2.1 Connecting the Dots: Piggies and...

SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.1

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2.1 Connecting the Dots: Piggies and Pools

A Develop Understanding Task

1. Mylittlesister,Savannah,isthreeyearsold.Shehasapiggybankthatshewantstofill.She

startedwithfivepenniesandeachdaywhenIcomehomefromschool,sheisexcitedwhenIgiveherthreepenniesthatareleftoverfrommylunchmoney.Useatable,agraph,andanequationtocreateamathematicalmodelforthenumberofpenniesinthepiggybankondayn.

2. Ourfamilyhasasmallpoolforrelaxinginthesummerthatholds1500gallonsofwater.Idecidedtofillthepoolforthesummer.WhenIhad5gallonsofwaterinthepool,IdecidedthatIdidn’twanttostandoutsideandwatchthepoolfill,soIhadtofigureouthowlongitwouldtakesothatIcouldleave,butcomebacktoturnoffthewaterattherighttime.Icheckedtheflowonthehoseandfoundthatitwasfillingthepoolatarateof2gallonseveryminute.Useatable,agraph,andanequationtocreateamathematicalmodelforthenumberofgallonsofwaterinthepoolattminutes.

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.1

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

3. I’mmoresophisticatedthanmylittlesistersoIsavemymoneyinabankaccountthatpaysme3%interestonthemoneyintheaccountattheendofeachmonth.(IfItakemymoneyoutbeforetheendofthemonth,Idon’tearnanyinterestforthemonth.)Istartedtheaccountwith$50thatIgotformybirthday.Useatable,agraph,andanequationtocreateamathematicalmodeloftheamountofmoneyIwillhaveintheaccountaftermmonths.

4. Attheendofthesummer,Idecidetodrainthe1500gallonswimmingpool.Inoticedthatitdrainsfasterwhenthereismorewaterinthepool.Thatwasinterestingtome,soIdecidedtomeasuretherateatwhichitdrains.Ifoundthat3%wasdrainingoutofthepooleveryminute.Useatable,agraph,andanequationtocreateamathematicalmodelofthegallonsofwaterinthepoolattminutes.

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.1

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

5. Compareproblems1and3.Whatsimilaritiesdoyousee?Whatdifferencesdoyounotice?

6. Compareproblems1and2.Whatsimilaritiesdoyousee?Whatdifferencesdoyounotice?

7. Compareproblems3and4.Whatsimilaritiesdoyousee?Whatdifferencesdoyounotice?

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