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Pascal’s triangle, (known as Khayyam’s triangle in Iran and Yang Hui’s triangle in China) is seen below.

image

Well, what does it mean? We start with diagonal lines of 1s. Then every other number in the interior is the sum of the two numbers above it. With this simple rule, the triangle shows lots of cool structure.

Today we’ll look at various problems involving probability. [do we need more of an introduction?]

Today we’ll look at 3-dimensional shapes, including their volumes and surfaces areas. One special kind are the Platonic Solids - the tetrahedron, cube, octahedron, dodecahedron and icosahedron.

Today we’ll look at various logic puzzles where you have to imagine what’s going on inside someone else’s head. What they’re thinking about could be about what’s going on inside your own head!