Warm up
Focus on equality and operation sign:
Does 5 + 7 = 11?
Why not?
5 = _ + _
10 = _ + _
2 = _ - _
Substitute a symbol
6 = x + x
10 = y + y
Game
Bulls and Cows - mathematical game. There is a secret code n digit code with all the digits being different. The kids then guess the code. If they have a digit that is present in the code, it is a cow. It they have a digit that is both present and in the correct position, they have a bull. The number of bulls and cows are reported after each guess. The game stops when the code is guessed correctly.
The kids picked a code for Sanjay and Darrin to solve that was 3 digits long. The kids then stumped the adults with a 4 digit code.
Sunday, March 26, 2017
Monday, March 6, 2017
March 5, 2017 - Math Circle 2.0
Warm up
Focus on equality and operation sign:
* + 0 = _
**** +* = _
**** - * = _
** + *** = * + _
* + ****** = *** + _
Game
Bulls and Cows - mathematical game. There is a secret code 2 digit code with all the digits being different. The kids then guess the code. If they have a digit that is present in the code, it is a cow. It they have a digit that is both present and in the correct position, they have a bull. The number of bulls and cows are reported after each guess. The game stops when the code is guessed correctly.
Coordinates
Focus on equality and operation sign:
* + 0 = _
**** +* = _
**** - * = _
** + *** = * + _
* + ****** = *** + _
Game
Bulls and Cows - mathematical game. There is a secret code 2 digit code with all the digits being different. The kids then guess the code. If they have a digit that is present in the code, it is a cow. It they have a digit that is both present and in the correct position, they have a bull. The number of bulls and cows are reported after each guess. The game stops when the code is guessed correctly.
Coordinates
Homework review: How do we get an eight pointed star using squares?
New homework: Can we make a 10 pointed star using squares or triangles?
Sunday, March 5, 2017
3.5
2564103*13
142857143*7=
14285714286*7=
142857142857*7
2564103*13
p-adic arithmetic:
...6666666666667*3=1
...666666667*9=3
....6666666667^2=?
Bulls and cows
142857143*7=
14285714286*7=
142857142857*7
2564103*13
p-adic arithmetic:
...6666666666667*3=1
...666666667*9=3
....6666666667^2=?
Bulls and cows
2.26
multiplication
666667x3
37x3
divisibility by 3 rule
142857x7
p-adic arithmetic
...142857143x7
Opening the brackets
1001x107
(a+b)x(c+d)
Bulls and cows
Dragon curves
Phases of the moon
666667x3
37x3
divisibility by 3 rule
142857x7
p-adic arithmetic
...142857143x7
Opening the brackets
1001x107
(a+b)x(c+d)
Bulls and cows
Dragon curves
Phases of the moon
February 26, 2017 - Math Circle 2.0
Warm up
1 + 0 = _
4 +1 = _
2 + 3 = 1 + _
1 + 6 = 3 + _
6 + _ = 2 + 8
6 - 5 = 1 + _
7 - 2 = 2 + _
Coordinates
Coordinate review
Homework review - make a 6 pointed star using the coordinate system. How can we make the star bigger?
Homework - How do we make a 8 pointed star?
Logic question
There are three brothers named John, James, and William. John and James always lie, but William always tells the truth. The three are triplets and you cannot tell them apart. You meet one of the three on the street and you want to find out if he is John. You can only ask him one yes or no question. The question you ask him can only have three words. What do you ask him?
We made a truth table:
1 + 0 = _
4 +1 = _
2 + 3 = 1 + _
1 + 6 = 3 + _
6 + _ = 2 + 8
6 - 5 = 1 + _
7 - 2 = 2 + _
Coordinates
Coordinate review
Homework review - make a 6 pointed star using the coordinate system. How can we make the star bigger?
Homework - How do we make a 8 pointed star?
Logic question
There are three brothers named John, James, and William. John and James always lie, but William always tells the truth. The three are triplets and you cannot tell them apart. You meet one of the three on the street and you want to find out if he is John. You can only ask him one yes or no question. The question you ask him can only have three words. What do you ask him?
We made a truth table:
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