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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern

For Teachers 9th - 10th Standards
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...
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Activity
University of Cambridge

University of Cambridge: Nrich: Triangles to Tetrahedra

For Students 3rd - 8th Standards
Given an unlimited number of a specific type of equilateral, isosceles, and right triangles create as many tetrahedra as are possible. Includes printout.
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Interactive
University of Cambridge

University of Cambridge: Nrich: Net Cuts

For Students 3rd - 5th Standards
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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Hexagonal Pattern of Beehives

For Teachers 9th - 10th Standards
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....
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Unit Plan
Texas Education Agency

Texas Gateway: Making and Verifying Conjectures About Angles

For Students 9th - 10th
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.
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Unit Plan
Texas Education Agency

Texas Gateway: Making and Verifying Conjectures About Lines

For Students 9th - 10th
Students will investigate patterns and make conjectures about geometric relationships.
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Unit Plan
Texas Education Agency

Texas Gateway: Making and Verifying Conjectures About Polygons

For Students 9th - 10th
Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.
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Unknown Type
Maths Challenge

Maths challenge.net: Chequered Floor

For Students 9th - 10th Standards
A problem involving patterns to find the solution to this sequence problem.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Recursive Formulas

For Students 10th - 12th Standards
[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,...
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Handout
CK-12 Foundation

Ck 12: Geometry: Types of Reasoning Study Guide

For Students 9th - 10th Standards
[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...
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Lesson Plan
Science Buddies

Science Buddies: Tiling With Spidrons

For Teachers 9th - 10th
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...
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Activity
University of Cambridge

University of Cambridge: Nrich: Where Are They?

For Students 3rd - 8th
Test your logic, polygon properties, and pattern recognition skills working on this challenge. Solution included.
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Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Table for 19 (Pdf)

For Students 3rd - 8th Standards
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...
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Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Multicultural Math Fair: Navajo Burntwater Designs

For Students 3rd - 8th
Simple instructional activity designed to help students learn the geometric concepts of translation, reflection, and symmetry by creating Navajo weaving patterns. Includes templates and instructions and is available in English and...
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Activity
University of Cambridge

University of Cambridge: Nrich: Four Triangles Puzzle

For Students K - 1st Standards
Sharpen your logic and and pattern recognition skills with this four triangles puzzle. The solution is available to check your work.
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Activity
University of Cambridge

University of Cambridge: Nrich: Seven Sticks

For Students K - 1st Standards
On this one page website sharpen your logic, triangle properties, and pattern recognition skills while working on this challenge. The solution is available to double check your solution.
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Whiteboard
ClassFlow

Class Flow: Tangrams

For Teachers 9th - 10th Standards
[Free Registration/Login Required] In this flipchart, students use the interactive features in Activstudio to simulate translations and reflections using objects. Students develop and apply their understanding of geometric sense by...
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Handout
Other

Porcelai Nia: Tessela

For Students 9th - 10th Standards
Tessellated geometric patterns in art are discussed and illustrated in this resource.
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Article
A&E Television

History.com: How Cats Became Divine Symbols in Ancient Egypt

For Students 9th - 10th
Along with hieroglyphics, obelisks and geometric patterns, cats feature prominently in ancient Egyptian art, reflecting the animal's unique status among the people who dwelled along the Nile River. The animals were initially adopted as...
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry

For Teachers 3rd - 8th Standards
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.
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Activity
National Council of Teachers of Mathematics

The Math Forum: What Is a Tessellation?

For Students 3rd - 8th Standards
The Math Forum defines and illustrates geometric tessellation.
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Lesson Plan
Annenberg Foundation

Annenberg Learner: Learning Math: Symmetry

For Teachers 9th - 10th
This presentation provides a tutorial on symmetry. In the tutorial, you will do the following: learn about geometric symmetry, explore line or reflection symmetry, explore rotation symmetry, and explore translation symmetry and frieze...
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Visual Patterns in Tessellations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Young scholars will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature...
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Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Upside Down (Pdf)

For Students 3rd - 8th Standards
What lowercase letters read the same both upside down and right side up? If you have the answer, then you can handle this geometric symmetry math challenge. A one-page activity from the NTCM Math Challenge for Families collection....

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