growing and shrinking task cards ·...
TRANSCRIPT
Growing(&(Shrinking(task(cards,(reference(materials,(and(assessments(! !Common!Core!State!Standards!for!Mathematics!addressed:!!
(((((((
Numbers(and(Operations:(Fractions!!(
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Interpret multiplication as scaling (resizing), by:
• Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. (5.NF.5a)
• Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by !a fraction less than 1 results in a product less than the given number; and relating the principle of fraction equivalence a/b = (n x a)/(n x b) to the effect of multiplying a/b by 1. (5.NF.5b)!!
!I!designed!these!materials!to!help!give!my!students!a!visual!metaphor!for!
thinking!about!multiplication!as!sizing!and!recognizing!the!ways!that!resizing!can!change!a!quantity.!!I!chose!the!concept!of!a!“sizing!potion”,!some!of!which!can!scale!a!quantity!up!(x!3,!x!7,!etc.)!and!cause!it!to!“grow”!and!others!scale!a!quantity!down!(x!!!,!x!!!)!and!cause!it!to!“shrink”.!!The!goal!is!for!students!to!recognize!that!when!you!multiply!an!amount!by!a!whole!number!greater!than!1,!the!new!quantity!is!larger!than!the!original!amount,!and!when!you!multiply!an!amount!by!a!fraction!less!than!1,!the!new!quantity!is!smaller!than!the!original!amount.!
The!powerpoint!has!20!slides!and!was!created!as!an!introduction!to!the!concept!of!multiplication!as!scaling.!!The!animations!illustrate!objects!(in!this!case,!dinosaurs)!growing!when!given!a!potion!that!uses!a!whole!number!and!shrinks!with!given!a!potion!that!uses!a!fraction!less!than!one.!!All!of!the!animations!are!timed!to!appear!automatically,!with!arrows!appearing!on!each!slide!when!the!slide!needs!to!be!advanced.!!A!number!of!the!slides!present!discussion!questions!that!will!allow!your!class!to!have!a!smallNgroup!and/or!wholeNgroup!conversation!about!the!concepts!presented.!!
After!presenting!the!powerpoint,!you!can!give!your!students!one!or!both!of!the!reference!sheets!included!in!this!set.!!!The!first!graphic!reference!sheet!is!fullNpage!size!and!provides!an!overview!of!how!multiplication!can!change!a!given!number.!!It!
shows!the!result!of!multiplying!a!whole!number!by!a!whole!number,!a!fraction!by!a!whole!number,!and!a!fraction!by!a!fraction.!!!The!foldable,!like!the!fullNpage!reference!sheet,!is!designed!to!be!glued!in!your!students’!journals.!!The!students!will!end!up!with!four!flaps,!each!of!which!can!be!lifted!to!show!how!multiplication!can!cause!a!number!to!“grow”!or!“shrink”.!!!My!students!love!it!when!I!use!these!flipbookNstyle!journal!inserts,!and!I!think!your!students!will!as!well!!!Have!your!students!use!the!journal!inserts!as!guides!while!they!work!on!the!cards,!as!well!as!when!they!complete!other!tasks!that!relate!to!multiplication!as!scaling.!!
The!32!task!cards!use!the!same!metaphor!of!“sizing!potions”,!making!them!the!ideal!followNup!to!the!powerpoint.!!Each!card!presents!the!students!with!a!given!potion!and!a!description!of!the!size!of!a!hypothetical!pet!(for!example,!a!snake!that!is!¾!of!a!foot!long).!!The!students!have!to!figure!out!from!the!label!on!the!potion!whether!it!is!a!growing!potion!or!a!shrinking!potion!and!identify!whether!the!animal’s!new!size!will!be!greater!than!its!original!size!or!less!than!its!original!size.!
The!students!are!not!expected!to!actually!multiply!the!numbers!to!determine!the!new!size!of!the!animal.!!In!fact,!the!standard!itself!requires!students!to!be!able!to!identify!and!explain!how!a!product!compares!to!the!size!of!factors!without!calculating!the!numbers.!!When!I!taught!this!standard!and!used!these!materials,!I!had!not!yet!taught!students!how!to!multiply!fractions.!!I!think!that!was!actually!helpful!because!lacking!a!knowledge!of!the!procedure,!the!students!couldn’t!just!multiply!the!numbers!and!compare!–!they!had!to!actually!use!reasoning.!
There!are!lots!of!ways!in!which!you!can!implement!the!task!cards.!!You!can!have!the!students!work!on!them!independently,!working!through!the!task!cards!on!their!own.!!The!students!can!work!on!them!in!pairs!or!small!groups,!completing!all!the!task!cards!in!one!session.!!You!can!use!them!in!centers,!having!the!students!complete!6N8!task!cards!a!day!over!the!course!of!the!week.!!!You!can!even!use!them!as!a!variation!of!“problem!of!the!day”,!giving!each!student!1!sheet!of!4!cards!to!glue!in!their!journals!and!solve,!one!sheet!per!day!for!eight!days.!!!
