3-Dimensional Shapes
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Pyramids and Prisms in the Real World
Task 1: Word Banking
Find the definition of the following and write it into your maths book.
3 Dimensional
2 Dimensional
Quadrilateral
Parallel lines
Perpendicular lines
Oblique lines
Cross-section
Prism
Pyramid
Vertice / Vertex
Face
Edge
Apex
Find the definition of the following and write it into your maths book.
3 Dimensional
2 Dimensional
Quadrilateral
Parallel lines
Perpendicular lines
Oblique lines
Cross-section
Prism
Pyramid
Vertice / Vertex
Face
Edge
Apex
Task 2: Investigating Eulers Rule
What we are learning today - We are learning about Euler's Rule, a mathematical formula that is used to prove a prism or pyramid is a polyhedron.
In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges. The word derives from the Greek poly (many) plus the Indo-European hedron (seat).
In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges. The word derives from the Greek poly (many) plus the Indo-European hedron (seat).
Prisms and Pyramids
Prisms: A prism is a 3D shape. Two parallel faces are the same polygon and all other faces are rectangles.
A cylinder is NOT a prism!
A cylinder is NOT a prism!
Pyramid - A pyramid is a 3-D shape of which the base is a polygon (Triangle, square, octagon etc.) and all the other faces are triangles.
The triangles meet at a point (apex), which is the vertex furthermost from the base polygon. The name of the pyramid usually comes from its base shape i.e. Triangular Pyramid A cone is NOT a pyramid. |
Prisms: A prism is a 3D shape. Two parallel faces are the same polygon and all other faces are rectangles.
A cylinder is NOT a prism! |
TASK 1 Modelling - Cross Sections of Pyramids
Work in Pairs, choose a partner that will help you learn!
In your pair, use modelling clay to create a pyramid AND a prism of your choice (example shapes are available from the teacher).
Photograph your models, and insert them into your keynote of definitions of shapes and attributes. Make sure you properly name your shape, and whether it is a pyramid or a prism. If you are unsure of the 3D shape - ASK 3 before me.
Make a prediction, what do you think it will look like if we sliced the model in half? Draw what the shape will look like, Photograph it and save into your keynote.
Under teacher direction - Slice your model in half. Was your prediction correct? Photograph and record into your keynote
In your pair, use modelling clay to create a pyramid AND a prism of your choice (example shapes are available from the teacher).
Photograph your models, and insert them into your keynote of definitions of shapes and attributes. Make sure you properly name your shape, and whether it is a pyramid or a prism. If you are unsure of the 3D shape - ASK 3 before me.
Make a prediction, what do you think it will look like if we sliced the model in half? Draw what the shape will look like, Photograph it and save into your keynote.
Under teacher direction - Slice your model in half. Was your prediction correct? Photograph and record into your keynote
NET TOWN
We are going to create a city scape, using nets to construct 3D buildings.
We will have some nets to hand out, however we encourage you to seek out and create your own nets (see link below)
Before you construct your 3D shape, you need to decorate your net to look like a city building - windows, doors, signage, colours etc.
Extension - Can you connect a prism to a pyramid to create roofs, and other marvellous buildings?
We are going to create a city scape, using nets to construct 3D buildings.
We will have some nets to hand out, however we encourage you to seek out and create your own nets (see link below)
Before you construct your 3D shape, you need to decorate your net to look like a city building - windows, doors, signage, colours etc.
Extension - Can you connect a prism to a pyramid to create roofs, and other marvellous buildings?
Investigation - Prisms and Pyramids
Investigate Euler's rule further, create a table like the one above in your binder book, and sketch out a series of different polyhedrons (prisms or pyramids).