eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 4.1 Theorems and Proofs

For Students 9th - 10th Standards
Understand theorems and proofs as they relate to geometry.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Pythagorean Theorem and Pythagorean Triples

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Apply the Pythagorean Theorem and its converse. Includes videos, exercises, links to interactive activities, etc.
Handout
Oswego City School District

Regents Exam Prep Center: Theorems and Postulates for Geometry

For Students 9th - 10th Standards
Here is a partial list of theorems, postulates, and properties.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Two Column Proofs Intermediate

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to write two-column proofs, and provides proofs for the Right Angle Theorem, Same Angle Supplements Theorem, and Vertical Angles...
Article
University of Regina (Canada)

University of Regina: Math Central: The Binomial Theorem and the Principle of Inclusion & Exclusion p.i.e.

For Teachers 9th - 10th Standards
Get an explanation of the Principle of Inclusion and Exclusion and work through a proof using the Binomial Theorem. This resource concludes with two examples.
Unit Plan
CK-12 Foundation

Ck 12: Flex Book: Pythagorean Theorem

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Learning module that introduces students to the Pythagorean Theorem. Topics include history, applications, and proofs related to this geometry concept.
Lesson Plan
OER Commons

Oer Commons: Mars: Proving the Pythagorean Theorem

For Teachers 9th - 10th Standards
This lesson is intended to help you assess how well learners are able to produce and evaluate geometrical proofs. PowerPoint slides are included with the lesson.
Unit Plan
Cuemath

Cuemath: Hypotenuse Leg Theorem

For Students 9th - 10th
Explore the world of the hypotenuse leg theorem in this mini-lesson. Provides a definition, examples, and practice questions with answers that help with understanding their properties.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 1.7 the Pythagorean Theorem

For Students 9th - 10th Standards
Explore and discover the Pythagorean theorem.
Lesson Plan
Science Education Resource Center at Carleton College

Serc: Pythagorean Theorem Investigations

For Teachers 9th - 10th Standards
For this activity, students will gain an understanding of the Pythagorean theorem and will recognize the variety of ways in which theorems can be proved algebraically, geometrically and visually.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proofs of Derivative Applications Facts

For Students 9th - 10th
The tutorial consists of proofs of derivative applications. Topics discussed are Fermat?s theorem, mean value theorem, and Rolle?s theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Handout
Harvey Mudd College

Hmc Mathematics Online Tutorial: The Mean Value Theorem

For Students 9th - 10th
This resource defines the mean value theorem and Rolle's theoem and also discusses key concepts of these theorems.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Pythagorean Theorem

For Students 7th - 9th Standards
Material to supplement introductory instruction on the Pythagorean Theorem. A very simple look at its use in geometry, a multiple-choice quiz through which students can test themselves and check their answers, and a teacher resource...
Handout
Cut the Knot

Cut the Knot!: Pythagoras' Theorem

For Students 9th - 10th
This site explains the Pythagorean theorem, giving a proof from Euclid, and gives a great interactive visual aid with a good explanation with it.
Handout
Cut the Knot

Cut the Knot!: Fundamental Theorem of Algebra

For Students 9th - 10th Standards
Contains detailed historical information regarding the Fundamental Theorem of Algebra and the various proofs that were developed. Click on the links at the bottom of the page to access all the information.
Unit Plan
Cuemath

Cuemath: Midsegment of a Triangle

For Students 9th - 10th Standards
This mini-lesson explores the world of the midsegment of a triangle by finding the answers to questions like what is midsegment of a triangle, triangle midsegment theorem, and proof with the help of interactive questions.
Unit Plan
Cuemath

Cuemath: Triangle Inequality Theorem

For Students 9th - 10th
This lesson explores triangle inequality theorem, triangle inequality theorem-proof, and triangle inequality theorem problems. Try the hands-on triangle inequality theorem calculator and interactive problems to have a better...
Unit Plan
Cuemath

Cuemath: Angle Bisector Theorem

For Students 9th - 10th Standards
This short lesson focuses more on the angle bisector theorem. Learn about the angle bisector theorem proof, triangle angle bisector theorem, how to construct angle bisector, and other interesting properties and facts around angle bisectors.
Activity
Other

Georgia Tech: The Four Color Theorem

For Students 9th - 10th
An explanation and proof of the Four Color Map Theorem. Includes illustrative images and a plethora of information.
Handout
Wolfram Research

Wolfram Mathworld: Theorem

For Students 9th - 10th Standards
This simple MathWorld site defines theorems and briefly explains how a theorem is produced.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Integral Properties

For Students 9th - 10th
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
Activity
Texas Instruments

Texas Instruments: Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 10th Standards
In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a...
Unit Plan
Lawrence Hall of Science

The Math Page: Skill in Algebra: The Pythagorean Theorem

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the Pythagorean Theorem from solving for missing sides of a right triangle through its proof. There are example problems solved, problems for the student to attempt, and answers to the...
Handout
National Council of Teachers of Mathematics

The Math Forum: Nctm: Ask Dr. Math: Binomial Theorem by Induction

For Students 9th - 10th Standards
Question-and-answer page about a proof of the Binomial Theorem by induction.