Here is a list of very important questions that students will answer from viewing various URL's pertinent to this lesson.

Make sure students answer the questions in complete sentences (not one word answers).

Ancient Geometry (history of)
http://members.aol.com/bbyars1/contents.html
1.  Who was the most famous geometry teacher?
Euclid, who lived 300 B.C. in Alexandria.
2.  Why was John Playfair important to geometry?  Describe in your own words.
He proved that Euclids fifth postulate was correct.
3.  Name Euclid's five axioms.
    1.  Things that are equal to the same thing are also equal to one another.
    2.  If equals are added to equals, the wholes are equal.
    3.  If equals are subtracted from equals, the remainders are equal.
    4.  Things that coincide with one another are equal to one another.
    5.  The whole is greater than the part.

Tangram history
http://www.teleport.com/~sgc/tangrams.htm
1.  Can you guess the 6 animal shapes?
I think the six animal shapes are a scorpion, bird, bear. whale, rabbit and a bird..  (Answers may vary according to what the student may see.)
2.  Who recommends the pattern games?
The International Tangrams Society recommends the pattern games.
http://www.stargraphics.com/tansoc.htm
Tangram history
http://www.geocities.com/TimesSquare/Arcade/1335/tanhist.htm
 1.  When was the earliest known Chinese book found?
The earliest known Chinese book was found in 1813.
 2.  Who was the tangram puzzle game intended for?
The tangram puzzle game was intended for women and children.
 3.  What happened in the 19th century?
Tangrams became popular in the 19th century.
 4.  Where did tangrams become popular?
Tangrams became popular in Europe and America.
 5.  What types of materials were used to make the tangram sets during this time?
Ivory, wood and fired clay was used to make the tangram sets.
 6.  Who was the author and what was the title of the book that came out in 1903?
Sam Loyd wrote a book called The Eighth Book of Tan.
 7.  What was the book about?
The book was about the history of tangrams, famous people, and historical events.
 8.  What was wrong with the book?
The book was not true, it was a joke.
 9.  How many patterns were in the book?
There were 600 patterns in the book.
10.  What are the rules for solving a tangram puzzle?
You must use all seven pieces, they must lay flat and touch and none may overlap.

Tangrams
http://www.careergroup.com/chinesetangrams.html
1.  Identify the seven figures.
The figures are a pipe, person, goose, candle, bird, person running and a teapot.  (Answers may vary according to what the student may se.)
2.  Name the pieces of the tangram.
There are five triangles, a square and a rhombus.
3.  How many characters can be created using the tangram set?
Three hundred characters can be created using the tangram set.
4.  How many other pieces can be used to create or solve puzzles?
Ten and fifteen pieces can be used to create and solve a puzzle.
http://www.geocities.com/TimesSquare/Arcade/1335/index.htm

Activity
http://www.edc.org/LTT/ConnGeo/tangrams.html
Use two triangles to create a parallelogram, a square, and a bigger triangle and find the area of each.

Isosceles Triangle Conjectures
http://www.geom,umn.edu/~dwiggins/conj13.html
1.  What are base angles?
Two angles that are equal measure.
2.  If a triangle is isosceles, then the ___________________________________.
Base angles are congruent.

Isosceles Triangle
http://tqd.advanced.org/2918/geo/isosceles.triangle.html
1.  Define isosceles triangle.
A triangle with at least two sides congruent.
2.  Draw the diagram you see.

http://www.treasure-troves.com/math/IsoscelesTriangle.html
1.  Where does the word Isosceles come from?
It comes from Greece.
2.  Iso means ____________________and skelos means __________________________.
Iso means same and skelos means leg.
 
 

Click HERE for student copy.