruit to John, and he is always grateful! John has been sick and out of school for several days. His classmates want to do something nice for him, so they are going to prepare a nice basket of mixed fruit to take to him. How can they prepare a basket of fruit that weighs exactly 5 kilograms? Display a collection of different fruits. Have the class estimate how much fruit will weigh about 5 kilograms. Allow the class to weigh one apple and discuss the relative sizes of an apple, banana, plum, and other pieces of fruit to help them make a reasoned estimate. Divide the class into pairs to facilitate weighing fruit and recording weights. Give each pair a This Fruit Is a Mass! Recording Sheet. Remind students that 1 kilogram equals 1,000 grams. Have each pair weigh each piece of fruit, using a balance and gram weights, record the weights, and then decide on the number of pieces of each kind of fruit that will go into the basket for John so that the fruit weighs exactly 5 kg. Encourage students to try to please John in their combinations of fruit for the basket. Note that a grape weighs approximately 1 gram, but that John would certainly prefer not to receive a basket containing 5,000 grapes. Have the class compare their conclusions about the various amounts of fruits. Ask how many fruit combinations can be made. Have students repeat this activity, using ounce weights and aiming to make a basket of fruit that weighs exactly 10 pounds. Remind students that 1 pound equals 16 ounces. Assessment Questions If we know that a kilogram equals 1,000 grams, then how many grams will our 5 kg basket of fruit weigh? Did any piece of fruit weigh as much as 1 kilogram? If so, which one(s)? Did any piece weigh as much as 1/2 kilogram? If so, which one(s)? Journal/Writing Prompts Write a letter to John explaining how you chose the fruit for his basket. Explain which unit of measure, metric or U.S. Customary, you prefer to use and why. Explain the difference between weight and mass. Other Observe students as they weigh the fruits. Watch for accurate use of weights, careful recording of weights, and adding weights to make a total of 5 kilograms or 10 pounds. Look for creative combinations of fruits to reach the desired weight. Note discussions and conversations, listening for appropriate mathematical vocabulary and noting correct use of balances and weights. Extensions and Connections (for all students) Discuss whether all pieces of fruit of the same kind weigh the same. Have students estimate the weight of each piece of the same kind of fruit, record the estimates, and compare the estimated weights with the actual weights. Have students create fruit baskets and cards to donate to local community organizations. Strategies for Differentiation Have students use a scale that reads in metric and U.S. Customary units instead of a balance. This Fruit Is a Mass! 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TH /@@HkILso they are going to prepare a nice basket of mixed fruit to take to him&" WMFC $ .'5"42-0#1/55."45"240#205*250'-2"5P+15"5!!5"0-2!55PTT /@@kLP T /@@k LdHow can they>4G*05!52-TT /@@kLP !"  TH8/@@HLprepare a basket of fruit 5#25/#2/50'-2!5"5!T9 /@@9!Lthat weighs exactly 5 kilograms? "5/"G2/5'2+0*"-2-5/#0P'.*TT  /@@ LP ;!"  % % % TX/@@yLP2.3% % % TTG/@@yLP J% % % TH/@@HyL|Display a collection of >'50-/*52*"455TP/@@y L`different 52#15"TlQ/@@QyLXfruit"5"TT & /@@ yLPs'TX' V /@@' yLP. TxW \/@@W y2LHave the class estimate how much fruit will weigh >0-2"42*0''2'"P/"255GP5)5#5!GG2/5!"  TlH7 /@@HLXabout0554"TT8N /@@8LP TlO /@@O0L5 kilograms. Allow the class to weigh one apple 2-5/#0P':5G"42*0''!5G2/4542/551T, g /@@ %Land discuss the relative sizes of an 0455')5''!52"2/"-2''2'4/5!"  