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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
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
11/01/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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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
08/13/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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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:
Mathematics
Material Type:
Lesson
09/04/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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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:
Mathematics
Material Type:
Lesson
11/19/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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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:
Biology
Career and Technical Education
Life Science
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
So, Peter
01/01/2006
Educational Use
Rating
0.0 stars

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
10/13/2017
Educational Use
Rating
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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:
Career and Technical Education
Education
Technology and Engineering
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
09/18/2014
Only Sharing Permitted
CC BY-NC-ND
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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
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
11/01/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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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
Mathematics
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
12/07/2010
Unrestricted Use
Public Domain
Rating
0.0 stars

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
12/23/2015
Educational Use
Rating
0.0 stars

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
10/13/2017
Educational Use
Rating
0.0 stars

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
10/13/2017
Educational Use
Rating
0.0 stars

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
10/13/2017
Educational Use
Rating
0.0 stars

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:
Career and Technical Education
Mathematics
Technology and Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ben Burnham
TeachEngineering.org
Techtronics Program,
09/18/2014
Educational Use
Rating
0.0 stars

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
10/13/2017
Only Sharing Permitted
CC BY-NC-ND
Rating
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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
Geometry
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Author:
http://map.mathshell.org/