shape
First of all a plane shape is a flat 2D object such as a square, circle, triangle, rhombus etc, whereas a prism is a 3D shape such as a cylinder, cube etc.
The definition of a prism is a 3D object with two flat ends and all flat sides like the examples below. It is also a polyhedron.
defining plane shapes by their spatial features
Plane shapes are defined by how many sides they have.
EXERCISE 3.1
Define the shapes below by the amount of sides they have!!
EXERCISE 3.1
Define the shapes below by the amount of sides they have!!
defining prisms by their spatial features
Remember the definition of a prism is: a 3D object with two flat ends and all flat sides like the examples below. It is also a polyhedron.
Prisms are defined by how many faces, edges, and vertices they have.
The face of a prism is the 2D shape
The vertex is the point where 3 edges join on the 3D object
The edge is where 2 faces join on the 3D object
Exercise 3.2
Write in your books how many faces, vertices and edges these shapes below you have.
Prisms are defined by how many faces, edges, and vertices they have.
The face of a prism is the 2D shape
The vertex is the point where 3 edges join on the 3D object
The edge is where 2 faces join on the 3D object
Exercise 3.2
Write in your books how many faces, vertices and edges these shapes below you have.
representing objects with drawings and models
Representing objects with drawings and models is an very important skill in geometry. You basically find an object that you want to draw, and try to draw that object. You can use isometric dot paper to do this or you can free draw. Personally I prefer to use the isometric paper which is why I've attached a link to a website that has free isometric paper that you can use to complete the following activities with.http://mathcentral.uregina.ca/rr/database/rr.09.98/loewen2.10.pdf
Exercise 3.3
Get some building blocks from your teacher and make a model, draw it on isometric paper and repeat this process 4 times. Try to make your model as original as possible and maybe even have a competition with your class to see who can make the coolest model!!
Exercise 3.3
Get some building blocks from your teacher and make a model, draw it on isometric paper and repeat this process 4 times. Try to make your model as original as possible and maybe even have a competition with your class to see who can make the coolest model!!
plain views and nets
PLAN VIEWS
You need to learn how to draw plan views which are basically drawing the front of the object, top, right and left side.
Exercise 3.4
Make four 3D objects with some building blocks from your teacher, and draw the plan views of each shape.
NETS A net is a pattern that you can cut and fold to make a model of a solid shape.
Exercise 3.5
This exercise is to try and make a net for each of the prisms below, it willprobably take more than one try to make it work and don't forget to add flaps to put it together!!!
You need to learn how to draw plan views which are basically drawing the front of the object, top, right and left side.
Exercise 3.4
Make four 3D objects with some building blocks from your teacher, and draw the plan views of each shape.
NETS A net is a pattern that you can cut and fold to make a model of a solid shape.
Exercise 3.5
This exercise is to try and make a net for each of the prisms below, it willprobably take more than one try to make it work and don't forget to add flaps to put it together!!!
Example Nets
These are some example nets of a cube
