CSI: Algebra - Ms. Balgie's Math Website

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CSI: AlgebraQuick Start GuideUnit1234TopicWorld RegionVariables & ExpressionsAustraliaQuick PrintPage #sp. 4-10(Mapped to Glencoe Ch 1) Order of Operations, Translating Verbal andAlgebraic Expressions, Open Sentences, Distributing, Combining Like TermsReal NumbersLatin Americap. 11-17(Mapped to Glencoe Ch 2) Square root approximation, Decimal-fraction-percentconversion, Scientific Notation, The Real Number System, Perfect SquaresSolving EquationsMiddle Eastp. 18-24(Mapped to Glencoe Ch 3) Translating Verbal & Algebraic Equations, Solvingdifferent equation types, Using FormulasRelations & FunctionsEuropep. 25-32(Mapped to Glencoe Ch 4) Coordinate Planes, Domain & Range, Inverses,Patterns & Arithmetic SequencesLinesChinap. 33-395(Mapped to Glencoe Ch 5) Slope & Rates of Change, Calculating, graphing andinterpreting lines, Parallel and Perpendicular lines6(Mapped to Glencoe Ch 6) Solving & Graphing Inequalities, CompoundInequalities, Solving Absolute Value Equations7(Mapped to Glencoe Ch 7) Solving Systems with Elimination, Substitution andGraphing, Graphing Systems of Inequalities8Inequalities & Absolute ValueSystems of EquationsPolynomialsAfricaJapanp. 40-46p. 47-53p. 54-60(Mapped to Glencoe Ch 8) Operations on Monomials, Operations withPolynomials, Scientific NotationFactoring & Quadratics9ScandinaviaUnited Statesp. 61-67(Mapped to elements Glencoe Ch 9 & 10) Factoring (GCF, Distributive Property,trinomials), Quadratic Formula, Graphing and interpreting parabolic graphs 21st Century Math Projects

CSI Algebra: Variables &ExpressionsDetectives,As you know we are after a group of international evil geniuses, the Mathemagicians. Our evidenceindicates they have plans to build a world conquering device – to conquer the world. It seems that oneof the anonymous henchmen, Otto Pemdas, has committed a string of robberies all over Australia. Wefear  this  is  another  step  in  the  Mathemagician’s  attempt  to  build  a  world  conquering  device.Fortunately, the Mathemagicians are arrogant about their work and havea reputation for leaving behind a trail of notes and a cryptic text message.The   text   message  when  substituted  correctly  will  calculate  to  the  Otto’sfavorite number. So far there are six suspects that police havequestioned. It is hoped that someone with a relatively strong numbersense can crack some codes that have puzzled the detectives on the caseso far.Your job is to bring Otto Pemdas to justice and save the planet. You needto be prepared to state your case and demonstrate your understanding ofthe following skills that Otto is known to use in the notes.-Order of Operations-Translating Verbal and Algebraic Expressions-Open Sentences-Distribution-Combining Like TermsBe 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 conqueringdevice? Good luck to you, gumshoe.Chief Harris 21st Century Math Projects

Who is Otto Pemdas?Name: BiancaName: RandalOccupation: BakerOccupation:DentistFavorite Number: 3Favorite Number:-8Name: DonnieName: SueOccupation:Factory SupervisorOccupation:CorrectionsOfficerFavorite Number:62Favorite Number:44Name: AlexName: StuOccupation:PoliticianOccupation: ChefFavorite Number:98Favorite Number:24 21st Century Math Projects

