## Instructor Overview

Students will extend their knowledge of surface area and nets of rectangular prisms to generalize a formula for the surface area of any prism.

# Key Concepts

Students know how to find the surface area of a rectangular prism using a net and adding the areas for pairs of congruent faces. Students have not seen that the lateral surface forms one long rectangle whose length is the perimeter of the base and whose width is the height of the prism.

Using this idea, the surface area of any right prism can be found using the formula:

*SA* = 2*B* + (perimeter of the base)*h*

# Goals

- Find a general formula for surface area of prisms.
- Find the surface area of different prisms.

SWD: Generalization of skills can be particularly challenging for some students with disabilities. Students may need direct instruction on the connection between what they already understand and a general formula.

Some students with disabilities may have difficulty recalling formulas when it comes time to apply them. Once students discover the formula *SA* = 2*B* + (perimeter of the base)*h*, consider posting the formula in the classroom and encouraging students to add the formula(s) to the resources they have available when completing classwork and homework.

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