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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
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...
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...
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...
Curated OER
Area and Volume Metric Conversions - Grade Seven
Students investigate unit conversion. In this unit conversion lesson, students will build models of square and cubic centimeters using grid paper and generate formula tables for converting units of area and volume. The tables...
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine the...
Curated OER
Measure: Perimeter, Area and Volume
Students practice measuring with formulas. In this measurement lesson, students complete an activity that requires them to calculate perimeter, area, and volume.
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.
PBS
Surface Area and Volume
You and your class will like this lesson plan 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...
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 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 a Cylinder
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
Curated OER
Areas and Volumes
Tenth graders calculate the area and the volumes of polygons. In this geometry lesson, 10th graders review the formulas used to solve for the area and volume and explain to the class how they arrived at their answer. They search online...
Curated OER
Fill and Wrap It Up
Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Curated OER
Turn UP the Volume!
Eighth graders find the surface area and volume of the figures and enter formulas into the spreadsheet to calculate surface area and volume for the given figures. They also find the volume and determine the shape which has the least...
Curated OER
Cover and Boarders
Pupils find the area and perimeter of rectangular figures. They use this information to find patterns and discover relationships between area and perimeter. Students apply and explain formulas relating to perimeter, area, and volume.
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...
Curated OER
Double, Double: Looking at the Effect of Change on Perimeter, Area and Volume
Students explore perimeter, volume, and area. In this math lesson, students explore how changes in dimensions of geometric shapes affect the perimeter, area and volume of the various shapes. Students investigate the results when the...
Curated OER
Effect on Surface Area and Volume
Students identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They discuss...
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.