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Activity
Maths Challenge

Maths challenge.net: Coloured Strings

For Students 9th - 10th Standards
A "three star geometry problem" - requiring the knowledge of what a cuboid is and a some knowledge of how to do proofs.
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Activity
Maths Challenge

Maths challenge.net: Parallelogram Property

For Students 9th - 10th Standards
A "three star geometry problem" requiring knowledge of how to complete geometric proofs properties of parallelogram.
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Activity
Maths Challenge

Maths challenge.net: Unique Circle Equal Angles

For Students 9th - 10th Standards
A "three star geometry problem" - requiring the knowledge of biconditional statements and how to prove such problems.
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Activity
Maths Challenge

Maths challenge.net: Corner Circle

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior knowledge of circles and triangles is recommended to solve this circle in the corner problem.
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Activity
Maths Challenge

Maths challenge.net: Shaded Cross

For Students 9th - 10th Standards
Find the area of this tilted cross with your geometry skills.
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Handout
Other

Xah Lee: Some Theorems on Rotation and Translation

For Students 11th - 12th Standards
This site is for the purpose of using proofs for geometry. It helps by giving some useful theorems.
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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.
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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...
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Handout
Other

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.
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Whiteboard
ClassFlow

Class Flow: Circles Geometry

For Teachers 6th - 8th Standards
[Free Registration/Login Required] Students identify segments and lines related to circles and the properties of a tangent to a circle.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Quadrilaterals That Are Parallelograms

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Prove a quadrilateral is a parallelogram.
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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.
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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.
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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...
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Activity
Maths Challenge

Maths challenge.net: Cables

For Students 9th - 10th Standards
This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this problem with cables in duct problem.
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Activity
Maths Challenge

Maths challenge.net: Radical Axis

For Students 9th - 10th Standards
This is a "three star" geometry problem requiring knowledge of proofs and properties of circles. Students will use the given definition of radical axis and prior knowledges to prove a way to find a radical axis.
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Activity
Cut the Knot

Cut the Knot!: The Law of Cosines (Cosine Rule)

For Students 9th - 10th Standards
This site from Cut The Knot provides an overview of the law of cosines, complete with an explanation of the law and a proof of the law.
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PPT
Sophia Learning

Sophia: Cpctc: Lesson 2

For Students 9th - 10th
This lesson will demonstrate the use of CPCTC in triangle congruencey proofs. It is 2 of 4 in the series titled "CPCTC."
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Whiteboard
ClassFlow

Class Flow: Collinearity, Betweenness, and Assumptions

For Teachers 9th - 10th
[Free Registration/Login Required] This flipchart is aligned with the book Geometry for the Enjoyment and Challenge. This lesson is collinearity, betweenness, and assumptions to help in the development of the study of proofs.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Triangle Inequality Theorems

For Students 9th - 10th Standards
This tutorial discusses triangle inequality and provides practice problems for students to try out their skills. The teacher resource page contains a lesson plan for a yummy activity involving licorice.
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Unit Plan
Cuemath

Cuemath: 30 60 90 Triangle

For Students 9th - 10th
In this lesson, learn all about the 30-60-90 triangle. Learn about its sides, its area, and the rules that apply to these triangles. Includes simulations and practice questions.
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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.
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Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Proof the Inscribed Angle Theorem

For Teachers 9th - 10th Standards
Dr. Math gives a student a hint on how to prove that an inscribed angle is equal to 1/2 the central angle. You should know what the central angle and inscribed angle are to utilize this site.
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Handout
Dartmouth College

Dartmouth College: The Different Styles of Euclid and Copernicus

For Students 9th - 10th Standards
A history of the differences between Euclid's and Copernicus's methods of proving geometric ideas.

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