Scene #1Sydney Opera House -- New South WalesLast night, Otto Pemdas broke into the Opera House and stole three parabolic shell ribs from theunique roof. Since he moves at ninja-like speed, the security cameras missed everything, but heleft this note.G’Day  Police  Officers  of  Australia,To let you know upfront, the Mathemagiciansplan on conquering the world. Okay, now that Ihave   your   attention,   I   figure   I’ll   give   you   afighting chance to stop us. MuHahahahahaha.x # of sides on a triangleStart Herey # of femurs an average man has𝑊 2𝑥 𝑦𝑧E a (b w) – x (y – z)z # of syllables in integration𝐴 4𝑥 𝑤𝑥𝑧B (x2 z2) – a w - yzE Scene #2The Dingo Steakhouse –- Western AustraliaAt a five-star restaurant just outside of Perth, a waitress stumbled upon this note on the back of thereceipt.  It  was  later  discovered  that  the  restaurant’s  signature  sauce  was  missing.To celebrate our thefts, I took the whole Pemdas family out for a nativethree-course meal.In all there was one family-sized BBQ Shrimp that cost 40, 5 grilledkangaroo legs that cost 18.50 each, 2 alligator burgers that cost 24 apiece, 7 drinks that cost 2.50 each, and 7 quadruple chocolate pavlova at 11.49 a pop. For their wonderful service, I’ve tipped the waiter 0.57 AUD!I paid with a recently stolen 300 AUD. How much change did I get? This answer will beequal to . 21st Century Math Projects

Scene #3Great Barrier Reef -- QueenslandA cruise ship captain was stunned to find the following note plastered to the inside of his personalbathroom. A few guests believed they saw a stealth helicopter drop in during the middle of the night.G’Dafternoon Mate! When everyone was asleep, I stole a dolphin right out of thereef. It was pretty easy too. Just for kicks, this might help you find me.Find the solution set of each of the five problems using the replacement set:Flipper {-40, -13.5, -5, 0, ½ , 5, 300}1.)4.)x 3 2 – 72x (9 2 )(6 4)2.)x2 30 – 55.)10 – x 73.)x -10Take a good long look at thesolution  sets there’s   an   unused   object   in   theset Flipper. F is this number.F Scene #4Aboriginal Museum in the Outback –- South AustraliaThe curator of an Aboriginal Museum was stunned to find one of the most-prized hollowed log coffinswas stolen. The log coffin, of a noted Aboriginal poet, supposedly has mystical powers.The Outback sure is beautiful in the spring.Aboriginal villages, marvelous rock painting, cacti,and   stealing   more   stuff.  Here’s   a  little   map   puzzleof my journey. Oh, g -1 miles and h 4 miles.If  you  find  the  total  distance  of  the  path,  you’ll  findits magic number. 51 milesɸ 53 milesE 55 miles@ 57 miles 21st Century Math Projects

Scene #5Melbourne Cricket Ground -- VictoriaAfter the Aussie Rules Football match between rivals the Demons and Eagles, a security officerdiscovered  the  world’s  oldest  football  was  stolen  from  the  museum.    While  it’s  unsure how Ottoplans to use it, the football was made out of an inflated pig bladder. Later he found this note.FUMBLE. You shoulda been watching your ball. The coach has drawn up acomplicated  play.  I’m  not  even  sure  he  knows  what  it  is.MYSTERY EXPRESSION GAME!!!!!i.Twice xAnswer I:ii.9 less than the Answer IAnswer II:iii.The sum of Answer II andthe product of 5 and tAnswer III:iv.Answer III decreased bytwo-fifths the cube ofanother numberAnswer IV:v.Half of Answer IVAnswer V:ANSWER V is E2(9 2𝑥 5𝑡)   𝑛52 2(9 2𝑥 5𝑡)   𝑛52The correct answer -2ɸ2(2𝑥 9 5𝑡)   𝑛52@2(2𝑥 9 5𝑡)   𝑛52 -2 21st Century Math Projects

Scene #6Television Studio –- New South WalesAfter a Bindi Irwin television taping, this note was found outside the studio. Otto is suspected ofstealing  a  number  of  Bindi  Irwin  DVDs.  It’s  unclear  whether  the  DVDs  are  related  to  the  worldconquering device or if Otto is just a big Bindi Irwin fan.G’Daft night. I guess you aren’t hot on my trail as it seems I can enjoy a really greattelevision taping of “The Bindi Show” without worry. I had some extra time for thispuzzle. I’m sure you won’t figure it out. Whatis V?V 36a (a – c) – 24c(2a – 3c) 2a( -2( 3a c))v So you were actually able to distribute and combine like terms. Whoopdidoo. Too bad that doesn’t tell youthe value of V. Here’s the values fora and c -- I even did it for you. UNLESS I’M LYING.4 3 3 4 73 (1 5) (3 1) 5 is an example of the9ais an example of thessociative propertycommutative propertySo a 7 and c 9HAHAHAHAHA see I just gave you to values!Or did I? MUHAHAHAHA. Better figure it out quickbefore  you  plug  them  in  to  find  V.  I’d  surely  hate  if  you  did it wrong.CRYPTIC PUZZLE SOLVER TEXT MESSAGElol c if u can solve this. u need sum variables.( ɸ V) FE - @ L8r, Otto Pemdas 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