TH/@@HmLlapple, banana, 05525/5050T /@@mLplum, and other pieces of fruit55P/454"52"52*2'4#5"TT  /@@ mLP Tl t /@@ mLXto he!552Tu  /@@u mLhlp them make a4!52PO0-20TT /@@ mLP T|{/@@mL\reasoned"20'4524TT|/@@|mLP T/@@m L`estimate.2'"P/"2TTJ/@@mLP ;!"  % % % TX/@@LP3.3% % % TTG/@@LP J% % % TH/@@HLxDivide the class into >-52"42*0''5"4Td(/@@LTpair50"TX)f/@@)LPs 'Tg /@@gL|to facilitate weighing "50*"/"1G2/55.Tp  /@@ LXfruit "5"T  /@@  Lhand recording/54#2*5"55.TT  /@@ LP Tx /@@ L\weightsG2/5!'TXN/@@LP. TO/@@OLlGive each pair ?-220*550#!"  % % % TXH/@@HzLPa 0Rp @"Calibri`"%D#W`2%",$%U`2%" q.1"% 0-220*5Td,/@@,L&" WMFC  Tpair50"TT/@@LP T /@@Lweigh each piece of fruitG2/520)552*24#5"TT  /@@ LP,TT  /@@ LP Tp  /@@ LXusing 5'5/TT  /@@ LPa/TT - /@@ LP T|.  /@@. L\balance 50/5*2T T/@@ Lland gram weights/54/#/PG2/5"'TU/@@U L`, record #2*5#4!"  TH#/@@Hn Ldthe weights"51G2/5"'T$/@@$n Ld, and then 045!515T/@@nGLdecide on the number of pieces of each kind of fruit that will go into 41*5245!5154P52"452*2'520*5-555"5!"5/"G/44"5!"  TH /@@H Ldthe basket "5150'-2!T` /@@ LTfor4#TT/@@LP TT9 /@@,LJohn so that the fruit weighs exactly 5 kg. 454'5"40"!51"5!G2/5'2+0*"-3-/T: /@@: LEncourage students to try to 15*54#0/2&"4524"'!5!#-"4!"  THG |/@@Hb;Lplease John in their combinations of fruit for the basket. 520'25455!52"*5O55/"55&5"5!4#"5150'-2"TH Z|/@@H bLNote that a grape weighs @5"1!50!0/#/42G2/5'!"  % % % TXH}/@@HLPap05T}/@@Lpproximately 1 gram5#5+P/"2-3/#0PTX}/@@LP, T}S/@@ L`but that 45""5/"TT}# /@@T L`John would545G555TT$ }: /@@$ LP T; } /@@;  L`certainly*2""05-TT } /@@ LP Tl } /@@ LXprefe5#12TX } /@@ LPr "% % % T` }L /@@ LTnot33"% % % TTL }b /@@L LP Tc }t/@@c Ltto receive a basket !5#2*2-1050'-2!!"  TH<p/@@HV Ldcontaining 5*55"055/3T=+p/@@=V Ld,000 grapes.323/#/52'TT,fp/@@,VLP ;!"  % % % TX/@@LP4.3% % % TTG/@@LP J% % % ThH /@@H/LHave the class compare their conclusions about >0-2"51*0''*5P5/#2!52#*45*5'45'0454"T A/@@ "Lthe various amounts of fruits. Ask!52-0#45'0O545"'5"5"':'-TTBX/@@BLP TTY/@@YLPh4T`/@@LTow 5G!"  TlH@}/@@HcLXmany P05-TAe }/@@AcLfruit combinations can be made."5!*5P550"55'*0551P042TTf  }/@@f cLP ;!" % % 6666666666666666666666666&.WMFC  66666666666 6 66 6  6 66 6  6 66 6  6 66 6  6 66 6 66666666666666666666  ^`."System--@"Calibri--- @"Calibri-@"Calibri- @"Calibri-- G2 6[(^^Mathematics Enhanced Scope and Sequence   2 6\^^ 2 6c^^ 2 6f^^Grade 4  2 6^^ @"Calibri--- @"Calibri-@"Calibri--2 '[^^Virginia 2 '^^ 2 '^^Departme ,2 '^^nt of Education 2011  2 'J^^ ð 2 '^^1 2 '^^ ,^^'@Cambria--- 33+2 y[^^This Fruit Is a Mass!1    2 yd^^  ,^^33- @ !Y-'@"Calibri---@"Calibri------&2 [^^Reporting Category     --- 2 ^^ 2 ^^Measurement   2 T^^ ,^^'---2 [^^Topict  2 ^^ r---A2 $^^Estimating and measuring weight/mass         2 ^^ ,^^'---2 [ ^^Primary SOL    2 ^^ B---2 ^^4.6  2 ^^ #2 ^^The student will    2 ^^ ,^^'2 ^^a) 2 -^^ g2 9=^^estimate and measure weight/mass and describe the results in              P2 9.^^U.S. Customary and metric units as appropriate        2 ~^^; andt 2 ^^ 2  ^^b)  2 .^^ 2 9^^identify   2 n^^ \2 q6^^equivalent measurements between units within the U.S.              h2 19>^^Customary system (ounces, pounds, and tons) and between units             R2 F9/^^within the metric system (grams and kilograms).         2 F^^ --- 2 l[^^M2 lj^^aterials  2 l^^ @Symbol--- 2 u^^@"Arial--- 2 |^^ @"Calibri- - - 82 ^^A variety of fruits, including        2 K^^, 2 O^^ U2 S1^^if possible, bananas, apples, oranges, pears, kiwU              2  ^^is, grapes,  ,2 ^^cantaloupes, and plums      2 1^^ --- 2 u^^--- 2 |^^ - - - ^2 7^^Balances and gram weights for each team of two students                 2 ^^ --- 2 u^^--- 2 |^^ - - - S2 0^^This Fruit Is a Mass! Recording Sheet (attached)           2 ^^ ---2 [ ^^Vocabulary   2 ^^ @"Calibri- - -  2 u^^w 2 Y^^eight, mass, estimate, metric measurement system, U.S. Customary system, grams, kilogram,               2 ^^ 2 u ^^ounce, pound   2 ^^ --- 2 3[^^S2 3cZ^^tudent/Teacher Actions (what students and teachers should be doing to facilitate learning)                      2 3^^ ---2 H[b^^Note: This is not an introductory lesson to U.S. Customary and metric measurement. It is intended                     72 \[^^to be a culminating activity.g       2 \^^ @"Arial- - - - - - 2 uu^^1.