ESH 250 Lecture Notes - Lecture 4: Centimetre, Kilogram, Cubic Metre

31 views5 pages
!"#$%&'(
)))*%"+,& "-.#/0.123456.78#9-":.44.1;"<"/,9%&'.#.("&(".,=.+"#(>:"+"&-.#&$.
'",+"-:?6.#&$.78#9-":.4@ 1A"#(>:"+"&-.B,&B"9-(.#&$.(-:#-"'%"(6
C
Introduction
D,>.(8,>/$.8#<".#B8%"<"$.-8".=,//,E%&'./"#:&%&'.,>-B,+"(F
)))#&.>&$":(-#&$%&'.,=.-8".B,&B"9->#/.=,>&$#-%,&(.#((,B%#-"$.E%-8.-8".
9:,B"((.,=.+"#(>:"+"&-
)))>&$":(-#&$.#&$.%$"&-%=?.-8"./"#:&%&'.("G>"&B".=,:.+"#(>:"+"&-
)))H".#H/".-,.#:-%B>/#-".-8".9:%&B%9/"(.,=.+"#(>:"+"&-
)))%&<"(-%'#-".#99:,#B8"(.-,.$"<"/,9.#&.>&$":(-#&$%&'.,=.$%==":"&-.
+"#(>:"+"&-.B,&B"9-(.E%-8.#.9#:-%B>/#:.=,B>(.,&./"&'-8
C
Measurement
)))A"#(>:"+"&-.%&<,/<"(.-8".B,+9#:%(,&.,=.(,+".#--:%H>-".,=.-8".-8%&'.H"%&'.
+"#(>:"$.E%-8.#.G>#&-%-?.,=.-8#-.#--:%H>-".B8,("&.#(.-8".>&%-I.%&.,:$":.-,.
9:,<%$".#.&>+H":.
)))J&%-(.#:".G>#&-%-%"(.
)))K&(-:>+"&-(.#:".$"<%B"(
C
Linking2Measurement2&2Geometry
)))L>(-:#/%#&.7>::%B>/>+F.A"#(>:"+"&-.#&$.M",+"-:?.
)))N:"("&-"$.-,'"-8":.-,."+98#(%(".-8"%:.:"/#-%,&(8%9.-,."#B8.,-8":I.
"&8#&B%&'.-8"%:.9:#B-%B#/.:"/"<#&B".1L7L!LI.23456
C
Measurement2Topics
)))O"&'-8.;%(-#&B".H"-E""&.2.9,%&-(.1N":%+"-":.P$%(-#&B".#:,>&$.-8".
,>-(%$"I.B%:B>+=":"&B".PB%:B/"6.
)))L:"#.
)))Q,/>+"RB#9#B%-?.
)))A#((.
)))S%+".
)))S"+9":#->:".
)))L&'/".
)))A,&"?
C
Estimation
)))T(-%+#-%,&.%(.>("=>/.
)))T(-%+#-%,&.(8,>/$.H".:"/#-"$.-,.:"#/./%=".
)))T(-%+#-%,&.(#<"(.-%+".
)))T(-%+#-%,&."U9":%"&B"(.(8,>/$.H".9>:9,("=>/.#&$.:"/"<#&-.
)))S8".#H%/%-?.-,."(-%+#-".%(."&8#&B"$.-8:,>'8.9:#B-%B".#&$.,<":.-%+".
)))N":(,&#/.H"&B8+#:V(.#:".>("=>/.:"=":"&-(.=,:."(-%+#-%,&.
)))*,+"-%+"(.%-.%(.H"--":.-,.,<":)"(-%+#-".,:.>&$":"(-%+#-".
)))J("$.-,.<#/%$#-".+"#(>:%&'.-,,/(.#&$.+"-8,$(
C
Sequence2Teaching2in2Measurement
)))K$"&-%=?.-8".#--:%H>-".
)))7,+9#:%&'.#&$.,:$":%&'.
)))W,&)(-#&$#:$.>&%-(.
)))*-#&$#:$.>&%-(.
)))X,:+>/#".,:.#99/%B#-%,&
C
Identify2the2Attribute
)))T#:/?./"&'-8."U9":%"&B"(. +>(-.$"<"/,9.#&.#E#:"&"((.,=.E8#-./"&'-8.%(.#&$.
-8".:#&'".,=.E,:$(.#((,B%#-"$.E%-8.%-
)))YZ%'[ Y*+#//[
)))J(".,=.E,:$(.(>B8.#(./,&'I.(8,:-I.E%$"I.B/,("I.&"#:I.=#:.=,B>(.,&.-8".