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: ½Favorite 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 NUMBER2.)𝑥 Q (2.4 10 ) (1.8 10 )(1.4 10 )Give up yet? Your Friend,Guapo Arcsin60 𝑄𝑥3.)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. 𝐴𝐵4.Mystery Letter Approximation of 𝐴𝐵 on the number line.4AG5Mystery Letter 32QW6ñY7B 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 168 ?CLA10UCL1211Which point most accurately representsyour previous answer.S13(𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑙𝑒𝑡𝑡𝑒𝑟 𝑖𝑛 𝑡ℎ𝑒 𝑎𝑙𝑝ℎ𝑎𝑏𝑒𝑡)? Use(HINT: C 3, A 1, L 12 etc.)M3UA4T5H6Which point most accurately represents   (𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑙𝑒𝑡𝑡𝑒𝑟 𝑖𝑛 𝑡ℎ𝑒 𝑎𝑙𝑝ℎ𝑎𝑏𝑒𝑡) 6 ?QUA-1-3RA0Which point most accurately representsPDñQTIC21(𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑙𝑒𝑡𝑡𝑒𝑟 𝑖𝑛 𝑡ℎ𝑒 𝑎𝑙𝑝ℎ𝑎𝑏𝑒𝑡)   5 ?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.Adios Amigos,ñ 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

CSI Algebra: Solving EquationsDetectives,Once again the world has been rocked by a string of high profile robberies. This time it seems theMiddle  East  has  been  victim  of  the  evil  genius  group,  the  Mathemagicians.  Notes  signed  “Kareem  AlJabr”  have  been  discovered at each of the robbery sites. Once again a cryptic text message was sent,but requires the puzzles to be cracked. We believe the Mathemagicians have been successfully piecingtogether a world conquering device.Again   we’ve   been   told   the   result   of   the   cryptic text message willcalculate to Al-Jabr’s   favorite   number. Thus far there are sixsuspects that police have questioned. It is hoped that someonewith a relatively strong number sense can crack some codes thathave puzzled the detectives on the case so far.Your job is to bring Al-Jabr to justice and save the planet. You needto be prepared to state your case and demonstrate yourunderstanding of the following skills that Al-Jabr is known to use inthe notes.-Translating equations-Solving equations-Using FormulasBe 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

Who is Kareem Al-Jabr?Name: BaoName: TrishOccupation:Insurance AgentOccupation:LawyerFavorite Number:-20Favorite Number:0Name: ChloeName: EugeneOccupation: HighSchool TeacherOccupation:MusicianFavorite Number: 97Favorite Number:¼Name: DarrylName: te Number:9FavoriteNumber: -210 21st Century Math Projects

Scene #1Egyptian Museum -- CairoIn the middle of the night, Kareem Al-Jabr softly repelled into the heavily alarmed securitysystem. Al-Jabr most definitely has soft feet and great swag. He left with hundreds of coinsfrom the ancient world.These coins look really really old.I’ll   be   sellin   these   on eBay checkout my listings @WorldlySwagg14.I’m  about  to  knock over the homeof Algebra! Come enjoy the ridewith me?g Scene #2National Museum of Iraq – Baghdad, IraqA  baked  clay  tablet  with  Hammaurabi’s  Code  was  found  astray  this  morning.  It  appears  Kareem  Al-Jabrwas attempting to translate the document.While my Akkadian is a little rusty, my swagg tells me rule 204 says,“what   you   do   to   one   side   you   better   do   to   theother  side.  Otherwise  your  hand  will  be  cut  off.”i.3k – 5 7k – 33ii. 28 – 2.2x 11.6x – 54.8iv. k Vf x Viii. 8f 12 7f 9V 21st Century Math Projects

