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.
Curated OER
Surface area of a cylinder
Students construct a cylinder made of paper with detachable bases. Then they are taught the formulas for finding the area of a curved surface and the total surface area of a cylinder. A great hands-on approach!
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
Curated OER
Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
Curated OER
Concept Attainment Model: Volume and Surface Area
Using a concept attainment approach, learners identify surface area and volume by sorting examples (photos) that depict each concept (positive) from those that don't (negative). Then as a class, they develop definitions of each term...
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...
Curated OER
Volume and Surface Area of Right Rectangular Prisms
Learners identify the formulas for three-dimensional figures. They use manipulatives to model problems. Students create foldables and explain volume and surface area. Learners complete worksheets and classify solids. Students sing a...
Curated OER
Surface Areas of Prisms, Pyramids and Cylinders
Young scholars 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...
Curated OER
Volume and Surface Area
Students explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
Curated OER
Area, Surface Area and Volume of 3-D Shapes
Math whizzes examine the relationship between area and volume and the relationship between a 3-D shape and its surface area. Following discussion and practice, pupils participate in a project in which they design packaging for a new...
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
The Surface Area of a Cylinder
Students find the circumference and diameter of several circles and calculate the surface area of cylinders. In this surface area of a cylinder lesson plan, students use rectangles and lids to make several cylinders. They calculate the...
Illustrative Mathematics
How Thick Is a Soda Can I?
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
Curated OER
Leaves, the Sun, and the Water Cycle
As a way to combine life and physical science, or simply as an investigation of plant transpiration, this lesson is sure to inspire! Middle schoolers capture the moisture given off by plants that are placed in different conditions. They...
Curated OER
The Surface Area of a Cylinder
Students measure the circumference of a cylinder. In this cylinder lesson plan, students use round container lids and flexible rectangles to measure the circumference of the cylinder. They put the shapes together to make their own...
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
Surface Area
Students calculate the surface area of cubes, solids and cylinders. In this geometry lesson, students define the surface area formulas for different prisms. They calculate the surface area with 100%, and 80% accuracy.
Curated OER
Measurement: Cylinders
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
Curated OER
A Rectangular Prism and Its Net
Identify the nets for prisms and other geometric shapes. Learners calculate the surface area of the rectangular prism then sketch the shapes of prisms and other polygons. Unfolded cereal boxes are used as a visual aid, great idea!
PBS
Surface Area and Volume
You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...
Curated OER
Volume And Surface Area Of Prisms
Eighth graders investigate concepts related to the finding of the area of prisms. They use boxes as models of calculating the area while getting ready for the next level. The instructors are given sovereignty over the assessments and the...
Santa Monica College
Introducing Measurements in the Laboratory
We use basic units of measurement to break down things and communicate clearly. The first lesson in an 11-part series teaches the proper way to measure various items. It starts simply with measuring the dimensions and areas of geometric...
Curated OER
A Cylinder Workshop
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
Curated OER
Investigation-On the Surface
Young scholars compute the surface area of 3 geometric solids to determine the shape of package that would require the least amount of paper to wrap. In this geometry lesson, students work on a two-question assessment embedded in the...
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