7.MATH.9.D
Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.
Grade 7 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
lateral surface areatotal surface arearectangular prismrectangular pyramidtriangular prismtriangular pyramidareashape's netnet
Skills
- solve (problems involving surface area) #dok2
- determine (lateral and total surface area of prisms and pyramids) #dok2
- identify (nets for prisms and pyramids) #dok1
- calculate (area of net components) #dok2
- justify (solutions for surface area problems using nets) #dok3
Learning Targets
- I can identify the net for a prism or pyramid. #dok1
- I can recognize rectangular and triangular prisms and pyramids from their nets. #dok1
- I can determine the area of each shape in a net. #dok2
- I can solve problems that require finding lateral and total surface area of prisms and pyramids using nets. #dok2
- I can compare and justify different solution strategies for finding surface area. #dok3
Big Ideas
- Surface area can be determined by finding the area of each face in a net and summing them appropriately.
- Understanding and using nets connects geometric visualization to algebraic calculation of surface area for three-dimensional figures.
Essential Questions
- How does using a net help you find the surface area of a prism or pyramid?
- What is the difference between lateral surface area and total surface area?
- How can you determine which faces are included in the lateral surface area versus the total surface area?
- How do you know you found the correct surface area for a given prism or pyramid?
- How might visualizing or constructing a net change the way you solve surface area problems?