6.G.1: Techniques for Solving Area Problems with Different Shapes

Grade: 6th Grade

Domain: G: Geometry

Standard Description

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.

Domain Description

Learn to calculate the area of different triangles, quadrilaterals, and complex polygons by splitting them into simpler shapes or combining them into rectangles; use these skills to solve practical and theoretical problems. Discover how to evaluate the volume of a rectangular prism with fractional sides by filling it with unit cubes of corresponding fraction side lengths, and demonstrate that this volume equals that which would be obtained by multiplying the prism's side lengths. Apply the formulas V = l w h and V = b h to find prisms' volumes having fractional side lengths while addressing practical and theoretical issues.

Become skilled at creating polygons on the coordinate plane using vertices coordinates and use the points coordinates to find the side length connecting points with identical first or second coordinate. Implement these methods to solve practical and theoretical problems. Learn to depict three-dimensional objects utilizing nets composed of rectangles and triangles, and use these nets to calculate the figures' surface area; apply these methods while resolving practical and theoretical challenges.