Worksheet
Math Mammoth

Area- Perimeter- Volume

For Students 7th - 9th
In this geometry worksheet, students use a grid to draw 3 different rectangles that have an area of 20 square units and determine the perimeter of each rectangle. They draw and answer questions related to the relationships and uses of...
Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 3)

For Teachers 9th - 10th Standards
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
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....
Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Lesson Plan
Curated OER

Geometry and Measurement

For Teachers K - 5th Standards
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...
Lesson Plan
Curated OER

Sphere Dressing

For Students 7th - 10th Standards
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...
Lesson Plan
Curated OER

Inquiry Unit: Modeling Maximums and Minimums

For Teachers 8th - 12th
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...
Worksheet
Math Mammoth

Volume Problems

For Students 7th - 9th
In this volume problem instructional activity, students determine the volume of various objects. They compare similar objects and determine the percent of increase and decrease of the surface area and volume. This one-page instructional...
Lesson Plan
Curated OER

Volume and Surface Area

For Teachers 5th - 6th
Learners explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Learners discuss area.
Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
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...
Assessment
Noyce Foundation

Pizza Crusts

For Teachers 6th Standards
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Worksheet
Curated OER

Volume of Solids

For Students 10th
In this volume of solids activity, 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 the...
Lesson Plan
Curated OER

What is Happening?

For Teachers 7th
Review area, perimeter and volume using this lesson. After reviewing key vocabulary relating to these concepts and answering story problems, learners compute the perimeter, area, surface area, and volume of five storage boxes. 
Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
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...
Lesson Plan
EngageNY

The Scaling Principle for Area

For Teachers 9th - 10th Standards
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal. 
Worksheet
CPM

Cones and Spheres

For Students 9th - 10th Standards
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Test Your Skills

For Students 6th - 10th Standards
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
Worksheet
Curated OER

Surface Area and Volume

For Students 6th - 7th
In this surface area and volume instructional activity, students identify and complete each of 20 problems containing a different sized cube. First, they determine the surface area of each cube given the dimensions for height and/or...
Lesson Plan
Curated OER

Area Applet

For Teachers 3rd - 6th
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
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...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 3

For Students 7th Standards
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...
Lesson Plan
Curated OER

Volume and Surface Area: Which Is More?

For Teachers 6th - 8th
Students explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...
Lesson Plan
Curated OER

Surface Area and Measuring

For Teachers 10th
Tenth graders explore volume and surface area through percentages. For this geometry lesson, 10th graders analyze the surface area of two and three dimensional shapes, then use percents and ratio to compare the two.