ccs: 6.g.4. represent three-dimensional figures using nets made up of rectangles and triangles, and...
TRANSCRIPT
CCS:
• 6.G.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Objectives:
Students will be able to:
•Identify three dimensional figures
•Count faces, vertices, and edges of three-dimensional shapes
•Represent three-dimensional figures using nets
•Create nets of three-dimensional shapes
What is a 3-D Shape?
This is a cube
height
depth
length
It has 3 dimensions – length, height and depth.
All 3-D shapes are solids.
Labelling the Parts of a 3-D Shape
Vertex (vertices) – the point where three or more faces
meet (corner)
Edge – a line where two faces
meetFace – the flat surface of a 3-D
shape
A Cube
A cube has:6 faces
8 vertices
12 edges
The Shapes you need to Know
CONE
CYLINDER
CUBOID
CUBE
SPHERE
SQUARE-BASED
PYRAMID
TRIANGULAR
PRISM
REGULAR
TETRAHEDRON
Click on each shape to find out more
about it!Look at this one first!
Cuboid
Six faces which are all rectangles.
Key Feature
Faces 6
Vertices 8
Edges 12
Click on me to check out other shapes…
Can you work out how many faces, vertices and edges I have? Click to check your answers…
Cube
Six faces which are all squares.
Key Feature
Faces 6
Vertices 8
Edges 12
Remember to work out how many faces, vertices and edges I have before clicking to check your answers…
Triangular Prism
A prism with a triangular cross-section.
Key Feature
Faces 5
Vertices 6
Edges 9
What’s a prism?
Click here to find out…
Prisms
• A prism is a special kind of 3D shape .• Prisms have two ends which are exactly the same shape
and size.• If a prism is sliced parallel to one of its ends then the new
exposed ends will be exactly the same as the old ones. • A prism is the same shape and size all the way through.
Examples of prisms:
Triangular Prism
Hexagonal Prism
Regular Tetrahedron
Four faces which are all equilateral triangles.
Key Feature
Faces 4
Vertices 4
Edges 6
Sphere
Every point on the surface of the sphere is the same distance from the centre.
Key Feature
Faces, Vertices and Corners
The normal definitions of faces, vertices and edges are not appropriate for a sphere
Cylinder
A prism with a circular cross-section.
Key Feature
Faces, Vertices and Edges
The normal definitions of faces, vertices and edges are not appropriate for a cylinder.
Cone
The point of the cone is directly above the centre of the circular base.
Key Feature
Faces, Vertices and EdgesThe normal definitions of faces, vertices and edges are not appropriate for a cone.
Square-Based Pyramid
A shape with a square base and triangular sides that meet at a point.
Key Feature Faces 5
Vertices 5
Edges 8
NETSA net is a 2D
pattern that, when put together, forms a 3D polyhedron.
Nets of 3D Shapes
Imagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net.
A net is very helpful for identifying 3D shapes
top
back
end
front
end
bottom
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Let’s look at another net.
This is a triangular pyramid. Notice that all sides lay out to be triangles.
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Video Time
• Naming a three-dimensional figure
• Drawing a net
Check this out!
1. 3D Shapes 1 - this is a game of matching pairs.
2. NETS Identification Game
HOMEWORK:Geometry Challenge!!!
Reteaching/Practice 9.7 HO
Try these games to identify shapes and their Nets