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2D Representations of 3D Objects
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This lesson unit is intended to help teachers assess how well students ...

This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
11/01/2017
Remix
3D Modeling of Volume and Surface Area
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Students will create a 3D model comprised of 3 different shapes. This ...

Students will create a 3D model comprised of 3 different shapes. This will be done with Play-doh or in Tinkercad. They will then find the Volume and Surface Area of the composite 3D shape.

Subject:
Education
Material Type:
Lesson
Author:
Nicholas Schaumberg
Date Added:
08/21/2019
Biological Engineering II: Instrumentation and Measurement, Fall 2006
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CC BY-NC-SA
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This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms ...

This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms of genetic, biochemical, and biophysical properties. Methods include light and fluorescence microscopies; electro-mechanical probes such as atomic force microscopy, laser and magnetic traps, and MEMS devices; and the application of statistics, probability and noise analysis to experimental data.

Subject:
Career and Technical Education
Biology
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
So, Peter
Date Added:
01/01/2006
Connect the Dots: Isometric Drawing and Coded Plans
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Students learn about isometric drawings and practice sketching on triangle-dot paper the ...

Students learn about isometric drawings and practice sketching on triangle-dot paper the shapes they make using multiple simple cubes. They also learn how to use coded plans to envision objects and draw them on triangle-dot paper. A PowerPoint® presentation, worksheet and triangle-dot (isometric) paper printout are provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Emily Breidt
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
Drawing Designs in Detail
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Students practice creating rudimentary detail drawings. They learn how engineers communicate the ...

Students practice creating rudimentary detail drawings. They learn how engineers communicate the technical information about their designs using the basic components of detail drawings. They practice creating their own drawings of a three-dimensional block and a special LEGO piece, and then make 3D sketches of an unknown object using only the information provided in its detail drawing.

Subject:
Technology and Engineering
Education
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Benjamin S. Terry, Brandi Briggs, Stephanie Rivale, Denise W. Carlson
Integrated Teaching and Learning Program,
TeachEngineering.org
Date Added:
09/18/2014
Evaluating Statements About Enlargements (2D and 3D)
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This lesson unit is intended to help teachers assess how well students ...

This lesson unit is intended to help teachers assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with the following: computing perimeters, areas and volumes using formulas; and finding the relationships between perimeters, areas, and volumes of shapes after scaling.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
11/01/2017
Exploring Tessellations (Grades K-2)
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In this activity, learners repeat patterns in two and three dimensions to ...

In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations that are appropriate for varying grades and levels.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Eyes on the Solar System
Unrestricted Use
Public Domain
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Eyes on the Solar System is a 3-D environment full of real ...

Eyes on the Solar System is a 3-D environment full of real NASA mission data. Explore the cosmos from your computer. Hop on an asteroid. Fly with NASA's Voyager 2 spacecraft. See the entire solar system moving in real time. It's up to you.

Subject:
Career and Technical Education
Technology and Engineering
Material Type:
Interactive
Provider:
NASA
Date Added:
12/23/2015
Let’s Learn about Spatial Viz!
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Educational Use
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Spatial visualization is the study of two- and three-dimensional objects and the ...

Spatial visualization is the study of two- and three-dimensional objects and the practice of mental manipulation of objects. Spatial visualization skills are important in a range of subjects and activities like mathematics, physics, engineering, art and sports! In this lesson, students are introduced to the concept of spatial visualization and measure their spatial visualization skills by taking the provided 12-question quiz. Following the lesson, students complete the four associated spatial visualization activities and then re-take the quiz to see how much their spatial visualization skills have improved.

Subject:
Mathematics
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
Let’s Take a Spin: One-Axis Rotation
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Students learn about one-axis rotations, and specifically how to rotate objects both ...

Students learn about one-axis rotations, and specifically how to rotate objects both physically and mentally to understand the concept. They practice drawing one-axis rotations through a group exercise using cube blocks to create shapes and then drawing those shapes from various x-, y- and z-axis rotation perspectives on triangle-dot paper (isometric paper). They learn the right-hand rule to explore rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Emily Breidt
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
New Perspectives: Two-Axis Rotations
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Students learn about two-axis rotations, and specifically how to rotate objects both ...

Students learn about two-axis rotations, and specifically how to rotate objects both physically and mentally about two axes. A two-axis rotation is a rotation of an object about a combination of x, y or z-axes, as opposed to a single-axis rotation, which is about a single x, y or z-axis. Students practice drawing two-axis rotations through an exercise using simple cube blocks to create shapes, and then drawing on triangle-dot paper the shapes from various x-, y- and z-axis rotation perspectives. They use the right-hand rule to explore the rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills. At activity end, students re-take the 12-question quiz they took in the associated lesson (before conducting four associated activities) to measure how their spatial visualizations skills improved.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Emily Breidt
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
A Place in Space
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Student groups use a "real" 3D coordinate system to plot points in ...

Student groups use a "real" 3D coordinate system to plot points in space. Made from balsa wood or wooden dowels, the system has three axes at right angles and a plane (the XY plane) that can slide up and down the Z axis. Students are given several coordinates and asked to find these points in space. Then they find the coordinates of the eight corners of a box/cube with given dimensions.

Subject:
Technology and Engineering
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ben Burnham
TeachEngineering.org
Techtronics Program,
Date Added:
09/18/2014
Scaling Cubes
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In this activity, learners explore scale by using building cubes to see ...

In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume. Learners build bigger and bigger cubes to understand these scaling relationships.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Seeing All Sides: Orthographic Drawing
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Students learn how to create two-dimensional representations of three-dimensional objects by utilizing ...

Students learn how to create two-dimensional representations of three-dimensional objects by utilizing orthographic projection techniques. They build shapes using cube blocks and then draw orthographic and isometric views of those shapes—which are the side views, such as top, front, right—with no depth indicated. Then working in pairs, one blindfolded partner describes a shape by feel alone as the other partner draws what is described. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Emily Breidt
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
Using Dimensions: Designing a Sports Bag
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This lesson unit is intended to help you assess how well students ...

This lesson unit is intended to help you assess how well students are able to: recognize and use common 2D representations of 3D objects and identify and use the appropriate formula for finding the circumference of a circle.

Subject:
Education
Mathematics
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
Date Added:
11/01/2017