7adv.MATH.10.B

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 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
lateral surface areatotal surface arearectangular prismrectangular pyramidtriangular prismtriangular pyramidareashape's netproblems
Skills
  • solve (problems involving lateral and total surface area of three-dimensional shapes) #dok2
  • determine (the area of a three-dimensional shape’s net) #dok2
  • identify (the correct net for a given three-dimensional shape) #dok1
  • distinguish (between lateral surface area and total surface area) #dok2
  • connect (nets to surface area formulas and real-world applications) #dok3
Learning Targets
  • I can identify the net that represents a rectangular prism, rectangular pyramid, triangular prism, or triangular pyramid. #dok1
  • I can determine the area of a net for a three-dimensional shape. #dok2
  • I can solve problems that involve finding the lateral and total surface area of prisms and pyramids. #dok2
  • I can distinguish between lateral and total surface area in composite three-dimensional shapes. #dok2
  • I can connect the concept of surface area using nets to real-world applications and formulas. #dok3
Big Ideas
  • Surface area can be determined by analyzing and finding the area of a three-dimensional shape’s net.
  • Understanding the distinction between lateral and total surface area is essential for accurate geometric problem solving.
Essential Questions
  • How do you find the lateral and total surface area of different prisms and pyramids?
  • Why is it helpful to use a net when determining surface area?
  • What is the difference between lateral surface area and total surface area?
  • How do surface area concepts apply in real-world situations?
  • How can the surface area of composite shapes be calculated by analyzing their component nets?