7 October 2017: Electro-Dough
Add some salt (and lemon juice) to dough, and it conducts! Let’s make some circuits.
23 September 2017: Weight Puzzle
There are twelve balls, eleven are the same, but one has a different weight from the others. How can you find the ball with the different weight using the minimum number of scale weighings?
16 September: Mirror Symmetry
What is the next image in the pattern?
9 September: The Farmer, the Fox, the Goose, and the Grain
The farmer has a fox (who will eat the goose), goose (who will eat the grain), and grain to bring back from the market in a boat that can only carry one at a time. How can the farmer get everyone safely to shore?
26 August 2017: Eclipse
On August 21 there was a total solar eclipse for parts of the US, and a near-total solar eclipse for Charlottesville. For the next math club, we wanted to understand what an Eclipse was, and why they are so rare.
The big purple ball represents the sun.
|Radius of Sun||432288 miles||Distance from Sun to Earth||93 million miles = 215 sun radii|
|Radius of the Earth||3959 miles||Earth radii to Sun||23,480|
|Radius of the Moon||1079 miles||Distance from Earth to Moon||239,800 miles = 60.5 earth radii|
So, to represent the Earth we need something roughly 1⁄109 the radius of the sun. For the big purple ball, which has radius about 10 inches, we needed something with radius 0.01 inches - a small marble was the closest readily available, but with its blue and green swirly color made an excellent earth. The moon, 1⁄3 the radius of the earth, was a small piece of fuzz.
Scaling the size of the Sun down to the big purple ball, means the distance to the earth (normally 93 million miles) would scale down as 1 inch = 43228 miles. This mean the earth should be 179 feet away from the sun, and the moon would be 5.5 inches from the earth.
It actually worked! If you held the moon (fuzz) in just the right place, it would just occlude the sun.
We will be ready for the next eclipse in 2024!
13 April 2017: Egg Coloring
16 March 2017: Polygons
9 March 2017: Shadowy Similar Triangles
Let's use our shadows to measure its shadow!
Opps...it goes across the street. We'll have to try again closer to noon.
2 March 2017: Viral Fishy Stories
(Inspired by Tiddler: The Story-Telling Fish)
How long does it take for a story to spread across the ocean? What if everyone tells the story to just one person? What if everyone tells the story to two new people? (We don’t have enough fish, but enough stuffies to get through 6 stages!)
23 February 2017: Crazy Calendars
Calendars are puzzles - the last day of this month, first with the first day of the next month. There are different shapes of months because the number of days is either 30 or 31, and February is really odd.
3 December 2016: Hamiltonian Cycles!
Find a path that starts from the castle and visits each character once, but cannot use any road more than once.
24 September 2016: Ruling Rulers
28 August 2016: Trying Triangles
Can you make a triangle with any three sticks? Also, tracing the angles of any triangle to see they make a line!
21 August 2016: Circles and Ellipses
Drawing circles and ellipses with a string around thumbtacks on a board.
24 July 2016: Water Ballistics
17 July 2016: Shadow Monsters
Inspired by The Gruffalo’s Child, we saw who could make the biggest shadows.
9 April 2016: Double Dice Probabilities
26 March 2016: Fibonacci Bunnies!
Can’t have an Easter weekend meeting without lots of bunnies!
Mommy Bunny ⇒ Mommy Bunny and Baby Bunny
19 March 2016: Set Theory: Unicorns, Pegasi, and Alicorns
5 March 2016: Transitivity!
Balancing is transitive!
A = Band
B = Cmeans
A = C
27 February 2016: Commutativity!
Mixing water colors is commutative! This means we end up with the same color when we mix the same colors, regardless of the order in which they are mixed. Mostly, though, we eventually end up with a murky, greenish-purple color after enough colors are combined.
Red + Blue = Purple = Blue + Red