EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer for the...
Curated OER
Cross Sections
Young visual learners explore different cross sections of 3-dimensional objects. First, cross sections of cubes are explored by using an interactive flash activity. This is then extended by looking at cross sections of spheres,...
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...
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...
Curated OER
Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
Curated OER
Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus instructional activity, students solve areas rotated and bounded by two functions. They solve using the washer method.
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Chopping Cubes
Middle schoolers work in small groups to make various geometric solids with Play-Doh. They use fishing line to make cuts and observe the shapes of the cross-sections. Pupils complete an assessment in which they answer questions such as:...
Curated OER
Planet Earth in Cross Section
Students will examine the layers of the Earth. In this geology lesson, students create a scale model of the Earth's interior using cash register tape. They will determine the percentage of error in the scale compared to the actual size...
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Poly-Mania
This hands-on lesson 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. Note:...
Curated OER
Play Dough Day
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
Curated OER
Inside Earth
Students study the makeup of the earth, including the core, the mantle and the crust. They compare the temperatures and thicknesses of each layer. In pairs, they make a model of a cross-section of the earth out of modeling clay.
Curated OER
Non-Objective Design from Fine Art
High schoolers create a rectangle from a section of selected fine art image.
Curated OER
Bridge Collapse
Pupils read about and view a real bridge that collapsed. They examine the fundamentals of building a solid and safe bridge and then construct their own bridge model using rolled newspaper and tape.
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Curated OER
Molehill or Mountain
Students explore the concept of waste management. In this environmental stewardship lesson, students consider the trash generated by people per day and discuss what steps they can personally take to reduce waste.
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Filter Feeding in Reef Sponges
Students investigate the role of sponges in our oceans. In this biology lesson, students create a diagram visualizing how sponges bring food into their bodies through a filtering process. Students discuss the connections between...
Curated OER
Under Our Feet
Students investigate the forest ecosystem to learn of the living and non-living elements of the soil. In this ecosystem lesson, students examine soil for twigs, moss, fungi, leaves, roots and other matter. Students complete a...
Curated OER
Filter-Feeding in Reef Sponges
Students make observations and describe the filter-feeding in sponges as it relates to the ecological role of sponges on coral reefs. For this filter-feeding in reef sponges lesson, students are introduced to the feeding methods of...
Curated OER
Determining Beam Stress and Deflection with COSMOSXpress
Students analyze cantilever stress using COSMOSXpress. In this engineering lesson, students calculate the beam's maximum deflection. They investigate the effect changing beam dimensions.
Curated OER
Decimal Addition and Subtraction
In this decimal addition and subtraction worksheet, students use a computer program for initial instruction, then complete 22 problems with decimals.
Curated OER
For Creative Minds
Students study pictures of plants, animals, and minerals. Students classify the pictures into the three groups. For this rock identification lesson, students complete a rock finding lab experiment by finding, cleaning, identifying, and...