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Unit 5: Geometry - 9C

9C: 2-D representations of 3-D shapes
Class: T1A
Unit 5
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Slide 1: Slide
WiskundeMiddelbare schoolhavoLeerjaar 1

This lesson contains 39 slides, with interactive quizzes and text slides.

Items in this lesson

9C: 2-D representations of 3-D shapes
Class: T1A
Unit 5

Slide 1 - Slide

Solids



- A three-dimensional (3-D) shape


Slide 2 - Slide

Solids



- A three-dimensional (3-D) shape
- Width, length, height...

Slide 3 - Slide

Solids

Slide 4 - Mind map

Solids



- A three-dimensional (3-D) shape
- Width, length, height...

- What solids have a square as a base?

Slide 5 - Slide

Solids



- What solids have a square as a base?

Slide 6 - Slide

Solids



- What solids have a square as a base?

Slide 7 - Slide

Solids



- What solids have a square as a base?
Cube

Slide 8 - Slide

Solids



- What solids have a square as a base?
Cube
Box

Slide 9 - Slide

Solids



- What solids have a square as a base?
Cube
Box
Square-based
pyramid

Slide 10 - Slide

Solids



- What solids have a square as a base?
Cube
Box
Square-based
pyramid
Triangular
prism

Slide 11 - Slide

Solids



- What solids have a triangle as a base?

Slide 12 - Slide

Solids



- What solids have a triangle as a base?

Slide 13 - Slide

Solids



- What solids have a triangle as a base?
Triangular-based
pyramid

Slide 14 - Slide

Solids



- What solids have a triangle as a base?
Triangular-based
pyramid
Triangular prism

Slide 15 - Slide

Solids



- What solids have a circle as a base?

Slide 16 - Slide

Solids



- What solids have a circle as a base?

Slide 17 - Slide

Solids



- What solids have a circle as a base?
Circular-based pyramid / cone

Slide 18 - Slide

Solids



- What solids have a circle as a base?
Circular-based pyramid / Cone
Circular prism / Cylinder

Slide 19 - Slide

Cross-section
- A cross-section of a solid is literally a slice of a solid. For example...

Slide 20 - Slide

Cross-section
- A cross-section of a solid is literally a slice of a solid. For example...

Slide 21 - Slide

Cross-section prisms
- Not all solids have a constant cross-section.
- Prisms do have a constant cross-section.
- For prisms, the cross-section names the prism.

Slide 22 - Slide


Is a box always a prism?
A
Yes
B
No

Slide 23 - Quiz

Cross-section prisms
- If you take a slice from a box, you will get a rectangle, so the cross-section is a rectangle.
- This means a box is also called a rectangular prism.

Slide 24 - Slide


Does a pyramid have a constant cross-section?
A
Yes
B
No

Slide 25 - Quiz

Bases pyramids
- Because pyramids don't have a constant cross-section we use their base to name them.
- For pyramids, the base thus names the pyramid.

Slide 26 - Slide

Bases pyramids
- For pyramids, the base names the pyramid.

- What's this solid called?

Slide 27 - Slide

Bases pyramids
- For pyramids, the base names the pyramid.

- What's this solid called?

Pentagonal based pyramid

Slide 28 - Slide

Face, Edge, Vertex

Slide 29 - Slide

Face, Edge, Vertex
 - A face is a flat surface of a solid.


Slide 30 - Slide

Face, Edge, Vertex
 - A face is a flat surface of a solid.

 - An edge is the line where two faces meet.

Slide 31 - Slide

Face, Edge, Vertex
 - A face is a flat surface of a solid.

 - An edge is the line where two faces meet.

 - A vertex is a point at which three or more edges meet.

Slide 32 - Slide

Face, Edge, Vertex
 - A cube has 6 faces, 8 vertices and 12 edges

Slide 33 - Slide


How many faces does a box have?
A
2
B
4
C
6
D
8

Slide 34 - Quiz


How many vertices does a square-based pyramid have?
A
3
B
4
C
5
D
6

Slide 35 - Quiz

Face, Edge, Vertex
 - A square-based pyramid has 5 faces, 8 edges  and 5 vertices

Slide 36 - Slide


How many edges does a triangular-based pyramid have?
A
4
B
6
C
8
D
12

Slide 37 - Quiz

Face, Edge, Vertex
 - A triangular-based pyramid has 4 faces, 6 edges  and 4 vertices

Slide 38 - Slide

Make:
9C: 2-D representations of 3-D shapes
 - Questions 1, 2 and 3

Hand in for feedback! (Optional)
 Homework:

Slide 39 - Slide

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