MA19.GDA.17

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.17
Model and solve problems using surface area and volume of solids, including composite solids and solids with portions removed.

Unpacked Content

Knowledge

Students know:

Techniques to find the area and perimeter of parallelograms,Techniques to find the area of circles or polygons

Skills

Students are able to:

Accurately decompose circles, spheres, cylinders, pyramids, and cones into other geometric shapes.
Explain and justify how the formulas for surface area, and volume of a sphere, cylinder, pyramid, and cone may be created from the use of other geometric shapes.

Understanding

Students understand that:

Geometric shapes may be decomposed into other shapes which may be useful in creating formulas.
Geometric shapes may be divided into an infinite number of smaller geometric shapes, and the combination of those shapes maintain the area and volume of the original shape.

Vocabulary

Dissection arguments

Principle

Cylinder

Pyramid

Cone

Ratio

Circumference

Parallelogram

Limits

Conjecture

Cross-section

Surface Area

Aligned Learning Resources

Meatballs: Volumes of Spheres and Cylinders

Volumes by Cross Section

Volume by Cross Section: Volume of the Cone Interactive

Displaying Data | The Electric Company Math Activities

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