Mathematics Assessment Project
Calculating Volumes of Compound Objects
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
Education World
Investigating Volume
Explore the concept of volume using unit cubes. Working individually or in small groups, your class measures with a ruler in inches and calculates the volume of various rectangular household boxes (provided by the teacher) and completes...
Virginia Department of Education
Geometry and Volume
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions.
Curated OER
Volume of Solid Figures
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Curated OER
The Molar Volume of a Gas
Students find the standard molar volume of a gas. In this molar volume of a gas lesson plan, students react magnesium metal and hydrochloric acid and collect the hydrogen gas produced using a gas collection tube. Students calculate the...
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson plan of the module. They then use their formulas to calculate volume.
Teaching Ideas
Volume
After understanding that the volume of a unit cube is one cubic centimeter, math masters determine the volume of four larger rectangular shapes. Then they take the challenge to figure out the volume of seven irregular, cube-containing...
Curated OER
Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
Curated OER
An Introduction To Volume
Upper graders explore the topic of volume. In this math lesson plan, pupils count volume in cubic units, multiply to find volume, estimate volume, write a multiplication sentence to find the volume, and make a cost analysis of different...
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
Curated OER
Measuring Volume/Capacity Using the Metric System
There is more than one way to measure an amount, as learners discover by applying multiple measurement tools in these activities. Centimeter cubes, cylinders, beakers, and measuring cups are used to find the volume of regular and...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
American Chemical Society
Finding Volume: The Water Displacement Method
We have formulas for finding the volume of geometric shapes, but what if the shape is irregular? Lesson describes how to find volume through water displacement. After a demonstration, scholars practice in small groups. Then analysis...
EngageNY
Volume and Cavalieri’s Principle
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
EngageNY
Volume of a Sphere
To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...
EngageNY
Volume of Right Prisms
Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...
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...
EngageNY
Volume of Composite Three-Dimensional Objects
Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.
NOAA
Come on Down!
What do we do when a dive is too dangerous for humans to accomplish? Send in the robots! Middle school scientists get acquainted with several different models of submersible robots in the second lesson of six from NOAA. Lab groups then...
Virginia Department of Education
Molar Volume of a Gas
What is a chemist's favorite plant? Stoichiome Tree! Scholars produce hydrogen gas by reacting magnesium with hydrochloric acid. Then they calculate the molar volume of the gas produced before answering assessment questions.
Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
Curated OER
Volume and Surface Area: Which Is More?
Learners explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...