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Julia Robinson Mathematics Festival - Festival Activities

 

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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

*

*

*

*