Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on to learn the...
Curated OER
Flower Vases
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
Illustrative Mathematics
Comparing Snow Cones
Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.
Curated OER
Cylinder: Student Worksheet
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
Gfletchy
Fill ‘er Up
Drink in a lesson on volume. Individuals first view a video clip where a conical cup is used to pour water into a water cooler jug. Using provided dimensions of the cup and the jug, they estimate the number of cups required to fill the...
Bowland
Sports Bag
Lay it out using the least amount of material. Learners use the dimensions of a cylindrical sports bag to find out the size of pieces of material needed to sew them. The pupils find the best placement of the pieces to use the least...
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
Radford University
Choosing the Best Cylinders
Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Radford University
Being Green – Minimizing the Surface Area of a Soda Can
Save the world by designing a new soda can! Learners first measure the dimensions of a typical soda can and calculate its surface area and volume. They then use spreadsheet software to minimize the surface area for the volume, thus...
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
Radford University
Fun with Solids
Geometry is all around us—if we're only willing to look. The final three activities of the Fun with Solids unit continue work on surface area and volume. For lesson three, scholars investigate the formulas for spheres and solve a problem...
Mathed Up!
Volume and Surface Area of a Cylinder
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...
101 Questions
Pea Problem
Understanding volume means less mess in the kitchen. Viewers observe a can of peas and a small bowl. They must determine if all of the peas from the can fit into the bowl without spilling using volume formulas to solve the equation.
101 Questions
You Pour, I Choose
Tall and skinny or short and stout, which glass hold the most liquid? Learners analyze dimensions of cylindrical glasses to determine the one holding the greatest amount of liquid. They brainstorm the relevant dimensions before making...
Shodor Education Foundation
Cross Section Flyer
Scholars see cross sections come to life using an app to investigate cross sections of three-dimensional solids. They look at prisms, pyramids, cylinders, cones, and double cones.
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...
Mathed Up!
Nets, Plans, and Elevations
A dimensional resource teaches viewers to recognize 2-D views of 3-D objects and how to match nets with their 3-D figures. Individuals draw different views of three-dimensional objects including views from the front, side elevations and...
Balanced Assessment
Disc-Ness
Transform your scholars into mathematicians as they develop their own geometric definition. The task asks individuals to compare cylindrical objects and create a definition for the disc-ness of each object. They may use any method and...
Balanced Assessment
Boring a Bead
How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a given...
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Kuta Software
Identifying Solid Figures
Reinforce basic geometry skills in an elementary math lesson. A simple worksheet prompts learners to identify and label 3-D shapes.
Mathematics Assessment Project
Propane Tanks
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...