The following lesson is on rotational and reflectional symmetries of various regular polygons, including squares, rectangles, triangles, parallelograms, rhombi, hexagons, trapezoids and other shapes. Students will explore various reflections and rotations and determine if the image is congruent to the pre-image.
There are 2 pages of cut-out shapes to be used for a more visual representation of the rotations and reflections. These can be printed and cut out prior to class, or the students can cut them out themselves.
Brads may be used to allow for easier exploration of rotational symmetry if needed for demonstration purposes, or for students' individual exploration, especially for diverse learners.
String or popsicle sticks may be used to attach to the shapes for easier exploration of reflectional symmetry if needed for demonstration purposes, or for students' individual exploration, especially for diverse learners.
Students will need a straight edge to draw the line of reflection.
Calculators may be needed to calculate the angle of rotational symmetry.
1-2, 45 minute sessions.