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Compute the Area of Irregular (Composed) Two-Dimensional Figures

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Compute the Area of Irregular (Composed) Two-Dimensional Figures

TEKS Math: 7.9.C

(C) Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles

CCSS Math: 7.G.4

7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

7.G.6

7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

This measurement and geometry lesson focuses on computing the area of irregular two-dimensional figures. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students divide the irregular figure into common shapes, such as triangles and rectangle or circles. Then, they compute the areas of the common shapes and the sum of all the areas. In addition to the lesson, there are six pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: 7.9.C

(C) Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles

CCSS Math: 7.G.4

7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

7.G.6

7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.


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