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101 Questions
Water Tank Filling
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.
Curated OER
The Water Tank Problem
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...
Curated OER
How Much Water is There?
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...
Curated OER
Fish Tanks: Volume and Surface Area
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...
Curated OER
Water Treatment Plant Tour
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...
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.
Curated OER
The Big Tank Small Tank Problem
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.
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Water Wise
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...
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...
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...
Balanced Assessment
Toilet Graph
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....
EngageNY
Euler’s Number, e
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.
Curated OER
Cruising
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...
College Board
2007 AP® Calculus BC Free-Response Questions
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...
Curated OER
Worksheet 1
In this calculus instructional activity, students answer 5 short-answer problems regarding different salt solutions per gallon, various size tanks, water flow and time.
College Board
2011 AP® Calculus AB Free-Response Questions Form B
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...
Illustrative Mathematics
Computing Volume Progression 3
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...
Curated OER
Torricelli's Law
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...
Curated OER
Scuba Diving
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.
Curated OER
Measuring Volume
For this volume worksheet, students list the steps they would use to find the volume of different gallon tanks. Students complete 5 measurement problems.
Curated OER
Convection Currents
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. ...
Curated OER
Math Under Pressure
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...
Curated OER
Science: Breathing in Space
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...
Curated OER
Bison Calculations
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...