7.GR.B: Reason with and about geometric formulas to solve problems and justify solutions in context.

Reason with and about geometric formulas to solve problems and justify solutions in context.

7.GR.B.3Apply the formulas for the area and circumference of a circle to solve problems in context. Use informal reasoning and visual models to explain the relationship between the circumference and area of a circle.7.GR.B.4Solve mathematical problems with and without context involving area, surface area, and volume of two- and three-dimensional objects. a. Solve problems involving area, surface area, and volume of polygonal figures and polyhedral solids, including triangles, quadrilaterals, other polygons, cubes, right prisms, and pyramids—figures defined by edges and flat faces. b. Solve problems involving volume of curved-surface solids, including cones, cylinders, and spheres—figures without edges. c. Interpret and justify solutions in context by comparing different geometric representations, estimating or checking for reasonableness, and explaining how the result applies to the context.

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