This activity can be used to supplement the "Know What?" from Chapter 7, Lesson 6.'
The student worksheets for this activity are at the end of Chapter 12 because this activity can also be used at the end of the year. The link is below.
Time required: 60 minutes
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.
Topic: 3–Dimensional Geometry
Construct 3- dimensional prisms and pyramids.
Record the number of faces, edges, and vertices of prisms.
Teacher Preparation and Notes
Perspective drawings can be taught at any time in a geometry curriculum, but are most appropriate after lessons on parallel and perpendicular lines, three-dimensional figures, and symmetry.
Throughout the activity, students use many drawing and construction tools, such as the Segment, Parallel, and Perpendicular tools. In this document, the first use of a tool is by name and accompanied by its location within the menu structure. For subsequent uses, the tool may be mentioned by name or its function, and the menu location is omitted.
This activity is designed to have students explore individually or in pairs.
To download Cabri Jr, go to http://www.education.ti.com/calculators/downloads/US/Software/Detail?id=258#.
To download the calculator files, go to http://www.education.ti.com/calculators/downloads/US/Activities/Detail?id=10033 and select RECPRISM, TRIPRISM, TWOPERSP, ISODRAW.
- Student Worksheet: Perspective Drawing http://www.ck12.org/flexr/chapter/9697, scroll down to the third activity.
- Cabri Jr. Application
- RECPRISM.8xv, TRIPRISM.8xv, TWOPERSP.8xv, and ISODRAW.8xv
Problem 1 – One-point perspective
To do this, they will need to do the following:
- Place a point F on AB¯¯¯¯¯¯¯¯. (F2 > Point > Point On)
(F3 > Parallel)
- Plot point G at the intersection of the parallel line and AC¯¯¯¯¯¯¯¯.(F2 > Point > Intersection)
- Hide the line. (F5 > Hide/Show > Object)
- Draw FG¯¯¯¯¯¯¯¯.
When students have finished exploring their prisms, they may wish to hide or dash the edges that would not be visible if the figure were not transparent. The appearance of the edges may be altered using the Display tool (F5 > Display).
Students are to open TRIPRISM and create a triangular prism in one-point perspective on their own. Be sure to circulate around the room and assist students as needed.
Problem 2 – Two-point perspective
The vanishing segments may then be hidden so that students can draw the remaining edges of the prism.
Problem 3 – An isometric drawing