Maryland College and Career-Ready Standards
MD.MA.8.G. Geometry (G)
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
8.G.9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
8.G.9.1. See the skills and knowledge that are stated in the Standard.
Unit 1: Congruence, Proof, and Constructions
HSG-CO.A. Experiment with transformations in the plane.
G.CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G.CO.1.1. Ability to use mathematical vocabulary accurately.
Unit 2: Similarity, Proof, and Trigonometry
HSG-MG.A. Apply geometric concepts in modeling situations.
G.MG.1. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
G.MG.1.1. See the skills and knowledge that are stated in the Standard.
Unit 3: Extending to Three Dimensions
HSG-GMD.A. Explain volume formulas and use them to solve problems.
G.GMD.1. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
G.GMD.1.1. See the skills and knowledge that are stated in the Standard.
G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
G.GMD.3.1. See the skills and knowledge that are stated in the Standard.