CCS: 6.G.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and...

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

=

Let’s look at another net.

This is a triangular pyramid. Notice that all sides lay out to be triangles.

=

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