I!usually!use!the!cards!in!multiple!sessions,!with!students!typically!completing!them!in!pairs.!!I!created!two!!“task!card!holders”!by!cutting!the!ends!off!of!some!envelopes!and!taping!them!to!a!piece!of!posterboard.!!They’re!not!the!prettiest!things!in!the!world!!,!but!they!are!handy,!and!the!kids!love!going!up!to!swap!a!used!task!card!for!a!new!one.!!!Before!I!made!these,!I!would!just!line!the!task!cards!in!order!along!my!chalkboard!ledge!and!then!give!out!one!random!card!to!each!pair!of!students.!!When!done!the!card,!one!of!the!students!brings!the!card!back!up!to!the!task!card!holder!or!the!ledge,!puts!the!used!card!with!the!others!of!the!same!number,!and!then!chooses!another!card!to!complete.!!This!way,!the!students!can!work!at!their!own!pace!while!I!circulate!and!provide!guided!assistance,!or!pull!a!small!group!to!work!on!needed!skill!work.!!This!method!of!implementation!has!the!added!benefit!of!providing!opportunities!for!movement!!
Included!in!this!set!are!eight!“answer!cards”!that!can!serve!as!a!resource!if!you!use!a!selfNpaced!structure!for!implementing!the!task!cards.!!Often,!I!would!have!kids!
work!in!pairs!on!cards!while!I!circulated!to!spot!check!and!give!feedback!to!pairs!of!students.!!Naturally,!I!would!get!backed!up!and!not!be!able!to!reach!as!many!kids!until!after!they!had!already!made!many!mistakes.!!I!designed!these!answer!cards!so!that!the!students!could!check!themselves:!catching!errors,!figuring!out!for!themselves!what!they!did!wrong,!and!(hopefully)!avoiding!the!same!mistake!on!later!cards.!!!
I!set!up!the!answer!cards!so!there!is!one!answer!card!for!each!set!of!four!cards!(cards!1N4,!5N8,!9N12,!etc.).!!I!printed!out!5!or!6!of!each!card!and!laid!them!out!on!the!bookshelves!in!the!front!of!my!room!with!labels!identifying!which!card!was!which.!!I!explained!to!the!students!that!they!could!do!the!cards!in!any!order!they!wanted,!but!they!had!to!do!them!in!sets!of!4.!!Once!they!had!completed!a!set!of!4,!they!were!to!get!an!answer!card,!check!it!against!their!answers,!and!then!return!the!answer!card!to!the!pile.!!If!they!had!an!answer!that!was!incorrect,!I!asked!them!to!circle!the!card!number!(so!I!could!later!tell!how!many!errors!they!originally!made),!and!then!get!that!particular!card!back!to!try!to!figure!out!their!mistake.!
The!two!provided!assessment!activities!can!be!used!to!evaluate!student!understanding!of!multiplication!as!scaling.!!The!assessment!activities!use!a!mix!of!multipleNchoice,!openNended,!and!written!response!questions.!!These!activities!are!formatted!similarly,!and!have!similar!types!of!questions,!though!the!numbers!on!each!are!different.!!I!designed!them!this!way!so!they!could!be!easily!used!as!a!pre/post!assessment.!!However,!you!can!use!these!activity!pages!in!a!variety!of!ways!–!guided!practice,!paired!work,!homework,!center!assignments,!or!any!other!purpose!that!fits!your!teaching!style!or!classroom!routines.!
!!If!you!have!any!questions!or!suggestions!regarding!these!materials,!please!feel!
[email protected]!!!Thanks!
3!inches!
15!inches!
!!"!!inches! 1!!!!inches!
!!!!inches!
!!!!inches!
This!small!fish!takes!a!potion!–!a!“5!times!the!size”!potion.!!The!potion!makes!it!become!5!times!as!long.!
The!fish!is!now!larger!N!!5!times!the!size.!!The!fish’s!length!was!scaled!up.!
This!plant!has!a!potion!poured!on!it!–!a!“3!
times!the!size”!potion.!!The!potion!makes!it!become!3!times!as!tall.!
The!plant!is!now!larger!–!3!times!the!size.!!The!plant’s!height!was!scaled!up.!
This!bee!drinks!a!potion!–!a!“!!!!times!the!size”!potion.!!The!potion!makes!it!!!!times!as!big.!
The!bee!is!now!smaller!–!!!!!times!the!size.!!The!bee’s!length!was!scaled!down.!
Multiplying!the!small!bee’s!length!by!!!!makes!it!smaller.!!!!!!!!!!!x!
!!!=!
!!!!!!!!!!
!!!!<!!
!!!
Multiplying!the!length!of!the!small!fish!by!5!makes!it!larger.!!!!!3!x!5!=!15!!!!!15!>!3!
Multiplying!the!height!of!the!small!plant!by!3!makes!it!larger.!!! !!"!!x!3!=!1!!!!!!!!1
!!!>!
!!"!
x 5 potion
x 3 potion
x!!!!potion
One!way!to!think!about!multiplication!is!as!scaling!or!resizing.!!!You!can!multiply!a!number!and!increase!its!size,!but!you!can!also!multiply!a!
number!and!decrease!its!size.!!It!all!depends!on!the!factors!you!are!using!!
3!inches!
!
3!inches!
15!inches!
!!"!!inches! 1!!!!inches!
!!!!inches!
!!!!inches!
This!small!fish!takes!a!potion!–!a!“5!times!the!size”!potion.!!The!potion!makes!it!become!5!times!as!long.!
The!fish!is!now!larger!N!!5!times!the!size.!!The!fish’s!length!was!scaled!up.!
This!plant!has!a!potion!poured!on!it!–!a!“3!
times!the!size”!potion.!!The!potion!makes!it!become!3!times!as!tall.!
