April 9, 2017 - Math Circle 2.0

Warm up

Calculating the number of triangles in an object....

There are 4 math circle students:
Count the total number of items that the students have:

Shirts?
Shoes?
Fingers?

Max was able to bake cookies.  He put a the cookies in 3 rows, with 4 cookies in each row.  How many cookies did he make? Are there other problems that can be solved like this?

Cabbage Patch Problem:

Divide the cabbage patch into 6 sections that contain only two cabbages in each section using only 3 straight lines.

Speed and Time

The sphero robot needs three parameters to travel:

• Direction (in the coordinate system we learned)
• Speed 
• Time (in seconds)

Program sphero to make start at a point, move to a second point, and then move to a final point at speed of 50.

April 2, 2017 - Math Circle 2.0

Warm up

Sequences with numbers and letters.

2 4 6 8 _
B D F H _

Review equality and letter substitution:

6 = x + x
10 = y + y
3 + n = 8
10 - z = 2

Try 2 equations:

a + b = 7
2 + a = 4
Solve for a and b

Speed and Time

The sphero robot needs three parameters to travel:

• Direction (in the coordinate system we learned)
• Speed 
• Time (in seconds)

Program sphero to hit a target in the room.  Set sphero at a fixed speed, choose a direction, and then figure out the amount of time sphero needs to travel to hit the target.


Sequence problem

Bulls and Cows

Always a favorite, we wrapped up math circle with a nice game of bulls and cows.

april 4

- Find:

• 2x4-1x5=3;
• 3x5-2x6=
• 4x6-3x7=
• ....
• 322x324-321x325=
• ....
• (a+1)(a+3)-a(a+4)=

- Look up the lunar eclipses over the past 20 years. On what months do they happen?


- Puzzle: guess what's in the picture?

Try to make your own picture of something that is hard to guess...