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Study the dot pattern below. 

  1. Draw the rd and th figures.

    Can you see a pattern in the completed figures? Use this pattern to complete figures 3 and 5.

  2. How many dots will there be in the th figure?

    The number of dots can be found by multiplying the figure number by and then adding . Do this with the figure number equal to .


  3. Is there a figure that will have exactly dots? If so, which figure is it?

  • Do the same process as above, but in reverse. Subtract and then divide by . If you get a whole number, that is the figure number.

Use the eTool below to create the patterns for Fig. 3 and Fig. 5.
Click the link at right for the full version of the eTool: