Growing and Shrinking task cards ·...

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!

free!to!email!me!at!dmcdonald@hcpss.org!!!Thanks!

3!inches!

15!inches!

!!"!!inches! 1!!!!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!

15!inches!

!!"!!inches! 1!!!!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.

!! ! ! ! ! ! ! ! !!!!

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!

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 !!*

11! 12!

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!

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 !!*

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 !!*

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

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

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

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 !

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!

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#

34 !!kg##x! 2!

34 !!kg##x! 4!

34 !!kg##x#

!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!

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#

710 !kg##x!3!

710 !kg##x#

710 !kg##x! 8!

710 !kg##x!5!

710 !kg##x#

!Which!of!the!potions!will!cause!Snowy!to!shrink?!!Place!a!!!next!to!all!that!apply.!!

!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!

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#

34 !!kg##x! 2!

34 !!kg##x! 4!

34 !!kg##x#

!Which!of!the!potions!will!cause!Furball!to!shrink?!!Place!a!!!next!to!all!that!apply.!!

!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)!!

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!

total!possible!points:!20!points!!

growing growing shrinking growing shrinking

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#

710 !kg##x!3!

710 !kg##x#

710 !kg##x! 8!

710 !kg##x!5!

710 !kg##x#

!Which!of!the!potions!will!cause!Snowy!to!shrink?!!Place!a!!!next!to!all!that!apply.!!

!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.!

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