Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The last day of...
Charleston School District
Review Unit 8: Geometry Applicaitons
Pupils complete a review worksheet that highlights the key problems from the first eight lessons in the series. Topics include the Pythagorean Theorem and its converse, as well as finding volume of three-dimensional figures.
Mathematics Assessment Project
Evaluating Statements About Enlargements
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
University of Chicago
Don't Be Too Flaky
Snow, ice, and water are all composed of H2O. Does that mean they all have the same volume? Discover the ways that the densities of these substances determine their volumes, and how they change based on their current states of matter....
EngageNY
Examples of Functions from Geometry
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Curated OER
Volume Questions
In this math worksheet, young scholars practice finding the volume of objects by reading several word problems. Students complete 4 word problems which ask for young scholars to find the volume of different figures.
Teach Engineering
Floaters and Sinkers
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
Science Geek
Stoichiometry
Watch your class react when you tell them they're going to study stoichiometry! The lesson demonstrates four examples. Scholars must write and balance the chemical equation and then make the conversion to find the correct mass or volume....
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 advice people...
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...
Virginia Department of Education
Measuring Mania
Conversion immersion — it's measuring mania! A set of four activities teaches scholars to convert between customary and metric units. Resource covers unit conversions in length, temperature, weight/mass, and volume.
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
101 Questions
Building Boxes
Build foundational knowledge of volume by building boxes. Given dimensions for a piece of grid paper, young mathematicians determine the number of possible open-top boxes it will make. As part of this task, they also find the box with...
Kenan Fellows
Density
Most scholars associate density with floating, but how do scientists determine the exact density of an unknown liquid? The third lesson in a seven-part series challenges scholars to find the mass and volume of two unknown liquids. Each...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Curated OER
Determining Maximum Volume of an Open Box
In this geometry instructional activity, 10th graders calculate the maximum volume of a box constructed from a sheet of paper. The one page instructional activity contains one problem with step-by-step calculator directions. Solution is...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Illustrative Mathematics
Doctor's Appointment
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this instructional activity series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The instructional...
Beyond Benign
Water Bottle Unit
How much plastic do manufacturers use to create water bottles each year? The class explores the number of water bottles used throughout the years to determine how many consumers will use in the future. Class members compare different...
Royal Society of Chemistry
Moles Equations (14-16)
In chemistry, the mole is a unit of measurement, much like a millimeter or liter. After learning about moles, scholars learn various equations relating to mass, volume, and concentration. They review each of these equations in a few...
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