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= Geometry Honors Wiki Space =

I was inspired to begin to play with and try to incorporate Google SketchUp into my curriculum after our Technology Integrator showed me Kevin Honeycutt's You Tube clip on 'Using Google Sketch Up to Empower Learning.' I started playing with the program and before long had built a house. The house I 'built' is far from complete; I'm still working, still tweaking, still playing. = = media type="youtube" key="3bdFgk5-LP4?rel=0" height="315" width="420"

= = My Geometry Honors course had just finished a unit on volume, surface area and lateral area. While I had manipulatives and we could discuss and play with actual 3-dimensional shapes, I thought that SketchUp would be an amazing way for these students to really take their knowledge to the next level. I kept the outline to the project as vague as possible to encourage my students' creativity while still incorporating key New York State Standards. = =

I charged my students with the task of creating 'something' using Google SketchUp. The caveat was that they had to incorporate at least one of each of the shapes that we had discussed in class, and that they had to calculate the volume and surface area of at least one of each of those shapes. = =

Kevin said something in the video that really struck me - he mentioned that in Geometry we teach 3 dimensional concepts in a largely 2 dimensional space. It is so true. In fact, one of the most difficult topics for students to grasp is planes and lines and their interactions in 3 dimensional space. My students have ALWAYS struggled with these types of problems. There are ten performance indicators involving planes and lines in 3 dimensional space. I assigned one to each of my groups and told them that they are to come up with a diagram in Sketch Up that illustrates their concept.

The First Sketch Up Project - Volumes & Surface Areas
You are to use Google Sketch Up and the 3D objects that we’ve discussed to come up with a design, project, building, or something to your liking. The parameters of the project are outlined as follows.

1. You must use at least one of each of the following: -Cone -Cylinder -Sphere -Pyramid -Prism

2. You must label and show the dimensions of at least one of each of the above listed figures.

3. The volume, lateral area (where applicable), and surface area must be calculated based on the above dimensions.

4. You will present your project to the entire class.

5. Have fun!

Sketch Up is a free download and allows you to design objects in 3 dimensions. It can be found here: []

The Second Sketch Up Project - Planes
You be the teacher – come up with one or more Sketch Up diagrams that illustrate the Performance Indicator assigned to you. Teach the class how you came up with the diagram and what it illustrates.

<span style="font-family: Arial,Helvetica,sans-serif;">The PI's: <span style="font-family: Arial,Helvetica,sans-serif;">G.G.1 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.2 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that through a given point there passes one and only one plane perpendicular to a given line

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.3 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that through a given point there passes one and only one line perpendicular to a given plane

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.4 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that two lines perpendicular to the same plane are coplanar

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.5 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.6 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.7 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.8 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.9 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that if two planes are perpendicular to the same line, they are parallel

<span style="font-family: Arial,Helvetica,sans-serif;">G.G.10 <span style="font-family: Arial,Helvetica,sans-serif;">Know and apply that the lateral edges of a prism are congruent and parallel

=<span style="color: #ff004d; font-family: Arial,Helvetica,sans-serif; font-size: 320%;">//__**Student Work:**__// =


 * Project 1**

A girl who is trying to learn to play the drums, but is having a very hard time. Why you ask? SHE HAS NO ARMS!



 * Performance Indicator:** Know and apply that two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane.


 * Project 1:**

We made a jet that is made of 2 equal pyramids. A cone. 2 Rectangular prisms, A cylinder with sphere. The Plane is supposed to look like its flying around the world. (with a bomb)



 * Performance Indicator:** A plane intersects two parallel planes, then the intersection is two parallel lines.


 * Project: The Mansion**

__Dimensions :__

 * ===Shape:=== || ===Length=== || ===Width=== || ===Height=== || ===Radius=== || ===Perimeter of base=== || ===Slant Height=== ||
 * ===Cylinder=== ||  ||   || 2987.5 || 1821.25 ||   ||   ||
 * ===Sphere=== ||  ||   ||   || 1740.9 ||   ||   ||
 * ===Prism=== || 38251.36 || 100822.92 || 30435.81 ||  ||   ||   ||
 * ===Pyramid=== || 46918.43 || 100822.92 || 13661.45 ||  || 295482.7 || 55665.26 ||
 * ===Cone=== ||  ||   || 10841.92 || 21950.8 ||   || 10105.2 ||

__Volumes & Surface Areas:__


 * ===Shape=== || ===Volume (cubed)=== ||= ===Surface Area (ft. sq.)=== ||
 * ===Cylinder=== || 3.11312756 e 10 ||= 6.912869243 e 13 ||
 * ===Sphere=== || 2.210090639 e 10 ||= 38085311.72 ||
 * ===Prism=== || 1.173792646 e 14 ||= 1.349762754 e 10 ||
 * ===Pyramid=== || 2154167703 e 13 ||= 1.295451377 e 10 ||
 * ===Cone=== || 5.470607064 e 12 ||= 1.288239688 e 11 ||


 * Performance Indicator:** Know and apply that if a line is perpendicular to a plane. then every plane containing the line is perpendicular to the given plane.

Know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them. The first image shows a model to illustrate the performance indicator. A building is positioned against two roads at a corner, with a tower coming up at the corner. The second image shows a translucent view of the front of the building with two planes drawn in. The third image is a more "illustrated" view. The tower represents a line intersecting two other lines(the sides of the building that border the road) at a point(the corner). The two sides of the building form a plane which the tower is perpendicular to.
 * Performance Indicator**
 * G.G.1**
 * Explanation**