Examples, solutions, videos, and lessons to help Grade 6 students learn how to 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.
Common Core: 6.G.1
Find the area of triangles, quadrilaterals, and polygons by composing rectangles (6.G.1)
Area of Polygons (6.G.1)
A trapezoid is a quadrilateral with only one pair of parallel sides.
Area of trapezoid = 1/2 h(b1 + b2)
A regular polygon is a many-sided figure with all sides equal length.
Area of triangle = 1/2 sh
Area of octagon = 8 • 1/2 sh = 4sh
6.G.1 - Area of Irregular Polygons
This video explains how to find the area of irregular polygons by following 4 simple steps:
Finding Area by Constructing and Deconstructing Shapes – 6.G.1
In this video, students will learn to find the area of triangles and trapezoids using a grid. This video relates to Common Core Standard 6.G.1. Students learn to compose and decompose shapes into rectangles and triangles in order to determine the shape of triangles and trapezoids.
How to find the area of irregular polygons. The key to finding the correct area is to use the parallel lines as key pieces of information. Also, some shapes not always be composed of quadrilaterals, some may be made up of triangles. This will impact which formula you use. If it is a rectangle, then you will use A=lw, but if it is a triangle, you will use the formula A=1/2 x b x h.
Find the Area of an L-Shaped Polygon Involving Whole Numbers
This video explains how to determine the length of the missing sides of an L-shaped polygon from give information and how to determine the area of the polygon.
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