MAT-HS.G-GMD.02

MAT-HS Targeted Standards
(G) Concept: Geometry
(GMD) Domain: Geometric Measurement and Dimension
Cluster: Explain volume formulas and use them to solve problems. 

MAT-HS.G-GMD.02 Calculate the surface area for prisms, cylinders, pyramids, cones, and spheres to solve problems.

Student Learning Targets:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

  • I can
  • I can

Skills (Performance) Targets

  • I can
  • I can

Product Targets

  • I can
  • I can

Proficiency Scale

Score   Description Sample Activity

Advanced

In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations.

  • Create a solid of revolution by rotating a 2 dimensional figure about a line and find the surface area of that solid.
A geometric figure is created when bounded by the lines y=¾ x-3, y=0, x=0.  Draw a picture of the region being revolved about the x-axis.  Determine the surface area of the geometric solid.
  3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.

Proficient

“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations.

  • Calculate the surface area formulas for cylinders, pyramids, cones, and spheres to solve problems
  • Solve for various heights and lengths for use in the surface area formulas using inductive reasoning, pythagorean theorem, and trigonometry.
  • Label the answer using the correct units based on the context of the problem.
  • Give either the approximate or exact answer, given the context of the problem.

Find the surface area of the figure:

 

  2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content).

Progressing

The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content).

  • Select the appropriate formula for finding the surface area of a solid
  • Students can solve for surface area of given shapes when given all necessary measurements

 Find the surface area of the figure:

  1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content).

Beginning

With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).

  • can solve for surface area with help
-
  0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content).
0.0 Even with help, the student demonstrates no understanding or skill. -

Resources

Web
Vocab

» MAT-HS: Geometry