Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Curated OER
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...
Curated OER
Surface Area and Volume
Accompanying the lesson at www.shodor.org, this worksheet present students with a series of questions about the volume and surface area of a rectangular prism and a triangular prism. Students predict how these values would change if the...
Curated OER
Measuring Volume
In 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
Area and Volume
In this area and volume activity, students calculate the area, volume, and length of sides of different cubes. Students complete this for 3 cubes and answer 3 questions.
Curated OER
Seven Volume of a Prism Problems
In this volume of a prism worksheet, students calculate the volumes and missing lengths of seven prisms. The solutions are provided.
Curated OER
Cylinder: Student Worksheet
In this cylinder worksheet, students compare three different cylinders to experiment which one has the greatest volume. Students interact with rectangles as they experiment with the cylinders.
Curated OER
Two for One Box Company
Here is a challenging and thought-provoking math worksheet. In it, learners work together to construct a variety of boxes of different sizes to see if doubling the size of a box really means it can hold twice as much stuff as the...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Mathematics Assessment Project
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Curated OER
Cylinder: Student Worksheet
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Mr. Hill's Science Website
Density Workbook
It's all about density! Here's a dense workbook for young scientists; they solve (and show work for) 29 density word problems, including a problem where they solve for the density of Godzilla. They complete labs analyzing metal...
Curated OER
Cylinder: Teacher Notes
Middle schoolers construct a basic cylinder out of a piece of paper, then answer seven questions about their cylinder. Questions have to do with measurement, volume, radius, etc.
Willow Tree
Measurement
Build a basic understanding of units of measure and create a great foundation for your learners. The lesson plan gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Curated OER
Math 150 - Differentiation Applications
In this differentiation worksheet, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.
Curated OER
Worksheet 22-Fall 1995
In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.