Geometry
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Area Formulas
Posted on Dec 17, 2009
Topic: Comparing Shapes to Find Formulas
Students observe the relationships between figures, compare the areas of the figures, and formulate expressions to compute the area of parallelograms, triangles, and trapezoids.
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Activity Key Steps:
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Students will begin by looking at the area of a rectangle. By changing the dimensions of the rectangle, they will decide if the formula for the area also changes.
Next, students will compare the base and height of a parallelogram and a rectangle. They will determine how this relates to the area of a parallelogram.
Students will also compare the base and height of a parallelogram and a triangle, and a parallelogram and a trapezoid. They will use the information to determine the formula for area of a triangle and the area of a trapezoid. Students are given a few practice problems where they will determine the formula and then use it to find the area of the figure.