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
Mid-Module 3 Assessment Task
Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
CK-12 Foundation
Ck 12: Calculus: Volume by Cross Section
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
CPALMS
Cpalms: Exploring Cavalieri's Principle
[Free Registration/Login Required] In this lesson, students use the geometry program GeoGebra to explore Cavalieri's Principle, specifically to investigate whether it applies when calculating the volume of oblique solids. Lesson includes...
Trinity College Dublin
History of Mathematics: Bonaventura Cavalieri (1598 1647)
A biography of Cavalieri that includes information on his principle or "indivisibles." From a 1904 text by W. W. Rouse Ball.
Illustrative Mathematics
Illustrative Mathematics: G Gmd, G Mg Tennis Balls in a Can
In this task, learners investigate the volume of tennis balls and their cylindrical container, the empty space around the balls, different ways of slicing them, and what their visualizations will look like. Aligns with G-GMD.B.4 and...
Illustrative Mathematics
Illustrative Mathematics: Use Cavalieri's Principle to Compare Aquarium Volumes
The management of an ocean life museum will choose to include either Aquarium A or Aquarium B in a new exhibit. In doing this task, students discover the formula for the volume of a sphere. Aligns with G-GMD.A.2 and HSG-MG.A.1.
CK-12 Foundation
Ck 12: Geometry: Surface Area and Volume Study Guide
[Free Registration/Login may be required to access all resource tools.] This study guide looks at the definitions and postulates of surface area and volume for different solids, including composite solids and similar solids.
Wolfram Research
Wolfram Math World: Cavalieri's Principle
This site gives brief information on Cavalieri's Principle.