Florida B.E.S.T. MA.912.GR.4.2
The Standard
Identify three-dimensional objects generated by rotations of two-dimensional figures.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students match a flat profile and a stated axis to the solid it sweeps out. They use the axis position and distances from it to recognize cylinders, cones, spheres, and solids with holes.
What Mastery Looks Like
- Given a profile and axis, a student names and sketches the resulting solid, including any central hole. They can work backward from a cylinder, cone, sphere, or torus to a possible profile and axis.
Common Misconceptions
- Students often ignore the axis location, so they miss holes or use the wrong radius. They may call every rounded result a cylinder or confuse a sphere with a torus.
How to Assess It
- Exit ticket: A right triangle turns around one leg, and a semicircle turns around its diameter. Sketch and name each result, then label its axis.
Lesson moves
Ways to Teach It
Cut profiles from cardstock, tape each to a skewer as an axis, spin them, and sketch the visible solid.
Ask: How does turning a rectangle around an edge differ from turning it around a parallel line outside the rectangle?
Play a matching relay with cards showing profiles, axes, and solids such as cylinders, cones, spheres, and tori.
Compare pottery wheel profiles with finished bowls, then identify which profile and axis could make each bowl.
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Printable MA.912.GR.4.2 Worksheet
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Related Standards
- MA.1.GR.1
Identify and analyze two- and three-dimensional figures based on their defining attributes.
- MA.912.GR.4.1
Identify the shapes of two-dimensional cross-sections of three-dimensional figures.
- MA.K.GR.1
Identify, compare and compose two- and three-dimensional figures.
- MA.K.GR.1.1
Identify two- and three-dimensional figures regardless of their size or orientation. Figures are limited to circles, triangles, rectangles, squares, spheres, cu...
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