The!plant!is!now!larger!–!3!times!the!size.!!The!plant’s!height!was!scaled!up.!
This!bee!drinks!a!potion!–!a!“!!!!times!the!size”!potion.!!The!potion!makes!it!!!!times!as!big.!
The!bee!is!now!smaller!–!!!!!times!the!size.!!The!bee’s!length!was!scaled!down.!
Multiplying!the!small!bee’s!length!by!!!!makes!it!smaller.!!!!!!!!!!!x!
!!!=!
!!!!!!!!!!
!!!!<!!
!!!
Multiplying!the!length!of!the!small!fish!by!5!makes!it!larger.!!!!!3!x!5!=!15!!!!!15!>!3!
Multiplying!the!height!of!the!small!plant!by!3!makes!it!larger.!!! !!"!!x!3!=!1!!!!!!!!1
!!!>!
!!"!
x 5 potion
x!!!!potion
One!way!to!think!about!multiplication!is!as!scaling!or!resizing.!!!You!can!multiply!a!number!and!increase!its!size,!but!you!can!also!multiply!a!
number!and!decrease!its!size.!!It!all!depends!on!the!factors!you!are!using!!
x 3 potion
3!inches!
!
Directions for the Flipbook Reference Sheet
Arrange the two pages face-up, so that the arrows on the two pages align. The top page will be right-side up and the second page will be right-side down. Copy them back-to-back, and both pages will be right-side up.
The students should cut along the solid line and fold on the dotted lines, gluing the finished book in their journals. Students lift the left flap to see text that corresponds to the text on right flap, and vice versa.
!! ! ! ! ! ! ! ! !!!!
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!
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Growing & Shrinking!
!
! ! ! !!!
! ! ! !
…the!result!is!more!than!the!amount!you!began!with.!
!4!x!3!=!12!!!!12!>!4!
!!!"!x!8!=!3!
!!!!!!3!
!!!>!
!!"!
!!
…the!result!is!less!than!the!amount!you!began!with.!
!4!x!!!!=!2
!!!!!!2
!!!<!4!
!!!"!x!
!!!!=!!
!!"!!!!!
!!"!<!
!!"!
!
Multiplication!can!describe!“growing”.!
!
3!x!the!size!8!x!the!size!
!!
Multiplication!can!describe!“shrinking”.!
!
!!!!!x!the!size!!!!!!!x!the!size!!!
!
!
!
!
!
"! ! ! ! ! ! ! ! !!"!
! ! !
! ! !
! !
x 3 potion
x 8 potion
x potion
x potion !!!!!
!!!!!
Growing
shrinking
When!you!multiply!by!a!whole!number!greater!than!1…!
!
4!x!3!=!?!!
!!"!x!8!=!?!
When!you!multiply!by!a!fraction!less!
than!1…!!
4!x!!!!=!?!!
!!"!x!
!!!=!?!
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
!3! 4!
1! 2!!
After!Chompers!drinks!the!potion,!will!the!fish’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!
x 3 potion Braden’s!pet!fish!Chompers!is!4!inches!long.!!Chompers!drinks!the!“x!3”!sizing!potion.!!!!
!4!inches!!!x!!!3!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Olivia’s!kitten!Patches!weighs!!!!of!a!pound.!!!!Patches!drinks!the!!“x!5”!sizing!potion.!!!!
After!Patches!drinks!the!potion,!will!the!kitten’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!!!!!pound!!!!x!!!!5!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!
!
x 5 potion
Kelly’s!pet!snake!!Fang!is!8!inches!long.!!!!Fang!drinks!the!!
“x!!!!!”!sizing!potion.!!!!
After!Fang!drinks!the!potion,!will!the!snake’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!!*x potion
8!inches!!!!x!!!!!!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Hannah’s!gerbil!Fuzzball!weighs! !!"!of!a!pound.!!!!Fuzzball!drinks!the!!“x!4”!sizing!potion.!!!!
After!Fuzzball!drinks!the!potion,!will!the!gerbil’s!new!weight!be:!a)!greater!than!his!original!weight,!or!b)!less!than!his!original!length?!
x 4 potion
!!"!pounds!!!!x!!!!4!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
7! 8!
5! 6!
After!Speedy!drinks!the!potion,!will!the!turtle’s!new!height!be:!a)!greater!than!his!height!length,!
or!b)!less!than!his!original!height?!!
x potion Emma’s!pet!turtle!
Speedy!is!3!!!inches!tall.!!Speedy!drinks!the!!“x!!!!”!sizing!potion.!!!!
! 4!!!inches!!!x!!!!!!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!
Jacob’s!bird!Kiwi!weighs!!!!of!a!pound.!!!!Patches!drinks!the!!“x!!!!”!sizing!potion.!!!!
After!Kiwi!drinks!the!potion,!will!the!bird’s!new!weight!be:!a)!greater!than!her!original!weight,!
or!b)!less!than!her!original!weight?!
!!!!!pound!!!!x!!!
!!!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
!
!
Aidan’s!guinea!pig!Chester!weighs!1!!!lbs.!!!!Chester!drinks!the!!“x!6”!sizing!potion.!!!!
After!Chester!drinks!the!potion,!will!the!guinea!pig’s!new!weight!be:!a)!greater!than!his!original!weight,!or!b)!less!than!his!original!weight?!
x 6 potion
1!!!pounds!!!!x!!!!6!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Madison’s!pet!bird!Tweety!is!7!inches!tall.!!!!Tweety!drinks!the!!“x!2”!sizing!potion.!!!!
