EngageNY
General Pyramids and Cones and Their Cross-Sections
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
Shodor Education Foundation
Cross Section Flyer
Scholars see cross sections come to life using an app to investigate cross sections of three-dimensional solids. They look at prisms, pyramids, cylinders, cones, and double cones.
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
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,...
Shodor Education Foundation
Cross Sections
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The instructional activity includes a list of relevent terminology, and a step-by-step process to...
Curated OER
Ordering Geologic Events using Cross-Sections
Young scholars analyze geologic cross-sections. Students observe proper use of SMART Board technology. They examine cross-sections and order the geologic events. Young scholars describe the environments in which the cross-section formed.
Curated OER
Cross Sections and Collision Times
High schoolers solve five problems including finding the cross sectional area of two bodies, determining the swept out volume of a moving body, finding the average particle volume of a body and determining the collision time for a body.
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 instructional activity develops the definition of a general cylinder. Scholars continue on to develop a graphical...
Curated OER
Multi-dimensional Modeling of Ore Bodies Making Sense of Empirical Data
Math scholars identify four different rock types in that strata and use this identification and data to construct a two dimensional geologic cross-section. They use data tables to construct a three-dimensional geologic cross-section.
Curated OER
Challenge Sheet 7: Area and Cross-Sections
In this area worksheet, students set up integrals which evaluate the area of a region bounded by graphs. they use vertical and horizontal cross-sections. This two-page worksheet contains seven multi-step problems.
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...
Curated OER
Tree Cookies!
"Tree Cookies!" is a delicious little presentation designed to introduce upper elementary or middle school botanists to the anatomy of a tree trunk. The cambium, phloem, xylem, and other vital structures are identified and defined. Two...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
Contour and Cross-Section Skills
In this geography worksheet, learners identify the Wolf Creek Crater and how it was formed. They examine a contour map given of how the crater would look from above. Then, pupils use a ruler to draw lines as on the graph to the side....
Curated OER
Chunnel Cross-Section
Students research the use of the English Channel Tunnel and analyze its benefits for commerce, transportation, and travel. They recognize the engineering feat and mechanics of constructing the Tunnel and demonstrate basic understanding...
EngageNY
End-of-Module Assessment Task - Geometry (module 3)
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
Curated OER
Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration.
Curated OER
Tree Friends
Students identify their special tree using all senses other than sight. They identify six different internal parts within a cross section of tree trunk
(bark, phloem, xylem, cambium, heartwood, and roots). Students compare and contrast...
Curated OER
Tree Cookies
You will find a viewer-friendly PowerPoint on the growth rings and other features found in a cross-section of a tree trunk, affectionately known as a "tree cookie." A few worksheets are provided for practice counting tree rings and a...
Curated OER
Area of Cross-Sections
In this area worksheet, students find the area of regions bounded by graphs. They set up integral equations for determining the vertical cross-section and the horizontal cross-section of a given figure. This one-page worksheet contains...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
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
Signs of Change: Tree Rings
Students identify and experiment with dendrochronology (the study of tree rings to answer ecological questions about the recent past) and come up with conclusions as to what possible climatic conditions might affect tree growth in their...
Mathematics Vision Project
Module 7: Modeling with Geometry
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
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