WORD BANK FOR GEOMETRY SURVEY

Transcription

1 WORD BANK FOR GEOMETRY SURVEY length perimeter two-dimensional 2-D 3-D line segments milk Tangram similarities horizontal four tans vertical parallel rotation line of symmetry plane region spatial size diagonal perpendicular translation three-dimensional reflection tessellation or transformation triangles line angle quadrilateral closed polygon inside around degrees congruent equal end points width outside eight 180 three 360 two Isosceles right triangles area similar classified 11th Annual W&M Mathematics Education Day February 26, 2008

2 Fill in the blanks with terms from the word bank provided. 1. A has an unlimited number of points and continuously extends from one direction to the other. 2. Lines have only one dimension,. 3. Part of a line, marked by, is called a. 4. A closed figure made with line segments is called a. 5. The combination of two line segments at a common point is called an. 6. Draw a 90 angle and label the angle. 7. Two dimensional shapes have and. 8. A is a flat surface that extends on and on in all directions. 9. Draw 4 points and connect them with line segments. 10. This shape is called a 11. Another name for the shape in question #9 is, because it has edges or sides. 12. Lines that are drawn from the top to the bottom of the plane are called lines.

3 13. lines are drawn from one side of the plane to the other and are to the edges. 13. lines can be connected from a square s top right point and the bottom left point in the interior region. 14. Three- sided polygons are called. 15. A polygon can be called a, because it has boundaries and doesn t continue on forever and forever in all directions. 16. shapes are used to draw forms. 17. The sum of a polygon s is called the of that shape. 18. In a glass, if you add milk to milk, and add milk again, then you will have a glass of. 19. For perimeter, the unit being added is length, therefore the total sum of these units will have a value of. 20. With polygons, there are regions:. 21. The perimeter of a polygon is the region of the shape. 22. A fence around a pool is an example of. 23. How many sides does an octagon have?.

4 24. On a separate page, draw each of the basic geometric shapes you ve studied in math and label its parts: length, width, height, and diagonals. 25. are the unit measurements of angels. 26. The sum of the angles of a triangle are. 27. The sum of the angles of a square are. 28. triangles can be combined to make a square. 29. Congruence means that two shapes are in size to each other. 30 The region inside of a polygon is called its. 31 Polygons have groups of shapes that are. They are, or grouped according to their, even though their vary. 32. are Chinese puzzle pieces that can be used to form a square and many other shapes. 33. A popular math puzzle that has 7 individual pieces which can be used to explore the geometric properties of shapes is called a. 34. The line where a figure is reflecting an indentical, but flipped figure is called the of. 35. The movement of a shape around one fixed point is called.

5 36. Sliding a shape from one position in a plane to another position in the same plane is called. 37. Repeating and changing shapes in a way that creates a geometric pattern is called or. 38. Polyhedrons are versions of geometric shapes. 39. awareness is the ability to predict and plan a project using symbols to represent areas, or spaces within the plan. 40. The sum of the angles of any polygon is at least. REMARKS / COMMENTS:

6 FINDING THE SUM OF INTERIOR ANGLES Shape # of sides (n) # of angles # of diagonals # of triangles Sum of Angles How did I find the sum Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon Icosagon n-gon

7 PARTS TO WHOLE AND WHOLE TO PARTS EXPLORATION A FRACTION EXPERIENCE WITH THE TANGRAM WATER GARDEN copyright Sandy Manning 2007 Using the tans of the Tangram, experiment with the questions below: Create a table to show drawings of the process you are using to answer these challenges. 1. If is 1 unit, which shape would be equal to ½ a unit? 2. If is ½ unit, which shape is equal to 1 unit? 3. How many other combinations can you make of this relationship, using different tans? 4. If is ¼ unit, which shape is equal to 1 unit? 5. If is one unit, which shape is equal to 3 units? 6 units? 6. Make a shape 2 ½ ( the chosen unit). 2.5 X the unit. Draw the new shape: 7. Make a shape 4 ( the chosen unit). 4 x the unit. Draw your unit and the finished figure. 8. What kind of shape did you make? Can you make more than 1? More than 3? 9. Continue with explorations of your own. Describe what discoveries you have made in written form. 10. Share your findings with another classmate. Do you both have some that are similar? Are there discoveries unique to your explorations? Created by: Sandy Manning 11th Annual W&M Mathematics Education Day February 26, 2008

8 CONSTRUCTING YOUR OWN TANGRAMS Reproduced by: Mary Collins, Sandy Manning, Erica Sheehan with permission from Drexel University, copyright 2008, by The Math Drexel ( All rights reserved. Materials: A rectangular piece of paper suitable for folding, scissors, ruler Activities A complete set of tangrams consists of seven pieces: a small square two small congruent triangles two large congruent triangles a medium-size triangle a parallelogram You can make your own set of tangrams from a single piece of paper. Just follow these simple steps: 1. Fold a rectangular piece of paper so that a square is formed. Cut off the extra flap.

9 2. Cut the square into two triangles. 3. Take one triangle and fold it in half. Cut the triangle along the fold into two smaller triangles. 4. Take the other triangle and crease it in the middle. Fold the corner of the triangle opposite the crease and cut. Reproduced by: Mary Collins, Sandy Manning, Erica Sheehan with permission from Drexel University, copyright 2008, by The Math Drexel ( All rights reserved.

10 5. Fold the trapezoid in half and fold again. Cut along both folds. 6. Fold the remaining small trapezoid and cut it in two. Reproduced by: Mary Collins, Sandy Manning, Erica Sheehan with permission from Drexel University, copyright 2008, by The Math Drexel ( All rights reserved.

11 References: Crowley, Mary L., The van Hiele Model of the Development of Geometric Thought. In Learning and Teaching Geometry, K-12, 1987 Yearbook of the National Council of Teachers of Mathematics, edited by Mary Montgomery Lindquist, pp Reston, VA: National Council of Teachers of Mathematics, Griffin, Coralie. The van Hiele Model of Geometric Thought. 10 th Annual Mathematics Education Day, The College of William and Mary, Oct. 24, Locher, J.L., ed. The World of M.C. Escher. Harry N. Abrams, Inc. NewYork, Mason, Marguerite. The van Hiele Levels of Geometric Understanding [Electronic Version], Geometry: Exploration and Applications, Boston: McDougal Littell,1998, p.4-8. Retrieved Sept. 29, 2005 from National Council of Teachers of Mathematics, Exploring Shapes with Tangrams. In Navigating Through Geometry in Grades 6-8. Reston, VA: NCTM, 2004: pp Thatcher, Debra H., The Tangram Conundrum. Mathematics Teaching in the Middle School. 6(March 2001) Tompert, Ann. Grandfather Tang s Story. New York: Crown Publishers, Informative Websites: The National Council of Teachers of Mathematics, Inc. The National Library of Virtual Manipulatives-an awesome site. : software downloads, tangram history. : examples of tangrams. : steps to creating a tangram. : samples for puzzles and directions : games to play : another tangram game site : a printable tangram pattern. : presents an on-line game. : tangram puzzle shapes. : lessons/activities related to tangrams. : large collection of puzzles : free tangram software creator of Scientific Calculator Lessons for VDOE, location of the SOLs for the State of Virginia, and more. a catalogue of tangram-related items to buy a Non-Profit resource of lesson plans and networking opportunities with other teachers. Videos made with tangrams: a football video, illustrated by tangrams. the original tangram video.