#--:%H>-".,=./"&'-8
Identify2the2Attribute:2Play2dough2worms
)))M%<"."#B8.B8%/$.#.H#//.,=.9/#?.$,>'8.#&$.#(V.-8"+.-,.+#V".#.E,:+
)));"(B:%H".-8"%:.E,:+F.A?.E,:+.%(./,&'I.+?.E,:+.%(.=#-I."-B.
)))W,E.+#V".#.(8,:-.E,:+
)))\,E.$,.?,>.V&,E.-8#-.?,>:.E,:+.%(.(8,:-]
)))K(.?,>:.E,:+.-8".(#+".#(."<":?,&"."/("[(]
C
When2Teaching
)))S"#B8":(.(8,>/$.9:,<%$".#.<#:%"-?.,=.9:#B-%B#/."U9":%"&B"(. %&<,/<%&'.-8".
+"#(>:"+"&-.#&$."(-%+#-%,&.,=.#.<#:%"-?.,=.#--:%H>-"(.
)))X%&$.(,+"-8%&'.%&.-8".:,,+.-8#-.%(.#(.-#//.#(.?,>
C
Comparing/Ordering
)))X%:(-.$,&".H?.98?(%B#//?.9/#B%&'.-8".,H^"B-(.(%$".H?.(%$".#&$.+#V%&'.#.
B,+9#:%(,&.
)))T#:/?.B,+9#:%(,&.#B-%<%-%"(.(8,>/$.%&<,/<".2.(%+%/#:.,H^"B-(.-8#-.$%==":.,&/?.
,&.-8".#--:%H>-".,=./"&'-8.
)))D,>&'.B8%/$:"&.,=-"&.-8%&V.-8#-.-8"./"&'-8.,=.#&.,H^"B-.B#&.H".#/-":"$.E8"&.
-8".,H^"B-.%(.+,<"$
)))78%/$:"&.(8,>/$.H".'%<"&.,99,:->&%-%"(.-,.B,+9#:".$%==":"&-.,H^"B-(.
)))A"#&%&'.%(.B/#:%=%"$.E8"&.#.$"(B:%9-%<".-":+.%(.>("$.-,.B,+9#:".-E,.,:.
+,:".,H^"B-(.P"0'0I.+?.9"&B%/.%(./,&'":.-8#&.?,>:(
)))_=-"&.>("$.%&.:"#/./%=".E%-8,>-.>&%-(.P".0'0I.B8"BV%&'.-,.("".%=.-8".=:%$'".E%//.
=%-0
C
Conservation2in2Measurement
)))N%#'"-[(.-8",:?F.B,&(":<#-%,&.
7,&(":<#-%,&.P#&.,H^"B-.H"%&'.+"#(>:"$.B#&.B8#&'".%&.(,+".E#?.E%-8,>-.
-8".G>#&-%-?.,=.-8".#--:%H>-".H"%&'.+"#(>:"$.B8#&'%&'
)))W,-.#&.Y"UB>("[=,:.&,-.-"#B8%&'.%-.P9:,<%(%,&.,=.:%B8.+"#(>:"+"&-.
#B-%<%-%"(.B#&.8#(-"&.-8".+#->:#-%,&.9:,B"((
C
Non-Standard2Units
)))_:$%&#:?.,H^"B-(.E8%B8.#:".>("$.H"B#>(".-8"?.#:".V&,E&.-,.B8%/$:"&.#&$.
:"#$%/?.#<#%/#H/".
)))K&-:,$>B".+,(-.,=.-8".9:%&B%9/"(.#((,B%#-"$.E%-8.+"#(>:"+"&-
)))A"#(>:"(.#:"."U9:"(("$.H?.B,>&-%&'.-8".-,-#/.&>+H":.,=.1>&%=,:+6.>&%-(.
>("$.1#&$.#:".9/#B"$.%&.#.(-:#%'8-./%&"6
)));>:%&'.#.+"#(>:"+"&-.#B-%<%-?I.-8".>&%-.+>(-.&,-.B8#&'".
)))J&%-(.,=.+"#(>:"+"&-.#:".B8,("&.=,:.#99:,9:%#-"&"((
)))S8"./#:'":.-8".>&%-.>("$I.-8".(+#//":.-8".&>+H":.,H-#%&"$.1#&$.<%B".<":(#6.
)))T&B,>:#'"."(-%+#-%,&.P$"<"/,9.#.("&(".,=.-8".(%`".,=.-8".>&%-
)))N#:-(.,=.-8".H,$?.9:,<%$".%&-":"(-%&'.>&%-(.P=%&'":.E%$-8I.8#&$.(9#&I.=,,-I.
9#B"I.#:+.(9#&0.
