GEOM.MATH.11.C

Apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.

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

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Vocabulary
formulastotal surface arealateral surface areathree-dimensional figuresprismspyramidsconescylindersspherescomposite figuresproblemsappropriate units of measure
Skills
  • identify (formulas for total and lateral surface area of three-dimensional figures) #dok1
  • recognize (different three-dimensional figures, including composites) #dok1
  • apply (surface area formulas to prisms, pyramids, cones, cylinders, spheres, and composite figures) #dok2
  • solve (real-world and mathematical problems involving surface areas of three-dimensional figures) #dok2
  • justify (solutions using correct units and reasoning) #dok3
Learning Targets
  • I can identify and select the correct formula for total and lateral surface area of a given three-dimensional figure. #dok1
  • I can recognize composite and standard three-dimensional figures in real-world problems. #dok1
  • I can apply surface area formulas to prisms, pyramids, cones, cylinders, spheres, and composite figures. #dok2
  • I can solve problems involving the surface area of three-dimensional figures using appropriate units of measure. #dok2
  • I can justify my solution process and explain the reasoning behind selecting and using formulas for surface area. #dok3
Big Ideas
  • Surface area formulas allow us to calculate the exterior coverage of three-dimensional objects, which is essential for real-world and mathematical applications.
  • Understanding the difference between total and lateral surface area helps solve a variety of problems involving three-dimensional figures and their composites.
Essential Questions
  • How do you determine which surface area formula to use for different three-dimensional figures?
  • What is the difference between lateral surface area and total surface area, and why does it matter?
  • How do composite figures affect the way we calculate surface area?
  • Why is it important to use appropriate units of measure when solving surface area problems?
  • How can formulas for surface area be applied to solve real-world problems?