Scene #3Ancient Babylon -- IraqEtched into the grounds of Babylon, Kareem Al-Jabr left the this note.  It’s  suspected  he   usedBabylonian numerals.I was going to etch this a few spots over, but it seemsthe US military built a helipad in Babylon. Good thingit’s  not  an  ancient  civilization  that  should  be  cherishedforever. Well at least they didn’t  crush  the  ground  withtheir tanks. Oh wait, are those tank tracks?See if you can solve this puzzle from the ruins. 21st Century Math Projects

Scene #4The Great Pyramids –- Giza, EgyptKareem Al-Jabr snuck past Pyramid Security at an unspecified time. While we are unsurewhat he stole, we are in the process of taking inventory of all the mummies.Hmmm so sure the algebra stuff isn’t that hard, letsee if you can handle some swagg-rific geometry.The volume of the pyramid is 18,069,333.33333cubits3How tall is it? I’ll be a nice person. Here’s theformula for the volume of a pyramid: V (1/3)lwh(Round your answer to the nearest whole number)h Scene #5Sphinx –- Giza, EgyptWe suspect after his robbery at the pyramid, Al-Jabr went outside, ate a picnic lunch, and climbed theSphinx. Our research team suspects, Al-Jabr stole a limestone  fragment  of  the  Sphinx’s  beard.I   so   stole   a   piece   of   that   dude’s   beard.   Check   this   out,   here’s   some   good   ol’Egyptian math right off the Rhind Papyrus! I stole that too!Problem 44.The sum of A certain  quantity  “p”  togetherwith its two-third, And its half becomes 234.What  is  the  quantity  “p”?p 21st Century Math Projects

Scene #6Nile River Cruise –- Alexandria, EgyptAfter the pair of robberies at Giza, Al-Jabr hopped on a Nile River cruise. He stole a dangerousamount of shampoo.Livin it up on the Nile. Gotta go get my swaggilicious self on the dance floor. Check outthese two receipts – I had to pay with Egyptian Pounds after my Swaggcard got denied.What a coincidence? Both receiptstotaled to the same amount X. Ireally wish I knew how much aDu’aah cost. They were yummy.œ CRYPTIC PUZZLE SOLVER TEXT MESSAGEcheck dis out. You dont got no chance.(h – p) (9g ) œ – (pv) gKareem Master of Swagg Al-Jabr 21st Century Math Projects

CSI Algebra:Relations, Functions & PatternsDetectives,The evil genius group, the Mathemagicians, have taken a European vacation. Indications are that theyare behind a number of robberies across the continent and they are making progress in theconstruction of a world conquering device. Notes have been found at each site and have been signed“The   Diophantus   of   the   Opera”.   Through   our   intelligence   we’ve   determined   this   individual   is   a   highranking member of the group.Once again we have received a cryptic text message andwe’ve   been   told   the   result   will   calculate   to   theDiophantus’s   favorite   number.   Thus far there are sixsuspects that police have questioned. It is hoped thatsomeone with a relatively strong number sense andspatial reasoning skills can crack some codes that havepuzzled the detectives on the case so far.Your job is to bring the Diophantus of the Opera tojustice and save the planet. Since you are being broughtin as a specialist you have to have definitive proof in order for any arrest to hold up in court. You needto be prepared to state your case and demonstrate your understanding of the following skills that theDiophantus is known to use in the notes.-Coordinate Planes-Domain & Range-Patterns & Arithmetic SequencesBe 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 conqueringdevice? Good luck to you, gumshoe.Chief Harris 21st Century Math Projects

Who is the Diophantus of the Opera?Name: HaileyName: VernonOccupation: Panini MakerOccupation: NetworkAdministratorFavorite Number : 99Favorite Number : -10Name: JeffName: OwenOccupation: BloggerOccupation: GraphicDesignerFavorite Number: πFavorite Number : 1Name: JessicaName: RishiOccupation: MusicianOccupation: AppDeveloperFavorite Number: φFavorite Number: 19 21st Century Math Projects

Scene #1Descartes Home -- Ville de Descartes, FranceYesterday the Diophantus of the Opera broke into the childhood home of esteemed geometer,René Descartes. The owners woke up to find the lucky straightedge of Descartes was missing.René Descartes worked awfully hard creating his Cartesian Coordinate System, but itstrikes me as a little too trivial for our grand premiere. The Diophantus of the Opera ishere inside your mind, but how about later?47oN 5oEHere are the directions to my odyssey. The name of the final destination will be equal to -81. From my starting point (the star), I’m going 5o N and 7o E. I am in2. Then 8o S. I am in3. Then I’m gracefully traveling 5o S and 10o E. I am in4. Finally, 14o N and 24o W to my final destination -8 21st Century Math Projects