)))K&-:,$>B".-8".#99:,9:%#-"&"((.,=.>&%-(.,=.+"#(>:".P"0'0I.#.9#B".%(.+,:".
#99:,9:%#-".-8#&.#.8#&$.(9#&.=,:.+"#(>:%&'.-8"./"&'-8.,=.-8".:,,+
)))*->$"&-(.&""$.,99,:->&%-%"(.-,.+"#(>:".>(%&'.-8"%:.,E&.#:H%-:#:%/?.B8,("&.
>&%-(.1&,&(-#&$#:$6.
)))A#V".>(".,=.#<#%/#H/".,H^"B-(.P"0'0I.B>H"(I.:,$(I.9"&B%/(I.9#9":.B/%9(I.
(-:#E(I.(-%BV(I."-B0.H>-.$"<"/,9.#&.#E#:"&"((.,=.-8"./%+%-#-%,&(.,=.-8"(".
>&%-(.P"0'I."<":?,&".+"#(>:"(.-8"./"&'-8.,=.-8".H,#:$.>(%&'.-8"%:.8#&$.
(9#&(.PE8#-.$,.-8"?.&,-%B"]
C
Moving2from2Non-Standard2to2Standar$.
)))a,8&.(#%$.-8#-.8%(.=%(8.E#(.53.>&%-(./,&'0.O%`.(#%$.-8#-.8":.=%(8.E#(.b5.>&%-(.
/,&'0.c8,(".=%(8.E#(./,&'":]
C
Standard2Units
)))L//,E.B,&(%(-"&B?.#&$.B,++>&%B#-%,&.,=.+"#(>:"(.
)))A"-:%B.>&%-(.P/,'%B#/.#&$.(?(-"+#-%B.%&.-8"%:.B,&<":(%,&(.
)))K+9":%#/.>&%-(.$"<"/,9"$.=:,+.-8".>(".,=.H,$?.9#:-(.#&$.(%`"I.H>-.
B,&<":(%,&(.#:".$%==%B>/-
)))O"&'-8F.+"-:".1+6d.+%//%.1,&".-8,>(#&$-86d.B"&-%.1,&".8>&$:"$-86d.V%/,.1,&".
-8,>(#&$6.
)))L:"#F.(G>#:".+"-:".
)))Q,/>+"F.B>H%B.+"-:".
)))A#((F.':#+d.V%/,':#+
)))N:,<%$".9:#B-%B#/."U9":%"&B"(.%&.>(%&'.+"#(>:%&'.$"<%B"(
)))A#V"."(-%+#-%,&(.,=.G>#&-%-%"(.%&.:"#/)E,:/$.(%->#-%,&(.
)))TG>%<#/"&B".H"-E""&.>&%-(.
)))S8".H%''":.-8".>&%-I.-8".(+#//":.-8".&>+H":.#&$.-8".(+#//":.-8".>&%-I.-8".
H%''":.-8".&>+H":
)))*->$"&-(.&""$."U9":%"&B"(.E8%B8.(8,E.-8"+.-8#-.(,+".>&%-(.#:".H"--":.
-8#&.,-8":(I.$"9"&$%&'.>9,&.-8".+"#(>:"+"&-.-#(V
)))*->$"&-(.&""$.-,.$"<"/,9.#&.>&$":(-#&$%&'.,=.-8".:"/#-%,&(8%9.H"-E""&.
-8".(%`".,=.-8".>&%-.#&$.-8".&>+H":.,=.>&%-(.:"G>%:"$.-,.+"#(>:".#&.,H^"B-
)))*->$"&-(.&""$.-,."U9":%"&B".-8".>("=>/&"((.,=.(-#&$#:$.>&%-(
)))*->$"&-(.&""$.-,."U9":%"&B".-8".>("=>/&"((.,=.=%&":.>&%-(
)))*->$"&-(.&""$.-,.$"<"/,9.#&.>&$":(-#&$%&'.,=.:"/#-%,&(8%9(.H"-E""&.>&%-(0
)))4B+.e.43++d.433B+.e.4+d.4333+e4.V+F.S8".H%''":.-8".>&%-I.-8".(+#//":.
-8".&>+H":
)))*->$"&-(.&""$.-,."U9":%+"&-.E%-8.+"#(>:%&'
)))K&.9:%+#:?.(B8,,/(I.>(>#//?.%&-:,$>B".-8".B"&-%+"-:".=%:(-I.-8"&.-8".+"-:"I.
=,//,E"$./#-":.H?.-8".V%/,+"-:".#&$.+%//%+"-:".1#/-8,>'8.(,+".-"#B8":(.E%//.
