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

Reflect on this

http://illuminations.nctm.org/LessonDetail.aspx?ID=L379

A lesson plan for grades 9–12 Mathematics

Provider: National Council of Teachers of Mathematics


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This lesson requires students to investigate reflections using hinged mirrors. With a kaleidoscope, students will examine the interior angles of regular polygons. Illuminations provides activity sheets, a link to the video resource, and detailed instructions for completing the lesson.

Students will:

  • Use multiple reflections to create regular polygons.
  • Determine the relationship between the number of sides in a regular polygon and the measure of its central angles.
  • Examine the significance of congruent angles and their applications.

NCTM Standards and Expectations:

  • Use various representations to help understand the effects of simple transformations and their compositions.
  • Understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices.
  • Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools.

North Carolina Curriculum Alignment