Station 1:
G02.02 Determine, using proportional reasoning, the dimensions of an object from a given scale drawing or
model.
G02.04 Draw, with and without technology, a scale diagram of a given object.
Materials: 0.5 cm grid paper; ruler
Instructions:
a) Determine the lengths of A, B, C, and D on the diagram.
b) Using 0.5 cm grid paper draw a scale diagram of this figure using the scale
1:200
c) Determine the perimeter of the figure.
Station 2:
G03.01 Draw a 2-D representation of a given 3-D object.
G03.03 Draw to scale top, front and side views of a given 3-D object.
Materials: linking cubes; 1 cm graph paper
Instructions: Using linking cubes, construction the object shown below.
Draw the front, top, and side views of the object shown.
Station 3:
G03.02 Draw, using isometric dot paper, a given 3-D object
G03.04 Construct a model of a 3-D object, given the top, front and side views.
Materials: Geoblocks; isometric dot paper
Instructions: These are the front, right and top orthographic views of an object built from Geoblocks.
Front View
Right View
Top View
Build the object using Geoblocks.
b) Could there be other blocks in the object that are not visible in these views? Explain.
c) Draw a front-right isometric view of the object. Are all the blocks visible in this view? Is it
necessary to provide another isometric view to show all the blocks needed to build the object?
a)
Mathematics 8 Focus on Understanding, McGraw-Hill Ryerson, 2012
Station 4:
G03.02 Draw, using isometric dot paper, a given 3-D object
G03.04 Construct a model of a 3-D object, given the top, front and side views.
Materials: linking cubes; isometric dot paper
Instructions:
Mathematics 8 Focus on Understanding, McGraw-Hill Ryerson, 2012
Station 5:
G03.04
Construct a model of a 3-D object, given the top, front and side views.
Materials: computer with JAVA installed.
website: http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html
This Building Houses With Side Views Applet has students create 3-dimensional cube designs given top, front,
and side views.
Station 6:
G03.08 Draw a one-point perspective view of a given 3-D object.
Materials: paper; ruler
Instructions:
Making a one point perspective drawing:
1. a) Near the centre of a sheet of paper mark a point P.
On the bottom left of the paper draw any polygon. This will be the base of the prism.
b)
Draw a dilatation image of the base with P as the centre and a scale factor of 1
2.
Join the corresponding vertices of the base and its image. Change all unnecessary line
segments to dotted lines.
d) In one-point perspective drawings, the point P is called the vanishing point. Why is
this appropriate name?
c)
Mathematics 8 Focus on Understanding, McGraw-Hill Ryerson, 2012
Station 7:
G03.07 Identify the point of perspective of a given one-point perspective drawing of a 3-D object.
G03.08 Draw a one-point perspective view of a given 3-D object.
Materials: Paper and ruler
Artists use the concept of a “vanishing point” to achieve the effect of perspective or distance in their art.
Instructions:
To create a cube that is vanishing in the distance:
1. Draw a square
2. Draw line segments from each vertex of the square to a meet at a point farther away
3. Make a smaller copy of the square that fits on the perspective lines
4. Erase the perspective lines
5. Join corresponding vertices of the squares and erase appropriate lines to create a solid.
6. Identify the point of perspective.
Station 8:
G04.02 Sketch an exploded view of a 3-D object to represent its components.
Materials: various small 3-D objects such as a can; a model of a chair; a box
Instructions: Draw and label all of the components of the object chosen.
Station 9:
G04 Exploded diagrams
Materials: internet access
Instructions: Visit the website: http://www.mr-d-n-t.co.uk/index.htm . for examples of exploded views.
Station 10:
G04 Exploded diagrams
Materials: internet access
Instructions: Visit the website: http://www.mr-d-n-t.co.uk/index.htm . for examples of exploded views.
Station 5:
G03.04
Construct a model of a 3-D object, given the top, front and side views.
Materials: computer with JAVA installed.
website: http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html
This Building Houses With Side Views Applet has students create 3-dimensional cube designs given top, front,
and side views.