This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

Students should think of different ways the cylindrical containers can be set up in a rectangular box. Through the process, students should realize that although some setups may seem different, they result is a box with the same volume. In addition, students should come to the realization (through discussion and/or questioning) that the thickness of a cardboard box is very thin and will have a negligible effect on the calculations.

In this Khan Academy interactive, students use the formulas for cylinders, pyramids, cones and spheres to solve problems.

This task would be used within the Geometry unit after the volume of cylinders, cones, and spheres is taught. This lesson was developed by NCDPI as part of the Academically and/or Intellectually Gifted Instructional Resources Project. This lesson plan has been vetted at the state level for standards alignment, AIG focus, and content accuracy.

For this lesson, students know that truncated cones and pyramids are solids obtained by removing the top portion above a plane parallel to the base. Students find the volume of truncated cones.

For this lesson, students use square roots to determine the position of the bottom of a ladder as its top slides down a wall at a constant rate.

For this lesson, students use the Pythagorean Theorem to determine an unknown dimension of a cone or a sphere. Students know that a pyramid is a special type of cone with triangular faces and a rectangular base. Students know how to use the lateral length of a cone and the length of a chord of a sphere to solve problems related to volume.

In this lesson, students know the volume formula for a sphere as it relates to a right circular cylinder with the same diameter and height. Students apply the formula for the volume of a sphere to real-world and mathematical problems.

Formula for volume of cone. Photo of snowcone with a hotspot showing cone on a geometric plane with radius and height labeled.

Formula for volume of cylinder. Photo of National Columns with a hotspot showing cylinder on a geometric plane with radius and height labeled.

This technology enriched lesson is designed to assist students in understanding how to calculate complex volume and how those concepts translate to use in the real world. Learning styles addressed include visual, auditory, and tactile/kinesthetic.

Formula for volume of sphere. Photo of garden concrete sphere with a hotspot showing sphere on a geometric plane with radius labeled.

In this Khan Academy intearctive, students will use the volume and surface area formulas for cylinders to solve problems.

In this lesson, students know the volume formulas for cones and cylinders. Students apply the formulas for volume to real-world and mathematical problems.

In this lesson students will study the surface area and volume of three-dimensional shapes by creating a water tank comprised of these shapes. Students will work in groups of 4-5 to research water tanks, develop scale drawings and build a scale model. Teacher will evaluate the project using a rubric and students will assess one anothers cooperative skills using a rubric.

In this lesson, students write rules to express functions related to geometry. Students review what they know about volume with respect to rectangular prisms and further develop their conceptual understanding of volume by comparing the liquid contained within a solid to the volume of a standard rectangular prism (i.e., a prism with base area equal to one).