2.1 connecting the dots: piggies and...
TRANSCRIPT
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
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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