Activity
101 Questions

Water Tank Filling

For Teachers 9th - 12th Standards
Grab your classes' attention with a video presentation of a problem to solve. Young scholars develop a plan to predict the time it takes to fill a tank with water. Video footage provides the statistics they need to make their conclusions.
Worksheet
Curated OER

The Water Tank Problem

For Students 10th - 12th
In this volume of a cube problem, students compute the number of gallons of water in a cubical water tank (one mile cubed). They must determine how long it will take to drain the tank at a rate of one gallon per second. The solution is...
Lesson Plan
Curated OER

How Much Water is There?

For Teachers 8th - 10th
Students investigate the amount of fresh water on earth and which water can be used for consumption. In this fresh water lesson plan, students calculate the amount of fresh water that can be used for consumption on earth. They use a 5...
Lesson Plan
Curated OER

Fish Tanks: Volume and Surface Area

For Teachers 5th - 7th
Given a very realistic challenge, your young geometers design residential fish tanks in rectangular and triangular prism shapes. They compute the volume of water each will hold. They also determine the size of plastic covers for each...
Lesson Plan
Curated OER

Water Treatment Plant Tour

For Teachers 9th - 11th
Students define vocabulary related to geometry and calculate the volume. In this geometry lesson, students calculate flow rates, and volume as it relates to a water plant facility. They calculate the volume of three dimensional shapes...
Assessment
Mathematics Assessment Project

Propane Tanks

For Students 9th - 12th Standards
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.
Interactive
Curated OER

The Big Tank Small Tank Problem

For Students 4th - 7th
In this liter learning exercise, students complete a word problem where they figure out how much water is added to two different tanks. Students complete 1 problem.
Lesson Plan
Curated OER

Water Wise

For Teachers 6th - 9th
Students calculate their family's water consumption. In this water usage lesson, students discuss the water they use in their homes. Students complete the 'water wise' worksheets to tally their family's use of water. Students answer...
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...
Unit Plan
Radford University

Fun with Solids

For Teachers 9th - 12th Standards
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...
Assessment
1
1
Balanced Assessment

Toilet Graph

For Students 9th - 12th Standards
Mathematics can model just about anything—so why not simulate the height of water in a toilet bowl? The lesson asks pupils to create a graphical model to describe the relationship of the height of the water as it empties and fills again....
Lesson Plan
EngageNY

Euler’s Number, e

For Teachers 9th - 12th Standards
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number. 
Lesson Plan
Curated OER

Cruising

For Teachers 5th - 7th Standards
Cruise ships offer many engaging opportunities for real-world math adventures. These large, floating cities use resources with numbers into the thousands place. Young mathematicians are asked to calculate numerical information...
AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
Worksheet
Curated OER

Worksheet 1

For Students 12th - Higher Ed
In this calculus instructional activity, students answer 5 short-answer problems regarding different salt solutions per gallon, various size tanks, water flow and time.
AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 3

For Teachers 5th - 7th Standards
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
Lesson Plan
Curated OER

Torricelli's Law

For Teachers 9th - 12th Standards
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
Lesson Plan
Curated OER

Scuba Diving

For Teachers 9th - 12th
Students discover that scuba diving is more than a sport. It's a science that operationally integrates physics, chemistry, physiology, and oceanography. They perform a simple experiment which simulates the air tanks used in scuba diving.
Worksheet
Curated OER

Measuring Volume

For Students 4th - 6th
For this volume worksheet, students list the steps they would use to find the volume of different gallon tanks. Students complete 5 measurement problems.
Lesson Plan
Curated OER

Convection Currents

For Teachers 7th - 8th
Young scholars explain and understand the circulation of air in the atmosphere. They identify that energy can be carried from one place to another by heat flow or by waves, including water, light and sound waves, or by moving objects. ...
Lesson Plan
Curated OER

Math Under Pressure

For Teachers 9th - 12th
High schoolers are told that an air tank contains a fixed volume of air under pressure. As air is used, the pressure decreases at a rate that depends on the depth. Students discuss how SCUBA divers calculate the amount of time they can...
Lesson Plan
Curated OER

Science: Breathing in Space

For Teachers 6th - 12th
Students determine the amount of air they use during rest and activity. They conduct experiments to calculate the number of breaths needed to empty a jug of water by exhaling through a tube into the container. Then, they figure how much...
Lesson Plan
Curated OER

Bison Calculations

For Teachers 6th - 8th
Middle schoolers discuss how animals are cared for when they are captured. Using calculations, they determine how much food and water it takes for one bison and compare their water intake to humans. They also compare their weight to...