How many different sets of four dots
can be joined to form a square?
A printable sheet for student use is available here
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Topics: Starter  Puzzles  Shape
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There is a printable worksheet to go with this activity.
4 green, 5 black, 1 red and 1 blue
How many rectangles can be found by joining four dots on the grid?
How many triangles can be found by joining three dots on the grid?
How many polygons can be found by joining dots on the grid?
What are the areas of the polygons that can be found?
Assume that the horizontal and vertical distances between the dots are one unit and the dots are symmetrically positioned.
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a different type of counting activity.
Other shape counting starters:
How Many Squares 1?
 How Many Squares 2?
How Many Triangles 1?

How Many Triangles 2?  How Many Triangles 3?
How Many Rectangles?
 Rectangles Investigation 
Icosahedron 
Mystic Rose