After!Tweety!drinks!the!potion,!will!the!bird’s!new!height!be:!a)!greater!than!his!original!height,!
or!b)!less!than!his!original!height?!
x 2 potion
7!inches!!!!!x!!!!2!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!
x potion !!*
!!*
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
!10!
11! 12!
9!
After!Sticky!drinks!the!potion,!will!the!lizard’s!new!weight!be:!a)!greater!than!her!original!weight,!or!b)!less!than!her!original!weight?!
!
x 7 potion Chloe’s!lizard!Sticky!weighs!!!!of!a!pound.!!Sticky!drinks!the!!“x!7”!sizing!potion.!!!!
! !!!of!a!pound!!!x!!!7!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Zack’s!puppy!Dribbles!weighs!6!pounds.!!!!Dribbles!drinks!the!!“x!!!!”!sizing!potion.!!!!
After!Dribbles!drinks!the!potion,!will!the!puppy’s!new!weight!be:!a)!greater!than!his!original!weight,!or!b)!less!than!his!original!weight?!
!
!6!pounds!!!!x!!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
!
!
Noah’s!hamster!!!Stripes!is!4!!!inches!!long.!!Stripes!drinks!!the!“x!3”!sizing!potion.!!!!
After!Stripes!drinks!the!potion,!will!the!hamster’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
4!!!inches!!!!x!!!!!3!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
x 3 potion
x potion !!*
x potion Taylor’s!pet!snake!!
Roxie!is!!!!of!a!yard!long.!!!!Roxie!drinks!the!!
“x! !!"!”!sizing!potion.!!!!
After!Roxie!drinks!the!potion,!will!the!snake’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!!!pounds!!!!x!!!!
!!"!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!!"*
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
13! 14!
16!15!
After!Sunshine!drinks!the!potion,!will!the!bird’s!new!weight!be:!a)!greater!than!her!original!weight,!or!b)!less!than!her!original!weight?!
!
Brianna’s!bird!Sunshine!weighs!!!!of!a!pound.!!Sunshine!drinks!!
the!“x!!!!”!sizing!potion.!!!!! !!!of!a!pound!!!x!!!
!!!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Alexis’s!kitten!Milo!!is!5!!!inches!long.!!!!Milo!drinks!the!!
“x!!!!”!sizing!potion.!!!!
After!Patches!drinks!the!potion,!will!the!kitten’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!
5!!!!inches!!!!x!!!!!!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!
!
Cameron’s!turtle!Boxley!is!6!inches!long.!!!!Boxley!drinks!the!!
“x!!1!!!”!sizing!potion.!!!!
After!Boxley!drinks!the!potion,!will!the!turtle’s!new!length!be:!a)!greater!than!his!original!length,!or!b)!less!than!his!original!length?!
6!inches!!!!x!!!!!1!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Austin’s!fish!Finley!!is! !!"!of!a!foot!long.!!!!Finley!drinks!!
“x!8”!sizing!potion.!!!!
After!Finley!drinks!the!potion,!will!the!fish’s!new!length!be:!a)!greater!than!his!original!length,!or!b)!less!than!his!original!length?!
x 8 potion
!!"!of!a!foot!!!!x!!!!8!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!!*
x potion x potion !!*
x 1 potion !!*
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
18!17!
20!199!
After!Chunky!drinks!the!potion,!will!the!gerbil’s!new!weight!be:!a)!greater!than!his!original!weight,!or!b)!less!than!his!original!weight?!
!
x 3 potion David’s!gerbil!Chunky!weighs!5!ounces.!!Chunky!drinks!the!!“x!3”!sizing!potion.!!!!
!5!ounces!!!x!!!3!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Mia’s!puppy!Clark!has!a!height!of!!7!!!inches.!!!!Clark!drinks!the!!
“x! !!"!”!sizing!potion.!!!!
After!Clark!drinks!the!potion,!will!the!puppy’s!new!height!be:!a)!greater!than!his!original!height,!or!b)!less!than!his!original!height?!
!
7!!!!inches!!!!x!!!!!!"!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!
!
!
Katherine’s!rabbit!!Hopper!is!6!inches!long.!!!!Hopper!drinks!the!!“x!!2!!!”!sizing!potion.!!!!
After!Hopper!drinks!the!potion,!will!the!rabbit’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!!*x potion
6!inches!!!!x!!!!!2 !!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Rachel’s!fish!Zoomer!is!3!!!inches!in!length.!!!!Zoomer!drinks!the!!“x!!!!”!sizing!potion.!!!!
After!Zoomer!drinks!the!potion,!will!the!fish’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
3!!!inches!!!!x!!!!!!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!!"*x potion
x 2 potion !!*
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
22!21!
24!23!
*
After!Shelley!drinks!the!potion,!will!the!turtle’s!new!weight!be:!a)!greater!than!her!original!weight,!or!b)!less!than!her!original!weight?!
!
x 6 potion Collin’s!turtle!Shelley!weighs!!!!of!a!pound.!!Shelley!drinks!the!“x!6”!
sizing!potion.!!!!! !!!of!a!pound!!!x!!!6!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Lily’s!ferret!George!!is!14!inches!long.!!!!George!drinks!the!!“x!!!!”!sizing!potion.!!!!
