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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...
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...
Activity
Chymist

Pressure-Volume Relationships: Experiments with 140-mL Syringe

For Students 9th - 12th
Learners examine Boyle's Law by analyzing experimental results with a hands-on lesson that provides a set of four experiments that illustrate the relationship between pressure and volume of gases. Groups analyze results using...
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
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...
Lesson Plan
Curated OER

Shipping Rolled Oats

For Teachers 7th - 9th Standards
What better way to start your day than with a box of oatmeal? Or what better way to start your geometry class than by calculating its volume? Eighth graders discover just how practical volume computation can be in business and in breakfast!
Activity
Illustrative Mathematics

Ice Cream Cone

For Teachers 9th - 12th Standards
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
Activity
Yummy Math

Penny Wars

For Teachers 6th - 10th Standards
As the saying goes, a penny saved is a penny earned. Young scholars use a penny activity to earn their way to an understanding of volume. Given three different-sized cylindrical containers, individuals make calculations to determine the...
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 2

For Teachers 5th - 7th Standards
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change. 
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Baylor College

Global Atmospheric Change: The Math Link

For Teachers K - 5th Standards
Change up the classroom atmosphere with this interdisciplinary resource. Following along with the children's book Mr. Slaptail's Curious Contraption, these math worksheets provide practice with a wide range of topics including...
Lesson Plan
Illustrative Mathematics

How Many Cells Are in the Human Body?

For Teachers 9th - 11th Standards
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some...
Activity
101 Questions

Meatballs

For Teachers 9th - 12th Standards
Your classroom will overflow with learning as they analyze the volume in a pot of meatballs. Young mathematicians predict the number of meatballs that will make a pot of sauce overflow. They incorporate both the volume of cylinders and...
Activity
Illustrative Mathematics

Doctor's Appointment

For Teachers 9th - 10th Standards
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
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Teach Engineering

Density Column Lab - Part 1

For Teachers 7th - 9th Standards
Mass and density — aren't they the same thing? This activity has groups use balance beams and water displacement to measure several objects. The pupils use the measurements to calculate the density of the objects. 
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...
Activity
101 Questions

Hot Coffee

For Teachers 9th - 12th Standards
Your classes will be wide awake during a piping hot lesson! Introduce the resource with a video of the world-record-breaking cup of coffee. Learners work to determine the volume of the cup of coffee to predict if it will break the record.
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

Popcorn Picker

For Teachers 6th - 8th Standards
A video and popcorn, just like being at the movies! Given the dimensions of two different cylinders, scholars decide which will hold the most popcorn. They find out if their calculations are correct with the provided solution video.
Activity
Florida Center for Instructional Technology

Two for One Box Company

For Teachers 4th - 6th
Given a box of certain dimensions, young mathematicians must determine if a box that is twice as big, actually holds twice as much. This is a brain-teaser of a problem. The worksheet provides a handy table that has learners calculate the...
Activity
101 Questions

Dandy Candies

For Students 6th - 8th Standards
Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...
Activity
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Activity
Teach Engineering

Build the Biggest Box

For Students 8th - 10th Standards
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
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2
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Teach Engineering

Measuring Viscosity

For Teachers 10th - 12th Standards
Groups use a marble to determine the viscosity of household fluids. The procedure calls for pupils to measure the amount of time it takes a marble to fall a specified distance in the fluids. Using unit conversions and algebra, the teams...

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