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...
Charleston School District
Volume of Rounded Objects
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
Charleston School District
Volume of Composite Shapes
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
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.
Curated OER
Geometry Worksheets-volume of Sphere
In this geometry worksheet, 10th graders determine the volume of a sphere, given the diameter or the radius. The one page interactive worksheet contains eight questions. Hints, clues, and answers are provided.
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.
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
Curated OER
Volume of Solids
In this volume of solids activity, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
EngageNY
Volume of Composite Solids
Take finding volume of 3-D figures to the next level. In the 22nd lesson plan of the series, learners find the volume of composite solids. The lesson plan the asks them to deconstruct the composites into familiar figures and use volume...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Curated OER
Volume of Spheres
Learners find the volume of spheres. In this geometry lesson, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.
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...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target I
A slideshow covering the Smarter Balanced Target I on solving problems involving volume of cylinders, cones, and spheres contains five sample items. Items range from finding the volume of a figure to finding the altitude of a cone given...
University of Utah
Integer Exponents, Scientific Notation and Volume
A one-stop resource for exponents, square and cube roots, scientific notation, and volume formulas guides learners through properties of exponents. As they learn to apply these properties to operations with scientific notation,...
EngageNY
End-of-Module Assessment Task - Geometry (module 3)
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
Curated OER
Sphere Dressing
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 5
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and...
CPM
Cones and Spheres
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
Mathed Up!
Spheres and Cones
Class members learn how to apply formulas for spheres and cones with a video that begins with a review of the formulas for surface area and volume of spheres and cones. Pupils use these formulas to solve problems on a worksheet.
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...
Curated OER
Learning About Volume
Learners explore the concept of volume. They develop formulas for volume of prisms. Then use their formulas to find missing dimensions of various prisms such as height, length, width, radius, and diameter.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...