Sunday, August 30, 2015

Aug 23 Math Circle 2.0

Symmetry

1. Which shapes are symmetric? Which are asymmetric?

Students were asked to fold figures along axis of symmetry







How many ways can the robot get from point A to point B?

2. Fill in the missing half of each shape 

Robots In Urbana


The robot only understands two instructions:

1. "Go North"
2. "Go West"











A robot starts at the corner of Vermont and Race. What instructions can you give it so that it will move from the corner of Race and Vermont to the corner of Carle and Pennsylvania?

How many ways can it get there?

Can you give it instructions to get back?













Algebra

Each kid has one head and two legs. 

  • How many heads and how many legs do three kids have?
  • If there are two heads and four legs, how many kids are there?
  • If there is one head and six legs, how many kids? (no correct answer here, see below)

An ant has one head and six legs.
  • If there is one head and six legs, does the head belong to a kid or to an ant?
  • If there are two heads and eight legs, how many kids? How many ants?

Experiment


What happens if you put a pack of mentos in a 2 L bottle of diet coke?



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