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Purdue University
Plastic Water Bottle Design – What’s the Best Shape?
Join the fight to reduce plastic waste. A hands-on STEM activity first teaches scholars about the scourge of plastic waste. They then measure the dimensions of water bottles to calculate surface areas and volumes before using the surface...
Radford University
Being Green – Minimizing the Surface Area of a Soda Can
Save the world by designing a new soda can! Learners first measure the dimensions of a typical soda can and calculate its surface area and volume. They then use spreadsheet software to minimize the surface area for the volume, thus...
Radford University
A Day at the Beach!
Make math class feel like a day at the beach (minus all the sunburns, of course). Given information about a pail, a soup can, and a plastic pyramid mold, pupils calculate the volume of sand that can fit in each. They then design sand...
Radford University
Choosing the Best Cylinders
Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...
College Board
2006 AP® Calculus AB Free-Response Questions Form B
An exam divides the six free-response questions into calculator use and no calculator use items. The non-calculator items are conceptual in nature and test whether pupils understand the calculus concepts. Scholars explain their answers...
Colorado State University
What Causes Pressure?
Are you feeling the pressure? Let loose a little with a kinesthetic activity that models molecular motion in a closed space! The activity varies conditions such as volume and temperature and examines the effects on molecules.
K20 LEARN
Chicken Truck: Writing Algebraic Expressions
How did the chicken travel down the road? Given a picture of a chicken truck, class members brainstorm what information they need to determine the total number of chickens on the truck. Pupils research for the information and devise a...
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
Radford University
Koi Pond
There's nothing fishy about the activity. Future mathematicians design a koi pond from various three-dimensional shapes. They calculate the perimeter, area, and volume of the pond, and then create PowerPoint presentations. They also...
Radford University
Coal Silo Design Task
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
College Board
2007 AP® Calculus AB Free-Response Questions Form B
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
College Board
2004 AP® Calculus BC Free-Response Questions Form B
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 6
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
Royal Society of Chemistry
Symbols
Chemistry calculations can look a bit like alphabet soup at times. How do you help pupils make sense of it all? An interactive resource helps scholars sort through the symbols for common quantities such as moles, boiling point, and...
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
College Board
2003 AP® Calculus AB Free-Response Questions Form B
Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...
College Board
2011 AP® Calculus BC Free-Response Questions
Does the exam look pupils expected? Released free-response questions from the AP® Calculus BC exam allow teachers and pupils to see and practice with actual exam questions. Three of the questions come from the AB portion of the course...
College Board
2010 AP® Calculus AB Free-Response Questions Form B
Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...
Radford University
Filling Up a Swimming Pool Task
Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...
Curated OER
Soil Excavation
Students comprehend how percent of change and multipliers are used to determine volume for removal and replacement of soils. They calculate soil volume percent changes using data tables. They apply formulas to solve a variety of...
Curated OER
Gas Laws
In this gas laws worksheets, learners figure volumes, densities, molar masses, reactions, and solve equations as they encounter 14 gas laws questions.
Curated OER
Gas Laws
In this gas learning exercise, students practice using the gas laws to calculate volume, pressure, or temperature of gases in 12 different word problems.
Curated OER
Volumes in 3-D
For this geometry worksheet, 11th graders calculate the volume of there dimensional shapes using the formula for cylinders. They are given the height and the base and asked to calculate the volume. There are 4 problems.