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...
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 lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer for the...
Curated OER
Challenge Sheet 7: Area and Cross-Sections
For 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
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
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...
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...
NASA
Next Generation Spacecraft—Orion
What is the cross-sectional area of the Orion spacecraft? Groups work together to estimate the area of a cross section of the Orion spacecraft by first counting the number of grids a scale drawing covers. Pupils also employ a method...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
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...
Curated OER
Cross-Section of a Plant Cell
A one-page worksheet displays a large diagram of the organelles within a plant cell. There are 10 structures to label and a line to write the name of each. There unfortunately are a lot of little dots that you might want to white-out...
Curated OER
Surface Area of Prism
Tenth graders are provided instructions, including a video, on calculating the surface area of a prism. The one-page interactive worksheet contains two worked questions. Answers are included.
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Teach Engineering
Load It Up!
See how a marshmallow can hold up a bridge load. Teams take a closer look at the design of bridge piers. They determine the types of loads that might affect a bridge, and, using that information, they calculate the needed cross-sectional...
Curated OER
Worksheet 2 - Spring 1996
For this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
Curated OER
Applications of Hyperbolas
In this hyperbola worksheet, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
Walt Disney Company
Disaster Preparedness Activity Book
Join the American Red Cross as well as Mickey and friends as they help to prepare young scholars for natural disasters. After reading brief informational passages about earthquakes, floods, fires, storms, tornadoes, and hurricanes,...
Curated OER
Cross-Section of an Animal Cell
A scanned copy of a diagram of the animal cell is what you will find on this worksheet. Learners label organelles on the lines provided. Unfortunately, the figure and font are somewhat fuzzy.
Curated OER
Children's Literature Across the Curriculum Ideas
You can keep this printable idea sheet and use when you're in a tight spot. It contains cross-curricular ideas that span every subject while relating to the African tale, "Anasazi the Spider." Learners will act, write, move, count, and...
It's About Time
Coal and Your Community
When I was young, I was afraid of the dark. Now I am afraid of getting the electric bill. This fourth lesson in a series of eight focuses on coal mining, conservation, and energy efficiency. Scholars start by taking data from a table and...
Mathed Up!
Volume of Prism
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
Mathematics Assessment Project
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on advice people...
Concord Consortium
Sharp-Ness of Bends
Define the sharpest in the group. Given a section of a trail map, pupils determine a method to measure the sharpness of each turn in the path. Individuals then determine what modifications to their formulas to make to find the sharpness...
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