**The 1st meeting of the Islander Math Circles, Fall 2013**

**Facilitators**: Sarah Ives, Kim Moore, George Tintera

**Agenda:**

**Welcome**

**An Area Problem:**

**What is the area of the largest rectangle that can be inscribed in this triangle?**

**What is the width and length of that rectangle?**

**Can you prove your answer algebraically?**

**What relationships do you notice between the dimensions?**

**Can you prove that these relationships would hold true for any maximum rectangle inscribed in a triangle?**

**Some Surprising Theorems about Rectangles : What About Squares?**

**Problem Sets**

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