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K–12 teaching and learning · from the UNC School of Education

Constructing a three-dimensional model

http://illuminations.nctm.org/LessonDetail.aspx?ID=L653

A lesson plan for grades 3–5 Mathematics

Provider: National Council of Teachers of Mathematics


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In this lesson, students build a three dimensional model from their two dimensional blueprint. In addition, they solve problems related to constructing and decorating their clubhouse. Illuminations provides an overhead, a problem-solving packet, and detailed instructions for completing the lesson.

Students will:

  • Transform a two dimensional plan into a three dimensional figure.
  • Apply problem solving strategies.

NCTM Standards and Expectations:

  • Identify and build a three-dimensional object from two-dimensional representations of that object.
  • Use geometric models to solve problems in other areas of mathematics, such as number and measurement.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 3

  • Goal 3: Geometry - The learner will recognize and use basic geometric properties of two- and three-dimensional figures.
    • Objective 3.01: Use appropriate vocabulary to compare, describe, and classify two- and three-dimensional figures.

Grade 4

  • Goal 3: Geometry - The learner will recognize and use geometric properties and relationships.
    • Objective 3.01: Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant.
    • Objective 3.02: Describe the relative position of lines using concepts of parallelism and perpendicularity.

Grade 5

  • Goal 3: Geometry - The learner will understand and use properties and relationships of plane figures.
    • Objective 3.01: Identify, define, describe, and accurately represent triangles, quadrilaterals, and other polygons.
    • Objective 3.02: Make and test conjectures about polygons involving:
      • Sum of the measures of interior angles.
      • Lengths of sides and diagonals.
      • Parallelism and perpendicularity of sides and diagonals.
    • Objective 3.04: Solve problems involving the properties of triangles, quadrilaterals, and other polygons.
      • Sum of the measures of interior angles.
      • Lengths of sides and diagonals.
      • Parallelism and perpendicularity of sides and diagonals.