Erving Lighthouse Grant

What is MicroWorlds?

First Steps

Let's Dance

Project Files

Student Comments

Massachusetts State Geometry Standards

MicroWorlds Links

Erving Elementary School
 Logo Turtle Turns, Rotations
Pre-Ballet Exercise

  1. To rotate is to turn full circle. A full circle turn is ____________ degrees.
  2. A single rotation is _________ degrees.
  3. When the earth rotates once on its axis, it has spun _______ degrees.
  4. When the sun rotates once on its axis, it has spun ________ degrees.
  5. When the cute little turtle on Microworlds Beach rotates once on its axis, it has spun ____________ degrees.

 Be a turtle and rotate on one spot. Do not travel from that spot.

Now break up your rotation into a series of EQUAL arcs.

Rotations: Turtles Turning Full Circle

Turning

#

Of

Arcs

 

Degrees turned in each turn

Common Fraction of The Whole Circle

Decimal Fraction of The Whole Circle

Percent of The Whole Circle

 

Turning 360 degrees

 

in 1 arc

 

is one turn of

 

 

 

%

 

Turning 360 degrees

 

in 2 arcs

 

is two turns of

 

 

Turning 360 degrees

 

in 3 arcs

 

is three turns of

 

 

Turning 360 degrees

 

in 4 arcs

 

is four turns of

 

 

Turning 360 degrees

 

in 5 arcs

 

is five turns of

 

 

Turning 360 degrees

 

in 6 arcs

 

is six turns of

 

 

Turning 360 degrees

 

in 7 arcs

 

is seven turns of

 

 

Turning 360 degrees

 

in 8 arcs

 

is eight turns of

 

 

Turning 360 degrees

 

in 9 arcs

 

is nine turns of

 

 

Turning 360 degrees

 

in 10 arcs

 

is ten turns of

 

 

Turning 360 degrees

 

in 11 arcs

 

is eleven turns of

 

 

Turning 360 degrees

 

in 12 arcs

 

is twelve turns of

 

Homework:

  1. Use your safety compass to draw 12 same size circles on white paper.
  2. Use a protractor to divide them into the equal arcs the turtle dancer would make.

Label neatly.

Polygon Names

 1

 

uni

unit, unity, united, unify, union, unique,

uniform, unicycle, unison, unilingual

 2

 

 bi

 billion, binary, bicycle, bifocals, bilingual,

biped, bifold, biennial

 

 

 du, duo

 duet, dual, double, duo, duplicate, duplex

 

 

 twi

 twice, twenty= twice ten, twin

 3

 triangle

 tri

 trillion, tricycle, triple, trio, trinity,

trillium, triplicate, triathalon

 4

 quadrilateral

 quad

 quadrillion, quadruped, quadruple, quadrant, quadruplet, quadrennial

 

 

 quart

 quart, quarter, quartet

 5

 pentagon

 penta

 pentathalon, the Pentagon, pentameter

 

 

 quint

 quintillion, quintuplets, quintet

 6

 hexagon

 hex

 

 

 

 sex

 sextillion, sextet, sextuplet, sextant

 7

 heptagon

 hept

 heptameter

 

 

 sept

 septillion, September, septet

 8

 octagon

 oct

 octillion, October, octopus, octave (8 notes)

 9

 nonagon

 non

 nonillion

 

 

 nov

 November

 10

 decagon

 deca

 decahedron, decade, December

 deci

 decillion, decimal, decimeter

 11

 unidecagon

 unidec

 unidecillion

 12

 dodecagon

 dodec

duodec

 duodecillion, dodecahedron

 16

 hexadecagon

 hexadec

 hexadecimal

 

 

 circle

 cir

 circular, circuit, circus, cycle,

circumference, circulate, circumnavigate, circumvent, circumspect, circumstance