User:Norm ebsary
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Norm Ebsary
email address: norm_ebsary@yahoo.com
School: Cooper City High School
School Web Site: CooperCityHigh.net
Math Teacher- Geometry and Algebra2
Hi!
Visit my Yahoo! Group website Mr. E's Geometry and Algebra Yahoo! Group
C02 Creating Teaching Materials
My plan is to teach Geometry using GeoGebra, from the beginning with fundamentals of points, lines, and planes to more advanced topics such as surface areas, volumes, translations, and trigonometry. The whole purpose of GeoGebra for teaching Geometry is for kinesthetic/tactile learners to constuct and model Geometry concepts, theorems, corollaries, and postulates.
Here is a good example: Methods to prove triangle congruence
SSS- 3 sides of one triagnle must be congruent to 3 sides of other triangle
SAS- 2 sides and the included angle of one triangle must be congruent to other triangle...
ASA- 2 angles and included side.......................................................
AAS- 2 angles and non-included side...................................................
In this example, students would utilize GeoGebra to construct corresponding angles and sides, provint these definitions of congruency.
My emphasis and what GeoGebra can do for Geometry, is to have the students prove all these theorems and postulates- without the 2 column and flow-through proofs that students are so repulsed by!
- Comments by Markus Hohenwarter: there is far too much text on the screen. You are mixing the dynamic worksheet, notes for a teacher and parts of paper worksheet (you can not write on screen, so the ________ fields are of no use). The comic font should not be used on web pages as it is not a standard font. This worksheet looks like a page from a specific textbook ("theorem 5.3"). You should split the different parts of your worksheet into several documents: dynamic worksheet for student activity, notes for teachers and maybe a pdf version of a paper worksheet.
The main goal should be: use only one screen for one worksheet.
GeoGebra Dynamic Worksheets for Geometry
Here is the 12 examples of using GeoGebra for exploring the Congruence and Similarities of triangles.
Geometry Dynamic Worksheet for Triangle Circumcenter
Circumcenter Proof:
Given: L,M, and N are perpendicular bisectors of triangle ABC sides A, B, and C respectively.
Prove by answering questions in the assignment below that: line segment AJ=BJ=CJ
Circumcenter Dynamic Worksheet
Geometry Dynamic Worksheet for Triangle Incenter
Triangle Incenter Dynamic Worksheet
Triangle Incenter GeoGebra File
Geometry Dynamic Worksheet for Triangle Centroid
Geometry Dynamic Worksheet for Triangle Orthocenter
Triangle Orthocenter Dynamic Worksheet
Triangle Orthocenter GeoGebra File
Geometry Dynamic Worksheet for Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is greater that the length of the third side.
Triangle Inequality Dynamic Worksheet
Triangle Inequality GeoGebra File
Triangle Inequality Lesson Plan
Geometry Dynamic Worksheet for Triangle SSS Inequality Theorem
Circumcenter Proof: Given: L,M, and N are perpendicular bisectors of triangle ABC sides A, B, and C respectively. Prove by answering questions in the assignment below that: line segment AJ=BJ=CJ
Geometry Dynamic Worksheet for Triangle SAS Inequality Theorem
SAS Inequality/Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle and the included angle in one triangle has a greater measure than the included angle in the other, then the third side of the first triangle is longer than the third side of the second triangle.
SAS Inequality Similarity Lesson Plan
Geometry Dynamic Worksheet for Triangle Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. These remote interior angles are the other 2 angles not adjacent to the exterior angle.
Exterior Angle Dynamic Worksheet
Geometry Dynamic Worksheet for Triangle Angle Bisector Theorem
Angle Bisector Theorem- an angle bisector in a triangle separates the appropriate side into segments that have the same ratio at the other two sides.
Triangle Angle Bisector Dyanmic Worksheet
Triangle Angle Bisector GeoGebra File
Geometry Dynamic Worksheet for Perimeters of Similar Triangles Theorem
Proportional Perimeter Theorem- If two triangles are similar, then the perimeters are proportional to the measures of the corresponding sides.
Similar Triangle Perimeter Dynamic Worksheet
Similar Triangle Perimeter GeoGebra File
Similar Triangle Perimeter Lesson Plan
Geometry Dynamic Worksheet for Triangle Altitude Theorem
Triangle Altitude Theorem- If two triangles are similar, then the measures of the corresponding altitudes are proportional to the measures of the corresponding sides.
Triangle Altitude Dynamic Worksheet
Triangle Altitude GeoGebra File
Similar Triangle Perimeter Lesson Plan
Geometry Dynamic Worksheet for Triangle Midsegment Theorem
Triangle Altitude Theorem- If two triangles are similar, then the measures of the corresponding altitudes are proportional to the measures of the corresponding sides.
Triangle Midsegement Dynamic Worksheet
Triangle Midsegment GeoGebra File
Triangle Midsegment Lesson Plan
