1. Design and Communication Graphics

2. for teaching and learning Solids in Contact / Tangent Planes
Worksheets
for teaching and learning
Solids in Contact / Tangent Planes

3. Worksheets CORE APPLIED GRAPHICS
PLANE AND DESCRIPTIVE GEOMETRY
COMMUNICATION OF DESIGN & COMPUTER GRAPHICS
Plane and Descriptive Geometry is enhanced by Communication of Design & Computer Graphics

4. Worksheets “The core of the core”
Plane and Descriptive
Geometry
Intersection and Development of surfaces
Conic Sections
Projection
Systems
Descriptive Geometry of lines and planes
Remember our CD!!!
A holistic approach to the teaching of the core is encouraged

5. Worksheets

6. Worksheets
Syllabus Learning Outcomes:
Construct views of up to three solids having curved surfaces and/or plane surfaces in mutual contact
Construct views of solids given the point of contact
Determine point of contact for surfaces in mutual contact
Model various problems involving solids in contact, planes of reference and auxiliary planes
Determination of oblique and tangent planes

7. Worksheets A generic approach to teaching and learning DCG
Guiding Principles:
Use of concrete examples
Work from 3D to 2D
Link the general to the specific and vice versa

8. Worksheets Students must be encouraged to:
research suitable practical applications
use a variety of techniques and media
utilise both formal drawing and freehand sketching
learn with CAD
utilise the T4 Descriptive Geometry CD
identify key principles
highlight the inter-relationships between topics

9. Worksheets
“Having established the core areas of a topic it would be advantageous to utilise worksheets in order to efficiently progress learning”
Teacher Guidelines
“Students should be continually encouraged to communicate their ideas through the media of freehand sketching and CAD throughout the course and not just for the production of the student assignment”
Teacher Guidelines

10. Descriptive Geometry CD could be used here
Worksheets
Worksheet Template
Descriptive Geometry CD could be used here

11. Worksheets

12. Worksheets
Terry’s Chocolate Orange is to be presented in a square pyramid, in which the faces of the box are to be inclined at 60° to the base.
The drawing over shows the projections of a Terry’s Chocolate Orange.
Draw the projections of the square pyramid having the horizontal edge of the face that contains the opening inclined at 60° to the V.P.
Draw the traces of the plane which passes through the face containing the opening.

13. Worksheets

14. Worksheets

15. Worksheets Key Principles:
All elements of a right cone make equal angles with the base of the cone
All planes drawn tangential to a right cone make this same angle with the horizontal plane
A 60° right cone having its base resting on the horizontal plane is drawn. Any plane tangential to this cone makes a 60° “dihedral angle” with the H.P.
Links: Projection of right solids, true lengths of lines, inscribed spheres, oblique planes, inclination of a plane, dihedral angles, inclination of a line, bearing of a line.

16. Worksheets

17. Worksheets
Terry’s Chocolate Orange is to be presented in a square pyramid.
The drawing over shows the projections of a Terry’s Chocolate Orange.
Determine the traces of the plane which shall be tangential to the sphere at the point P. The point P is at the front of the sphere.

18. Worksheets
When a cone envelopes a sphere, a tangent plane to the cone is also a tangent plane to the sphere

19. Worksheets Key Principles:
A horizontal section of a sphere appears as a circle in plan
A tangent plane to a sphere is perpendicular to the radius drawn to the point of tangency
Perpendicular lines appear perpendicular in any projection which shows one of the lines in true length
Links: Projection of right solids, true lengths of lines, inscribed spheres, oblique planes, inclination of a plane, inclination of a line to a plane

20. Show teachers how to delete elements from a worksheet
Worksheets
Show teachers how to delete elements from a worksheet
(Tangent Planes 1)