Geometry
Activity:
Perspective
Posted on May 19, 2008
Topic: 3-Dimensional Geometry
In this activity, students draw figures in one- and two-point perspective and compare and contrast the two types of drawings. They then create an isometric drawing and compare it to their drawings in perspective.
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Activity Key Steps:
In Problem 1, students explore perspective drawings from a one-point perspective when drawing a prism. They use a vanishing point A to assist them in constructing a prism.
They use the Segment tool to draw segments that join a vertex of the prism to the vanishing point. These segments are called vanishing segments.
After completing the prism, students hide the vanishing segments that are joined to the vanishing point.
Students can identify parallel, intersecting, and skew lines. They can move the prism around and count its faces, vertices, and edges.
In Problem 2, students explore a two-point perspective. They follow a similar procedure as in problem 1. After completing the prism students hide the vanishing segments and study the figure.
Students take some time to drag edges, vertices, and vanishing points to observe how the prism changes as they do so.
Problem 3 gives students the opportunity to construct an isometric drawing of a rectangular prism. After completing the isometric drawing, students should compare it to the perspective drawings from Problems 1 and 2.
In Problem 4, an extension, students can create a wall by using the a divided segment in one-perspective then take it a step further by making it into a 3–Dimensional drawing.
At the end of this activity, students will be able to visualize 3–Dimensional shapes mentally and construct 3–Dimensional shapes such as pyramids and prisms.