After!George!drinks!the!potion,!will!the!ferret’s!new!length!be:!a)!greater!than!his!original!length,!or!b)!less!than!his!original!length?!
!
14!inches!!!!x!!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!
!
Kyle’s!guinea!pig!!Precious!is!5!inches!long.!!!!Precious!drinks!the!“x!! !!"!”!sizing!potion.!!!!
After!Precious!drinks!the!potion,!will!the!guinea!pig’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!!*x potion
5!inches!!!!x!!!!! !!"!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Jake’s!kitten!Toto!weighs!!!!of!a!pound.!!!!Toto!drinks!the!!
“x!!!!”!sizing!potion.!!!!
After!Toto!drinks!the!potion,!will!the!kitten’s!new!weight!be:!a)!greater!than!his!original!weight,!or!b)!less!than!his!original!length?!
!!!of!a!pound!!!!x!!!
!!!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
!!*x potion
!!*x potion
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
26!25!
28!27!
*
After!Gizmo!drinks!the!potion,!will!the!snake’s!new!length!be:!a)!greater!than!his!original!length,!or!b)!less!than!his!original!length?!
!
Joseph’s!snake!Gizmo!is!17!inches!long.!!
Gizmo!drinks!the!“x!!!!”!sizing!potion.!!!!
!17!inches!!!x!!!!!!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Rebecca’s!bird!Mango!is!!!!of!a!foot!tall.!!!!Mango!drinks!the!!“x!3!!!”!sizing!potion.!!!!
After!Mango!drinks!the!potion,!will!the!bird’s!new!height!be:!a)!greater!than!her!original!height,!or!b)!less!than!her!original!height?!
!!!!!pound!!!!x!!!!3
!!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!height!
!
!
Caleb’s!puppy!Molly!weighs!6!!!pounds.!!!!Molly!drinks!the!!“x!2”!sizing!potion.!!!!
After!Molly!drinks!the!potion,!will!the!puppy’s!new!weight!be:!a)!greater!than!her!original!weight,!or!b)!less!than!her!original!weight?!
6!!!pounds!!!!x!!!2!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Abby’s!gerbil!Rascal!measures! !!"!of!a!foot.!!!!Rascal!drinks!the!!“x!5”!sizing!potion.!!!!
After!Rascal!drinks!the!potion,!will!the!gerbil’s!new!length!be:!a)!greater!than!his!original!length,!or!b)!less!than!his!original!length?!
x 5 potion
!!"!of!a!foot!!!!x!!!!5!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
x 3 potion !!*
!!*x potion
x 2 potion
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
30!29!
32!31!
After!Jester!drinks!the!potion,!will!the!ferret’s!new!weight!be:!a)!greater!than!her!original!weight,!or!b)!less!than!her!original!weight?!
!
McKenzie’s!ferret!Jester!weighs! !!"!of!a!kilogram.!!
Jester!drinks!the!!“x!!!!”!sizing!potion.!!!!
! !!"!kilograms!!!x!!!
!!!!!=!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
Jessica’s!fish!Bubbles!is!3!inches!long.!!!!Bubbles!drinks!the!!“x!!!!”!sizing!potion.!!!!
After!Bubbles!drinks!the!potion,!will!the!fish’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!
!3!inches!!!!x!!!!!!!=!!!!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
!
!
Luke’s!kitten!Dash!!is!6 !
!"!inches!long.!!Dash!drinks!the!!“x!4”!sizing!potion.!!!!
After!Dash!drinks!the!potion,!will!the!kitten’s!new!length!be:!a)!greater!than!her!original!length,!or!b)!less!than!her!original!length?!
!!*x potion
6 !!"!inches!!!!x!!!!4!!!!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!length!
Thomas’s!hamster!!Gonzo!weighs!!!!of!a!pound.!!!!Gonzo!drinks!!the!“x!!!!”!sizing!potion.!!!!
After!Gonzo!drinks!the!potion,!will!the!hamster’s!new!weight!be:!a)!greater!than!his!original!weight,!or!b)!less!than!his!original!length?!
x 4 potion
!!!pounds!!!!x!!!!
!!!=!!!!?!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!original!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!new!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!weight!
!!*x potion
!!*x potion
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
Cards!!1!d!4!!
Cards!9!d!12!!
Cards!13!d!16!!
Cards!!5!d!8!!
Card 9: ⓐ ● Card 10: ● ⓑ
Card 11: ● ⓑ !
Card 12:!ⓐ ● !!
ANSW ER S !Card 13: ⓐ ● Card 14: ⓐ ●
Card 15: ● ⓑ !
Card 16:!!● ⓑ !!
ANSW ER S !
Card 1: ● ⓑ Card 2: ⓐ ●
Card 3: ● ⓑ !
Card 4:! ● ⓑ !!
ANSW ER S !Card 5: ⓐ ● Card 6: ⓐ ●
Card 7: ● ⓑ !
Card 8:! ● ⓑ !!
ANSW ER S !
!
!!!!!!!!!!!!Created!by!Dennis!McDonald!
Cards!17!d!20!!
Cards!21!–!24!!
Cards!25!–!28!!
Cards!29!–!32!!
Card 17: ⓐ ● Card 18: ● ⓑ
Card 19: ● ⓑ !
Card 20:!!ⓐ ● !!
ANSW ER S !Card 21: ⓐ ● Card 22: ● ⓑ
Card 23: ⓐ ● !
