| Explore Geometry |
Bisected Chord |
A chord is a line segment where the endpoints of the segment are on a
circle. When one bisects the chord of a circle, some interesting
properties emerge. |
| Explore Geometry |
How
Eratosthenes Calculated the Circumference of the Earth |
While Eratosthenes was not the first to estimate the circumference
of the earth, his was the most accurate of the ancient estimates. Here
is how he did it.
PDF Version |
| Geometric Proofs |
Proof:
The summit angles of a Saccheri Quadralateral are Congruent |
A Saccheri Quadralateral is an important construction in Hyperbolic
Geometry. It can be used to show many useful properties of Hyperbolic
Geometry.
|
| Geometric Proofs |
Proof:
The segment connecting the midpoints of the summit and base line
segments of a Saccheri Quadralateral is perpendicular to both. |
A Saccheri Quadralateral shows what parallel means in Hyperbolic
Geometry.
|
| E-Books |
Chinese
Education From a Western Viewpoint by Yen Sun Ho |
I find this to be an interesting book. Through Yen Sun Ho's comparison
of Chinese education to European and U.S. education, he provides a snapshot
of education in 1912. Of particular interest to me was the comparison of
the cultures and philosophies that surrounded these educational systems.
|
| Worksheet |
Chinese Proof
of the Pythagorean Theorem |
The Chinese proof of the Pythagorean Theorem is easier to teach
and understand than the Euclid's proof from his book Elements. This
worksheet includes a cutout to reproduce the proof with paper shapes.
|
| Worksheet |
Cramer's Rule Worksheet |
This worksheet is a learning aid for teaching Cramer's rule.
|
| Worksheet |
How Eratosthenes Calculated the Circumference of the Earth. |
This one page worksheet briefly reviews the history about and methods
used by Eratosthenes when he calculated the circumference of the earth.
|
| Lesson Plan |
Finding the Circumference of the Earth |
This lesson focuses on using the estimation of the circumference of the
earth to reinforce basic geometric properties of circles and parallel lines.
The lesson continues with using Eratosthenes method to estimate the
circumference of the earth.
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| Worksheet |
Circumference of the Earth Worksheet |
This worksheet provides a framework for using Eratosthenes method for measuring
the circumference of the earth. HERE ******************************************************
|
| Lesson Plan |
Introduction to Negative Numbers |
This lesson introduces the student to negative numbers using the
concepts of magnitude and direction in both visual and kinesthetic
frameworks.
|
| Rubric |
Rubric for negative numbers creative activity. |
This rubric accompanies the lesson Introduction to Negative Numbers.
|
| Rubric |
Rubric for student's descriptions of negative numbers. |
This rubric accompanies the lesson Introduction to Negative Numbers.
|
| Geometric Proofs |
Proof - A trapezoid is isosceles if
and only if the two base angles are equal. |
An isosceles trapezoid is a trapezoid where the non-parallel sides are
equal in length.
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