%&-:,$>B".+"-:"I.=,//,E"$.H?.B+6.
)))7"&-%+"-:".P(+#//."&,>'8.-,.+"#(>:".B,++,&.,H^"B-(I.B#&.B,&(-:>B-.%-.
-8:,>'8.B>--%&'.9#9":.,:.(-:#E(I.>(".4B+.B>H"(0.
)))7,&(,/%$#-".-8".&,-%,&.,=.-8".(%`".,=.-8".B"&-%+"-:"
)))L=-":.>(%&'.B"&-%+"-:".>&%-(I.-8".B8%/$:"&.B#&.-8"&.H".%&-:,$>B"$.-,.-8".
B"&-%+"-:".:>/":.
)))A#?.$"<"/,9.-8"%:.,E&.:>/":.-,.H"'%&.E%-8.
)))S8".B,::"B-.>(".,=.#.:>/":.&""$(.(9"B%=%B.%&(-:>B-%,&
)))A"-:"(.#&$.+%//%+"-:"(.#:"."(-#H/%(8"$.>(%&'.#.(%+%/#:.("G>"&B"
)))S"#B8":(.&""$.-,.':#$>#//?.%&-:,$>B".+#-8"+#-%B#/.-":+(.#&$.(?+H,/(
)))*->$"&-(.(8,>/$.H".#H/".-,.^>$'".-8"./"<"/.,=.#BB>:#B?.#&$.9:"B%(%,&.
%+9/%"$.,:.:"G>%:"$
C
Applying2and2Interpreting
)))O"#:&%&'."U9":%"&B"(. E8%B8."&B,>:#'".B8%/$:"&.-,.Y$%(B,<":[.+"#(>:"+"&-.
=,:+>/#".
)))T0'0I.=,:+>/#.=,:.B#/B>/#-%&'.#:"#I.<,/>+".#&$.9":%+"-":.
)))N":%+"-":.,=.:"B-#&'/".e.2.U.1/"&'-8.f.E%$-86.
)));"/#?.Y=,:+#/[-"#B8%&'.,=.=,:+>/#"
C
Geometric2Measures
)))O"&'-8.P,&")$%+"&(%,&#/d.:"/#-"$.-,.$%:"B-%,&.#&$./%&"
)))L:"#.P-E,)$%+"&(%,&#/d.#.:"'%,&."&B/,("$.H?.#.9/#&".(8#9".
)))Q,/>+".1#+,>&-.,=.(9#B".b;6.#&$.B#9#B%-?.1b;.(>H(-#&B"(6.
)))L&'/".1#+,>&-.,=.->:&.,:.:,-#-%,&6
C
Physical2Measures
)))A#((.1&,-.E"%'8-6.P+"#(>:".,=.-8".%&":-%#.,=.#&.,H^"B-d.&,-.9:,9,:-%,&#/.-,.
<,/>+".
)))S%+".P+,:".-8#&.:"#$%&'.#.(B#/".
)))S"+9":#->:".P8,E.8,-.,:.B,/$.
)))A,&"?.#&$.<#/>"
C
Another2Key2Understanding
)))7#/%H:#-"$.(B#/"(.B#&.H".>("$.#(.#.(>H(-%->-".-,.:"9"#-%&'.>&%-(.E8"&.
+"#(>:%&'./"&'-8I.B#9#B%-?I.+#((I.#&'/".#&$.-%+".
)))1X%:(-.*-"9(.%&.A#-8"+#-%B(I.A"#(>:"+"&-6
C
Summary
)))A"#(>:"+"&-."U9":%"&B"(.(8,>/$.H".8#&$(.,&.#&$.:"/"<#&-.-,.:"#/)/%=".
)))S8":".%(.#.("G>"&B".-,.=,//,E.E8"&.-"#B8%&'.+"#(>:"+"&-.B,&B"9-(.
)))S8".9:%&B%9/"(.,=.+"#(>:"+"&-.&""$.-,.H"."U9/%B%-/?. -#>'8-.1#&$.#(("(("$6
C
Week$4-Teaching$Measurement$Concepts
c"$&"($#?I. 2.L>'>(-.234g
42F3@.#+
Unlock document

This preview shows pages 1-2 of the document.
Unlock all 5 pages and 3 million more documents.

Already have an account? Log in
!"#$%&'(
)))*%"+,& "-.#/0.123456.78#9-":.44.1;"<"/,9%&'.#.("&(".,=.+"#(>:"+"&-.#&$.
