National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry high schoolers. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a...
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...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
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.
Curated OER
Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
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
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 constant.
EngageNY
Examples of Functions from Geometry
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
Curated OER
Geometry Practice: Volume
For this volume worksheet, students find the volume of 6 solids. Students find the volume of rectangular and triangular prisms.
Curated OER
Volume and Surface Area of Right Rectangular Prisms
Students identify the formulas for three-dimensional figures. They use manipulatives to model problems. Students create foldables and explain volume and surface area. Students complete worksheets and classify solids. Students sing a...
Curated OER
Volume of Rectangular Prisms: Algebra/Geometry Institute Summer 2009
Young scholars find the volume of rectangular prisms. For this volume lesson, students use a formula to find the volume of rectangular prisms. They discuss the definition of volume and draw rectangular prisms. Young scholars identify...
Curated OER
Volume
Students, after reviewing the measuring of the lengths of sides of different shapes along with the calculation of their perimeters and areas, encounter what it means by the 'perimeter' of a polygon. They practice measuring units of...
Curated OER
Geometry and Shapes
High schoolers discuss and identify polygons and lines. In this geometry lesson plan, learners review liner, square and cubic units so they can incorporate it into the lesson plan on measurement and creating packing that are cost effective.
Curated OER
Marshmallow Geometry
In this three-dimensional shapes geometry lesson plan, learners identify geometric solids and name their properties. They define "face," "edge," and "vertex," and construct geometric solids using marshmallows as vertices and toothpicks...
Curated OER
Volume of Prisms
Students calculate the volume of different polygons. In this geometry lesson, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
Curated OER
Solid Surface Area
Students calculate the area of solids. In this geometry lesson, students use formulas to find the surface are and the volume of solids. They investigate 3-dimensional shapes.
Curated OER
The Value of Volume
Students measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of triangles.
NASA
The NBL Pool
That is a lot of water. Class groups explore the size of the NASA's Neutral Buoyancy Pool and calculate the volume of water needed to fill it. They then compare that volume to the amount of water needed to fill a pool the size of a...
Curated OER
Sphere Dressing
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
Curated OER
Dissecting the Cube
Learners investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.
Curated OER
Space Geometry
Students explore points, lines and planes as it relates to geometry. In this geometry lesson, students analyze space and explain wy it is 3-D and not flat or 2-D. They solve problems involving volume and 3-D shapes.
Curated OER
Probability and Geometry
Students explore the ways Geometry can help solve probability problems. Students describe platonic solids and practice calculating probability using an online resource. They construct dice with various numbers of sides to demonstrate...
Curated OER
Poly-Mania
This hands-on lesson takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable straws. Note:...
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...