"Wheel of Theodorus Project Worksheets"

ADVERTISEMENT
ADVERTISEMENT

Download "Wheel of Theodorus Project Worksheets"

Download PDF

Fill PDF online

Rate (4.7 / 5) 24 votes
Page background image
Wheel of Theodorus Project Grading Rubric
Grading rubric allows student to track their progress and calculate total possible points earned for
the completion of this assigned project. The points listed represent the maximum total points
available for satisfactory completion of each assigned task. Based on the student’s answers and
quality of work on these assigned tasks; all, part or none of the points may be earned.
Construction and Labeling of the Wheel: (25 points)
Wheel contains a minimum of 17 triangles. (5 pts)
_________
True center is marked clearly with minimal radius. (5 pts)
_________
All triangles constructed properly with no gaps or overlays. (5 pts)
_________
All right angles and legs are marked correctly. (5 pts)
_________
Each hypotenuse length is marked correctly (radical form). (5 pts)
_________
Calculation Chart: (40 points)
Pythagorean Theorem is written at top of chart (10 pts)
_________
All entries completed for the first 17 triangles. (10 pts)
_________
Measure for hypotenuse, shown in radical form. (10 pts)
_________
Measure for hypotenuse, shown in decimal form . (10 pts)
_________
Project Questions: (20 points)
Question #1 (4 pts)
_________
Question #2 (4 pts)
_________
Question #3 (4 pts)
_________
Question #4 (4 pts)
_________
Question #5 (4 pts)
_________
Creativity: (15 points)
Neatness and showing all work for each step. (3 pts)
_________
Design is original. (3 pts)
_________
Design is decorated with attention to detail (3 pts)
_________
Effective incorporation of the wheel into the theme
of the design. (3 pts)
_________
Color is used effectively unless B&W contrast is part of
intentional design. (3 pts)
_________
Total Points (out of 100)
_________
Wheel of Theodorus Project Grading Rubric
Grading rubric allows student to track their progress and calculate total possible points earned for
the completion of this assigned project. The points listed represent the maximum total points
available for satisfactory completion of each assigned task. Based on the student’s answers and
quality of work on these assigned tasks; all, part or none of the points may be earned.
Construction and Labeling of the Wheel: (25 points)
Wheel contains a minimum of 17 triangles. (5 pts)
_________
True center is marked clearly with minimal radius. (5 pts)
_________
All triangles constructed properly with no gaps or overlays. (5 pts)
_________
All right angles and legs are marked correctly. (5 pts)
_________
Each hypotenuse length is marked correctly (radical form). (5 pts)
_________
Calculation Chart: (40 points)
Pythagorean Theorem is written at top of chart (10 pts)
_________
All entries completed for the first 17 triangles. (10 pts)
_________
Measure for hypotenuse, shown in radical form. (10 pts)
_________
Measure for hypotenuse, shown in decimal form . (10 pts)
_________
Project Questions: (20 points)
Question #1 (4 pts)
_________
Question #2 (4 pts)
_________
Question #3 (4 pts)
_________
Question #4 (4 pts)
_________
Question #5 (4 pts)
_________
Creativity: (15 points)
Neatness and showing all work for each step. (3 pts)
_________
Design is original. (3 pts)
_________
Design is decorated with attention to detail (3 pts)
_________
Effective incorporation of the wheel into the theme
of the design. (3 pts)
_________
Color is used effectively unless B&W contrast is part of
intentional design. (3 pts)
_________
Total Points (out of 100)
_________
THEODORUS [OF CYRENE]
FACT SHEET
Birth
th
Theodorus [of Cyrene], was born in the 5
century around 425 BC,
in Cyrene Greece
Theodorus moved to Athens, Greece where he spent most of his life and was
certainly in Athens at a time when Socrates was alive.
Education and Career
Theodorus [of Cyrene], was a Greek Mathematician and a Pythagorean,
(a member of devoted followers of Pythagoras), and a pupil of Pythagoras and
Protagoras, but also a teacher and tutor of mathematics to Plato and Theatus.
Our knowledge of Theodorus comes from Plato who wrote about him in his work
Theaetetus
Sophist.
and the
He was distinguished in astronomy, arithmetic, music
and educational subjects, and is best remembered by mathematicians for his
contribution to the development of irrational numbers and it is this aspect of his
work which Plato referred to.
Circumstances of Death
Theodorus [of Cyrene] was a philosopher of the Cyranic School. He lived in
both Greece and Alexandria, before ending his days in his native city of Cyrene
BC
where he died in 398
. He was condemned to die by being forced to drink poison.
THEODORUS [OF CYRENE]
PROJECT QUESTIONS
1. When and where was Theodorus born?
______________________________________________
______________________________________________
2. Where did Theodorus spend most of his working life?
______________________________________________
3. Name one of his most influential teachers.
______________________________________________
4. Name one of his most influential pupils.
______________________________________________
5. According to legend; how did Theodorus die?
______________________________________________
WHEEL OF THEODORUS
CALCULATION CHART
1. Determine the length of each hypotenuse using the Pythagorean Theorem.
2. Record the measures of both (leg a) and (leg b)
3. Record hypotenuse value in its radical form
4. Using a calculator; find and record the equivalent decimal number to the radical.
5. State the Pythagorean Theorem: __________________________________
Triangle
Measure
Measure
Measure of Hypotenuse
Measure of Hypotenuse
of Leg a
of Leg b
(in radical form)
(in decimal form)
1
1
1
2
1.414213562
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Directions:
Start by marking a central point on your paper that all triangles will rotate around and
draw a right triangle with both legs being 1 inch in length. Use a ruler, to be exact, and a
note card to help make right angles. Draw the hypotenuse. Now use the hypotenuse of
this triangle as the leg of the next triangle and make the second leg 1 inch in length.
Again, make sure to use a ruler and note card for accuracy. Draw in the hypotenuse.
Continue this process until all triangles have been created.
Now outline your wheel and turn it into a picture. Be creative! Be colorful, and use your
imagination.
Page of 4