Card 24:!!ⓐ ● !!
ANSW ER S !
Card 25: ● ⓑ Card 26: ⓐ ●
Card 27: ● ⓑ !
Card 28:!!● ⓑ !!
ANSW ER S !Card 29: ⓐ ● Card 30: ⓐ ⓑ
Card 31: ● ⓑ !
Card 32:!!ⓐ ● !!
ANSW ER S !
!
Growing(&(Shrinking(–!task!card!answer!sheet!(
Name: _____________________________ Date: _____________________
Growing & Shrinking Fill in each circle that matches a correct answer on the numbered card. !
CARD 1 – ⓐ ⓑ
CARD 2 – ⓐ ⓑ
CARD 3 – ⓐ ⓑ
CARD 4 – ⓐ ⓑ
CARD 5 – ⓐ ⓑ
CARD 6 – ⓐ ⓑ
CARD 7 – ⓐ ⓑ
CARD 8 – ⓐ ⓑ
CARD 9 – ⓐ ⓑ
CARD 10 – ⓐ ⓑ
CARD 11 – ⓐ ⓑ
CARD 12 – ⓐ ⓑ
CARD 13 – ⓐ ⓑ
CARD 14 – ⓐ ⓑ
CARD 15 – ⓐ ⓑ
CARD 16 – ⓐ ⓑ
CARD 17 – ⓐ ⓑ
CARD 18 – ⓐ ⓑ
CARD 19 – ⓐ ⓑ
CARD 20 – ⓐ ⓑ
CARD 21 – ⓐ ⓑ
CARD 22 – ⓐ ⓑ
CARD 23 – ⓐ ⓑ
CARD 24 – ⓐ ⓑ
CARD 25 – ⓐ ⓑ
CARD 26 – ⓐ ⓑ
CARD 27 – ⓐ ⓑ
CARD 28 – ⓐ ⓑ
CARD 29 – ⓐ ⓑ
CARD 30 – ⓐ ⓑ
CARD 31 – ⓐ ⓑ
CARD 32 – ⓐ ⓑ !
!
Growing(&(Shrinking(–!task!card!answer!sheet!key(
Growing & Shrinking ANSWER KEY
CARD 1 – ● ⓑ
CARD 2 – ● ⓑ
CARD 3 – ⓐ ●
CARD 4 – ● ⓑ
CARD 5 – ⓐ ●
CARD 6 – ⓐ ●
CARD 7 – ● ⓑ
CARD 8 – ● ⓑ
CARD 9 – ⓐ ●
CARD 10 – ● ⓑ
CARD 11 – ● ⓑ
CARD 12 – ⓐ ●
CARD 13 – ⓐ ●
CARD 14 – ⓐ ●
CARD 15 – ● ⓑ
CARD 16 – ● ⓑ
CARD 17 – ⓐ ●
CARD 18 – ● ⓑ
CARD 19 – ● ⓑ
CARD 20 – ⓐ ●
CARD 21 – ⓐ ●
CARD 22 – ● ⓑ
CARD 23 – ⓐ ●
CARD 24 – ⓐ ●
CARD 25 – ● ⓑ
CARD 26 – ⓐ ●
CARD 27 – ● ⓑ
CARD 28 – ● ⓑ
CARD 29 – ⓐ ●
CARD 30 – ⓐ ●
CARD 31 – ● ⓑ
CARD 32 – ⓐ ● !
!
Growing(&(Shrinking(–!activity!sheet!a!
NAME: ______________________________ DATE: ________________ Dr.!Von!Scalenstein,!the!mad!scientist,!created!sizing!potions!that!can!cause!objects!to!grow!or!shrink.!!Five!of!his!potions!are!shown!below.!!Label!each!potion!with!the!word!growing!or!shrinking!to!show!the!effect!of!the!potion.!!
!!!!!________________!!!!!!________________!!!!!________________!!!!!!________________! !!!!!________________!!
!!!!!!!!!potion! ! !!!!!!!potion!!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!!!!potion!!!Eight!of!the!doctor’s!potions!lost!their!labels.!!The!four!growing!potions!and!four!shrinking!potions!on!the!shelves!below!are!the!ones!that!lost!their!labels.!!!!Fill!in!the!labels!to!show!the!possible!effects!of!the!four!growing!and!shrinking!potions.!!!
x!!!!potion! x!1!!!potion! x!4!potion! x! !!"!potion!x!2!potion!
SHRINKING!POTIONS!
GROWING!POTIONS!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
!
Growing(&(Shrinking(–!activity!sheet!a!
Dr.!Von!Scalenstein!has!a!guinea!pig,!Furball,!that!weighs!!!!of!a!kilogram!(kg).!!There!are!6!different!sizing!potions!that!the!doctor!can!give!Furball!to!change!his!size.!!The!chart!lists!expressions!that!show!the!effect!of!each!of!the!potions.!!potion!A! potion!B! potion!C! potion!D! potion!E! potion!F!
34 !!kg##x!7!
34 !!kg##x#
56!
34 !!kg##x! 2!
34 !!kg##x! 4!
34 !!kg##x#
12!
34 !!kg##x#
25!
!Which!of!the!potions!will!cause!Furball!to!shrink?!!Place!a!!!next!to!all!that!apply.!!
