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Two and Three Dimensional Figures

Two and Three Dimensional Figures. 0406.4.5    Determine if a figure is a polygon 0406.4.21  Recognize two-dimensional faces of three-dimensional shapes. . Polygon. A closed, flat shape with straight sides. Polygons. Not Polygons. Two-dimensional Figures.

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Two and Three Dimensional Figures

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  1. Two and Three Dimensional Figures 0406.4.5    Determine if a figure is a polygon 0406.4.21  Recognize two-dimensional faces of three-dimensional shapes.

  2. Polygon A closed, flat shape with straight sides. Polygons Not Polygons

  3. Two-dimensional Figures A two-dimensional figure has only two dimensions, it does not create an illusion of depth. It is a flat figure.

  4. A shape that takes up space, it is not a plane figure. Geometric Solids cylinder cube Rectangular prism pyramid cone

  5. Geometric Face A flat surface of a geometric solid. A cube has six faces. A square pyramid has five faces. A cylinder has two faces.

  6. How many faces would these figures have? Square pyramid cylinder cube

  7. Three-dimensional Figures A three-dimensional figure has three dimensions. It has the appearance of depth, it is not just a flat figure.

  8. Activities • Using different geometric solids, put a small post it note on each face. The students can then count the post it notes to help determine how many faces the object has. • Read The Button Box. When finished, find the volume of any small box and try to predict how many buttons would fit in the student’s box. • Play I Have, Who Has to strengthen vocabulary skills and understanding of terms. (cards are on last slides) • Read The Hundred Penny Box. Have students create paper boxes that will hold 100 pennies.

  9. Literature Sources Sir Cumference and the Sword in the Cone by Cindy Neuschwander, illustrated by Wayne Geehan Charlesbridge Pub. 2003 The Hundred Penny Box by Sharon Bell Mathis, illustrated by Diane and Leo Dillon Puffin Pub. 2006 Mummy Math: An Adventure in Geometry by Cindy Neuschwander, illustrated by Bryan Langdo Henry Holt & Co. 2005

  10. Grandfather Tang’s Story by Ann Tompert, Robert Andrew Parker illustrator Dragonfly Books 1997 The Adventures of Penrose the Mathematical Cat by Theoni Pappas Wide World Pub. 1997 Math for Smarty Pants by Marilyn Burns Little, Brown Young Pub. 1997 The Button Box by Margarette S. Reid, Sarah Chamberlain illustrator, Puffin 1995

  11. Activities, quizzes, and more http://illuminations.nctm.org/LessonDetail.aspx?ID=U83 http://www.math.com/school/subject3/lessons/S3UL1GL.html http://abcteach.comfree/t/three_dimen_b.pdf http://www.eduplace.com/math/hmtxm/problem/5/5hmmtx_14_03_ps.pdf http://mathforum.org/alejandre/workshops/net.html

  12. http://www.mathinmotion.com/whalefld.html http://www.numbernut.com/basic/symbol_3d.shtml

  13. I have a cone. Who has a figure with three sides? I have a triangle. Who has the name of two figures that have the same size and shape? I have congruent figures. Who has a figure with five sides? I have an acute angle. Who has a figure that is a closed curved shape in which all points are the same distance from its center. I have a pentagon. Who has an angle that is less than 90 degrees? I have a circle. Who has a figure in which all sides are the same length.

  14. I have an equilateral triangle. Who has a figure with six sides. I have a hexagon. Who has a triangle with three sides of different lengths. I have a scalene triangle. Who has a straight collection of points extending without end. I have a line. Who has a figure with eight sides. I have an octagon. Who has a part of a line with two distinct endpoints. I have a line segment. Who has an angle that is more than 90 degrees.

  15. I have an obtuse angle. Who has lines that stay the same distance apart; lines that do not cross. I have parallel lines. Who has a triangle whose larges angle measures 90 degrees. I have a right triangle. Who has a quadrilateral with exactly one pair of parallel sides. I have a trapezoid. Who has a three dimensional solid with a polygon as its base and triangular faces that meet at a vertex. I have a pyramid. Who has any four-sided polygon. I have a quadrilateral. Who has an angle that forms a square corner and measures 90 degrees.

  16. I have a right angle. Who has a parallelogram with all four sides of equal length. I have a rhombus. Who has a round geometric solid having every point on its surface at an equal distance from its center. I have a sphere. Who has a rectangle with all four sides of equal length. I have a square. Who has a point of an angle, polygon, or polyhedron where two or more lines, rays, or segments meet. I have a vertex Who has the flat surface of a geometric solid. I have a face. Who has a three dimensional solid with a circular base and a single vetex.

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