-Show the child the triangle. Trace the side with your finger. Repeat with other polygons - progressing in sides - letting them explore one at a time.
-Stand a polygon up on one of it's sides. 'Roll' it - turning it to each side and stopping briefly on each side.
-Stack polygons, alternating between faces and sides. The child will discover that odd-numbered sided polygons cannot be stacked upright.
-Using 2 sets of polygons, mix the polygons up. Sort by shape.
Introduce language, naming each polygon (triangle, square, pentagon, hexagon, heptagon, octagon):
-Place 3 polygons in front of you. Name them. Then ask for a polygon by name. If the child cannot find it, identify it for them to reinforce the language.
-Repeat above varying the polygons and gradually increasing the number of polygons.
-Set 3 polygons in front of you. Point to a polygon and ask the child what it is. If they cannot name it, you name it.
-Have children feel the polygons inside ar bag, or in a covered basket, or just with their eyes shut and see if they can identify the shape by touch or if they can tactually find a shape that is requested. "Can you find a pentagon?"
-Count the sides of a polygon - touching each side as you count.
-'Roll' each polygon - counting each side as it touches the floor.
-Order 3 polygons by number of sides: Place the triangle, square, and pentagon in front of you in mixed up order. Find the triangle, count it's sides out loud. Put it to your right. Find the square, count it's sides out loud. Put it to the right of the square. Count the sides of the pentagon out loud. Put it to the right of the square.
-Repeat above, shifting the polygon sets by 1 (square-pentagon-hexagon, pentagon-hexagon-heptagon, hexagon-heptagon-octagon).
-Repeat above, gradually increasing the number of polygons used until all polygons can be ordered by number of sides.
-Stack the polygons in order of decreasing number of sides - centering each polygon.
-Stack the polygons in order of increasing number of sides - centering each polygon.
-Order the triangle, pentagon, and heptagon by number of sides. Repeat with other combinations that require skip counting. Gradually add additional shapes into the mix.
-Order 3 polygons with your eyes closed. Repeat for different combinations. Gradually add additional polygons into the mix until all polygons can be ordered with your eyes closed.
-Stack the polygons in order of decreasing number of sides with your eyes closed.
-Stack the polygons in order of increasing number of sides with your eyes closed.
-Using 2 sets of polygons, mix up the shapes. With your eyes closed, order the polygons, stacking the matching polygons.
-Trace each polygon onto paper and label appropriately
-Trace polygons onto paper as a base for an artistic drawing.