Mathigon
Mathigon: Euclidean Geometry: Introduction
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...
PBS
Pbs Learning Media: Math + Arts: Shapes & Patterns
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.
TED Talks
Ted: Ted Ed: The Origin of Countless Conspiracy Theories
Why can we find geometric shapes in the night sky? How can we know that at least two people in London have exactly the same number of hairs on their head? And why can patterns be found in just about any text - even Vanilla Ice lyrics?...
Texas Instruments
Texas Instruments: Making Sense of Shapes and Sizes
In this activity, students develop algorithms for generating and generalizing patterns related to triangle and square geometric models.
Shodor Education Foundation
Shodor Interactivate: Sierpinski's Carpet
Step through the generation of Sierpinski's Carpet, a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Alabama Learning Exchange
Alex: Shape Makers
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...
Alabama Learning Exchange
Alex: The Pattern of Graphing Quadratic Equations
The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing...
Texas Education Agency
Texas Gateway: Algebraic Expressions to Represent Angle Properties in Circles
Given numerical and/or geometric patterns that represent angle relationships in circles, the student will investigate inscribed angle relationships.
Scholastic
Scholastic: Do It Yourself Patchwork Gifts
Students will sharpen their geometry skills when they make these holiday gifts. This site offers hands-on activities with geometry skills interwoven.
Primary Resources
Primary Resources: Patterns and Symmetry
Teachers, here's a great resource for worksheets and presentations about symmetry. Includes PowerPoint and smartboard presentations.
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
University of Cambridge
University of Cambridge: Nrich: Triangles to Tetrahedra
Given an unlimited number of a specific type of equilateral, isosceles, and right triangles create as many tetrahedra as are possible. Includes printout.
University of Cambridge
University of Cambridge: Nrich: Net Cuts
In this enrichment game, the nets for nine solids are displayed. The twist is that each net has been cut into two pieces. The challenge is find the pieces that go together.
Illustrative Mathematics
Illustrative Mathematics: G Mg Hexagonal Pattern of Beehives
Beehives are made of walls, each of the same size, enclosing small hexagonal cells where honey and pollen are stored and bees are raised. This problem examines some of the mathematical advantages of the hexagonal tiling in a beehive....
Texas Education Agency
Texas Gateway: Making and Verifying Conjectures About Angles
Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.
Texas Education Agency
Texas Gateway: Making and Verifying Conjectures About Lines
Students will investigate patterns and make conjectures about geometric relationships.
Texas Education Agency
Texas Gateway: Making and Verifying Conjectures About Polygons
Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.
Maths Challenge
Maths challenge.net: Chequered Floor
A problem involving patterns to find the solution to this sequence problem.
CK-12 Foundation
Ck 12: Analysis: Recursive Formulas
[Free Registration/Login may be required to access all resource tools.] This lesson provides a review of a variety of sequence types including recursive, arithmetic, and geometric. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Geometry: Types of Reasoning Study Guide
[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...
Science Buddies
Science Buddies: Tiling With Spidrons
If art and math are both passions of yours, this project is meant for you! Spidrons are geometric forms made from alternating sequences of equilateral and isosceles (30 degrees, 30 degrees, 120 degrees) triangles. Spidrons were...
University of Cambridge
University of Cambridge: Nrich: Where Are They?
Test your logic, polygon properties, and pattern recognition skills working on this challenge. Solution included.
National Council of Teachers of Mathematics
Nctm: Figure This: Table for 19 (Pdf)
The waiters at Polygon's Restaurant need your help. See if you can use your problem solving and patterning skills to help them solve this math challenge. Discover how developing these skills could be useful in real life situations, in...
National Council of Teachers of Mathematics
The Math Forum: Multicultural Math Fair: Navajo Burntwater Designs
Simple lesson designed to help young scholars learn the geometric concepts of translation, reflection, and symmetry by creating Navajo weaving patterns. Includes templates and instructions and is available in English and Spanish....
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