Explore Symmetry with Altitudes and Medians.

Explore the sequence of triangular numbers.

Explore properties of triangles constructed using the midpoint of given triangles.

Explain how to construct isosceles triangles.

Tile a square patio with triangular tiles.

Cut any given triangle into triangles of equal area.

Find the smallest possible perimeter of a scalene triangle.

Use the area of a triangle to transform a trapezoid into different quadrilaterals.

Investigate the areas of triangles in a variety of ways.

Use the concept of area to demonstrate the Pythagorean Theorem.