____!potion!A! ! ! ____!potion!B! ! ! ____!potion!C!!
____!potion!D! ! ! ____!potion!E! ! ! ____!potion!F!!
!The!doctor!gave!his!dog!Waggles!the!potion!shown!to!the!!right.!!After!taking!the!potion,!Waggles!weighed!24!pounds.!!!What!was!his!weight!before!he!took!the!potion?!!!CIRCLE!ONE:!!!!!!!!!!!18!pounds!!! !32!pounds!!!Use!words,!numbers!and/or!symbols!to!explain!your!thinking.!!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________
x!!!!potion!
!
Growing(&(Shrinking(–!activity!sheet!b!
NAME: ______________________________ DATE: ________________ Dr.!Von!Scalenstein,!the!mad!scientist,!created!sizing!potions!that!can!cause!objects!to!grow!or!shrink.!!Five!of!his!potions!are!shown!below.!!Label!each!potion!with!the!word!growing!or!shrinking!to!show!the!effect!of!the!potion.!!
!!!!!________________!!!!!!________________!!!!!________________!!!!!!________________! !!!!!________________!!
!!!!!!!!!potion! ! !!!!!!!potion!!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!!!!potion!!!Eight!of!the!doctor’s!potions!lost!their!labels.!!The!four!growing!potions!and!four!shrinking!potions!on!the!shelves!below!are!the!ones!that!lost!their!labels.!!!!Fill!in!the!labels!to!show!the!possible!effects!of!the!four!growing!and!shrinking!potions.!!
x!3!potion! x!!!!potion! x!4!!!potion! x!5!potion! x!!!!potion!
SHRINKING!POTIONS!
GROWING!POTIONS!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
!
Growing(&(Shrinking(–!activity!sheet!b!
Dr.!Von!Scalenstein!has!a!hamster,!Snowy,!that!weighs! !!"!of!a!kilogram!(kg).!!There!are!6!different!sizing!potions!that!the!doctor!can!give!Snowy!to!change!his!size.!!The!chart!lists!expressions!that!show!the!effect!of!each!of!the!potions.!!potion!A! potion!B! potion!C! potion!D! potion!E! potion!F!
710 !kg##x#
25!
710 !kg##x!3!
710 !kg##x#
13!
710 !kg##x! 8!
710 !kg##x!5!
710 !kg##x#
49!
!Which!of!the!potions!will!cause!Snowy!to!shrink?!!Place!a!!!next!to!all!that!apply.!!
____!potion!A! ! ! ____!potion!B! ! ! ____!potion!C!!
____!potion!D! ! ! ____!potion!E! ! ! ____!potion!F!!
!The!doctor!gave!his!kitten!Toby!the!potion!shown!to!the!!right.!!After!taking!the!potion,!Toby!weighed!6!pounds.!!!What!was!his!weight!before!he!took!the!potion?!!!CIRCLE!ONE:!!!!!!!!!!!4!pounds!! ! !9!pounds!!!Use!words,!numbers!and/or!symbols!to!explain!your!thinking.!!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________
x!!!!potion!
!
Growing(&(Shrinking(–!activity!sheet!a(answer(key(
ACTIVITY SHEET A KEY !Dr.!Von!Scalenstein,!the!mad!scientist,!created!sizing!potions!that!can!cause!objects!to!grow!or!shrink.!!Five!of!his!potions!are!shown!below.!!Label!each!potion!with!the!word!growing!or!shrinking!to!show!the!effect!of!the!potion.!!
!!!!!________________!!!!!!________________!!!!!________________!!!!!!________________! !!!!!________________!!
!!!!!!!!!potion! ! !!!!!!!potion!!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!!!!potion!!!Eight!of!the!doctor’s!potions!lost!their!labels.!!The!four!growing!potions!and!three!shrinking!potions!on!the!shelves!below!are!the!ones!that!lost!their!labels.!!!!Fill!in!the!labels!to!show!the!possible!effects!of!the!four!growing!and!shrinking!potions.!!!
total!possible!points:!20!points!!
x!!!!potion! x!1!!!potion! x!4!potion! x! !!"!potion!x!2!potion!
shrinking shrinking growing growing growing
possible!points:!5!points!(+1!per!correct!answer)!!
SHRINKING!POTIONS!
GROWING!POTIONS!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
possible!points:!8!points!(+1!per!correct!answer)!!
Answers!will!vary.!!Any!number!that!is!greater!than!1!is!acceptable.!
!
Answers!will!vary.!!Any!number!that!is!less!than!1!is!acceptable.!
!
!
Growing(&(Shrinking(–!activity!sheet!a!answer(key(
Dr.!Von!Scalenstein!has!a!guinea!pig,!Furball,!that!weighs!!!!of!a!kilogram!(kg).!!There!are!6!different!sizing!potions!that!the!doctor!can!give!Furball!to!change!his!size.!!The!chart!lists!expressions!that!show!the!effect!of!each!of!the!potions.!!potion!A! potion!B! potion!C! potion!D! potion!E! potion!F!
34 !!kg##x!7!
34 !!kg##x#
56!
34 !!kg##x! 2!
34 !!kg##x! 4!
34 !!kg##x#
12!
34 !!kg##x#
25!
!Which!of!the!potions!will!cause!Furball!to!shrink?!!Place!a!!!next!to!all!that!apply.!!
