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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...
Annenberg Foundation
Geometry 3D Shapes: Test Your Skills
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
Concord Consortium
Swimming Pool II
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
Noyce Foundation
Building Blocks
Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.
Curated OER
Shipping Rolled Oats
What better way to start your day than with a box of oatmeal? Or what better way to start your geometry class than by calculating its volume? Eighth graders discover just how practical volume computation can be in business and in breakfast!
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 3
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
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...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
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,...
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.
Khan Academy
Khan Academy: Solid Geometry
Find volumes and surface areas of boxes, cylinders, and triangular prisms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
That Quiz
That Quiz: Practice Test: Geometry
This resource allows users to test their geometry knowledge.
Khan Academy
Khan Academy: Solid Geometry Word Problems
In this exercise, students practice volume word problems with cones, cylinders, and spheres. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
Oswego City School District
Regents Exam Prep Center: Cylinders
What is a cylinder? Find a definition, example images, and formulas for determining the volume and surface area of a cylinder if given the radius of the base and the height.
Khan Academy
Khan Academy: Volume 1
In this exercise, students practice finding volume. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Khan Academy
Khan Academy: Volume With Unit Cubes 1
In this exercise, students practice figuring volume with unit cubes. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Common Core Sheets
Common Core Sheets: Geometry 7.g.5 Worksheets
Print or create worksheets or flashcards to assess students' understanding of angle measure, area, surface area, and volume.
Oswego City School District
Regents Exam Prep Center: Cones
What is a cone? Find a definition, example images, and formulas for determining volume and surface area.
Oswego City School District
Regents Exam Prep Center: Spheres
What is a sphere? Find a definition, example images, and formulas to help you determine volume and surface area given the radius.
Oswego City School District
Regents Exam Prep Center: Prisms
What is a prism? Find a good definition and several example images, as well as formulas for finding the volume and surface area of a prism given measurements of its base and height.
That Quiz
That Quiz: Geometria
These interactive activities are designed to examine the mathematical concepts of area, perimeter, surface area and volume. These activities may be used to develop students' understanding of these mathematical concepts.
Other
New York State Education Department: Seventh Grade Math, Book Two (2006) [Pdf]
Part two of two; The March 2006 7th grade Math test from the State of New York. The test is eight open-response questions dealing with topics such as data analysis (making graphs, Venn diagrams), measurement (unit conversions), and...