Students will:
-Determine the base length that maximizes the area of isosceles triangles with 2 congruent side lengths of 5 cm. (comprehension of technological representation)
-Determine the angle measures that maximize the area of an isosceles triangle with 2 congruent side lengths of 5 cm. (comprehension of technological representation)
-Describe, using mathematically appropriate language, how the area of an isosceles triangle changes as the base length extends from 0 to twice the base length . (analysis of technological representation)
-Knowing the area of a triangle and the Pythagorean theorem, develop an equation modeling the area of an isosceles triangle as a function of its base, when two sides are held at a constant length. (synthesizing results from mathematical exploration)