Transcript Wheel of Theodorus - Murchison Middle School

Wheel of
Theodorus
What inspirals you?
How do you draw
an irrational number?
•
Who is Theodorus of Cyrene?
•
Drawing the Wheel of
Theodorus
•
Math into Art
•
What can we learn from the
Wheel of Theodorus?
THE WHEEL
OF
THEODORUS
SUPPLIES
 Blank white paper
 Pencil
 Ruler
 Notecard
STEP ONE:
On the corner of your notecard,
measure one inch on each side.
THE WHEEL
OF
THEODORUS
STEP TWO:
Place the notecard in the CENTER
of your white paper. Trace the
corner of your paper so you create
a right angle.
THE WHEEL
OF
THEODORUS
STEP THREE:
Use your note card as a straight
edge and close off your right angle
by drawing the hypotenuse.
THE WHEEL
OF
THEODORUS
STEP FOUR:
Now find the length of the
hypotenuse using the Pythagorean
Theorem. Make sure to show your
work on a separate sheet of paper.
THE WHEEL
OF
THEODORUS
STEP FIVE:
Line up your note card along the
hypotenuse. Trace only the bottom
of the note card to create another
right angle.
THE WHEEL
OF
THEODORUS
STEP SIX:
Draw in the hypotenuse. You are
on your way to drawing the Wheel
of Theodorus.
THE WHEEL
OF
THEODORUS
FINISHING THE WHEEL:
Continue making right triangles
until you have AT LEAST ten. For
each of these ten triangles make
sure that you continue to show
your work for finding each new
hypotenuse. You may make more
triangles, but you only need
calculations for the first ten.
Math into Art
Learning from the Wheel
 Answer the questions about
Pythagoras, Theodorus, and
the Wheel you constructed
 Include picture, calculations
 Graded on:
 IB Rubric B – Investigating
Patterns
 IB Rubric D – Reflection in
Mathematics
 Presentation
 Calculations
Word Bank
 Pythagoras
 Theodorus
 Right triangle
 Hypotenuse
 Legs
 Right angle
 Irrational number
DUE THURS., FEB. 21