Primary Type: Formative Assessment
Status: Published
This is a resource from CPALMS (www.cpalms.org) where all educators go for bright ideas!
Resource ID#: 66230
Pyramid Project
Students are asked to draw a net of a three-dimensional figure.
Subject(s): Mathematics
Grade Level(s): 6
Intended Audience: Educators
Freely Available: Yes
Keywords: MFAS, net, pyramid, three-dimensional, lateral edge length
Resource Collection: MFAS Formative Assessments
ATTACHMENTS
MFAS_Pyramid Project_Worksheet.docx
MFAS_Pyramid Project_Worksheet.pdf
FORMATIVE ASSESSMENT TASK
Instructions for Implementing the Task
This task can be implemented individually, with small groups, or with the whole class.
1. The teacher asks the student to complete the problem on the Pyramid Project worksheet.
2. The teacher asks follow-up questions, as needed.
TASK RUBRIC
Getting Started
Misconception/Error
The student is not able to correctly draw a net for the given three-dimensional shape.
Examples of Student Work at this Level
The student:
Is unable to draw a net of the pyramid.
Draws an incorrect representation of the pyramid that may or may not be labeled.
page 1 of 3 Questions Eliciting Thinking
What is a net?
What two-dimensional shapes are used to make this prism?
What shape is the base? What shape are the faces? How many faces are there?
Can you identify the dimensions of the base (or face)?
Instructional Implications
Define a net as a two-dimensional representation of a three-dimensional shape that will fold to re-create the three-dimensional shape. Ensure the student is familiar with the
terms used to describe the parts and dimensions of three-dimensional figures including face, edge, vertex, slant height, and base. Provide opportunities for the student to
decompose three-dimensional figures into nets composed of familiar two-dimensional shapes. Guide the student to clearly identify the decomposed parts and label the
relevant dimensions.
Provide manipulatives such as pattern blocks or a
for the student to explore in order to gain hands-on experience with creating nets by decomposing figures.
Partner the student with a classmate to practice decomposing shapes into familiar figures to create nets. Ask the student to identify the faces, edges, and vertices of the
three-dimensional figure that connect to create the net.
Have the student create a net of a given solid that is large enough to cut out and fold. Have the student create the net labeling all dimensions as given in the original solid.
Allow the student to cut out and fold the net in order to check its accuracy.
Consider implementing CPALMS activity Decomposing 3-D Shapes (ID 13187) or an activity from the National Council of Teachers of Mathematics called Fishing for the Best
Prism, http://illuminations.nctm.org/Lesson.aspx?id=2911, to create nets of rectangular prisms in context.
Making Progress
Misconception/Error
The student does not adequately describe the dimensions of the shapes composing the net.
Examples of Student Work at this Level
The student can identify the composing shapes and draw the net of the pyramid, but:
Does not label any of the dimensions for the square base or triangles.
Makes one or more errors labeling the dimensions.
Does not indicate the unit of measure.
Questions Eliciting Thinking
How can you verify that the picture you have drawn represents the square pyramid?
Can you identify the measurements of the base and height of each shape in the net?
Did you label the units in your diagram?
Instructional Implications
Ask the student to label the lengths of each edge of the original three-dimensional figure on the worksheet. Guide the student to look for parallel edges that have the
same length. Then ask the student to locate each face of the solid in the net and to compare the dimensions originally shown to those now written on the solid. Ask the
student to revise any dimensions that appear to have been written in error. Provide assistance to the student, as needed.
Provide additional opportunities for the student to decompose three-dimensional figures into nets composed of familiar two-dimensional shapes. Consider implementing the
MFAS task Skateboard Ramp (6.G.1.4).
Got It
Misconception/Error
page 2 of 3 The student provides complete and correct responses to all components of the task.
Examples of Student Work at this Level
The student accurately draws a net of the square pyramid and labels each figure using specific dimensions.
Questions Eliciting Thinking
Is there more than one way to draw the net of the pyramid?
How could you use the net to find the surface area of the pyramid?
Instructional Implications
Challenge the student to represent the square pyramid using a different net with the dimensions labeled. Ask the student to use the net to determine the surface area of
the pyramid.
Consider implementing the MFAS task Skateboard Ramp (6.G.1.4).
ACCOMMODATIONS & RECOMMENDATIONS
Special Materials Needed:
Pyramid Project worksheet
SOURCE AND ACCESS INFORMATION
Contributed by: MFAS FCRSTEM
Name of Author/Source: MFAS FCRSTEM
District/Organization of Contributor(s): Okaloosa
Is this Resource freely Available? Yes
Access Privileges: Public
License: CPALMS License - no distribution - non commercial
Related Standards
Name
MAFS.6.G.1.4:
Description
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the
surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
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