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11 resources with the concept cavalieri's principle

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Other Resource Types ( 11 )
EngageNY

EngageNY Precalculus and Advanced Topics Curriculum

For Teachers 11th - 12th Standards
A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...
23 Items in Collection
Lesson Planet

EngageNY Precalculus and Advanced Topics Module 3: Rational and Exponential Functions

For Teachers 11th - 12th Standards
In Module 3, precalculus students review the fundamental theorem of algebra, and then find roots of polynomials and roots of unity using polynomial identities, the binomial theorem, and Pascal’s Triangle. As part of their study of...
2 In 2 Collections
Lesson Planet

Volume and Cavalieri’s Principle

For Teachers 11th - 12th Standards
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...
2 In 2 Collections
Lesson Planet

Mid-Module 3 Assessment Task

For Teachers 11th - 12th Standards
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....
Lesson Planet

Designing Euclid’s Playground

For Teachers 10th Standards
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...
Lesson Planet

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
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...
Lesson Planet

Exploring Cavalieri's Principle

For Teachers 9th - 12th Standards
There's no need to mention Cavalieri's principle obliquely. Individuals investigate the relationships between the volumes of right and oblique three-dimensional solids. Application of Cavalieri's principle helps them calculate volumes of...
Lesson Planet

Volume of a Cone

For Students 9th - 12th Standards
What does the volume of a pyramid have to do with the volume of a cone? Young mathematicians derive the volume formula for cones by considering how the cone's cross-sectional areas compare to that of a rectangular pyramid. Solutions will...
Lesson Planet

Volume of a Pyramid

For Students 9th - 12th Standards
It takes three to add up to the whole. Pupils use drawn-in line segments in a triangular prism to show that it can be divided into three pyramids. Learners use what they know about prisms to show the bases of the three pyramids and their...
Lesson Planet

Exploring Cavalieri's Principle: Page 1

For Teachers 9th - 12th
Here is a Cavalieri's Principle lesson plan in which learners find the volume of an oblique cylinder and a triangular pyramid. They discover Cavalieri's Principle by comparing the volume's of the cylinder and pyramid. Pupils notice that...
Lesson Planet

Exploring Cavalieri's Principle: Page 2

For Teachers 9th - 12th
High schoolers use their Ti-Nspire to find the cross sectional area of oblique cylinders and triangular pyramids. They apply Cavalier's Principle to three different prisms to find the area of their cross sections.