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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...
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...
Curated OER
Volume of Rectangular Prism and Cylinder
Learners calculate volume of rectangular prisms and cylinders. They draw and label figures to use the formulas to calculate the volume of rectangular prisms. In addition, they use objects to calculate volume in a hands on activity.
Key Curriculum Press
Lesson 10.2 Volume of Prisms and Cylinders
Tenth graders investigate volume in class and in the real world. They explore volume of cylinders and prisms as it relates to different subjects. Pupils also investigate how important volume is in different career field.
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
Curated OER
Volume of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry lesson, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
Curated OER
Volumes of Prisms and Cylinders
Learners calculate the volume of prisms and cylinders. In this geometry lesson, students are give part of the formula, and must calculate the missing parts. They use 80% accuracy for their dimensions.
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones activity, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
Curated OER
Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson plan to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
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.
Curated OER
Volume of Prisms
Students calculate the volume of different polygons. In this geometry instructional activity, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
Curated OER
Volume Review
Learners investigate the concepts of volume for rectangular prisms and spheres. They measure the volume of one balloon and then consider how many breaths it would take to fill the room with balloons. The rectangular prism being measured...
Curated OER
Liquid Volume
Eighth and ninth graders calculate the volume of a rectangular prism and a cylinder. In this liquid volume lesson plan, pupils use formulas to calculate the volumes of cylinders and prisms and then they use water to determine the volumes...
Curated OER
Surface Areas of Prisms, Pyramids and Cylinders
Learners identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use Internet...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Virginia Department of Education
Volume of a Rectangular Prism
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity...
Curated OER
Displacement and Density
High schoolers explore displacement. In this displacement and density lesson, pupils find the volume of irregular shaped objects. Afterward, they determine the volume of containers. They compute the amount of water displacement.
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
EngageNY
Volume of Composite Solids
Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
Curated OER
Volume of Rectangular Prisms
Introduce the procedure needed to find the volume of a rectangular prism. Learners rank various prisms such as cereal boxes and tissue boxes from smallest to largest volume. They use an applet to find the volume and surface area of each...
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...