Nets and Drawings for Visualizing Geometry. Unit 1 Lesson 1
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1 Nets and Drawings for Visualizing Geometry Unit 1 Lesson 1
2 Students will be able to: Represent three-dimensional figures using nets. Make isometric and orthographic drawings.
3 Key Vocabulary: Net Isometric drawing Orthographic drawing
4 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.
5 Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. a.
6 Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. a. 3-D Cylinder
7 Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. b.
8 Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. b. 3-D Rectangular Prism
9 Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. c.
10 Sample Problem 1: Identify each figure as two-dimensional or three-dimensional. c. 2-D Triangle
11 Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. a.
12 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
13 Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. b.
14 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
15 Sample Problem 2: Draw a net for each figure and then list what 2D shapes you would need to make each one. c.
16 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
17 Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. a.
18 Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. a. Square Pyramid
19 Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. b.
20 Sample Problem 3: : Name a three-dimensional figure that can be formed from each net. b. Hexagonal Prism
21 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.
22 Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. a.
23 Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. a.
24 Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. b.
25 Sample Problem 4: Make an isometric drawing of each cube structure on isometric dot paper. b.
26 An orthographic drawing An orthographic drawing is another way to represent a three-dimensional figure. It shows a top view, front view, and rightside view.
27 Sample Problem 5: Make an orthographic drawing for each structure. a.
28 Sample Problem 5: Make an orthographic drawing for each structure. a. Top view Front view Right-side view
29 Sample Problem 5: Make an orthographic drawing for each structure. b.
30 Sample Problem 5: Make an orthographic drawing for each structure. b. Top view Front view Right-side view
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