| Julia Robinson Mathematics Festival Activities The Difficulty columns tell you what range of difficulties you'll find in each activity. Level 1 should be accessible to a typical 6th grader, perhaps with some discussion with a mathematically competent adult. Level 3 is for very strong middle school students, or high school students with some problem-solving experience. Level 5 is probably challenging enough for the activity's authors, and may include some unsolved problems. | | | Difficulty | Name | Topics | Years | 1 | 2 | 3 | 4 | 5 | Area Attack! | Area | 2007, 2008, 2009 | * | * | * | | | Bag of Tricks - Bayesian Statistics | Bayes' theorem, probability, judgement | 2007 | * | * | | | | Big, Bigger, Biggest! | Factorials, comparisons, divisibility, Pascal's triangle, calculus | 2008, 2009 | * | * | * | * | | Building Blocks | Area, Volume, Binary, optimization | 2008, 2009 | * | * | * | * | | Candy Conundrum (with Teacher's Guide) | Counting, probability, ratio, lattice points | Demo | * | * | * | * | | Cardinal Infinity (with bonus problems) | Counting, infinity | 2008 | | | * | * | * | Casting Out Nines | Arithmetic, remainders, answer checking | 2012 | * | * | | | | Change for a Dollar | Counting, recursion | 2008, 2009 | * | * | * | * | * | Chess Covers and Tours | Symmetry, patterns, patience | 2009 | * | * | * | | | Coloring Cubes | Coloring, counting, cutting | 2008 | * | * | * | | | Compositions | Counting, addition, patterns | 2012 | * | * | * | | | Counting Squares: 2D, 3D, 4D | Counting, patterns, geometry | 2007, 2008 | * | * | * | | | Criss Cross | Graph theory, Euler's formula | 2007, 2008 | * | * | * | | | Cut! | Patterns, lines, planes, space | 2009 | * | * | * | * | | Derangement | Counting, factorial, Pascal's Triangle, statistics | 2007 | * | * | * | * | | Difference Engine | Subtraction, patterns, parity | 2007, 2009 | * | * | * | * | * | Diophantine Dilemma | Addition, linear equations, integers | 2007 | * | * | * | * | | Dissections | Geometry, area, cutting, 3D | 2009 | | * | * | * | | Dominoes and Rectangles | Tiling, recursion, counting, 3D | 2009 | | * | * | * | | Divisor Game | Game theory | 2007 | * | * | * | * | | Euler Phi | Fractions, primes, common factors, remainders | 2007 | * | * | * | * | | A Fair Coin? | Probability | 2009 | | * | * | * | * | Fibonacci Flips and Probability Puzzles (2007 version) Fibonacci Flips (2008 version) | Probability, counting, recursion, Markov | 2007, 2008, 2009 | | * | * | * | | Folding Fractals | Recursion, patterns, fractals, turing machines | 2008, 2009 | | * | * | * | | Fractal Fiesta | Fractals, hands-on, dimension, geometry | 2009 | * | * | * | | | Functions Rearranged | Algebra, composing functions, maximization | 2008, 2009 | | * | * | | | Generating with Grammar | Recursion, patterns, computer science | 2009 | * | * | * | * | | Gossip | Recursion, combinatorics | 2009 | | * | * | * | * | Making Infinity Finite | Recursion, series, limits, probability, Markov chains | 2008, 2009 | | | * | * | | Kakuro Counting Kakuro table to fill in For Kakuro puzzles: try Kakuro Conquest or Conceptis Puzzles . For a serious challenge, from the US Puzzle Championship, try a hard Kakuro puzzle or an extremely difficult Kakuro. | Counting, partitions, compositions | 2007, 2008 | * | * | * | * | * | Light Bulbs | Factors, primes, inverses | 2007 | * | * | * | * | * | Little Boxes | Area, fractions, infinite series | 2007, 2008 | * | * | * | | | MIMPSY: Mathematically Interesting Mechanical Puzzles Suitable for Youth. Instant Insanity Soma Cube Un-Holey Cube Square With Wonder new in 2010 by Stan Isaacs | Geometry, parity, volume, logic | 2007, 2008, 2009,2010 | * | * | * | * | | Multiplication Table and Tshirt design handout with a connection to Pascal | Multiplication | 2007, 2008, 2009 | * | * | * | | | Palindrome Grab! | Symmetry, game theory | 2009 | | * | * | * | | Parity Games | Even and odd, logic | 2012 | * | * | * | | | Partner Puzzles | Primes, perfect squares, addition, arrangements | 2009 | * | * | * | | | Pick's Theorem | Area, lattice polygons, pattern | 2007 | * | * | | | | PIE: Principle of Inclusion and Exclusion | Counting, sets | 2007 | * | * | * | | | Pirate Puzzles | Logic | 2007 | | * | * | * | | Primes in Evenland | Primes, factorization | 2012 | * | * | * | * | | Prisoner Probabilities, Certainties, and a Paradox | Probability, expected value, logic, patterns | 2009 | * | * | * | * | | Pythagoras Revisited | Geometry | 2008 | | * | * | * | | Spider and the Ant | Graph theory | 2007 | * | * | * | | | Splitting Piles | Game theory | 2007, 2008 | | * | * | * | | Staring Out to Sea | Geometry, circle, tangents | 2007 | | * | * | | | Stomp instructions Stomp Grids | Parity | 2007, 2008 | * | * | * | * | | String Polyhedra (diagrams only; for more info see Karl Schaffer's page) | Geometry, graph theory, kinesthetics | 2010 | * | * | | | | Teeter Totter | Geometry | 2008 | | | * | * | | Three Jugs | Logic, geometry, trilinear coordinates | 2007, 2008 | * | * | * | | | Tiling Torment | Parity | 2007, 2008, 2009 | * | * | * | | | To Twos, Too! | Sums, patterns, recursion, divisibility, binary | 2008, 2009 | * | * | * | * | | Topology and MySpace | Sets, intersection, union, topology | 2008 | | * | * | | | Tower of Hanoi | Counting, recursion | 2009 | | * | * | * | | Trapezoidal Numbers | Counting, factors, parity | 2012 | * | * | * | | | Two Mathematical Games | Game theory | 2007 | | * | * | * | | What Is Like a Square? Sets of points with few distances | Geometry, distances | 2008, 2009 | * | * | * | * | * | Who Took the Candy? | Game theory | 2007 | * | * | * | | | Wolves and Sheep | Counting, symmetry | 2007, 2008 | * | * | * | * | | Zome patterns (with teacher's guide) Zome challenges Zome proofs | Geometry, topology | 2008 | * | * | * | * | | |