Eighth graders are presented with a tile pattern showing an apparent square surrounded by four octagons. They are asked to answer a question about congruency and angle measurements, as well as prove that the interior shape is really a...

Students will build, extend, describe, predict, graph and generate rules for patterns and functions designed to help students understand the connection between geometric and numerical patterns (younger students) as well as between...

This interactive exercise focuses on determining probabilities associated with repeated coin tosses and building tree diagrams to take math out of the classroom and into the real world.

Mathematicians in ancient Greece were amazed by mathematical patterns, and wanted to explore and explain them. They began to study mathematics just "for fun" without a specific application in mind. One of these mathematicians, Thales of...

In this lesson, students will watch videos about shapes and identify shapes in their environment and in art. Links to the videos are at the bottom of the lesson overview, other material links are also provided.

In this Five E's AMSTI lesson, students discover relationships between shapes. Students discover multiple ways to combine shapes to fill the area of a given shape using real and virtual pattern blocks, and share their solutions with...

[Free Registration/Login may be required to access all resource tools.] Reasoning is a fundamental part of geometric proofs. There are several types of reasoning, many of which we innately and naturally picked up. However, the different...

This lesson plan deals with tessellations and their geometric concepts. Upper elementary and middle school students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and culture.

Working as engineering teams, students design and create model beam bridges using plastic drinking straws and tape as their construction materials. Their goal is to build the strongest bridge with a truss pattern of their own design,...

This cross-curricular middle school unit integrates mathematics and visual art. Through the study of the M.C. Escher?s work, students explore tiling from both a mathematical and artistic point of view. Points for discussion and...

In addition to arithmetic and geometric sequences, Fibonacci Numbers, and figurate numbers, there are countless interesting sequences that don't follow a similar, regular pattern. These include prime numbers, perfect numbers, the...

In the Islamic culture, circles are considered to be a unit of measurement and the basis for the organization of space. This is illustrated at this site by a series of exercises.