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Cube-n-ometry Mathematics and Science Center

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http://mathinscience.info2 What would you take a picture of if you were a/an Cartographer (map maker)? Aerial View of Richmond

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3 What would you take a picture of if you were a/an Architect? View of Medical College of Virginia

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http://mathinscience.info4 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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http://mathinscience.info5 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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http://mathinscience.info6 Cube-n-ometry

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http://mathinscience.info7 Cube-n-ometry Let’s go back and study what makes a cube from the beginning

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http://mathinscience.info8 Cube-n-ometry What differences can you see in the two figures? Two - dimensional Three- dimensional

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9 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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http://mathinscience.info10 Cube-n-ometry Parts of a cube

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http://mathinscience.info11 Cube-n-ometry Views of a three dimensional block figure can be broken down into three views:

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http://mathinscience.info12 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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http://mathinscience.info13 Cube-n-ometry Front, top, and side views

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http://mathinscience.info14 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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http://mathinscience.info15 Cube-n-ometry Model A front, top, and side views

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http://mathinscience.info16 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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http://mathinscience.info17 Cube-n-ometry Model B front, top, and side views

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18 Cube-n-ometry Model C Build this figure and describe the front, top, and side views.

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http://mathinscience.info19 Cube-n-ometry Model C front, top, and side views

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http://mathinscience.info20 Cube-n-ometry Model D Model E

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http://mathinscience.info21 Cube-n-ometry Let’s do the opposite! Given the views blow, can you build the three- dimensional block figure?

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http://mathinscience.info22 Cube-n-ometry

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http://mathinscience.info23 Cube-n-ometry Views for Model 1

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http://mathinscience.info24 Cube-n-ometry Views for Model 2

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http://mathinscience.info25 Cube-n-ometry Views for Model 3

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http://mathinscience.info26 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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http://mathinscience.info27 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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28 Cube-n-ometry Model BModel C

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http://mathinscience.info29 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.

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Surface Area of Prisms Unit 5, Lesson 2. What is a Prism? Definition: –A three dimensional figure with 2 congruent polygon bases and rectangular sides.

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