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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
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...
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
Fuel Level in a Spherical Tank
In this spherical tanks and fuel level worksheet, students are given a diagram showing the effects of gravity or acceleration on the level of fuel in a spherical tank. Students solve 3 problems including finding the general formula for...
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.
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 Far Can You Go On a Tank Of Gas?
Students calculate the distance they can travel on a tank of gas. In this algebra lesson, students use ratio and proportion to solve word problems. They graph their results and discuss their findings with the class.
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
Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
PBL Pathways
Gas Prices
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
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.
Radford University
Surface Area and Volume of 3-D Objects
Don't let the class tank the project. After reviewing formulas for surface area and volume, pupils design fish tanks that maximize volume. They research cost of materials online and must meet a budgetary constraint when creating their...
Arcademics
Demolition Division
Divide and conquer! Learners fire quotients at tanks carrying division problems. Correct answers destroy the tanks as they approach the base defenses. Pupils play six rounds that are one minute each to finish the online game.
EngageNY
Volume and Surface Area
The 26th part of a 28-part series requires pupils to determine whether the answer to a problem requires surface area or volume. The class works problems about fish tanks that prompt individuals to decide, based on the question, which...
California Education Partners
John's Trip Disneyland
It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...
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...
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...
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...
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...
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
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
Math: Something's Fishy
Fifth graders imagine an aquarium filled with 1,000 fish on a math worksheet. They express each species as a fraction of the total number of fish in the tank. Students reduce each fraction to lowest terms and then express them as...
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
Combined Gas Law
In this combined Gas Law worksheet, 7th graders determine the volume of the gas at a specific temperature and pressure amount. Then they explain what happens when the tank cools and the pressure of the gas increases. Students also...
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