Nets and Drawings for Visualizing Geometry

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Presentation transcript:

Nets and Drawings for Visualizing Geometry Unit 1 Lesson 1

Nets and Drawings for Visualizing Geometry Students will be able to: • Represent three-dimensional figures using nets. Make isometric and orthographic drawings.

Nets and Drawings for Visualizing Geometry Key Vocabulary: Net Isometric drawing Orthographic drawing

Nets and Drawings for Visualizing Geometry A net is a two-dimensional diagram that you can fold to form a three-dimensional figure. A net shows all of the surfaces of a figure in one view.

Nets and Drawings for Visualizing Geometry Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. a.

Nets and Drawings for Visualizing Geometry Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. a. 3-D Cylinder

Nets and Drawings for Visualizing Geometry Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. b.

Nets and Drawings for Visualizing Geometry Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. b. 3-D Rectangular Prism

Nets and Drawings for Visualizing Geometry Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. c.

Nets and Drawings for Visualizing Geometry Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. c. 2-D Triangle

Nets and Drawings for Visualizing Geometry Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. a.

Nets and Drawings for Visualizing Geometry Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. a. 6 squares

Nets and Drawings for Visualizing Geometry Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. b.

Nets and Drawings for Visualizing Geometry Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. b. 2 circles and 1 rectangle

Nets and Drawings for Visualizing Geometry Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. c.

Nets and Drawings for Visualizing Geometry Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. c. 4 triangles

Nets and Drawings for Visualizing Geometry Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. a.

Nets and Drawings for Visualizing Geometry Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. a. Square Pyramid

Nets and Drawings for Visualizing Geometry Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. b.

Nets and Drawings for Visualizing Geometry Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. b. Hexagonal Prism

Nets and Drawings for Visualizing Geometry An isometric drawing An isometric drawing shows a corner view of a three-dimensional figure. You can draw an isometric drawing on isometric dot paper.

Nets and Drawings for Visualizing Geometry Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. a.

Nets and Drawings for Visualizing Geometry Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. a.

Nets and Drawings for Visualizing Geometry Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. b.

Nets and Drawings for Visualizing Geometry Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. b.

Nets and Drawings for Visualizing Geometry An orthographic drawing An orthographic drawing is another way to represent a three-dimensional figure. It shows a top view, front view, and right- side view.

Nets and Drawings for Visualizing Geometry Sample Problem 5: Make an orthographic drawing for each structure. a.

Nets and Drawings for Visualizing Geometry Sample Problem 5: Make an orthographic drawing for each structure. a. Top view Front view Right-side view

Nets and Drawings for Visualizing Geometry Sample Problem 5: Make an orthographic drawing for each structure. b.

Nets and Drawings for Visualizing Geometry Sample Problem 5: Make an orthographic drawing for each structure. b. Top view Front view Right-side view