MA.5.G.3.1Archived Standard

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Analyze and compare the properties of two-dimensional figures and three-dimensional solids (polyhedra), including the number of edges, faces, vertices, and types of faces.

Remarks

Example: Students use a geometric solid to see that a triangular prism is formed by congruent triangles on parallel planes connected by rectangles. Students draw nets, describe faces, count edges and count vertices and use this data as clues to name solids.

 

Example: Students build or draw models of 3-dimensional solids, and identify the characteristics and 2-dimensional components of 3-dimensional solids.

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 5
Body of Knowledge: Geometry
Idea: Level 3: Strategic Thinking & Complex Reasoning
Big Idea: BIG IDEA 3 - Describe three-dimensional shapes and analyze their properties, including volume and surface area.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)

  • Clarification :
    Students will analyze the properties of three-dimensional solids. 

    Students will determine the two-dimensional figure, or net, which can be used to form a three-dimensional solid or determine the threedimensional solid that can be formed from a two-dimensional net. 

    Students will identify and determine the types of faces and the numbers of edges, faces, and vertices in three-dimensional solids. 

    Students will identify and name a three-dimensional solid given two-dimensional views or net (see content limits below).

  • Content Limits :

    Items may include the following terms: pyramid, prism, solid, face, edge, vertex, net, right, polyhedron, and vocabulary from previous grades.

    Items will not include assessing properties of two-dimensional figures in isolation; items must include a three-dimensional figure.

    Polyhedra used in items must be prisms or pyramids with bases having no more than eight sides or composite three-dimensional figures constructed from only cubes.

    Items dealing with composite three-dimensional solids will not require students to determine the number of edges, sides, or faces; however, they may be asked to identify different views of the solid or the number of cubes used to build the solid.

    Items will not assess vocabulary or properties of oblique polyhedrons, spheres, cones, or cylinders.

  • Stimulus Attributes :
    Graphics will be used in most items.

    Items that are set in real-world context may use length and width as dimensions as well as base and height as dimensions.
  • Response Attributes :
    Responses may include only graphics.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: Penelope has an aquarium in the shape of a hexagonal prism. The front view of a hexagonal prism is shown below.

    Hexagonal Prism

    which of the following are the correct numbers of faces, edges, and vertices in a hexagonal prism?
  • Difficulty: N/A
  • Type: MC: Multiple Choice

Related Access Points

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Related Resources

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Lesson Plan

Analyzing Polyhedra:

Students will construct several simple polyhedra, then count the number of faces, edges, and vertices. These data should suggest Euler's formula. 

Type: Lesson Plan

Student Resources

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