Preview - Lattice Land: Polygon Exploration

Play around. Explore what kind of shapes you can make, and what you are not able to make in Lattice Land. Be creative. Ask questions. Share with friend.

You can also customize your drawing:

  1. Change the size of your world using the “width” and “height” sliders. Click “setup” to apply any changes.
  2. Notice that the width and height refer to the number of units (distance) and not the number of dots.
  3. At any time you may change the color of your segments. Just click the “segment-color” button and choose from the color palette.

 

Questions

Please answer the questions below.

Play around. What kind of shapes you can make Lattice Land? List the types of shapes you can make and DEFINE each type of shape.

(For example: I can draw right triangles. A right triangle is a triangle that has one angle which measures 90 degrees.)

What is a polygon? Be as specific and detailed as possible in your definition of polygon.

Note: It is not enough to say "a closed shape" because a circle is also a closed shape but not a polygon

Can you draw a lattice polygon (that is, a polygon in Lattice Land)? Why or why not?

What kind of shapes are not polygons? Draw at least 2 examples of shapes you can draw in Lattice Land that are not polygons.

Note: Draw your sketch in the sketchpad below

Describe what kind of shapes are not polygons. How can you refine your definition of polygon so that it excludes such shapes?

Define what is a circle. Can you draw a lattice circle (that is, a circle in Lattice Land)? Why or why not?

Notes

These notes will appear on every page in this lesson so feel free to put anything here you'd like to keep track of.