These activities have students discovering the area of parallelograms, rhombi, and trapezoids. Aligned to Common Core State Standards: 6.G.1, 7.G.1
Area of Quadrilaterals
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Three good explorations that will get students thinking about the formulas for area.