Using the Distance Formula to find Trapezoidal Area
9-12
- Pencil
- Paper
Using the Distance Formula to find Trapezoidal Area
This activity can be used as a formative assessment review of algebra and coordinate geometry
This can be used on multiple levels; in an algebra class as an activity that can tie algebra to geometry, or as a review of algebra in a geometry class.
In the activity center settings, the points at the vertices of the front face of the building are given. The students can be told to do a number of different activities form this point alone, but I prefer them to find the distances necessary (by using the distance formula) to find the area of the front face of the building. I guide the students by having them show their work on paper, then I go over each distance to verify answers before finding the area.
The trapezoid shown is presented as a right trapezoid.
For extra credit, I have students submit equations that trace the edges of the front face of the building as well.
A review sheet on trapezoidal area and distance formula with 3 problems.
9-12
- Pencil
- Paper
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