Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the...
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 4

For Teachers 6th - 9th Standards
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Activity
101 Questions

You Pour, I Choose

For Teachers 9th - 12th Standards
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...
Activity
101 Questions

Girl Scout Cookies

For Students 6th - 8th Standards
How many Girl Scout cookies can you fit in a trunk? Learners consider this question after watching a video of an SUV being filled to the top with single boxes of the cookies. They use measurements of the trunk and the box of cookies to...
Activity
It's About Time

Mass and Volume

For Teachers 7th - 12th Standards
Don't be so dense that light bends around you; study the relationship between mass and volume instead. Young chemists measure the density of a variety of liquids and solids. A reading passage and analysis questions introduce pupils to...
Activity
NorthEast Ohio Geoscience Education Outreach

Introduction to Density

For Teachers 6th - 8th
Seventh grade scientists weigh in on the concept of density. In a nutshell, they participate in the following activities: Measurement of the mass and volume of fruit in order to compare densities Measurement of the mass of oil and water...
Activity
Illustrative Mathematics

Archimedes and the King's Crown

For Teachers 9th - 12th Standards
Learners will shout "Eureka!" in this quick but deep activity replicating the famous bathtub experiment of Archimedes. Given the scenario of a king with a suspected fake crown, young investigators develop formulas using density to...
Activity
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Teach Engineering

Density Column Lab - Part 2

For Teachers 7th - 9th Standards
Groups suspend objects within layers of liquids to determine the densities of different liquids and compare them to the densities of objects calculated in Part 1. The groups then carefully test their calculations by layering the...
Activity
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Teach Engineering

Sugar Spill!

For Teachers 6th - 8th Standards
Sugar isn't good for you, but it's great for yeast! Scholars design an experiment to investigate how variables affect the rate of sugar consumption in yeast. The last installment of a nine-part Life Science unit considers how scientists...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Volumes of Solids and Surface Areas

For Students 9th - 10th Standards
Twenty-five problems cover the topics of volume of solids and surface area. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Activity
Duke University

Calculating the Volume of a Vase

For Students 9th - 10th
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
Activity
TeachEngineering

Teach Engineering: States of Matter

For Teachers 3rd - 4th
Students act as chemical engineers and use LEGO MINDSTORMS NXT robotics to record temperatures and learn about the three states of matter. Properties of matter can be measured in various ways, including volume, mass, density and...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Math Challenges for Families

For Students 2nd - 8th
Students, teachers, and parents alike will enjoy this challenging math site. It contains a clever brain teaser section plus creative problems related to algebra, geometry, measurement, numbers, statistics, and probability. A Spanish...
Activity
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: Middle School Lesson

For Teachers 6th - 8th Standards
This lesson offers an interesting, hands-on experience for middle school students studying cylinders. Students will create cylinders, and measure and compare their volumes.
Activity
TeachEngineering

Teach Engineering: New Boxes From Old

For Teachers 6th - 8th
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...