Characteristics and Properties of Shapes
I think when introducing two-dimensional figures, I would first present a list of them to my students. I would start the lesson by having them define as many of them as possible. They could write a definition, draw a picture, or list examples of the figures. This activity would allow me to determine what prior knowledge my students have of two-dimensional figures. Next, as a class the students would share their definitions with one another, and we would nail down appropriate definitions.
Concave- when drawing diagonals on a concave figure, at least one is outside of the shape
Convex – when drawing diagonals on a convex figure, all of them are inside of the shape
Visit this websit to see pictures:
http://www.mathsisfun.com/geometry/polygons.html
Polygon – a shape that is closed and has straight sides

Regular Polygon – a shape that has sides of the same length and equal angle measurements

Equilateral Triangle – triangle whose sides are of equal length
Isosceles Triangle – triangle having two sides of equal length
Scalene Triangle – triangle having no sides of equal length
Right Triangle – has one angle measuring 90°
Obtuse Triangle – has one angle measuring more than 90°
Acute Triangle – has 3 angles all measuring less than 90°
For pictures of triangles visit site:
http://www.mathsisfun.com/triangle.html
Parallelogram – is a quadrilateral having two pairs of parallel sides

Rhombus – is a parallelogram with 4 sides of equal length

Rectangle – is a parallelogram that has four right angles; opposite sides are of equal length
Square – is a parallelogram with 4 sides of equal length and 4 right angles
Visit this site for pictures:
http://www.mathsisfun.com/quadrilaterals.html
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Having students write their definitions or draw the shapes sounds like a good way to check for prior knowledge. Students could compare definitions or drawings and compare.
It would be interesting to see who can draw the best dodecagon.
Tom