Nov 29, 2015 - Math Circle 2.0

Chess board coordinate review

The students first reviewed the coordinates of the chess board grid.  We picked a spot on the board and then identified the coordinates.  We also tried the reverse.

Missing school bus

Travis hid a school bus on the grid.  The students had to search for the school bus using the coordinates.  Think battleship.  Once the students found the first part of the school bus, the rest of the bus was quickly found.

Shapes with the grid

We used chips on the grid to make rectangles and triangles. 

nov 22

Solving some equations.

How A, B, C pay $1 each to the bus driver who has no change, having only $2, $3 and $4 dollar coins.

Cross 8 digits from 13571357135 so that the remaining number is the largest.

Homework:

1. Find, how many candies are in square and in round boxes for each of the cases:
• ▢+▢+◯=13;         ▢ +▢+◯+◯+◯=19;
• ▢ +▢+▢+◯=15;  ▢ +◯+◯+◯=21;
• ▢ +▢+▢+◯=6;    ▢ +◯+◯+◯=18;
2. Write these Mayan numbers in our common (Arabic) notation:
   
   
   
   
   

nov 8

Continue with rooms: find criterion that one can do a circle.

Solving some equations, like x+2y=4; x-y=1.

Bacteria in a glass problem

A, B, C pay $1 each, having only $2, $3 and $4 dollar coins.

Areas under a graph?

Experiment: water; stones

Nov 15, 2015 - Math Circle 2.0

Number line

We added numbers together.  We also plotted every students age on the number line.  We noted that we would need a longer number line to plot the parents' ages.

Shapes from cutting paper

When you draw a certain number of lines on a paper, how many pieces of paper do you have?  

The students determined the answers for 0 to 3.

Homework:  if you draw 4 lines, how many pieces of paper would you make if you cut along the line?  Is there a pattern developing.

Robot chess king

The king is restless. How many different squares can he travel to from square 1b. What about squares 1a and 1c.  It was charted out graphically.

Nov 8, 2015 - Math circle 2.0

Clapping patterns.  We switched it up by having each student write out a clapping patterns for the other students to perform.

Number line.  Numbers decrease to the left.., increase to the right.  We also used our number line to measure objects like pencils and our hands in class.  Discussed what the number line is measuring when the object lands between two whole numbers on the number line.

Robot chess king.  We identified a start point and an end point on the chess board using rank and file.  We chose a start location and and end location.  We asked the students to figure out how many different ways the king can get to the destination if he could only move x number times. Normal chess moves apply....