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Transformations of Figures through Space!

Transformations of Figures through Space!. The world is not flat. We Live in a 3 Dimensional World!.

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Transformations of Figures through Space!

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  1. Transformations of Figures through Space! The world is not flat.

  2. We Live in a 3 Dimensional World! When you write or draw on paper, you are constructing 2 dimensional figures. Figures that only have height and width. If could actually turn them to the side, they would disappear. Check out the racer! See what I mean!

  3. We all Know that there is Depth in the World. • Along with height and width there is thickness or depth. We live in a 3-D World. • Which means that in addition to moving figures up and down, you can also move them out and in. • If it looks like it’s coming right out at you, it’s probably because it really is! • But of course, this is stuff you already know.

  4. 3D on a 2D Power Point • Now I’m not complaining, but you’re going to have to stay with me on this, because it can be awfully hard to demonstrate three dimensions on a two dimensional Power Point. • So you are going to have to use your mind’s eye, your imagination, and want to see the 3 dimensional figures.

  5. Transformations throughSpace! • Remember your transformations? Well let’s see! • Which transformation changes the size of a figure? • A dilation. • Which transformation turns a figure? • A rotation. • Which transformation slides figure? • A translation.

  6. What do you think we’ll get if we translate a triangle through space?. How about a triangular prism?.

  7. What do you think we’ll get if we translate a rectangle through space? • How about a rectangular prism?

  8. What do you think we’ll get if we translate a circle through space? • How about a cylinder?

  9. What do you think we’ll get if we dilate a square through space? • Could this actually be a pyramid?

  10. Lets’ flip it so we can see it from its side? • Can you see it now? It’s a pyramid.

  11. What do you think we’ll get if we dilate a circle through space? • Could this actually be a cone?

  12. Lets’ flip it so we can see it from its side? • Can you see it now? It’s a cone.

  13. What do you think we’ll get if we rotate a triangle through space? • Could this possibly be a cone?

  14. Let’s Spin and See! • With rotation, that triangle becomes a cone.

  15. What do you think we’ll get if we rotate a rectangle through space? • Could this possibly be a cylinder?

  16. Let’s Spin and See! • With rotation, that rectangle becomes a cylinder.

  17. What do you think we’ll get if we rotate a circle through space? • Could this possibly be a sphere?

  18. Let’s Spin and See! • With rotation, that circle becomes a sphere.

  19. So what did we pick up from all of this? • When we translate into space what do we get? • Prisms and Cylinders • When we dilate into space what do we get? • Pyramids and Cones. • When we rotate into space what do we get? • Cones, Cylinders, and Spheres.

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