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Calculate the Area of Composite Figures

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Calculate the Area of Composite Figures

CCSS Math: 6.G.1

6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

HSG.GMD.1

HSG.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

This math lesson teaches students how to calculate the area of a composite figure. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify the common geometric figures that make up a composite figure and then sum the separate areas to find the area of the whole. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments.

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Standard Alignments:

CCSS Math: 6.G.1

6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

HSG.GMD.1

HSG.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.


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