- - - 2 u^^ - - - C2 u%^^Present the following word problem toc           2 u^^ 2 u ^^the class:   %2 u^^John loves fruit.     2 uT^^ )2 uX^^Everybody in fourth      ,^^'22 ^^grade knows that fruit is     2 9^^his  2 L^^ g2 P=^^favorite food. He eats fruit all the time. Anyone who brings            ,^^'2  ^^fruit in    2 ^^a 2 ^^ F2 '^^lunchbox always gives the fruit to John         2 ^^, and he  2  ^^ 12 ^^is always grateful! John     2  ^^has been    ,^^'2  ^^sick and  2  ^^out of schoo   )2 ^^l for several days.     2 ^^His  2 ^^ P2 .^^classmates want to do something nice for him,            ,^^'y2 I^^so they are going to prepare a nice basket of mixed fruit to take to him.                2 w^^ 2 { ^^How can they     2 ^^ ,^^'22 ^^prepare a basket of fruit       =2 8!^^that weighs exactly 5 kilograms?o        2 ^^ ,^^'- - - 2 u^^2.- - - 2 ^^ - - - /2 ^^Display a collection of     2 ( ^^different  2 h^^fruit   2 ^^s2 ^^. V2 2^^Have the class estimate how much fruit will weigh             ,^^'2 ^^about   2 ^^ S2 0^^5 kilograms. Allow the class to weigh one apple          C2 %^^and discuss the relative sizes of an h       ,^^'"2 ^^apple, banana,     :2 ^^plum, and other pieces of fruit          2 ^^ 2 ^^to he  2 ^^lp them make a   2 Z^^ 2 ^^^reasoned  2 ^^ 2  ^^estimate. 2 ^^ ,^^'- - - 2 8u^^3.- - - 2 8^^ - - - ,2 8^^Divide the class into     2 8^^pair 2 86^^s .2 8@^^to facilitate weighing     2 8^^fruit  2 8 ^^and recording     2 8U^^ 2 8Y^^weightsd  2 8^^. "2 8^^Give each pair    ,^^'- - - 2 M^^a @"Calibri- - - C2 M%^^This Fruit Is a Mass! Recording Sheet     - - - R2 M/^^. Remind students that 1 kilogram equals 1,000           ,^^'2 a^^grams. d 2 a ^^Have each   2 a ^^pair  2 a&^^ 12 a*^^weigh each piece of fruit       2 a^^, 2 a^^ 2 a^^using   2 a^^a 2 a ^^ 2 a^^balance  #2 aH^^and gram weights    2 a ^^, record w   ,^^'2 v ^^the weightsi   2 v ^^, and then i   v2 v(G^^decide on the number of pieces of each kind of fruit that will go into                  ,^^'2  ^^the basket i   2 ^^for  2 ^^ M2 ,^^John so that the fruit weighs exactly 5 kg.        72 ^^Encourage students to try to      ,^^'d2 ;^^please John in their combinations of fruit for the basket.            12 ^^Note that a grape weighs     ,^^'- - - 2 ^^ap &2 ^^proximately 1 gram   2 %^^, 2 - ^^but that  2 h ^^John would   2 ^^ 2  ^^certainly  2 ^^ 2 ^^prefec  2 ^^r - - - 2 (^^not - - - 2 ?^^ )2 C^^to receive a basket     ,^^'2  ^^containing 5   2  ^^,000 grapes.   2 6^^ ,^^'- - - 2 u^^4.- - - 2 ^^ - - - R2 /^^Have the class compare their conclusions about        >2 "^^the various amounts of fruits. Ask       2 ^^  2 ^^h 2 ^^ow  ,^^'2 ^^many c :2 ^^fruit combinations can be made.         2 ^^ ,^^'--^^^^^^^^^^]]]]]]]]]]]]]]]]]]]]]]]]\\\\\\\\\\\\\\\\\\\\\\\\[[[[[[[[[[[[[[[[[[՜.+,0P hp  (Virginia IT Infrastructure Partnership 'Multiplying and Trading (Lesson Title) Materials VocabularyQStudent/Teacher Actions (what students and teachers should be doing to facilitat Assessment.Extensions and Connections (for all students)Strategies for Differentiation* This Fruit Is a Mass! Recording Sheet Title Headings  !"#$%&'()*+,-./012345789:;<=?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~     Root Entry F Xi]Data 61Table>WordDocument>jSummaryInformation(DocumentSummaryInformation8CompObjy  F'Microsoft Office Word 97-2003 Document MSWordDocWord.Document.89q