Standard #: MAFS.7.G.1.3 (Archived Standard)


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Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.


General Information

Subject Area: Mathematics
Grade: 7
Domain-Subdomain: Geometry
Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Spheres, cones, and cylinders are allowed. Slicing is limited to horizontal or vertical slices. Bases of prisms and pyramids can be a triangle (any type); a square; a rectangle; or a regular pentagon or hexagon. Items should not use composite figures
    Calculator :

    Neutral

    Context :

    Allowable



Sample Test Items (3)

Test Item # Question Difficulty Type
Sample Item 1 A pyramid is sliced horizontally as shown.

 

Use the Connect Line tool to draw a shape that represents the two-dimensional cross section of the pyramid.

N/A GRID: Graphic Response Item Display
Sample Item 2 A prism is sliced vertically as shown.

Use the Connect Line tool to draw a shape that represents the cross section of the prism.

N/A GRID: Graphic Response Item Display
Sample Item 3

David and Tonya each cut a cylinder in half. The cross-section that results from David's cut is a rectangle. The cross-section that results from Tonya's cut is a circle.

How was Tonya's cut different from David's cut?

Type your answer in the space provided.

N/A OR: Open Response


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Related Resources

Formative Assessments

Name Description
Square Pyramid Slices

Students are asked to sketch and describe the two-dimensional figures that result from slicing a square pyramid.

Rectangular Prism Slices

Students are asked to sketch and describe two-dimensional figures that result from slicing a rectangular prism.

Cylinder Slices

Students are asked to sketch and describe the two-dimensional figures that result from slicing a cylinder.

Cone Slices

Students are asked to sketch and describe the two-dimensional figures that result from slicing a cone.

Lesson Plans

Name Description
Plane Slice

Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. Students will use modeling clay to explore the cross sections that result from slicing a 3-dimensional figure.

Can You Cut It? Slicing Three-Dimensional Figures

In this lesson, students will sketch, model, and describe cross-sections formed by a plane passing through a three-dimensional figures. Students will create a cube, right rectangular prism, and right rectangular pyramid using modeling clay or Play-doh, slice the model using parallel, perpendicular, and intersecting lines and describe the two-dimensional figure resulting from slicing the three-dimensional models.

Virtual Manipulative

Name Description
Cross Section Flyer - Shodor

With this online Java applet, students use slider bars to move a cross section of a cone, cylinder, prism, or pyramid. This activity allows students to explore conic sections and the 3-dimensional shapes from which they are derived. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Student Resources

Virtual Manipulative

Name Description
Cross Section Flyer - Shodor:

With this online Java applet, students use slider bars to move a cross section of a cone, cylinder, prism, or pyramid. This activity allows students to explore conic sections and the 3-dimensional shapes from which they are derived. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.



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