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7-GM-2-1

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

7.GM.2.1 Develop and use the formula to determine the area of a trapezoid to solve problems.

In a Nutshell

Determine the formula for the area of a trapezoid by applying area formulas of other polygons and translating parts of a trapezoid into a usable area formula. Apply the area of a trapezoid formula to solve problems.

Student Actions	Teacher Actions
Develop a deep and flexible conceptual understanding of the area of trapezoids by breaking down trapezoids into other polygons and translating parts of a trapezoid into other known area formulas. Develop accurate and appropriate procedural fluency to find the area of a trapezoid. Develop strategies for solving problems that utilize area of trapezoids.	Implement tasks that promote reasoning and problem solving between the area of a trapezoid and the trapezoid area formula. Pose purposeful questions about the equivalency found between various ways of finding the area of a trapezoid. Use and connect mathematical representations by connecting students’ past experiences with decomposing figures and relating to finding the area of a trapezoid.
Key Understandings	Misconceptions
Understanding that the formula for the area of a trapezoid can be broken down into separate polygons. The area of these polygons are equivalent to the area of a trapezoid. Ability to identify the bases of a trapezoid. Ability to correctly identify the height of the trapezoid.	Students may think the area formula for a trapezoid is the same as the parallelogram area formula. Incorrectly identifying the height as the slanted measurement. Incorrectly identifying the bases.