EngageNY
Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and other...
NASA
Transportation and Space: Reuse and Recycle
What can I use in space? The three-lesson unit has groups research what man-made or natural resources would be available during space exploration or habitation. Team members think of ways that resources can be reclaimed or reused in...
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...
Teach Engineering
Penny Perfect Properties (Solid-Liquid Interations)
I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
Illustrative Mathematics
Doctor's Appointment
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
Illustrative Mathematics
Centerpiece
Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are asked...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
EEWeb
Geometry: Shapes and Solids
An excellent resource for a geometry class, as well as for an electrical engineering course. A thorough reference sheet covers geometric shapes such as triangles, parallelograms, and circles, as well as 3-D shapes and the Pythagorean...
Virginia Department of Education
Geometry and Volume
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions.
Kuta Software
Volume of Pyramids and Cones
Your learners will get a lot of practice finding volumes of pyramids and cones in this nicely written practice learning exercise. It even has room for them to show their work. The first few pyramids and cones are labeled pictures, while...
Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship between pyramid and...
Cord Online
Pyramids and Cones
Young mathematicians find the surface area and volume of a square pyramid and a cone. In what looks like a typical activity out of a textbook, you'll find an activity where learners find an unknown measurement of a pyramid or cone,...
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...
Alaska Department of Education
Mathematics Reference Sheet
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
National Research Center for Career and Technical Education
Manufacturing: Gas Metal Arc Welding (GMAW) Shielding Gas Mix
Middle schoolers apply math to the real-world skill of choosing the correct shielding gas mixture for welding. Even if you do not have shielding gas cylinders on hand for demonstrating, the concepts of converting percentages into...
National Research Center for Career and Technical Education
Architecture and Construction: Stair Construction
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
CPM
Cones and Spheres
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
Mathed Up!
Spheres and Cones
Class members learn how to apply formulas for spheres and cones with a video that begins with a review of the formulas for surface area and volume of spheres and cones. Pupils use these formulas to solve problems on a worksheet.
Curated OER
Towers of Steel
This lesson starts with geometers discussing how to find the volume of a cone and pyramid, using what they know about the volume of a cylinder or prism. Then, using the formulas, they calculate the volume of cones and other conics using...
Texas Instruments
Cylindrical Soda Can
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
Curated OER
Screaming for Ice Cream
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone. Young scholars solve the problem symbolically, graphically, and through the use of integration or...
Curated OER
Volumes of Rectangular Prisms
Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
Curated OER
Advanced Algebra with the TI-89
Pupils investigate the formulas for volumes of various solids using the Ti-89 calculator. The lesson focuses on the keying sequences necessary to embed the required volume formula in a program which is then used in the problem solving...