Activity
Maths Challenge

Maths challenge.net: Inscribed Rectangle

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 equal area of inscribed polygons problem.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Geometry

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in geometry: Triangles, and Circles and Other...
Handout
Maths Challenge

Maths challenge.net: Three Circles

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

Maths challenge.net: Measuring Mountains

For Students 9th - 10th Standards
Use your triangle solving skills to solve this triangle problem and then apply it to the real world.
Activity
Maths Challenge

Maths challenge.net: Maximum Square

For Students 9th - 10th Standards
A challenging proof like geometry of finding the square inscribed in a triangle.
Activity
Maths Challenge

Maths challenge.net: Isosceles Trapezium

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior knowledge of problem solving and thinking through proofs is recommended to solve this trapezoid inscribed in a semicircle problem.
Activity
Maths Challenge

Maths challenge.net: Right Angle Reasoning

For Students 9th - 10th Standards
A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.
Activity
Maths Challenge

Maths challenge.net: Lunes

For Students 9th - 10th Standards
A "three star" geometry problem where some experience of math problem solving skills and knowledge of circles is recommended to solve this lunes (parts of a circles) area problem
Unit Plan
Oswego City School District

Regents Exam Prep Center: Writing a Proof: Direct Euclidean Proofs

For Students 9th - 10th Standards
This site is a look into the world of geometric proofs. You'll learn what a proof is and about the different types of proofs. Try the practice page to check your understanding. Teachers can check out the teacher resources for lesson and...
Unit Plan
Texas Education Agency

Texas Gateway: Constructing and Justifying Statements About Geometric Figures

For Students 9th - 10th Standards
Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.
Unit Plan
Cuemath

Cuemath: Euclidean Geometry

For Students 9th - 10th Standards
Explore the world of Euclidean geometry by understanding euclidean and non-euclidean geometry, the postulates and axioms, and how to apply them while solving problems. Check-out the solved examples for better understanding and try your...
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 students are able to produce and evaluate geometrical proofs. PowerPoint slides are included with the lesson.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Two Column Proofs

For Students 9th - 10th Standards
A response to an inquiry of how to prove a two column geometric proof problem at the Math Forum. This site gives a description of what a makes a proof and an example of a two column proof.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Building Two Column Proofs

For Students 9th - 10th Standards
Use this site to find details of how to construct a two column proof. Dr. Math responds to a question posed by a student and details the reasons for the order of steps and shows two different ways to do the same proof.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Order of a Proof

For Students 9th - 10th Standards
The site gives a diagram of steps to a proof. Dr. Math explains why the step order of a proof is important.
Activity
Texas Instruments

Texas Instruments: Exploring Geometry and Algebra Using Cabri Jr. Application

For Teachers 9th - 10th Standards
To prove the Perpendicular Bisectors Theorem using the Cabri Jr. Application, graphically and algebraically.
Activity
Texas Instruments

Texas Instruments: Perimeters, Areas, and Slopes Oh, My!

For Teachers 9th - 10th Standards
In this activity, students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.
Lesson Plan
Science Education Resource Center at Carleton College

Serc: Pythagorean Theorem Investigations

For Teachers 9th - 10th Standards
In 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.
Lesson Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras

For Teachers 9th - 10th Standards
Interactive resources and activities that could be used in the classroom either as an introduction or review to a unit dealing with the Pythagoras Theorem. [Requires Java.]
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Relaciones Entre Figuras Geometricas

For Students 9th - 10th Standards
In Spanish. Explore the world of circle interactively. Some of the topics are circumscribed and inscribed quadrilaterals and point of tangency.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras

For Students 9th - 10th Standards
In Spanish. In this interactive activity you can learn and understand the concept of the Pythagoras theorem.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: De Los Numeros Naturales a Los Complejos

For Students 9th - 10th Standards
This interactive unit will expand your knowledge from natural to complex numbers. Learn how to express a complex number in polar form, move from rectangular form to polar form and vice versa, operate with complex in polar form and...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Coordenadas Polares

For Students 9th - 10th Standards
Learn how to represent points and curves on the polar coordinate system.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Conicas

For Students 9th - 10th Standards
Learn about the different conic sessions and try the different interactive exercises.