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Centre for Innovation in Mamatics Teaching

Area, Perimeter and Volume

For Students 5th - 8th Standards
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
Lesson Plan
Curated OER

Outlining Area

For Teachers 3rd - 5th
Explore measuring various objects using square centimeters. Learners create various shapes using five centimeter cubes, calculate the area in square centimeters of different classroom objects, and discover who has the largest mouth,...
Lesson Plan
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Virginia Department of Education

Geometry and Volume

For Teachers 7th - 12th Standards
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. 
Lesson Plan
Curated OER

Volume of Solid Figures

For Teachers 7th - 11th
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Assessment
Mathed Up!

Volume and Surface Area of a Cylinder

For Students 7th - 10th Standards
The measurements are all in the can. The review for the math portion of the General Certificate of Secondary Education assessments provides scholars the opportunity to review finding volume and surface area of a cylinder. Pupils work on...
Activity
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Teach Engineering

How Big? Necessary Area and Volume for Shelter

For Teachers 6th - 8th Standards
Teams must determine the size of cavern needed to house the citizens of Alabraska to protect them from the asteroid impact. Using scaling properties, teams first determining the number of people that could sleep in a classroom and then...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Surface Area and Volume

For Students 6th - 10th Standards
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
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...
Assessment
Mathed Up!

Volume of Prism

For Students 7th - 10th Standards
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
Lesson Plan
EngageNY

Volumes of Familiar Solids – Cones and Cylinders

For Teachers 8th Standards
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.
Lesson Plan
Curated OER

Volume of Solids: Algebra/Geometry Institute

For Teachers 7th - 9th
Use this volume of solids instructional activity 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...
Lesson Plan
Curated OER

Volume of Pyramids and Cones

For Teachers 9th - 12th
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.
Worksheet
Curated OER

Area of Regions

For Students 11th - Higher Ed
In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...
Worksheet
Curated OER

Volume of Solids

For Students 10th
For this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of...
Lesson Plan
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Digital Lesson

Cereal Box Surface Area

For Teachers 5th - 8th Standards
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
Worksheet
Curated OER

Geometry: Calculating the Area of a Circle

For Students 7th - 9th
In this area worksheet, students use the perimeter or radius to determine the area of a circle. This one-page worksheet contains 8 problems. This worksheet may be produced in printed form. Answers may be viewed on-line.
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
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. 
Lesson Plan
Virginia Department of Education

Surface Area of a Rectangular Prism

For Teachers 7th Standards
Wrap up a lesson on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
Worksheet
Curated OER

Geometry: Calculating Volumes

For Students 9th - 12th
In this volume worksheet, students find the volume of 6 prisms/cylinders.  Students use a picture and given measurements of the prisms/cylinders to find the volume.
Lesson Plan
Virginia Department of Education

Surface Area and Volume

For Teachers 9th - 11th Standards
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...
Lesson Plan
EngageNY

Scaling Principle for Volumes

For Teachers 9th - 10th Standards
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...