'",+"-:?6.#&$.78#9-":.4@ 1A"#(>:"+"&-.B,&B"9-(.#&$.(-:#-"'%"(6
C
Introduction
D,>.(8,>/$.8#<".#B8%"<"$.-8".=,//,E%&'./"#:&%&'.,>-B,+"(F
)))#&.>&$":(-#&$%&'.,=.-8".B,&B"9->#/.=,>&$#-%,&(.#((,B%#-"$.E%-8.-8".
9:,B"((.,=.+"#(>:"+"&-
)))>&$":(-#&$.#&$.%$"&-%=?.-8"./"#:&%&'.("G>"&B".=,:.+"#(>:"+"&-
)))H".#H/".-,.#:-%B>/#-".-8".9:%&B%9/"(.,=.+"#(>:"+"&-
)))%&<"(-%'#-".#99:,#B8"(.-,.$"<"/,9.#&.>&$":(-#&$%&'.,=.$%==":"&-.
+"#(>:"+"&-.B,&B"9-(.E%-8.#.9#:-%B>/#:.=,B>(.,&./"&'-8
C
Measurement
)))A"#(>:"+"&-.%&<,/<"(.-8".B,+9#:%(,&.,=.(,+".#--:%H>-".,=.-8".-8%&'.H"%&'.
+"#(>:"$.E%-8.#.G>#&-%-?.,=.-8#-.#--:%H>-".B8,("&.#(.-8".>&%-I.%&.,:$":.-,.
9:,<%$".#.&>+H":.
)))J&%-(.#:".G>#&-%-%"(.
)))K&(-:>+"&-(.#:".$"<%B"(
C
Linking2Measurement2&2Geometry
)))L>(-:#/%#&.7>::%B>/>+F.A"#(>:"+"&-.#&$.M",+"-:?.
)))N:"("&-"$.-,'"-8":.-,."+98#(%(".-8"%:.:"/#-%,&(8%9.-,."#B8.,-8":I.
"&8#&B%&'.-8"%:.9:#B-%B#/.:"/"<#&B".1L7L!LI.23456
C
Measurement2Topics
)))O"&'-8.;%(-#&B".H"-E""&.2.9,%&-(.1N":%+"-":.P$%(-#&B".#:,>&$.-8".
,>-(%$"I.B%:B>+=":"&B".PB%:B/"6.
)))L:"#.
)))Q,/>+"RB#9#B%-?.
)))A#((.
)))S%+".
)))S"+9":#->:".
)))L&'/".
)))A,&"?
C
Estimation
)))T(-%+#-%,&.%(.>("=>/.
)))T(-%+#-%,&.(8,>/$.H".:"/#-"$.-,.:"#/./%=".
)))T(-%+#-%,&.(#<"(.-%+".
)))T(-%+#-%,&."U9":%"&B"(.(8,>/$.H".9>:9,("=>/.#&$.:"/"<#&-.
)))S8".#H%/%-?.-,."(-%+#-".%(."&8#&B"$.-8:,>'8.9:#B-%B".#&$.,<":.-%+".
)))N":(,&#/.H"&B8+#:V(.#:".>("=>/.:"=":"&-(.=,:."(-%+#-%,&.
)))*,+"-%+"(.%-.%(.H"--":.-,.,<":)"(-%+#-".,:.>&$":"(-%+#-".
)))J("$.-,.<#/%$#-".+"#(>:%&'.-,,/(.#&$.+"-8,$(
C
Sequence2Teaching2in2Measurement
)))K$"&-%=?.-8".#--:%H>-".
)))7,+9#:%&'.#&$.,:$":%&'.
)))W,&)(-#&$#:$.>&%-(.
)))*-#&$#:$.>&%-(.
)))X,:+>/#".,:.#99/%B#-%,&
C
Identify2the2Attribute
)))T#:/?./"&'-8."U9":%"&B"(. +>(-.$"<"/,9.#&.#E#:"&"((.,=.E8#-./"&'-8.%(.#&$.
-8".:#&'".,=.E,:$(.#((,B%#-"$.E%-8.%-
)))YZ%'[ Y*+#//[
)))J(".,=.E,:$(.(>B8.#(./,&'I.(8,:-I.E%$"I.B/,("I.&"#:I.=#:.=,B>(.,&.-8".
#--:%H>-".,=./"&'-8
Identify2the2Attribute:2Play2dough2worms
)))M%<"."#B8.B8%/$.#.H#//.,=.9/#?.$,>'8.#&$.#(V.-8"+.-,.+#V".#.E,:+
)));"(B:%H".-8"%:.E,:+F.A?.E,:+.%(./,&'I.+?.E,:+.%(.=#-I."-B.
