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.03 Know and apply volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems.
Student Learning Targets:
Knowledge Targets
I can choose the appropriate formula from a list.
Reasoning Targets
I can, given formulas, compute the surface area and volume of a right prism, right cylinder, right pyramid, right cone, and sphere.
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 volume 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 volume 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.
Know and use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Solve for various heights and lengths for use in the volume 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 volume of the figure:
Find the value of x.
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 volume of a solid.
Students can solve for volume of given shapes when given all necessary measurements
Find the volume 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).
Students can solve for volume 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.
