Design and Communication Graphics

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

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

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

Worksheets

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

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

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

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

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

Worksheets

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.

Worksheets

Worksheets

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.

Worksheets

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.

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

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

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