)))W,E.+#V".#.(8,:-.E,:+
)))\,E.$,.?,>.V&,E.-8#-.?,>:.E,:+.%(.(8,:-]
)))K(.?,>:.E,:+.-8".(#+".#(."<":?,&"."/("[(]
C
When2Teaching
)))S"#B8":(.(8,>/$.9:,<%$".#.<#:%"-?.,=.9:#B-%B#/."U9":%"&B"(. %&<,/<%&'.-8".
+"#(>:"+"&-.#&$."(-%+#-%,&.,=.#.<#:%"-?.,=.#--:%H>-"(.
)))X%&$.(,+"-8%&'.%&.-8".:,,+.-8#-.%(.#(.-#//.#(.?,>
C
Comparing/Ordering
)))X%:(-.$,&".H?.98?(%B#//?.9/#B%&'.-8".,H^"B-(.(%$".H?.(%$".#&$.+#V%&'.#.
B,+9#:%(,&.
)))T#:/?.B,+9#:%(,&.#B-%<%-%"(.(8,>/$.%&<,/<".2.(%+%/#:.,H^"B-(.-8#-.$%==":.,&/?.
,&.-8".#--:%H>-".,=./"&'-8.
)))D,>&'.B8%/$:"&.,=-"&.-8%&V.-8#-.-8"./"&'-8.,=.#&.,H^"B-.B#&.H".#/-":"$.E8"&.
-8".,H^"B-.%(.+,<"$
)))78%/$:"&.(8,>/$.H".'%<"&.,99,:->&%-%"(.-,.B,+9#:".$%==":"&-.,H^"B-(.
)))A"#&%&'.%(.B/#:%=%"$.E8"&.#.$"(B:%9-%<".-":+.%(.>("$.-,.B,+9#:".-E,.,:.
+,:".,H^"B-(.P"0'0I.+?.9"&B%/.%(./,&'":.-8#&.?,>:(
)))_=-"&.>("$.%&.:"#/./%=".E%-8,>-.>&%-(.P".0'0I.B8"BV%&'.-,.("".%=.-8".=:%$'".E%//.
=%-0
C
Conservation2in2Measurement
)))N%#'"-[(.-8",:?F.B,&(":<#-%,&.
7,&(":<#-%,&.P#&.,H^"B-.H"%&'.+"#(>:"$.B#&.B8#&'".%&.(,+".E#?.E%-8,>-.
-8".G>#&-%-?.,=.-8".#--:%H>-".H"%&'.+"#(>:"$.B8#&'%&'
)))W,-.#&.Y"UB>("[=,:.&,-.-"#B8%&'.%-.P9:,<%(%,&.,=.:%B8.+"#(>:"+"&-.
#B-%<%-%"(.B#&.8#(-"&.-8".+#->:#-%,&.9:,B"((
C
Non-Standard2Units
)))_:$%&#:?.,H^"B-(.E8%B8.#:".>("$.H"B#>(".-8"?.#:".V&,E&.-,.B8%/$:"&.#&$.
:"#$%/?.#<#%/#H/".
)))K&-:,$>B".+,(-.,=.-8".9:%&B%9/"(.#((,B%#-"$.E%-8.+"#(>:"+"&-
)))A"#(>:"(.#:"."U9:"(("$.H?.B,>&-%&'.-8".-,-#/.&>+H":.,=.1>&%=,:+6.>&%-(.
>("$.1#&$.#:".9/#B"$.%&.#.(-:#%'8-./%&"6
)));>:%&'.#.+"#(>:"+"&-.#B-%<%-?I.-8".>&%-.+>(-.&,-.B8#&'".
)))J&%-(.,=.+"#(>:"+"&-.#:".B8,("&.=,:.#99:,9:%#-"&"((
)))S8"./#:'":.-8".>&%-.>("$I.-8".(+#//":.-8".&>+H":.,H-#%&"$.1#&$.<%B".<":(#6.
)))T&B,>:#'"."(-%+#-%,&.P$"<"/,9.#.("&(".,=.-8".(%`".,=.-8".>&%-
)))N#:-(.,=.-8".H,$?.9:,<%$".%&-":"(-%&'.>&%-(.P=%&'":.E%$-8I.8#&$.(9#&I.=,,-I.
9#B"I.#:+.(9#&0.
)))K&-:,$>B".-8".#99:,9:%#-"&"((.,=.>&%-(.,=.+"#(>:".P"0'0I.#.9#B".%(.+,:".
#99:,9:%#-".-8#&.#.8#&$.(9#&.=,:.+"#(>:%&'.-8"./"&'-8.,=.-8".:,,+
)))*->$"&-(.&""$.,99,:->&%-%"(.-,.+"#(>:".>(%&'.-8"%:.,E&.#:H%-:#:%/?.B8,("&.
