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NCTM Transition to Algebra PuzzlesThink-of-a-Number TricksWordsPicturesThink of a number.Add 5.Description of PicturesAbbreviationa bucketba bucket and 5b 5Multiply by 2.2b 10Subtract 2.Divide by 2.Subtract your original number.Mobile PuzzlesDoes this mobile balance always, sometimes, or never?This mobile always balances. Why? If sometimes, when?24 32Total weight of mobile 842 42 6 Copyright 2013 by Education Development Center, Inc.1 For more information, visit ttalgebra.edc.org
NCTM Transition to Algebra PuzzlesMobile PuzzlesThis mobile is balanced. What does that tell us about these?Which mobiles can you say balance?Create a balanced mobilebased on the mobileabove.?for sure?Do we know if thismobile is balanced?Do we know if thismobile is balanced?Do we know if thismobile is balanced?Why or why not?Why or why not?Why or why not?Creating MobilesMake a small mobile with two shapes and one beam.aYou’re making the puzzle, so work backwards.Start by making up the answers first:bNow make up a balanced mobile, and write inthe total weight at the top: cTry to solve your mobile. Was it solvable?multiple solutions (manySome mobiles have no solutions (no numbers will work) and some haveof numbers works).setonenumbers work), but the best mobiles have only one solution (onlywith many solutions.If you can’t solve your mobile, it might be a mobile with no solution ordIf your mobile doesn’t have exactly one solution, change it or make a new one.Then cover your answer and give your mobile to someone else to solve here: Copyright 2013 by Education Development Center, Inc.2For more information, visit ttalgebra.edc.org
NCTM Transition to Algebra PuzzlesArea PuzzlesIf we agree that.1 Find the area of each of these shaded sections. Match each numerical expression with an area model.You may use the same model more than once.1(3 4)24A4Find the total area ofeach of the shapes.44C423 423(3 4)432 424Shape A4442Shape B44B532 42 2 3 463 434D4Shape C43223Shape D3What multiplications are shown here, and what are the answers?5y4k{{2xyyyyyxxyxyxyxyxyxxyxyxyxyxy2x 5y-2-2j3jThese 12 are all jk.x-2j2-2j3j( ) – 6j5xy10y5y( ) Complete these area models.6-7a52c-318b-35a-3d5Copyright 2013 by Education Development Center, Inc.7g5321g10gFor more information, visit ttalgebra.edc.org
NCTM Transition to Algebra PuzzlesWho Am I? PuzzlestWho Am I?utututuWho Am I? I am in the thirties. d t My units digit is twice my tens digit. d is four less than u. The product of d and t is u.dWho Am I? The product of my digits is 7. The product of my digits is 16. The sum of my digits is 8. The sum of my digits is 8. My units digit is greater than my tens digit.htWho Am I? I am even. My tens digit is 1. The product of my three digits is 12. h is four less than my units digit.hWho Am I?thWho Am I? I am a multiple of 10. My hundreds digit is onemore than my tens digit. The sum of my three digits is 7.uu I am odd. u t My hundreds digit is prime. t 2h Two of my digits are square numbers.eYou can make up problems like thes.tentcontusing clues with relevanCreating Who Am I? PuzzlesWho Am I?Who Am I?Mystery Number PuzzlesWhat are the only twonumbers thatcouldbe if ?What is the onlynumber that couldbe if ?What could , , andbe if allthe shapes are different numbers? Copyright 2013 by Education Development Center, Inc.4What could , , andbe if allthe shapes are different numbers? For more information, visit ttalgebra.edc.org
NCTM Transition to Algebra PuzzlesLatin Squares and MysteryGridsUse the clues to fill in each grid so that every row and every column contains all of the numbers in the title.5, 7, 9 Latin Square,,Latin SquareMysteryGrid 1, 2, 3, 457 98, 6, 4, 4, 93,–5, 7, 3, MysteryGrid 3, 4, 52,–3520, MysteryGrid 0.1, 0.2, 0.3, 0.47, .6, 4.08, .016, 8, MysteryGrid 1, 2, 32,–3, .12, 2, 12, .5, 3, .02, MysteryGrid 0, 1, x, x22x2 x, 2, MysteryGrid 13, 1, 32x, 42 , 30, x1, x2 1, 13, xGoodMysteryGridpuzzlescan be a bittrickier tomake up.1, xMysteryGrid a, a2, a3a4, a2 a, a6, a5, Copyright 2013 by Education Development Center, Inc.5For more information, visit ttalgebra.edc.org
Transition to Algebra and Related ResourcesTransition to Algebra curriculum information andpresentation documents: ttalgebra.edc.org40Related EDC projects: Implementing the Mathematical PracticeStandards: mathpractices.edc.org iPuzzle Math Apps Coming Soon: ipuzzle.edc.org ThinkMath! Elementary Curriculum: thinkmath.edc.org CME Project High School Curriculum: cmeproject.edc.orgOther Puzzle Sites: BrainBashers: brainbashers.com/logicpuzzles.asp Interactive Mathematics Miscellany and Puzzles: cut-the-knot.org KenKen puzzles: kenken.comOur Favorite Math Apps: Math Doodles: system of equations puzzles Motion Math HD: fractions, percents, decimals, and pie charts Motion Math Zoom: number line zooming with animals Panasonic Prime Smash!: like Fruit Ninja, but with primesCopyright 2013 by Education Development Center, Inc.6For more information, visit ttalgebra.edc.org
NCTM Transition to Algebra Puzzles Mobile Puzzles Creating Mobiles Make a small mobile with two shapes and one beam. d If your mobile doesn’t have exactly one solution, change it or make a new one. Then cover your answe
