7adv.MATH.11.C

Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders.

Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
previous knowledgesurface areaconnectionsformulaslateral surface areatotal surface areasolutionsproblemsrectangular prismstriangular prismscylinders
Skills
  • use (previous knowledge of surface area) #dok1
  • make (connections to the formulas for lateral and total surface area) #dok2
  • determine (solutions for problems involving rectangular prisms, triangular prisms, and cylinders) #dok2
  • apply (formulas for surface area in problem solving contexts) #dok2
Learning Targets
  • I can recall how to find the surface area of three-dimensional shapes. #dok1
  • I can use my prior knowledge to describe what surface area means. #dok1
  • I can connect my previous knowledge of surface area to specific formulas for lateral and total surface area. #dok2
  • I can explain the differences between lateral and total surface area in the context of prisms and cylinders. #dok2
  • I can apply surface area formulas to solve problems involving prisms and cylinders. #dok2
Big Ideas
  • Understanding the relationship between the structure of three-dimensional figures and their surface area formulas is foundational to effective problem solving.
  • Making connections between prior knowledge and mathematical formulas allows students to flexibly solve real-world and mathematical problems involving surface area.
Essential Questions
  • How does previous knowledge of surface area help us derive new formulas for three-dimensional shapes?
  • What is the difference between lateral surface area and total surface area for prisms and cylinders?
  • How can we use formulas for surface area to solve real-world problems?
  • In what ways do the shapes of prisms and cylinders affect how we calculate their surface areas?
  • How can we make connections between nets of solids and the formulas for their surface areas?