>&%-(.1&,&(-#&$#:$6.
)))A#V".>(".,=.#<#%/#H/".,H^"B-(.P"0'0I.B>H"(I.:,$(I.9"&B%/(I.9#9":.B/%9(I.
(-:#E(I.(-%BV(I."-B0.H>-.$"<"/,9.#&.#E#:"&"((.,=.-8"./%+%-#-%,&(.,=.-8"(".
>&%-(.P"0'I."<":?,&".+"#(>:"(.-8"./"&'-8.,=.-8".H,#:$.>(%&'.-8"%:.8#&$.
(9#&(.PE8#-.$,.-8"?.&,-%B"]
C
Moving2from2Non-Standard2to2Standar$.
)))a,8&.(#%$.-8#-.8%(.=%(8.E#(.53.>&%-(./,&'0.O%`.(#%$.-8#-.8":.=%(8.E#(.b5.>&%-(.
/,&'0.c8,(".=%(8.E#(./,&'":]
C
Standard2Units
)))L//,E.B,&(%(-"&B?.#&$.B,++>&%B#-%,&.,=.+"#(>:"(.
)))A"-:%B.>&%-(.P/,'%B#/.#&$.(?(-"+#-%B.%&.-8"%:.B,&<":(%,&(.
)))K+9":%#/.>&%-(.$"<"/,9"$.=:,+.-8".>(".,=.H,$?.9#:-(.#&$.(%`"I.H>-.
B,&<":(%,&(.#:".$%==%B>/-
)))O"&'-8F.+"-:".1+6d.+%//%.1,&".-8,>(#&$-86d.B"&-%.1,&".8>&$:"$-86d.V%/,.1,&".
-8,>(#&$6.
)))L:"#F.(G>#:".+"-:".
)))Q,/>+"F.B>H%B.+"-:".
)))A#((F.':#+d.V%/,':#+
)))N:,<%$".9:#B-%B#/."U9":%"&B"(.%&.>(%&'.+"#(>:%&'.$"<%B"(
)))A#V"."(-%+#-%,&(.,=.G>#&-%-%"(.%&.:"#/)E,:/$.(%->#-%,&(.
)))TG>%<#/"&B".H"-E""&.>&%-(.
)))S8".H%''":.-8".>&%-I.-8".(+#//":.-8".&>+H":.#&$.-8".(+#//":.-8".>&%-I.-8".
H%''":.-8".&>+H":
)))*->$"&-(.&""$."U9":%"&B"(.E8%B8.(8,E.-8"+.-8#-.(,+".>&%-(.#:".H"--":.
-8#&.,-8":(I.$"9"&$%&'.>9,&.-8".+"#(>:"+"&-.-#(V
)))*->$"&-(.&""$.-,.$"<"/,9.#&.>&$":(-#&$%&'.,=.-8".:"/#-%,&(8%9.H"-E""&.
-8".(%`".,=.-8".>&%-.#&$.-8".&>+H":.,=.>&%-(.:"G>%:"$.-,.+"#(>:".#&.,H^"B-
)))*->$"&-(.&""$.-,."U9":%"&B".-8".>("=>/&"((.,=.(-#&$#:$.>&%-(
)))*->$"&-(.&""$.-,."U9":%"&B".-8".>("=>/&"((.,=.=%&":.>&%-(
)))*->$"&-(.&""$.-,.$"<"/,9.#&.>&$":(-#&$%&'.,=.:"/#-%,&(8%9(.H"-E""&.>&%-(0
)))4B+.e.43++d.433B+.e.4+d.4333+e4.V+F.S8".H%''":.-8".>&%-I.-8".(+#//":.
-8".&>+H":
)))*->$"&-(.&""$.-,."U9":%+"&-.E%-8.+"#(>:%&'
)))K&.9:%+#:?.(B8,,/(I.>(>#//?.%&-:,$>B".-8".B"&-%+"-:".=%:(-I.-8"&.-8".+"-:"I.
=,//,E"$./#-":.H?.-8".V%/,+"-:".#&$.+%//%+"-:".1#/-8,>'8.(,+".-"#B8":(.E%//.
%&-:,$>B".+"-:"I.=,//,E"$.H?.B+6.
)))7"&-%+"-:".P(+#//."&,>'8.-,.+"#(>:".B,++,&.,H^"B-(I.B#&.B,&(-:>B-.%-.
-8:,>'8.B>--%&'.9#9":.,:.(-:#E(I.>(".4B+.B>H"(0.
)))7,&(,/%$#-".-8".&,-%,&.,=.-8".(%`".,=.-8".B"&-%+"-:"
)))L=-":.>(%&'.B"&-%+"-:".>&%-(I.-8".B8%/$:"&.B#&.-8"&.H".%&-:,$>B"$.-,.-8".