Scene #2Eiffel Tower –- Paris, FranceIt is suspected that the Diophantus of the Opera broke into the Eiffel Tower, climbed to the topand proceeded to drop euro coins. A figure was seen taking measurements and investigatorslater found this note.Although  most  of  the  great  French  mathematicians  were  not  around  to  see  it,  I’m  surethey would have loved to have thrown coins from atop the Eiffel Tower. The distancethe coin will fall is 4.9 meters the first second, 14.7 meters the next second and so on inan arithmetic sequence. If the coin continues to fall at this rate, how many meters will itfall during the 8th second?t (seconds)123meters fallenduring that second4.914.724.5You might like this equation.Scene #345678ee an a1 (n – 1)dRemains of the Berlin Wall, GermanyIt is believe that after his raid in France, the Diophantus hitchhiked to Germany. Our researchers seemschunks of the mortar from the remains of the Berlin Wall was chiseled away and stolen.Brava, Brava, Bravissima. I seem to have reached the Point of No Return.Is this yours?g(x) x2 – 4f(x) 3x - 2P f(2) 4T 5[f(4)] – 49q(x) 6480?H 2[g(3)]q(x) PHANTOMxA f(0) 5O -3[g(1) 9]N g(-2) 3M f(1) g(1)X 21st Century Math Projects

Scene #4Aristotle University of Thessaloniki -- GreeceA Greek manuscript filled with philosophical writings was found on a table next to a dozen empty cansof Mountain Dew. Investigators believe the Diophantus was attempting to translate the document.My sweet Christine, tis best if we can improve our relations. Remember that relations may take manydifferent forms and look different ways -- masks of a sort. Unfortunately only one of our famous Greekfriends  could  translate  their  relation  correctly  every  time.  Who’s  right?R {(1, 4), (-2, 5), (5, 5), (2, 3), (-1, -1)}Greek MathematicianDomain & RangeTable, MappingRelation, or GraphIs it aFunction?Aristotlex 10D: {-2, -1, 1, 2, 5}R: {-1, 3, 4, 5}Yes{(4,1), (2, -5),(5, 5), (3, 2),(-1, -1)}Yes{(4,1), (5, -2),(5, 5), (3, 2),(-1, -1)}Yes{(4,1), (5, -2),(5, 5), (3, 2),(-1, -1)}Yes{(4,1), (5, -2),(5, 5), (3, 2),(-1, -1)}No{(4,1), (5, -2),(5, 5), (3, 2),(-1, -1)}Euclide -5D: {-2, -1, 1, 2, 5}R: {-1, 3, 4, 5}Platou -4D: {-2, -1, 1, 3, 5}R: {-1, 2, 4, 5}Ptolemyω 0D: {-2, -1, 1, 2, 5}R: {-1, 3, 4, 5}Pythagorask 20D: {-2, -1, 1, 2, 5}R: {-1, 3, 4, 5}InverseWho’s right? 21st Century Math Projects

Scene #5Stonehenge -- EnglandThe curators of the mysterious ruins found that a mythic satchel was missing. They believe thecontents are jewels from a departed alien life form. This could potentially be the fuel for a worldconquering device. Atop one of the mammoth stones, investigators found nearly a hundred halfeaten apple cores and this note written with sidewalk chalk.The final act is near. I thoughtit’d   be   best   to   honor   the   localsby paying respects to their mostsignificant mathematical figure –Isaac Newton. I toyed with somedifferent apple tossing strategies to inspire the geniusI’ll   soon   need   to   complete   this   world   conqueringdevice.I leave you with my last puzzle. A bit of calculus. Hereare the models for my two different apple tosses.Complete the tables. Graph them.f(t) 2tg(t) t2If you shade the region between the intersection points of the two functions, whichshape will be drawn? This is the final piece of the puzzle.y 9z 9e 9x 9 21st Century Math Projects

