Euclid s Muse Directions

Transcription

1 Euclid s Muse Directions First: Draw and label three columns on your chart paper as shown below. Name Picture Definition Tape your cards to the chart paper (3 per page) in the appropriate columns. Name the shape and write a definition if the card is a picture. Draw a picture and write a definition if the card is a name. Name the shape and draw a picture if the card is a definition.

2 Euclid s Muse Directions First: Draw and label three columns on your chart paper. Tape your cards to the chart paper (3 per page) in the appropriate columns. Name the shape and write a definition if the card is a picture. Draw a picture and write a definition if the card is a name. Name the shape and draw a picture if the card is a definition. Second, as a group: Rotate to the next table and check the pictures and definitions. Put an asterisk, using your group pen, if you agree with a name, picture, and definition. Put an M if you disagree with any part and, using your group pen, write your modification or correction. Put a question mark if you have a question or would like to discuss the item. Repeat the rotation until you have reviewed all the charts. * We agree with the name, picture, and definition. M We disagree or want to add something. Our Modifications appear in our group color.? We would like to discuss or have questions about this item.

3 Euclid is thought to have been a Greek mathematician who taught in Alexandria around 300 B.C. It is possible that he was the founder of its most famous mathematical school. Some theories suggest that his name is applied to the work of a group of mathematicians that made up the school. Euclid is best known for the multivolume Elements, the most widely known mathematical books of classical times books still used in many geometry classes today.... he introduces quite a number of definitions... Indeed, Elements begins with definitions and postulates. Euclid s Biography

4 Euclid s Sample Definitions A straight line is a line that lies evenly with the points on itself. A circle is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure equal one another. A diameter of a circle is any straight line drawn through the center and terminated in both directions by the circumference of the circle, and such a straight line also bisects the circle. Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle is that which has two of its sides alone equal, and a scalene triangle is that which has its three sides unequal.

5 Euclid s Muse: Words and Definitions 1. acute triangle a triangle in which each of the three angles is less than 90º 2. altitude a line segment that shows the height of a figure; or, in a triangle, the line segment drawn from the vertex of an angle perpendicular to the opposite side 3. angle a geometric figure made of two rays or two line segments that share the same endpoint, called a vertex 4. circle the set of all points in a plane that are equidistant from a given point 5. circumference the distance around a circle 6. congruency having the same shape and size 7. degree a unit for measuring angles; 360 of these make a complete revolution around a point 8. diameter the line segment passing through the center of a circle and connecting two points on the circumference of a circle 9. hypotenuse the side of a right triangle that is opposite the right angle 10. isosceles triangle a triangle with two congruent sides 11. line a set of points that form a straight path in two directions that are opposite each other 12. obtuse triangle a triangle that has one angle greater than 90º 13. octagon a polygon with eight sides

6 Euclid s Muse: Words and Definitions continued 14. parallelogram a quadrilateral with opposite sides that are parallel 15. pentagon a polygon with five sides 16. perpendicular meeting at right angles 17. plane a flat surface that extends forever in all directions 18. plane figure a geometric shape that lies entirely in one plane 19. polygon a closed figure made of three or more sides or line segments 20. quadrilateral a polygon with four sides 21. radius the line segment from the center of the circle to a point on its circumference 22. ray a part of a line that includes one endpoint and extends out from that point indefinitely 23. rectangle a quadrilateral with four right angles 24. regular polygon a polygon with all sides congruent and all angles equal 25. right triangle a triangle that has an angle of 90º 26. scalene triangle a triangle that has no congruent sides 27. square a regular, four-sided polygon 28. straight angle an angle of 180º

7 Glossary Geometry and Measurement of Plane Figures angle Geometric figure made of 2 rays or 2 line segments that share the same endpoint, called a vertex. area The number of square units in a region. congruent Having the same shape, size, and/or measure. degree A unit for measuring angles. irregular polygon A polygon in which not all the sides are congruent and/or not all the angles have the same measure. line A set of points forming a straight path in 2 directions that are opposite each other. perimeter The distance around the outside of a shape or figure. plane A flat surface that extends forever in all directions. point A location in space. polygon A closed shape made up of a minimum of 3 line segments. quadrilateral A polygon with 4 sides. rectangle A quadrilateral with 4 right angles.

8 Glossary (continued) regular polygon A polygon in which all the sides are congruent and all the angles have the same measure. triangle A polygon with 3 sides.

9 Euclid s Muse Euclid s Muse Euclid s Muse Cards (1 of 11) Euclid s Muse

10 11 11 line line line Euclid s Muse Cards (2 of 11) 11

11 plane figure 18 polygon 19 radius Euclid s Muse Cards (3 of 11) 21

12 2 3 altitude angle degree Euclid s Muse Cards (4 of 11) 7

13 24 26 a polygon with all sides congruent and all angles equal a triangle that has no congruent sides an angle of 180 Euclid s Muse Cards (5 of 11) 28

14 20 12 a polygon with four sides a triangle that has one angle greater than 90 meeting at right angles Euclid s Muse Cards (6 of 11) 16

15 5 6 9 the distance around a circle having the same shape and size the side of a right triangle that is opposite the right angle Euclid s Muse Cards (7 of 11)

16 17 13 a flat surface that extends forever in all directions Euclid s Muse Cards (8 of 11) 15

17 22 14 Euclid s Muse Cards (9 of 11) 23

18 10 1 Euclid s Muse Cards (10 of 11) 25

19 27 4 Euclid s Muse Cards (11 of 11) 8