warm-up friday 2-24-11 write down some differences between 2-dimensional and 3-dimension shapes....
TRANSCRIPT
Warm-up Friday 2-24-11• Write down some differences between
2-dimensional and 3-dimension shapes. Name at least 3 dimensional shapes
Split LevelHead over Heals
Right beside me
Ice Cube
Forgive and Forget
Try to Understand
Three Blind Mice
Solid Figures
M6G2: Students will further develop their understanding of solid figures
E.Q. What are the basic solid figures, and what are their properties?
Plane FiguresTwo-dimensional Shapes (2D)
• These shapes are flat and have no depth.
• They have two dimensions – length and width.
“Solids”Three-dimensional Shapes (3D)
• These shapes are also called “solids”
• They have three dimensions – length, width and height (or depth).
Face
• Part of a shape that is flat
• For example: A cube has 6 faces
Edge• The line where two
faces meet.• A cube has 12 of
edges.
Vertex (Vertices)
• The place where three or more edges meet.
• This pyramid has 4 of these.
Cube• A three-dimensional
shape which has 6 square faces all the same size.
Some faces parallel
Some edges parallel
Some faces perpendicular
Some edges perpendicular
Rectangular Prism• A three-dimensional
shape which has 6 rectangular faces.
Some faces parallel
Some edges parallel
Some faces perpendicular
Some edges perpendicular
Cylinder• A three-dimensional
shape with circular ends of equal size.
Some faces parallel
Some edges parallel
Some faces perpendicular
No edges perpendicular
Cone• A three dimensional
shape with a circle at its base and a pointed vertex.
No perpendicular faces or edges
No parallel faces or edges
Square base pyramid
No faces perpendicular
Some edges perpendicular
No faces parallel
Some edges parallel
Pyramid• A three-dimensional
shape which has a polygon for its base and triangular faces which meet at one vertex.
•E.g. Triangular pyramid• Square pyramid• Hexagonal pyramid• Pentagonal pyramid
CONEa three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex
Prism• A three dimensional
shape that has the same cross-section all along its length.
Three Dimension Figures Have Faces, Edges, and sometimes
one or more Vertexes or Vertices
REMEMBER:
Ticket Out The Door
Name as least 4 “SOLIDS” that you see in the real world.
The end of lesson one on solids 2/24/11
Volume of Pyramids and Cones
Sphere• A perfectly round
three-dimensional shape, like a ball. It has only one curved face.
No perpendicular faces or edges
No parallel faces or edges
Cube
A space figure with six sides, eight vertices, all sides equilateral.
Rectangular Prism
A rectangular prism is a space figure with six faces, eight vertices, and opposite
sides parallel.
Cylinder
A cylinder is a space figure with two faces, no vertices.
Pyramid
A space figure with a base, five faces, five vertices.
Hemisphere• A three-dimensional
shape that is half a sphere.
No parallel faces or edges
No perpendicular faces or edges
Perpendicular• A line that is drawn in
a right angle to another line .
• In solid shapes edges could be at a right angle to one another.
• Faces could also be at right angles to one another.
Parallel• These type of lines
stay the same distance apart for their whole length. They do not need to be straight or the same length.