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Geometry Perspectives Geometry Perspectives

Geometry Perspectives - PowerPoint Presentation

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Geometry Perspectives - PPT Presentation

7 th Grade 738A Sketch a threedimensional figure when given the top side and front views 8 th Grade 837A Draw threedimensional figures from different perspectives Student Expectations ID: 323309

cubes object assume hidden object cubes hidden assume drawing draw views orthographic isometric view represents determine relating check representations continued part side

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Slide1

Geometry PerspectivesSlide2

7

th

Grade:7.3.8A Sketch a three-dimensional figure when given the top, side, and front views. 8th Grade:8.3.7A Draw three-dimensional figures from different perspectives.

Student ExpectationsSlide3

There are many ways to represent a three dimensional object. An

orthographic drawing

shows six different views of an object: top, bottom, front, back, left side, and right side.Slide4

Example 1: Drawing Orthographic Views of an Object

Draw all six orthographic views of the given object. Assume there are no hidden cubes.Slide5

Example 1 Continued

Draw all six orthographic views of the given object. Assume there are no hidden cubes.

BottomSlide6

Example 1 Continued

Draw all six orthographic views of the given object. Assume there are no hidden cubes.Slide7

Example 1 Continued

Draw all six orthographic views of the given object. Assume there are no hidden cubes.Slide8

Check It Out!

Example 1

Draw all six orthographic views of the given object. Assume there are no hidden cubes.Slide9

Check It Out!

Example 1 Continued Slide10

Isometric drawing

is a way to show three sides ofa figure from a corner view. You can use isometric dot paper to make an isometric drawing. This paper has diagonal rows of dots that are equally spaced in arepeating triangular pattern.Slide11

Example 2: Drawing an Isometric View of an Object

Draw an isometric view of the given object. Assume there are no hidden cubes.Slide12

Check It Out!

Example 2

Draw an isometric view of the given object. Assume there are no hidden cubes.Slide13

Example 4A: Relating Different Representations of an Object

Determine whether the drawing represents the given object. Assume there are no hidden cubes.

No; the base has one cube too many. Slide14

Example 4B: Relating Different Representations of an Object

Determine whether the drawing represents the given object. Assume there are no hidden cubes.

Yes; the drawing is a two-point perspective view of the object. Slide15

Example 4C: Relating Different Representations of an Object

Determine whether the drawing represents the given object. Assume there are no hidden cubes.

Yes; the drawing is an isometric view of the object. Slide16

Example 4D: Relating Different Representations of an Object

Determine whether the drawing represents the given object. Assume there are no hidden cubes.

Yes; the drawing

shows the six orthographic views of the object. Slide17

Check It Out!

Example 4

Determine whether the drawing represents thegiven object. Assume there are no hidden cubes.

noSlide18

Lesson Quiz: Part I

1. Draw all six orthographic views of the object. Assume there are no hidden cubes.Slide19

2. Draw an isometric view of the object.

Lesson Quiz: Part IISlide20

3. Determine whether each drawing represents the given object. Assume there are no hidden cubes.

yes

yes

no

Lesson Quiz: Part III