____!potion!A! ! ! ____!potion!B! ! ! ____!potion!C!!
____!potion!D! ! ! ____!potion!E! ! ! ____!potion!F!!
!The!doctor!gave!his!dog!Waggles!the!potion!shown!to!the!!right.!!After!taking!the!potion,!Waggles!weighed!24!pounds.!!!What!was!his!weight!before!he!took!the!potion?!!!CIRCLE!ONE:!!!!!!!!!!!18!pounds!!! !32!pounds!!!Use!words,!numbers!and/or!symbols!to!explain!your!thinking.!!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!
x!!!!potion!
!
possible!points:!3!points!(+1!per!correct!answer,!–!½!for!each!incorrect!choice)!!
! !
possible!points:!1!point!!
possible!points:!3!points!(see(included(rubric)!!
!
Growing(&(Shrinking(–!activity!sheet!b!
ACTIVITY SHEET B KEY Dr.!Von!Scalenstein,!the!mad!scientist,!created!sizing!potions!that!can!cause!objects!to!grow!or!shrink.!!Five!of!his!potions!are!shown!below.!!Label!each!potion!with!the!word!growing!or!shrinking!to!show!the!effect!of!the!potion.!!
!!!!!________________!!!!!!________________!!!!!________________!!!!!!________________! !!!!!________________!!
!!!!!!!!!potion! ! !!!!!!!potion!!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!potion!!!!!!!!!!!!!!!!!!!!!!potion!!!Eight!of!the!doctor’s!potions!lost!their!labels.!!The!four!growing!potions!and!three!shrinking!potions!on!the!shelves!below!are!the!ones!that!lost!their!labels.!!!!Fill!in!the!labels!to!show!the!possible!effects!of!the!four!growing!and!shrinking!potions.!!
x!3!potion! x!!!!potion! x!4!!!potion! x!5!potion! x!!!!potion!
SHRINKING!POTIONS!
GROWING!POTIONS!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
x!!!!!!potion! x!!!!!!!potion! x!!!!!!potion!x!!!!!!potion!
total!possible!points:!20!points!!
growing growing shrinking growing shrinking
possible!points:!5!points!(+1!per!correct!answer)!!
possible!points:!8!points!(+1!per!correct!answer)!!
Answers!will!vary.!!Any!number!that!is!greater!than!1!is!acceptable.!
!
Answers!will!vary.!!Any!number!that!is!less!than!1!is!acceptable.!
!
!
Growing(&(Shrinking(–!activity!sheet!b!answer(key(
Dr.!Von!Scalenstein!has!a!hamster,!Snowy,!that!weighs! !!"!of!a!kilogram!(kg).!!There!are!6!different!sizing!potions!that!the!doctor!can!give!Snowy!to!change!his!size.!!The!chart!lists!expressions!that!show!the!effect!of!each!of!the!potions.!!potion!A! potion!B! potion!C! potion!D! potion!E! potion!F!
710 !kg##x#
25!
710 !kg##x!3!
710 !kg##x#
13!
710 !kg##x! 8!
710 !kg##x!5!
710 !kg##x#
49!
!Which!of!the!potions!will!cause!Snowy!to!shrink?!!Place!a!!!next!to!all!that!apply.!!
____!potion!A! ! ! ____!potion!B! ! ! ____!potion!C!!
____!potion!D! ! ! ____!potion!E! ! ! ____!potion!F!!
!The!doctor!gave!his!kitten!Toby!the!potion!shown!to!the!!right.!!After!taking!the!potion,!Toby!weighed!6!pounds.!!!What!was!his!weight!before!he!took!the!potion?!!!CIRCLE!ONE:!!!!!!!!!!!4!pounds!! ! !9!pounds!!!Use!words,!numbers!and/or!symbols!to!explain!your!thinking.!!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!!_______________________________________________________________________________________________!
x!!!!potion!
!
possible!points:!3!points!(+1!per!correct!answer,!–!½!for!each!incorrect!choice)!!
! !
possible!points:!1!point!!
possible!points:!3!points!(see(included(rubric)!!
!
Growing(&(Shrinking(–!written!response!rubric(
The second two activity sheets require students to explain their thinking in writing. When grading such responses, I typically use a 3-point scale to rate students on the understanding of the concept addressed by the task. Below are general descriptions of each level of the scale, followed by more specific descriptors for each of the two writing prompts that may guide you when scoring Activity Sheets A & B.
GENERAL MATH RUBRIC 3 points: answer shows full or advanced understanding of the effect of multiplying a number by a fraction, with student giving a clear and complete explanation of his or her thinking; student’s answer uses specific language (i.e., examples, numbers, vocabulary) and does not require the scorer to make any inferences about the student’s thinking
2 points: answer shows satisfactory or proficient understanding of the effect of multiplying a number by a fraction, meeting most of the criteria listed above
1 point: answer shows limited or developing understanding of the effect of multiplying a number by a fraction, meeting some of the criteria listed above
0 points: answer shows little to no understanding of the effect of multiplying a number by a fraction Activity Sheet A
For this response, students should explain that any number multiplied by ¾ will result in a number smaller than the original number. If Waggles took a potion that multiplied his weight by ¾ and ended up weighing 24 pounds, he must have weighed MORE than 24 pounds before he drank the potion.
Activity Sheet B
For this response, students should explain that any number multiplied by 2/3 will result in a number smaller than the original number. If Toby took a potion that multiplied his weight by2/3 and ended up weighing 6 pounds, he must have weighed MORE than 6 pounds before he drank the potion.!