48
MBF3CC-01
Chapter 6 Assignment
Name:
Part 1 - Geometric Shapes and Tessellations
(2)
1.
What is the definition of a tessellation, when referring to geometric shapes and figures?
(5)
2.
a.
On the graph paper provided, draw a 10 by 10 square which will act as your plane.
b.
On your place (within your square), draw a smaller square, then draw additional squares
identical to the first such that they form a tessellation. Use at least four different
colours to make a pleasing pattern.
a.
Draw another 10 by 10 square on the same page.
b.
On your plane draw a triangle, then draw additional triangles identical to the first such
that they form a tessellation. Colour the triangles to create a pleasing pattern.
a.
Draw another 10 by 10 square on the same page.
b.
Use a combination of triangles and rectangles to form a tessellation to cover the plane.
a.
Read the description for Investigation 3, on page 299 in the text, but following the
instructions below.
b.
On the “isometric” dot paper provided for this question, a 15 cm by 15 cm has been
drawn. This will model a 15 km by 15 km urban area needed to be covered by the cell
phone network.
c.
Draw a regular hexagon (all sides equal and all angles equal) with a side length of 2 cm
representing 2 km. Mark a dot in the approximate middle of the hexagon. (The first
one has been done for you.) Draw another hexagon next to the first leaving no gaps.
Measure the distance between the centres of each hexagon and confirm that they are
within 5 km (5 cm).
d.
Continue to cover the entire area with hexagons.
d)
How many towers are required to service the urban area?
(5)
(5)
(10)
3.
4.
5.
Part 2 – Perspective and Orthographic Drawings
(Refer to Investigation 1 on page 307 for assistance with this question.)
(2)
1.
Use the isometric dot paper provided to draw a 3D
rendering of a cube.
(3)
2.
Draw an isometric perspective drawing of a 1 cube by 2 cubes
by 3 cubes rectangular prism.
(5)
3.
Use the isometric dot paper to create a 3D perspective of
the cubes linked in the shape of a set of a flight of stairs as
shown.
(2)
d.
Define the term Orthographic Projection.
(9)
e)
Use the last piece of graph paper provide to draw the front view, side view, and top
view of each of the shapes in question 1, 2 and 3 from above.