EngageNY
How Do 3D Printers Work?
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
Curated OER
3D Computer Imaging Class: Cross-Section Lesson
Students use 3-dimensional materials to create a simple 3-D object. They think about different ways the object could be sliced. Students choose one way to slice the object, and draw the sliced shape on paper or computer. Using a 3-D...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
Cornell University
Constructing and Visualizing Topographic Profiles
Militaries throughout history have used topography information to plan strategies, yet many pupils today don't understand it. Scholars use Legos and a contour gauge to understand how to construct and visualize topographic profiles. This...
Mathematics Assessment Project
Representing 3-D Objects in 2-D
How does the shape of the surface of water in a container change as water leaks out? After tackling this question, learners take part in a similar activity with more complex figures.
Curated OER
Poly-Mania
This hands-on lesson plan takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable straws....
HeyMath!
Volume of Pyramid
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
Curated OER
Chambered Nautilus
Students create sets of similar triangles which, when fixed together with a piece of Scotch tape, form a spiral-like, segmented shape, slightly similar to the cross section of the shell of a nautilus.
Oleh Yudin
iCrosss
Did you know that a soccer ball is very similar to a truncated icosahedron? Both have 32 faces, but while a truncated icosahedron is made up solely of flat hexagons, a traditional soccer ball has 12 pentagons and 20 hexagons, each curved...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on to learn the...
Curated OER
Cultures of Our World
Students eat food, make crafts, read books, and wear costumes all to learn about another culture. In this culture lesson plan, students can also go to a museum.
Curated OER
Revolving Shapes Around an Axis
Students design a wheel that could be used on a CO2 car. In this engineering instructional activity, students investigate cylinders and volume as they perform rotation around an axis. They create patterns using circular turns about an axis.
Curated OER
Tally of the 1824 Electoral College Vote
Twelfth graders study the parts of the Constitution that address presidential election. They complete a variety of activities designed to spark debate about the flaws in the Electoral College system.
Curated OER
Backwards Goes It Does
Young scholars create a three-dimensional model of the Chicago river watershed to determine the flow of the river at its mouth. They use prepared clear gelatin and topographic maps to discover that the building of canals actually...