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Mathematics (2019) Grade(s): 6

MA19.6.27

Determine the surface area of three-dimensional figures by representing them with nets composed of rectangles and triangles to solve real-world and mathematical problems.

Unpacked Content

Knowledge

Students know:
  • Measurable attributes of objects, specifically area and surface area.
  • Strategies for representing the surface area of a 3-D shape as a 2-D net.

Skills

Students are able to:
  • Communicate the relationships between rectangular models of area and multiplication problems.
  • Model the surface area of 3-D shapes using 2-D nets.
  • Accurately measure and compute area of triangles and rectangles.
  • Strategically and fluently choose and apply strategies for finding surface areas of 3-D figures.

Understanding

Students understand that:
  • Area is additive.
  • Surface area of a 3-D shape is represented by the sum of the areas of the faces of the object.
  • Models represent measurable attributes of objects and help to solve problems.

Vocabulary

  • Nets
  • Surface area
  • Rectangular prism
  • Triangular prism
  • Square pyramid
  • Rectangular pyramid
  • Triangular pyramid
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