Geometry Unit Use the interactive site to locate and record the following information on the attributes of the given solids (see attached forms). If you need a wooden solid to help with this activity, let me know. htt p:// Introduction: We live in a _____________- ___________________ world. All objects you can see or touch have three-dimensions that can be measured. These are: _____________, ______________, and _______________. The abbreviation for three-dimensional is _______. Name three objects in the classroom that are three dimensional. ________________ __________________ __________________
3D Shapes: P olyhedra: A three-dimensional shape whose _________ are polygons is known as a ____________________. This term comes from the Greek words poly, which means ________, and hedron, which means ________. So…. A polyhedron is a 3-dimensional object with many faces. Examples of polyhedrons are: cube and rectangular prism The faces on a cube are ___________. The faces on a rectangular prism are ______________________. Explore the site to familiarize yourself with the nets of a cube, rectangular prism, cylinder, cone, and a square and triangular pyramid.
Click on the cube..... (back side of Worksheet) Click on the Cone... ( Workbook Practice)
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
1. a. How many bases does this solid have? b. What shape is the base? 2. a. How many faces does this solid have? b. What shape is/are the face(s)? 3. How many vertices does this solid have? 4. Name this shape.
3-D Shapes Definitions Teachers' notes
3-D Shapes Definitions Teachers' notes
Next Cube (Hexahedron): A polyhedron with 6 faces of congruent squares. It is also known as a regular hexahedron and is one of the 5 Platonic Solids. Definitions
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Properties Back to Title Page Vertices: Faces: Edges:
Next Rectangular Prism: A polyhedron with 6 faces of rectangles. It is sometimes called a cuboid. Definitions
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Properties Back to Title Page Vertices: Faces: Edges:
Next Cone: A solid with one circular base. The points on this circle are joined to one point outside the circle. Definitions
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Properties Back to Title Page Vertices: Faces: Edges:
Next Cylinder: A cylinder is a solid with two circular bases (circles) that are congruent and parallel Definitions
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Properties Back to Title Page Vertices: Faces: Edges:
Next Square Pyramid: A solid with the base that is a square. The edges of the base are joined to a point outside the base. Definitions
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Properties Back to Title Page Vertices: Faces: Edges:
Definitions Back to Title Page circle:The set of all points in a plane that are the same distance cube: a polyhedron in which all of the faces are congruent squares. cuboid: another name for a rectangular prism. cylinder: a solid with two circular bases that are ≅ and parallel. edges: the segments formed by intersecting faces face: The flat surfaces of a polyhedron. Each face is a polygon. Hexahedron: the polyhedron with six faces. Platonic Solid: A polyhedron whose faces are all congruent polygons. polygon: A simple closed figure in a plane formed by three or more segments. polyhedron: a 3-D solid fiqure with flat surfaces or faces rectangle: A quadrilateral with two pair of parallel sides and all angles are right angles. regular hexahedron: Another name for a cube. rectangular prism: a prism whose faces are regular polygons. square: a quadrilateral with four congruent sides and four congruent angles. vertices: The intersection of the edges.
Teacher Notes Back to Title Page This is a teacher presentation lesson that has pictures and examples of the geometric solids that is in the 5th grade curriculum in Virginia. SOL 5.16: The student will identify, compare, and analyze properties of 3D (solid) geometric shapes (cylinder, cone, cube, square pyramid, and rectangular prism). Click on the shape on the title page to access the information about the solid. Each solid has three pages beginning with a definition and picture, followed by the picture and one "net" that can be folded to make the solid. A discussion on this page could be about what is another variation of the net that would still be able to be folded to make the solid. The third page is a properties page that allows for discussion of properties of the solid. Click on the Definitions object to link to a page of definitions. Google Geometric Solids or Mathnets or NCTM Illuminations for additional information about some of the solids. Definitions
Attachments Workbook page pdf Geometry_Unit_Solids_Practice.pdf