+ Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing...

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+ Cross Section SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

Transcript of + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing...

Page 1: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

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Cross Sections

SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

Page 2: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+ In a prism, and at times in cylinders the shape is made by stacking several figures on top of each other that are ________________ .

If you stacked the same shape as the base, except that it is a little smaller each time until they reached a point at the top, you will create what is known as a______________.

These pyramids are named according to the shape of their_________________

When we think of pyramids we think of the Great Pyramids of Egypt. They are actually Square Pyramids, because their base is a Square. 

Similar

Base

Pyramid

Page 3: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+Prisms:-A prism has two bases that are congruent to each other.- The two bases in a prism, are parallel to each other.

Pyramids:-A pyramid has triangular sides (lateral faces), and either a rectangular or triangular base.-A Pyramid has one base, and is made of shapes similar to the base, that get progressively smaller until they come to a point called a vertex/apex.

Page 4: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

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A slice of any 3 dimensional figure with a plane creates a __________Cross sections are either taken ______________ or ____________ to the base, but they can also be taken at a_____________.

  

Cross Sections

Cross Section

Parallel Perpendicular

Diagonal

Page 5: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+Types of Cross Sections:If a shape is cut parallel to the base,

then the cross section looks just like the base.

If a shape is cut perpendicular to the base, then the cross section looks just like the lateral face.

If the shape is cut diagonally, the cross section looks like a stretched out base.

Page 6: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

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Page 7: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+Parallel Cross Section

Same Shape as the base

base base

Cross Section Cross Section

Page 8: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+Perpendicular Cross Section

Same shape as lateral face

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+Cross Sections of a Cylinder:

Parallel cut Perpendicular cut

Page 10: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+Cross Section of a Rectangular Pyramid

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+Cross Section of a Triangular Prism

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+Cross Section of a Hexagonal/Pentagonal Prism

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+Cross Sections of a Cone

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+Cross Sections of a Sphere

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+Other Cross Sections:

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+Shape Vertical Cross

Section Horizontal Cross Section

Diagonal Cross Section

Draw the 2-D Cross section for each 3-D Figure

Page 17: + Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

+Shape Vertical Cross Section

Horizontal Cross Section

Diagonal Cross Section