Cube n Ometry

Cube-n-ometry

Mathematics and Science Center

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Warm-Up Please build this figure using your

blocks.

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What would you take a picture of if you were a/an Cartographer (map maker)?

Aerial View of Richmond

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What would you take a picture of if you were a/an Architect?

View of Medical College of Virginia

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What would you take a picture of if you were a/an Scientist or Doctor?

Sectional views of the human body used in science.

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Cube-n-ometry If you were to

snap a picture of this object what do you think it would look like from the

Front? Top ? Side?

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Cube-n-ometry

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Cube-n-ometry Let’s go back and study what

makes a cube from the beginning

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Cube-n-ometry What differences can you see in

the two figures?

Two - dimensional

Three-dimensional

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Cube-n-ometry What differences can you see in

the two figures?

Two - dimensional

Three-dimensional

The major difference between two-dimensional and three-dimensional objects, is that three-dimensional objects have depth/width.

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Cube-n-ometry Parts of a cube

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Cube-n-ometry Views of a three

dimensional block figure can be broken down into three views:

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Cube-n-ometry

Build this three dimensional block figure.

What does it look like from the front, top, and side views?

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Cube-n-ometry Front, top, and

side views

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Cube-n-ometry Surface Area Surface Area – what

we see; think of how much wrapping paper is needed to wrap a present

To find the surface area we need to count the number of faces that can be seen

Volume Volume – how much

space does an object take up

To find the volume of an object we need to know the number of cubes needed to build the object and the volume of 1 cube

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Cube-n-ometry Front, top, and

side views

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Cube-n-ometry

Model A

Build this block figure and describe the front, top, and side views using your grid paper.

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Cube-n-ometry

Model A front, top, and side views

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Cube-n-ometry Model B

Build this block figure and describe the front, top, and side views using your grid paper.

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Cube-n-ometry Model B front,

top, and side views

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Cube-n-ometry

Model C

Build this figure and describe the front, top, and side views.

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Cube-n-ometry

Model C front, top, and side views

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Warm-Up – Find the Volumes & Surface Areas Model D Model E

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Cube-n-ometry Let’s do the opposite! Given the

views blow, can you build the three-dimensional block figure?

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Cube-n-ometry

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Cube-n-ometry

Views for Model 1

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Cube-n-ometry

Views for Model 2

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Cube-n-ometry

Views for Model 3

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Cube-n-ometry Find the volume

and surface area for Models A, B, and C made in the beginning. (Remember to use both your views and the figure to solve.) Model A

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Cube-n-ometry

Model B Model C

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Cube-n-ometry Review Build your own three-dimensional block

figure using your blocks. Fill in your grids for the front, top, and

side views of you figure. Switch with a student sitting next to you

and try to build each others figure. Check to see if their answer is correct,

but remember there can be more than one right answer.