TangramArea
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... Step 2. Use the Line tool to draw the line segments needed to create the Tangram pieces. Use i…
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Step 2. Use the Line tool to draw the line segments needed to create the Tangram pieces. Use inference points to locate midpoints of segments.
{Tangram Create.jpg}
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here are found in the crayon box (macs)
a) Bananalisted below.
Mac Crayon Box
PC Colors Named
Banana Yellow
b) Sky
(0056_Yellow)
Sky Blue
c) Carnation
(0096_SkyBlue)
Carnation Pink
(0004_HotPink)
Step 4. Use the Text tool to label the areas of each piece of the Tangram puzzle. Snap the text tool to the interior of the piece (double click) and drag out with your mouse to position the area text (see the diagram).
{Tangram Areas.jpg}
Step 5. In this step, you will make each piece into a “group” so the pieces can be moved without deforming.
Delete each of the area measures.
Select one piece and use the Edit | Group command to form a group.
Select another piece and use the Edit | Group command to form a new group.
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Does the total area equal 1 square meter if you increase the precision to three decimal places in SketchUp?
Step 6. Use the Move tool to drag a piece to a new location in the red-green plane. This is called a translation. Use the Esc key to unselect a piece (if necessary).
Step 7.7a. Use the
Snap the center of the rotate tool to the center of the group of the shape yoU want to rotate. [You might need to draw a segment in the shape to locate the center. Delete this segment after the rotation is completed.]
Align the "bottom" of the protractor with one of the corners.
Note that the angle measure will appear in the status bar as you drag the tool, or you can type in the angle you want to use.
Step 7b. Select the shape, select the move tool, select one of the + signs that appear. Rotate the shape as necessary.
{Tangram Duck.jpg}
Step 8. You might find that it is necessary to flip the parallelogram piece over.
Spheres
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Sphere and Torus
Activity A. Create a Sphere
Activity B. Create a Hemisphere
{BeachBall-Semi…
Sphere and Torus
Activity A. Create a Sphere
Activity B. Create a Hemisphere
{BeachBall-SemiCircle-PatternPiece.jpg} Hemisphere Pattern Piece
{BeachBall-SemiCircle-RotatePath.jpg} Hemisphere Rotate Path
{BeachBall_HalfSphere.jpg} SketchUp Hemisphere
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Create a Torus - Model of
{InnerTubeOne.jpg}
{InnerTubeTwo.jpg}
Lesson 6
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... 1
2Double each linear dimension
3Triple each linear eachlinear dimension
4 Quadruple ea…
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1
2Double each linear dimension
3Triple each lineareachlinear dimension
4 Quadruple each linear
4Quadruple eachlinear dimension
Length of base
Width of base
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Area
Volume
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the sides (length(e.g. length of base of Prism 1 to length of base).base Prism 2). Do the
{Screen Shot 2014-11-27 at 9.49.37 AM.png}
Step 5. Make a conjecture regarding the relationship between one dimension (side length), two dimension (area) and three dimensions (volume).
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Scale Factor
1
2Double each lineareachlinear dimension
3Triple each lineareachlinear dimension
4Quadruple each lineareachlinear dimension
Radius of Base
Height
Lesson 6
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... A 2m x 3m x 1.5m prism (shown below) was created with one vertex at the origin. The figure on …
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A 2m x 3m x 1.5m prism (shown below) was created with one vertex at the origin. The figure on the right is a copy of the prism that was dilated with a scale factor of 0.5. The side dimensions of the copy are 1 x 1.5 x .75 meters. Compare the area of the faces shown in red. Is the area half as big? Compare the volumes of the two prisms. Do you see a relationship? Is the volume half as big?
Task 2 - Create similar prisms.
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to perform dilationsa dilatation on each
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(Creating Solids Assignment)Activity) OR create
Step 2. Create a copy of your shape and paste it next to the original. Dilate with a scale factor of 2. I suggest you color one side of each shape blue. For example, you can color the top face that is 3 x 4 blue. Be consistent!
Step 3. Repeat step 2, but use a scale factor of 3. Repeat one more time with a scale factor of 4.
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Scale Factor
1 2
Double2Double each linear dimension
3
Triple
3Triple each linear dimension
4
Quadruple
4Quadruple each linear
Radius of Base
Height
Integer Rods
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... Integer Rods provide a useful manipulative when finding surface area and volume.
Different v…
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Integer Rods provide a useful manipulative when finding surface area and volume.
Different views can be created to assist students with visualization of 3D objects as well as finding surface area and volume.
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Integer Rod file fromfilefrom the 3D
*Click here for a practice page (three additional problems)
SketchUp Activity
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the first onerod at the
Goal: Create front, right, left, top, bottom or isometric views of the configuration to support the discussion of surface area and volume.
Note: The front side of the shape is to your left and the right side view is to your right as you look straight at the graphic.
Construction steps
Step 1: Create a 1x1x1 cube and group into an object.
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file. Color cubesthe rods with the paint tool. HEX color codes and RGB color codes are listed at the bottom of this page.
Step 3: Move (snap) to position. Drag a corner point of one cube to the corner point of the second cube. You should see them line up correctly and snap together.
Example #1
Integer Rods
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... Overview: Create and place Integer Rods in space - anchor the first one at the origin.
Goal: …
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Overview: Create and place Integer Rods in space - anchor the first one at the origin.
Goal: Create front, right, left, top, bottom or isometric views of the configuration to support the discussion of surface area and volume.
Note: The front side of the shape is to your left and the right side view is to your right as you look straight at the graphic.
Construction steps
Step 1: Create a 1x1x1 cube and group into an object.
Lesson 2
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... Toilet Paper Tube
Goal: Identify solids through an investigation of cross sections. [7.G.3 G.…
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Toilet Paper Tube
Goal: Identify solids through an investigation of cross sections. [7.G.3 G.GMD.4]
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difference between polyhedrapolyhedron (prisms and
{CrossSectionBlog.jpg}
Task: Create a variety of solids (or use the files prepared in Lesson 1) and drag a cross section through each solid. Discussion questions to ask include:
home
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... Background Information
You may have heard about SketchUp, first developed in 1999 by @Last So…
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Background Information
You may have heard about SketchUp, first developed in 1999 by @Last Software. Google purchased the company in March of 2006 and Version 8 was launched in 2010. The pro version of the program is used by draftsmen, builders, architects, engineers, filmmakers and game developers. Models can be created and imported into Google Earth with a plugin Wikipeda link
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to Trimble. SketchUp dot comOfficial Website
Hi. My name is Kathy G Shafer. I have been teaching high school and college level mathematics since 1984.
Favorite technologies include Fathom, Tinkerplots, Geometer's Sketchpad, Geogebra, Terrapin Logo, Green Globs, and Spreadsheets.