LEARN NC

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

About this resource

Appropriate grades
3–5
Subjects
mathematics (applied mathematics, geometry)
Provider
National Council of Teachers of Mathematics

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Students create a quilt using the three transformations and investigate the ways shapes can be colored to show one-half and one-fourth. They locate lines of symmetry and create a set of directions for making their quilt block. Illuminations provides an overhead, reference information for the project, and detailed instructions for creating the quilt.

Students will:

  • Explore ways to color a square to show two and four equal parts.
  • Create a four-patch quilt square using flips, slides and turns.
  • Use geometric and fractional terms to describe their quilt square.
  • Locate lines of symmetry.

NCTM Standards and Expectations:

  • Describe location and movement using common language and geometric vocabulary.
  • Predict and describe the results of sliding, flipping, and turning two-dimensional shapes.

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 3.03: Identify, predict, and describe the results of transformations of plane figures.
      • Reflections.
      • Translations.
      • Rotations.

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 3.03: Classify plane figures according to types of symmetry (line, rotational).