An alternate way for students to discover the formula for the area of a regular polygon. (In this case, n = 5 --Regular Pentagon).

Applet allows for the student to readily discover or meaningfully recall that when the altitude is drawn to the hypotenuse of a right triangle, it splits that triangle into 2 smaller triangles that are similar to the original triangle and to each other. The AA~ reasoning is visually manifested within this applet.

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This is a great discovery lesson for using the the sum of the interior angles of a triangle to figure out and apply the concept of the sum of the interior angles of other polygons. It is aligned with CCSS.5.G.B.4.

Students can discover, without words or numerical data, the obvious relationship that for a 30-60-90 triangle, the hypotenuse is double the shorter leg.

Students use real world math and critical thinking skills to plan a party with a budget. From More Than a Worksheet $$

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