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21st Century Math Projects

Project Title : CSI Algebra: Real NumbersStandard Focus : Number, Number Sense, andOperationsTime Range : 1-3 DaysSupplies : Pencil and PaperTopics of Focus :-Square root approximation-Decimal, fraction, percent, conversion-Scientific Notation-The Real Number System-Perfect SquaresThis particular was mapped to the curriculum in Glencoe Algebra 1 Chapter 2 and can be used as anenrichment or review activity.Expressions andEquations6.EE2d. Perform arithmetic operations, including those involving whole numberexponents, in the conventional order when there are no parentheses tospecify a particular order (Order of Operations).The NumberSystem7.NS2. Apply and extend previous understandings of multiplication and divisionand of fractions to multiply and divide rational numbers.The NumberSystem7.NS3. Solve real-world and mathematical problems involving the four operationswith rational numbers.The NumberSystem8.NS1. Understand informally that every number has a decimal expansion; therational numbers are those with decimal expansions that terminate in 0s oreventually repeat. Know that other numbers are called irrational.The NumberSystem8.NS2. Use rational approximations of irrational numbers to compare the size ofirrational numbers, locate them approximately on a number line diagram,and estimate the value of expressions (e.g., π2).8.EE2. Use square root and cube root symbols to represent solutions toequations of the form x2 p and x3 p, where p is a positive rationalnumber. Evaluate square roots of small perfect squares and cube roots ofsmall perfect cubes. Know that 2 is irrational.Expressions andEquationsProcedures:A.) Student will be given the letter from Chief Harris, the possible suspects, and crime scene puzzles.B.) Students will work in pairs or individually to solve the crime. 21st Century Math Projects

C.) Students will determine which suspect should be arrested.D.) Students will create a portfolio of evidence proving that they have arrested the right person and willdemonstrate their understanding of their mathematical content present in the problem.*E.) Students can present their evidence to the class as an oral presentation.*Extensions 21st Century Math Projects

CSI Algebra: Real NumbersDetectives,A thief, working under the alias Guapo Arcsin, has caused a ruckus all throughout Central America. It isbelieved that Guapo is a member of the evil genius group, the Mathemagicians. From what thedetectives have gathered thus far from the previous thefts, the Mathemagicians are building a worldconquering device.Fortunately, Guapo has left behind a trail of notes and a cryptic text messagethat he has told us will calculate toward his favorite number. Thus far there aresix suspects that police have questioned. It is hoped that someone with arelatively strong number sense can crack some codes that have puzzled thedetectives on the case so far.Your job is to bring Guapo to justice and save the planet. Since you are beingbrought in as a specialist you have to have definitive proof in order for any arrestto hold up in court.You need to be prepared to state your case and demonstrate your understandingof the following skills that Guapo is known to use in her/his notes.-Square root approximation-Decimal, fraction, percent, conversion-Scientific Notation-The Real Number SystemBe sure to include:-Other examples of the concepts-Definitions-Any other relevant information.This is not a time to be sloppy. The slightest miscalculation or illegible footnote could result in a notguilty verdict.Oh, did I mention that use of a calculator might prematurely set off his world conquering device? Goodluck to you, gumshoe.Chief Harris 21st Century Math Projects

CSI: The EvidenceName:1.Clue2.Clue3.Clue 21st Century Math Projects

4.Clue5.Clue6.ClueCryptic Text MessageSuspect 21st Century Math Projects

Who is Guapo Arcsin?Name: StillmanName: CharmelleOccupation: CollegeStudentOccupation: MechanicalEngineerFavorite Number: -7Favorite Number:Name: HiramName: LoganOccupation: DoctorOccupation: PoliticianFavorite Number: 6Favorite Number : 13Name: PedroName: EdenOccupation: Fire FighterOccupation: OrganicFood GrowerFavorite Number: ½ Favorite Number: 0 21st Century Math Projects

Scene #1Machu Picchu - PeruAt about 12:24, Guapo Arcsin broke into the famous Incan ruins and stole an Intihuatana stone.The Intihuatana is a ritual South American stone used to tell time.Hello Peru Peeps and Police,To let you know upfront, I plan on conquering the world. Okay,now that I have your attention, I figure I’ll give you a fightingchance to stop me. MuHahahahahaha. If found this riddle carvedinto an Incan temple.Figure out a number that fits all three of these criteria.1.A is a WHOLE NUMBER2.A is a two digit perfect square3.A -7 Please be aware I will later send you a CRYPTIC PUZZLE SOLVER TEXT MESSAGE.A Sincerely Yours,Guapo ArcsinScene #2Mayan Ruins -- MexicoFour rare, limestone cornerstones were extracted from the ruins of a Mayan ceremonial platform.These stones could perhaps lay the foundation for a devastating world conquering device.My Dearest,Since I haven’t been captured yet, I’ve been thinking about running for Congress!I’ll make the next one an easy one. I have run three different opinion polls.Which one is the best?G.11 out of every 20 voters is expected to vote for me!ñ.The percentage of voters that are expected to vote for me is 54%!P.There are 240,000 expected to vote, and of these, 130,000 are expected to vote for me!This letter -6 -6 21st Century Math Projects

