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.
Lesson Plan
Science Education Resource Center at Carleton College

Serc: Pythagorean Theorem Investigations

For Teachers 9th - 10th Standards
In this activity, learners 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.
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
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...
Unit Plan
Cut the Knot

Cut the Knot!: Napoleon's Theorem

For Students 9th - 10th
This site gives an explanation of Napolean's Theorem and gives several links to Napoleon's Theorem.
Unknown Type
Khan Academy

Khan Academy: Line and Angle Proofs

For Students 9th - 10th Standards
Explore different ways of proving some theorems about lines and angles. Some transformations are used. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Activity
Cut the Knot

Cut the Knot!: Monge's Theorem of Three Circles and Common Tangents

For Students 9th - 10th Standards
Very good site presenting a Trig problem dealing with tangents lines and circles, then linking the student to the solution
Activity
Mathematics Archives

Math Archives: Visual Calculus: Quotient Rule

For Students 9th - 10th
This site gives the quotient theorem and examples that the student can work through.
Lesson Plan
Alabama Learning Exchange

Alex: Geometrica Fights Back!

For Teachers 9th - 10th Standards
This activity is designed to give learners practice with the properties of special quadrilaterals (parallelograms, rectangles, rhombuses, squares, trapezoids, and kites). The students are provided with a "murder mystery" sheet with...
Handout
Wolfram Research

Wolfram Math World: Divergence Theorem

For Students 9th - 10th
This site gives proof of the Divergence Theorem. Students should be somewhat familiar with divergence and gradient to utilize this site.
Activity
Massachusetts Institute of Technology

Mit: World Math Web: The Squeeze Theorem

For Students 9th - 10th
This page contains an explanation and a proof of the squeeze theorem.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Trig Limits

For Students 9th - 10th
The tutorial investigates the squeeze theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are available in pdf format.
Lesson Plan
Alabama Learning Exchange

Alex: The Pythagorean Theorem in the Real World

For Teachers 9th - 10th Standards
The introduction of this lesson has students verifying the famous Pythagorean Theorem with a hands-on proof. Students will then apply the Theorem in one of two ways: by solving for the side lengths of a right triangle and by determining...
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Unit Plan
TED Talks

Ted: Ted Ed: How to Prove a Mathematical Theory

For Students 9th - 10th
Explore mathematical proofs and how they are used in our everyday life with this animated video. [4:39]
Handout
Wolfram Research

Wolfram Math World: Two Column Proof

For Students 9th - 10th Standards
MathWorld gives a discussion of the use of two-column proofs by high school and middle school students and its relevance to mathematicians.
Graphic
Curated OER

Mathematical the Four Color Theorem and Computer Proof

For Students 9th - 10th
This site describes the role of computer involvement in the four color map theorem.
Graphic
Curated OER

Mathematical the Four Color Theorem and Computer Proof

For Students 9th - 10th
This site describes the role of computer involvement in the four color map theorem.