MAFS.7.G.1.3

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: Level 2: Basic Application of Skills & Concepts
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
Assessed: Yes
Test Item Specifications

  • 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 #: Sample Item 3
  • Question:

    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.

  • Difficulty: N/A
  • Type: OR: Open Response

Related Courses

This benchmark is part of these courses.
1205040: M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1205050: M/J Grade 7 Accelerated Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022 (current), 2022 and beyond)
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101010: M/J Two-Dimensional Studio Art 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101020: M/J Two-Dimensional Studio Art 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101040: M/J Three-Dimensional Studio Art 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101050: M/J Three-Dimensional Studio Art 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
7812020: Access M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 and beyond)
0101025: M/J Two-Dimensional Studio Art 2 & Career Planning (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond)
0101005: M/J Exploring Two-Dimensional Art (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101026: M/J Two-Dimensional Studio Art 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101035: M/J Exploring Three-Dimensional Art (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
0101100: M/J Visual Art 1 (Specifically in versions: 2015 - 2022, 2022 and beyond)
0101110: M/J Visual Art 2 (Specifically in versions: 2015 - 2022, 2022 and beyond)
0101120: M/J Visual Art 3 (Specifically in versions: 2015 - 2022, 2022 and beyond)
0104100: M/J Drawing 1 (Specifically in versions: 2020 - 2022 (current), 2022 and beyond)
0104110: M/J Drawing 2 (Specifically in versions: 2020 - 2022 (current), 2022 and beyond)
0104200: M/J Painting (Specifically in versions: 2020 - 2022 (current), 2022 and beyond)
0110100: M/J Printmaking (Specifically in versions: 2020 - 2022 (current), 2022 and beyond)

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.7.G.1.AP.3a: Identify the two-dimensional polygons that result from slicing a three-dimensional prism.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Square Pyramid Slices:

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

Type: Formative Assessment

Rectangular Prism Slices:

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

Type: Formative Assessment

Cylinder Slices:

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

Type: Formative Assessment

Cone Slices:

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

Type: Formative Assessment

Lesson Plans

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 have the opportunity to create their own 3 dimensional figure, to help them visualize the 2 dimensional shapes cut to form a cross-section.

Type: Lesson Plan

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.

Type: Lesson Plan

Virtual Manipulative

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.

Type: Virtual Manipulative

MFAS Formative Assessments

Cone Slices:

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

Cylinder Slices:

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

Rectangular Prism Slices:

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

Square Pyramid Slices:

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

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Virtual Manipulative

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.

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.