6.G.1
Based on prior knowledge of area of rectangles, decompose or compose triangles to find the area of a triangle. Using knowledge of area of triangles and rectangles, compose and/or decompose triangles, special quadrilaterals, and polygons to find their areas. Apply these techniques in the context of solving real world mathematical problems.
Example Problems
Approximate the area between the x‑axis and from to using a left Riemann sum with 4 equal subdivisions.
What is the approximate area (in )?
What is the approximate area (in )?
Approximate the area between the x‑axis and f(x) from x = –1 to x = 10 using a right Riemann sum with 5 unequal subdivisions.
What is the approximate area (in )?
| x | –1 | 1 | 3 | 5 | 7 | 10 |
|---|---|---|---|---|---|---|
| f(x) | 4 | 6 | 1 | 3 | 2 | 5 |
What is the approximate area (in )?
Approximate the area between the -axis and from to using a right Riemann sum with equal subdivisions.
What is the approximate area (in )?
What is the approximate area (in )?
Khan Academy ResourcesArea of parallelogramsArea of trianglesArea of parallelogramsArea of trianglesFind missing length when given area of a triangleArea of right trianglesFind missing length when given area of a parallelogramDecompose area with trianglesArea of composite shapesFind base and height on a triangleArea of a triangleFinding area by rearranging partsArea of a parallelogramArea of composite shapesArea of quadrilateral with 2 parallel sides

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