Scene #6Gondola Dock -- Venice, ItalyA pair of gondoliers came upon a surprise when thet found the following carved in the floorof their boats. Soon after, they discovered some famous Fibonacci mystical artwork wasmissing. Later, investigators were sent a cryptic text message.Blaise Pascal and Fibonnacci join together for aduet aria for the ages. Who will steal the stage?The Triangle or the Golden Spiral?DA B C D ZZ CRYPTIC PUZZLE SOLVER TEXT MESSAGEIt’s  golden!  Good  luck  cracking  this  code.z UK The Diophantus of the Operaey(UK )( x) 21st Century Math Projects

CSI Algebra: LinesDetectives,The sun sets, the winds blow, and the international evil genius terrorist group the Mathemagicianswreak havoc on yet another world region. It seems they are making progress in their plans to build aworld conquering device despite our best efforts to apprehend their cronies. China is the victim of thelatest string of heists at the hands of a henchman (or henchwoman), Li Squareds. One thing is sure, LiSquareds is definitely some kind of henchperson.As has become the calling card of the Mathemagicians, theyhave left behind a trail of notes with a cryptic text message. Thetext  message  when  substituted  correctly  will  calculate  to  the  Li’sfavorite number. So far there are six suspects that police havequestioned. It is hoped that someone with a relatively strongnumber sense and spatial reasoning can crack some codes thathave puzzled the detectives on the case so far.Your job is to bring Li Squareds to justice and save the planet.You need to be prepared to state your case and demonstrateyour understanding of the following skills that Li is known to use in the notes.-Slope & Rates of Change-Calculating, graphing and interpreting lines-Parallel and Perpendicular linesBe 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 conqueringdevice? Good luck to you, gumshoe.Chief Harris 21st Century Math Projects

Who is Li Squareds?Name: KenName: TripitiOccupation: ButcherOccupation: PetStore OwnerFavorite Number : 7Favorite Number:10Name: BrandiName: PeteOccupation: RealtorOccupation: Rock Star/ PhilanthropistFavorite Number: 13Favorite Number: -19Name: DawneName: NashOccupation: ArchivistOccupation:Insurance SalesmanFavorite Number: -10Favorite Number: 11 21st Century Math Projects

Scene #1National Art Museum of China -- 中国美术馆Li Squareds broke into the National Art Museum of China and emerged with a ceremonial dragondance costume. Cameras caught a glimpse of this heist as Li danced out of the museum untouched -in full dragon gear. Security Guards assumed the night custodians were having a bit of fun.Nǐhǎo dudes, I’m honored that your elite team of investigators has decided to waste hundreds ofman-hours attempting to crack my uncrackable puzzles. I hope you like change. Rates of change infact. No place in the world changes asfast as China, and no evil mathematiciangroup increases the rate of change likethe Mathemagicians!!1!11!I drew this amazing piece of dragon artout of 18 straight line segments.Find the slope of all 18 segments andadd them together. This answer will beequal to龙. (All Undefined Slopes will countas 0 and all ordered pairs are integercoordinates)(NOTE: Don’t count the flaming ball offire, that’s just there to be super cool.)龙 Scene #2Quanjude Restaurant –- 全聚德A waitress noticed that eighteen mutated duck legs were stolen. After a thorough investigation, policefound pieces of this note in five different fortunate cookies.I just realized that going to China qualifies as roaming on my cell phone plan. I needto get a local cell or I’m going to need to sell my car and I really need to stay in touchwith the rest of the Mathemagicians. Oh no! More change! Here are my options:Company中国移动通信MobileUnicorn 中国联通Telecom 中国电信Unlimited Calls (per month)Texts30 RMB.08 RMB/text20 RMB.10 RMB/text10 RMB.12 RMB/textRMB Renminbi, the official currency of ChinaIf I send 1,500 texts per month, which plan is the cheapest? Write equations for each company tofind out! The first English letter of the cheapest company will be equal to 2. 2 21st Century Math Projects

Scene #3Beijing West

MYSTERY EXPRESSION GAME!!!!! i. Twice x Answer I: ii. 9 less than the Answer I Answer II: iii. The sum of Answer II and the product of 5 and t Answer III: iv. Answer III decreased by two-fifths the cube of another number Answer IV: v. Half of Answer IV Answer V: ANSWER V is E

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