03/31/11 3-D Figures 2 Entry Task:

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Presentation transcript:

03/31/11 3-D Figures 2 Entry Task: LT: I will identify various 3-D figures. Entry Task: If the figure shown is folded into a cube so that 6 is on the top, what number would be on the bottom? 2 Today’s Plan: -Warm-up -3-D figures LT: I will identify various 3-D figures.

9-1 Introduction to Three-Dimensional Figures Course 2 9-1 Introduction to Three-Dimensional Figures Three-dimensional figures, or solids, have length, width, and height. A flat surface of a solid is a face. An edge is where two faces meet, and a vertex is where three or more edges meet. The face that is used to classify a solid is a base. The surfaces of a three-dimensional figure determine the type of solid it is. A polyhedron is a three-dimensional figure whose surfaces, or faces, are all polygons. Prisms and pyramids are two types of polyhedrons.

03/31/11 3-D Figures How many faces does each object have? 1. 2. 3. 4. Today’s Plan: -Warm-up -3-D figures LT: I will identify various 3-D figures.

03/31/11 3-D Figures Prisms Not Prisms Today’s Plan: -Warm-up -3-D figures LT: I will identify various 3-D figures.

9-1 Introduction to Three-Dimensional Figures Prisms Course 2 9-1 Introduction to Three-Dimensional Figures Prisms A prism has two parallel congruent bases. The bases can be any polygon. The other faces are parallelograms. A cube is a special prism whose faces are all congruent squares.

9-1 Introduction to Three-Dimensional Figures Pyramids Course 2 9-1 Introduction to Three-Dimensional Figures Pyramids A pyramid has one base, and the other faces are triangles. A regular tetrahedron is a special pyramid whose faces are all congruent equilateral triangles.

9-1 Introduction to Three-Dimensional Figures Course 2 9-1 Introduction to Three-Dimensional Figures Prisms and polygons are named by the shapes of their bases.

Additional Example 1A: Naming Prisms and Pyramids Course 2 9-1 Introduction to Three-Dimensional Figures Additional Example 1A: Naming Prisms and Pyramids Identify the base or bases of the solid. Then name the solid. A. There are two bases, and they are both octagons. The other faces are parallelograms. The figure is an octagonal prism.

Additional Example 1B: Naming Prisms and Pyramids Course 2 9-1 Introduction to Three-Dimensional Figures Additional Example 1B: Naming Prisms and Pyramids Identify the base or bases of the solid. Then name the solid. B. There is one base, and it is a pentagon. The other faces are triangles. The figure is a pentagonal pyramid.

9-1 Introduction to Three-Dimensional Figures Try This: Example 1A Course 2 9-1 Introduction to Three-Dimensional Figures Try This: Example 1A Identify the base or bases of the solid. Then name the solid. A. There are two bases and they are both triangles. The other faces are parallelograms. The figure is a triangular prism.

9-1 Introduction to Three-Dimensional Figures Try This: Example 1B Course 2 9-1 Introduction to Three-Dimensional Figures Try This: Example 1B Identify the base or bases of the solid. Then name the solid. B. All faces are congruent squares. The figure is a cube.

9-1 Introduction to Three-Dimensional Figures 2 bases Course 2 9-1 Introduction to Three-Dimensional Figures 2 bases A cylinder has two parallel, congruent circular bases connected by a lateral surface. Lateral surface A cone has one circular base and a lateral surface. The lateral surface of a cone comes to a point called its vertex. 1 base Lateral surface Vertex

If you get stuck look at pages 472-473 03/31/11 3-D Figures Assignment Pg 474 #1-16 If you get stuck look at pages 472-473 Today’s Plan: -Warm-up -3-D figures LT: I will identify various 3-D figures.