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7-GM-1-1

Page history last edited by Brenda Butz 6 years, 3 months ago

7.GM.1.1 Using a variety of tools and strategies, develop the concept that surface area of a rectangular prism with rational-valued edge lengths can be found by wrapping the figure with same-sized square units without gaps or overlap. Use appropriate measurements such as cm².

In a Nutshell

Understand that the sum of the square units used to wrap a rectangular prism exactly one time is equivalent to the surface area. Given the model of a rectangular prism, surface area can determined by using grid paper in order to cover the prism exactly once.

Student Actions	Teacher Actions
Develop mathematical reasoning that the surface area of a rectangular prism is equivalent to wrapping the figure with same sized square units. Develop the ability to model surface area of a rectangular prism. Develop the ability to communicate mathematically whether a given amount of paper will cover a particular rectangular prism.	Implement tasks that promote reasoning and problem solving and test hypotheses when applying knowledge of surface area. Pose purposeful questions to students about the equivalence of the surface area and the amount of paper needed to cover the prism exactly once. Facilitate meaning mathematical discourse as students compare and analyze their various approaches to finding the surface area.
Key Understandings	Misconceptions
Finding the area of squares and rectangles. Properties of rectangular prisms (opposite faces and bases are congruent, e.g.). Surface area is still an area calculation (square units) even though it is applied to a 3-dimensional figure. Understand the purpose of a net and have the ability to decompose the surface into various shapes.	Students may struggle to compile the areas in order to find the total surface area of a rectangular prism. If using the surface area formula, students may struggle with what values are represented and how those values can change depending on how the figure is oriented. Students may confuse area and perimeter. Students may struggle in finding missing measurements.