Erving Lighthouse Grant

What is MicroWorlds?

First Steps

Let's Dance

Project Files

Student Comments

Massachusetts State Geometry Standards

MicroWorlds Links

Erving Elementary School

Choreography Class 1
First Four Dances Chart

Do not forget, all dances must be regular polygons.

All sides and all angles are equal.

On the procedures page of MicroWorlds:

"to triangletrot" is the first command. This gives the dance a name.
Tell how many steps you want the turtle to go to make one side.
Tell how many degrees the turtle must turn each time.
End each command with return.
End the dance with end and return.
 
Hint: You may fill in this chart in any order you can manage. The triangle trot may be more difficult than the others.

Triangle Trot

Square Dance

Pentagon Polka

Hexagon Hustle

name

to tri trot

to

steps

turn

steps

turn

steps

turn

steps

turn


Choreography Class 2
I Could Have Danced All Night

(If I Simply Saw the Pattern)

In the last class what did you discover you had to turn to make the inside angles of the polygons correct?

Make a Spreadsheet

  1. Using the directions given in the demonstration, make a spreadsheet.
  2. Put in a header with your title and your name.
  3. The spreadsheet chart headings will be:
    1. Name of Polygon,
    2. Number of Angles,
    3. Number of Degrees in Each Angle,
    4. Sum of the Angles,
    5. Supplementary Angle
  4. Fill in all information you already know.
  5. Move back and forth between the spreadsheet and Microworlds to discover each angle. Smart turtles are patient turtles. It will take a while to make each regular polygon.
  6. Find patterns in the polygon information on the spreadsheet.
  7. Can you write a formula for any column and fill down? By the time you are done almost all cells will show formulas, not just data.
  8. WARNING! Remember to set print range to print or the printer will print pages of empty cells.
  9. Print two 80% copies of your finished chart. Make them one page each:
    1. The first should display data.
    2. The second should display formulas.
Choreography Class 3
Elegant Dancing

(What Repeat Can Do For Talented Turtles)

Smart turtles don't need to be told every little step over and over again. Teach your dancers how to do a dance the elegant way. Give them the basic pattern and tell them to repeat it as many times as is necessary.

Repeat 4[fd 100 rt 40]

This saves you, the choreographer, a lot of work. It saves the dancer brain space because the steps are chunked together in a pattern. After they learn the basic step, smart turtles can really polish the parquet. (Do you know what parquet is?)

 1. Rewrite five of your dances using repeat. Call these triangle2, square2, etc.

Choreography Class 4
How Far Can A Turtle Dance?

(How to Find the Perimeter of a Polygon)

  1. Can you compute the perimeter of each polygon dance you have created?
  2. Can you make a spreadsheet that computes perimeter using patterns?
Choreography Class 5
Recital

(Turtles Get to Show Off Their Talents)

Now you are ready to choreograph an entire dance recital. Set the stage. Your turtles are on the beach. They must show they can make every polygon from triangle to dodecagon. (Of course you don't have to make any quirky heptagons since they are never regular!)

Use all the techniques you can to make an outstanding performance.

Some crowd pleasers include:

  • Color
  • Action
  • Use of the whole stage
  • Introductions
  • Music
  • Audience reactions
  • Background
  • Varying speed of dances
  • Programs
  1. You will be expected to learn some advanced techniques by reading the manual and talking with friends. Share the knowledge!
  2. Try to imagine the scene and then find ways to create it.