Scene #3Andes Mountains -- ColombiaThursday night, Guapo Arcsin traversed the mountains and shaved two dozen alpacas. Whileit’s unclear what he plans to do with the wool, there are now many cold and confused alpacas.He carved this note into the mountain.Greetings Police Officer,I see that my first puzzle has befuddled even the best of you. I’ve made the nextone even harder. Remember my World Conquering Device will go off at the touchof a calculator.1.)Q is a RATIONAL NUMBERQ 2.)Give up yet? Your Friend,Guapo Arcsin3.)Scene #4Panama Canal -- PanamaAn oiler tanker ship was reported missing from the canal. Apparently the captain decided to go ashoreto eat a sandwich and was shocked to find this note in place of his boat.To Whom It May Concern,I’m sure you are thoroughly confused by now. Hopefully you don’t arrest thewrong person!1.A the denominator of 125/1000 when it is written in lowest terms.2.B the number of minutes in a day divided by 360.3. 4.Mystery Letter Approximation of 4AG5Mystery Letter 32Qon the number line.W6ñY7B 32 21st Century Math Projects

Scene #5St. Cecilia Acatitlan -- MexicoAn unknown amount of rubble and multiple Aztec jade masks depicting various gods werestolen. Guapo has successfully robbed the Aztec, Incans, and Mayans. It’s unknown what he’scapable of he must be stopped quick.What’s Good,I’m getting bored. I decided to make some of my own wall art.Which point most accurately represents CLA10UC?LU1211S13Which point most accurately represents your previous answer.(HINT: C 3, A 1, L 12 etc.)M3? UseA4T5H6Which point most accurately represents QUA-1?DRA0TIC21Which point most accurately represents P-3ñQ?G-2W-1S0Round your last answer to the nearest integer and you might have figured out me out.Final Letter Rounded Answer We will be deploying our device soon. Good luck.Happy Holidays,Guapo Arcsin 21st Century Math Projects

Scene #6Museo Nacional de Antropologia – Mexico CityThree rare, blind Egyptian six legged mice were stolen from the National Museum of Anthropology.We suspect Guapo Arcsin will be using their abnormal DNA as part of his World Conquering Device.Hola,Como estas? Muy bien gracias. I’m liking this Spanishness! I want to play some futbol!Elegir la respuesta con los números en orden de menor a mayor.½½½ñ El numéro de letras en la palabra es la respuesta.ñ Adios Amigos,Señor Guapo ArcsinCRYPTIC PUZZLE SOLVER TEXT MESSAGEomg u arent gonna figure this out mynum is perfect(ñ-Qñ) (G/P) - (SQRT(A-W)) - 3Qñrofl Guapo Too Slick Arcsin 21st Century Math Projects

Thank you for being my Math Friend!If you liked this21st Century Math ProjectYou might like others.(Click the logo)Math it Up.Boomdiggy. 21st Century Math Projects

Who is Guapo Arcsin?Name: StillmanName: CharmelleOccupation: CollegeStudentOccupation: MechanicalEngineerFavorite Number: -7Favorite Number:Name: HiramName: LoganOccupation: DoctorOccupation: PoliticianFavorite Number: 6Favorite Number : 13Name: PedroName: EdenOccupation: Fire FighterOccupation: OrganicFood GrowerFavorite Number: ½ Favorite Number: 0 21st Century Math Projects

Scene #1Machu Picchu - PeruAt about 12:24, Guapo Arcsin broke into the famous Incan ruins and stole an Intihuatana stone.The Intihuatana is a ritual South American stone used to tell time.Hello Peru Peeps and Police,To let you know upfront, I plan on conquering the world. Okay,now that I have your attention, I figure I’ll give you a fightingchance to stop me. MuHahahahahaha. If found this riddle carvedinto an Incan temple.Figure out a number that fits all three of these criteria.1.A is a WHOLE NUMBER {0,1,2,3,4 }2.A is a two digit perfect square {16, 25, 36, }3.A -7 A 7 64 A 71 A must be 81 to fulfill the two prior conditions . A 81 Will be used in the text message.Please be aware I will later send you a CRYPTIC PUZZLE SOLVER TEXT MESSAGE.A 81Sincerely Yours,Scene #2Mayan Ruins -- MexicoFour rare, limestone cornerstones were extracted from the ruins of a Mayan ceremonial platform.These stones could perhaps lay the foundation for a devastating world conquering device.My Dearest,Since I haven’t been captured yet, I’ve been thinking about running for Congress!I’ll make the next one an easy one. I have run three different opinion polls.Which one is the best?G.11 out of every 20 voters is expected to vote for me! 55%ñ.The percentage of voters that are expected to vote for me is 54%!P.There are 240,000 expected to vote, and of these, 130,000 130,000 / 240,000 54.167%This letter -6G -6 21st Century Math Projects

Scene #3Andes Mountains -- ColombiaThursday night, Guapo Arcsin traversed the mountains and shaved two dozen alpacas. Whileit’s unclear what he plans to do with the wool, there are now many cold and confused alpacas.He carved this note into the mountain.Q is a fractionGreetings Police Officer,X 4.2/1.4 * 10 5 / 10 3I see that my first puzzle has befuddled even the best of you. I’ve made the nextone even harder. Remember my World ConqueringDevice will go off at the touchX 300of a calculator.60/300 - 1/5 Q , Q goes into thetext message1.)Q is a RATIONAL NUMBERQ 2.)Give up yet? Your Friend,Guapo Arcsin3.)Scene #4Panama Canal -- PanamaAn oiler tanker ship was reported missing from the canal. Apparently the captain decided to go ashoreto eat a sandwich and was shocked to find this note in place of his boat.To Whom It May Concern,I’m sure you are thoroughly confused by now. Hopefully you don’t arrest thewrong person!1.A the denominator of 125/1000 when it is written in lowest terms. 1/8 - x 82.B the number of minutes in a day divided by 360. 24*60 / 360 43. 4.Mystery Letter Approximation of 4ASQRT(8*4) SQRT(32) WGMystery Letter 325Qon the number line.W6wñY7B 32 21st Century Math Projects