Grade 8 - Shape and Space
Standard 8.SS.2 - Calculate the surface area of cubes and rectangular prisms.
Included Skills: Geometry
Demonstrate understanding of the surface area of 3-D objects limited to right prisms and cylinders (concretely, pictorially, and symbolically) by: • analyzing views • sketching and constructing 3-D objects, nets, and top, side, and front views • generalizing strategies and formulae • analyzing the effect of orientation • solving problems. • Manipulate concrete 3-D objects to identify, describe, and sketch top, front, and side views of the 3-D object on isometric paper. • Sketch a top, front, or side view of a 3-D object that is within the classroom or that is personally relevant, and ask a peer to identify the 3-D object it represents. • Predict the top, front, and side views for a 3-D object that is to be rotated by a multiple of 90°, discuss the reasoning for the prediction, and then verify concretely and pictorially. • Identify and describe nets of 3-D objects that are used in everyday experiences (e.g., such as patterns or materials for clothing and banker boxes). • Relate the parts (using one-to-one correspondence) of a net to the faces and edges of the 3-D object it represents. • Create a net for a 3-D object, have a peer predict the type of 3-D object that the net represents, explain to the peer the reasoning used in designing the net, and have the peer verify the net by constructing the 3-D object from the net. • Build a 3-D object made of right rectangular prisms based on the top, front, and side views (with and without the use of technology). • Demonstrate how the net of a 3-D object (including right rectangular prisms, right triangular prisms, and cylinders) can be used to determine the surface area of the 3-D object and describe strategies used to determine the surface area. • Generalize and apply strategies for determining the surface area of 3-D objects. • Create and solve personally relevant problems involving the surface area or nets of 3-D objects.