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Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
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...
Illustrative Mathematics
Computing Volume Progression 4
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...
Houston Area Calculus Teachers
Area and Volume
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...
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...
101 Questions
Girl Scout Cookies
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...
It's About Time
Mass and Volume
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...
NorthEast Ohio Geoscience Education Outreach
Introduction to Density
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...
Illustrative Mathematics
Archimedes and the King's Crown
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...
Teach Engineering
Density Column Lab - Part 2
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...
Teach Engineering
Sugar Spill!
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...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Volumes of Solids and Surface Areas
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...
Duke University
Calculating the Volume of a Vase
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....
TeachEngineering
Teach Engineering: States of Matter
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...
National Council of Teachers of Mathematics
Nctm: Figure This: Math Challenges for Families
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...
National Council of Teachers of Mathematics
The Math Forum: The Cylinder Problem: Middle School Lesson
This lesson offers an interesting, hands-on experience for middle school students studying cylinders. Students will create cylinders, and measure and compare their volumes.
TeachEngineering
Teach Engineering: New Boxes From Old
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...