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March 15, 2012

March 15, 2012. Write your homework in your agenda: Cross Sections worksheet Take out your Cool Cross Section, put your name on it and leave it on your desk. Open your CRCT wkbk to p. 19 and complete #1-18. What am I learning today?. Cross Sections of 3D Figures.

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March 15, 2012

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  1. March 15, 2012 • Write your homework in your agenda: Cross Sections worksheet • Take out your Cool Cross Section, put your name on it and leave it on your desk. • Open your CRCT wkbk to p. 19 and complete #1-18.

  2. What am I learning today? Cross Sections of 3D Figures What will I do to show that I learned it? Describe, sketch and model the cross sections of prisms, pyramids, cones and cylinders

  3. What do these things have in common?

  4. cross section Two-dimensional plane that slices the three-dimensional shape exactly straight up and down at a 90 degree angle to the base perpendicular intersection parallel intersection plane

  5. A Cross Section Parallel or Horizontal to the base of a Cylinder gives us…. A Circle

  6. A Cross Section Perpendicular or Vertical to the base of a Cylinder gives us…. A Rectangle

  7. A Cross Section Tilted towards the base of a Cylinder gives us…. An ellipse or oval

  8. A Cross Section Perpendicular to the base of a Cone gives us … A Triangle

  9. A Cross Section Parallel to the base of a Cone gives us … A Circle

  10. A Cross Section Tilted towards the base of a Cone gives us…. An ellipse or oval

  11. A Cross Section Vertical to the base of a Rectangular Prism gives us… A Rectangle

  12. A Cross Section Horizontal to the base of a Rectangular Prism gives us.. A Rectangle

  13. A Cross Section Tilted towards the base of a Rectangular Prism gives us… A Parallelogram

  14. A Cross Section Perpendicular or Vertical to the base of a Pyramid gives us ….. A Triangle

  15. A Cross Section Parallelor Horizontal to the base of a Square Pyramid gives us …. A Square

  16. A Cross Section Tilted towards the base of a Square Pyramid gives us …. A Trapezoid

  17. Finally, no matter how you slice it, the cross section of a sphere is going to be a …. A Circle

  18. Slicing up a Solid Figures How many ways are there for two-dimensional plane to intersect a three-dimensional figure? What are the most common cross sections when an object rests on its base? Infinite number of ways Intersections Parallel with the base. Intersections Perpendicular with the base. Intersections Tilted towards the base.

  19. Slicing up a Solid Figures What does the shape of the cross section depend on? What do all cross sections have in common? Angle in which the plan intersects the solid figure The slices are always straight and flat because cross sections are formed by planes.

  20. Slicing up Solid Figures http://www.thinkingfountain.org/c/crosssection/namethatbar.html

  21. Crazy Cross Sections Performance Task • Using the materials available, mold a cube. The slice through the cube at various angles to explore the cross section created. • Describe the slice you made and the resulting plane figure. • Continue with this solid figure until you’ve exhausted as many slices as possible. • Create a new solid figure and continue in the same fashion.

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