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.
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...
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.
Worksheet
Curated OER

Fuel Level in a Spherical Tank

For Students 11th - Higher Ed
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...
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.
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 Far Can You Go On a Tank Of Gas?

For Teachers 8th - 10th
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.
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...
Lesson Plan
Curated OER

Surface Area, Who Needs it?

For Teachers 6th - 10th
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.
Activity
PBL Pathways

Gas Prices

For Teachers 10th - Higher Ed Standards
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...
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.
Unit Plan
Radford University

Surface Area and Volume of 3-D Objects

For Teachers 9th - 12th Standards
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...
Interactive
Arcademics

Demolition Division

For Students 3rd - 5th Standards
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.
Lesson Plan
EngageNY

Volume and Surface Area

For Teachers 7th Standards
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...
Assessment
1
1
California Education Partners

John's Trip Disneyland

For Students 5th Standards
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...
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...
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...
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
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...
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

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

Math: Something's Fishy

For Teachers 5th
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...
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

Combined Gas Law

For Students 7th
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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