Mathematical Task Presented to the Teachers
Mathematical Task Presented to the Teachers:
Your goal is to derive formula for area of a trapezoid using your knowledge of area formulas for a rectangle, a parallelogram, and a triangle.
• In what ways could you decompose and recompose this trapezoid in order to create a shape or combination of shapes (such as a triangle, a rectangle, or a parallelogram) for which you already know the area/s?
• Knowing the area formulas mentioned above, what are some ways you could describe the area of this trapezoid?
• Is there another way you could approach developing the area of a trapezoid?
• Using different approaches of deriving the area of a trapezoid, please construct 5 different demonstrations of the proof for the area of a trapezoid formula using GeoGebra.
• Your GeoGebra construction should hold even if you move and manipulate the trapezoids.
• Do not use special cases trapezoids (isosceles, trapezoid with right angles, etc.).
• Create each demonstration using a new GeoGebra file