(A) Slippery Slopes: Deriving the Derivative

Shown below are the graphs of three functions. One graph is the initial function, one is the graph of the derivative of the initial function, and one is the graph of the derivative of the second function.

Which graph is which?

Counting Embedded Figures- Squares

How many squares are in the figure below?

How many squares are in a 3 x 3 figure? In an 4 x 4 figure ?

Chicago Airspace

Charlie is in training to be helicopter pilot. In his job, he will cover areas of Chicago to support the local police force. Because he is in training, each day Charlie will be given more responsibility than the previous day. Consider the quadrilateral shown in the sketch. On day one, Charlie will be responsible for the air space in Triangle ABC. On the second day, Charlie will be responsible for Triangle Triangle ADE, and so on.

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