Untuition By Brian Conrey

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Grade Vs Difficulty:

We used manipulative to lead us to solve basic questions. I will place three here.

Can You place 21 one-by three tiles on a * by * chessboard without overlap? If so, what are all of the possibilities.
Circle particpants were given a chessboard and paper strips cut outs in the one by three configuration. It was a fun problem that led to teacher interaction.

Can you stack the 4 Jengas on top of each other in a staircase fashion near the edge of the table in such a way tha the staircase is leading out over the edge of the table and such that no point on the topmost Jenga is directly above the table?
On the table were Jenga's and Kapla blocks to use tin order to model and solv ethis problem. There were blocks falling off the table until two teachers working together were able to model the question.

The last question that we really worked hard on was the Golden Gate Bridge proble. There were reeds placed on the table to use in order to solve this.Participants were holding reeds, bending reeds and trying to figure out how they could help solve the problem. The methods used to solve this question produced three distinctly different answers and prompted a great discussion and a great deal of mathematics!
Question: The Golden Gate Bridge is two miles long. Suppose that there are no expansion gaps in it, i.e. the bridge is one continuous piece of metal. Suppose also that the ends of the bridge are fastened down in such a way that they cannot move. If, on a really hot day, the bridge expands by one inch, estimate how much the bridge will sag in the middle.