B"&-%+"-:".:>/":.
)))A#?.$"<"/,9.-8"%:.,E&.:>/":.-,.H"'%&.E%-8.
)))S8".B,::"B-.>(".,=.#.:>/":.&""$(.(9"B%=%B.%&(-:>B-%,&
)))A"-:"(.#&$.+%//%+"-:"(.#:"."(-#H/%(8"$.>(%&'.#.(%+%/#:.("G>"&B"
)))S"#B8":(.&""$.-,.':#$>#//?.%&-:,$>B".+#-8"+#-%B#/.-":+(.#&$.(?+H,/(
)))*->$"&-(.(8,>/$.H".#H/".-,.^>$'".-8"./"<"/.,=.#BB>:#B?.#&$.9:"B%(%,&.
%+9/%"$.,:.:"G>%:"$
C
Applying2and2Interpreting
)))O"#:&%&'."U9":%"&B"(. E8%B8."&B,>:#'".B8%/$:"&.-,.Y$%(B,<":[.+"#(>:"+"&-.
=,:+>/#".
)))T0'0I.=,:+>/#.=,:.B#/B>/#-%&'.#:"#I.<,/>+".#&$.9":%+"-":.
)))N":%+"-":.,=.:"B-#&'/".e.2.U.1/"&'-8.f.E%$-86.
)));"/#?.Y=,:+#/[-"#B8%&'.,=.=,:+>/#"
C
Geometric2Measures
)))O"&'-8.P,&")$%+"&(%,&#/d.:"/#-"$.-,.$%:"B-%,&.#&$./%&"
)))L:"#.P-E,)$%+"&(%,&#/d.#.:"'%,&."&B/,("$.H?.#.9/#&".(8#9".
)))Q,/>+".1#+,>&-.,=.(9#B".b;6.#&$.B#9#B%-?.1b;.(>H(-#&B"(6.
)))L&'/".1#+,>&-.,=.->:&.,:.:,-#-%,&6
C
Physical2Measures
)))A#((.1&,-.E"%'8-6.P+"#(>:".,=.-8".%&":-%#.,=.#&.,H^"B-d.&,-.9:,9,:-%,&#/.-,.
<,/>+".
)))S%+".P+,:".-8#&.:"#$%&'.#.(B#/".
)))S"+9":#->:".P8,E.8,-.,:.B,/$.
)))A,&"?.#&$.<#/>"
C
Another2Key2Understanding
)))7#/%H:#-"$.(B#/"(.B#&.H".>("$.#(.#.(>H(-%->-".-,.:"9"#-%&'.>&%-(.E8"&.
+"#(>:%&'./"&'-8I.B#9#B%-?I.+#((I.#&'/".#&$.-%+".
)))1X%:(-.*-"9(.%&.A#-8"+#-%B(I.A"#(>:"+"&-6
C
Summary
)))A"#(>:"+"&-."U9":%"&B"(.(8,>/$.H".8#&$(.,&.#&$.:"/"<#&-.-,.:"#/)/%=".
)))S8":".%(.#.("G>"&B".-,.=,//,E.E8"&.-"#B8%&'.+"#(>:"+"&-.B,&B"9-(.
)))S8".9:%&B%9/"(.,=.+"#(>:"+"&-.&""$.-,.H"."U9/%B%-/?. -#>'8-.1#&$.#(("(("$6
C
Week$4-Teaching$Measurement$Concepts
c"$&"($#?I. 2.L>'>(-.234g 42F3@.#+
Unlock document

This preview shows pages 1-2 of the document.
Unlock all 5 pages and 3 million more documents.

Already have an account? Log in

Document Summary

--siemon et al. (2015) chapter 11 (developing a sense of measurement and geometry) and chapter 19 (measurement concepts and strategies) You should have achieved the following learning outcomes: --an understanding of the conceptual foundations associated with the process of measurement. --understand and identify the learning sequence for measurement. --be able to articulate the principles of measurement. --investigate approaches to develop an understanding of different measurement concepts with a particular focus on length. --measurement involves the comparison of some attribute of the thing being measured with a quantity of that attribute chosen as the unit, in order to provide a number. --presented together to emphasise their relationship to each other, enhancing their practical relevance (acara, 2015) --length distance between 2 points (perimeter distance around the outside, circumference circle) --the ability to estimate is enhanced through practice and over time. --sometimes it is better to over-estimate or underestimate.

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers
Class+
$8 USD/m
Billed $96 USD annually
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
30 Verified Answers

Related Documents