**Name** |
**Description** |

Engineering Design Challenge: Exploring Structures in High School Geometry : | Students explore ideas on how civil engineers use triangles when constructing bridges. Students will apply knowledge of congruent triangles to build and test their own bridges for stability. |

Geometric Construction Site: | This lesson takes students from simple construction of line segments and angles to an optional extension worksheet for creating triangles. |

Construction of Inscribed Regular Hexagon: | A GeoGebra lesson for students to become familiar with computer based construction tools. Students work together to construct a regular hexagon inscribed in a circle using rotations. Both a beginner and advanced approach are available. |

Copying and Bisecting an Angle: | This lesson is a gradual release model that takes students through the process of constructing congruent angles and bisecting angles. |

Inscribe Those Rims: | This lesson will engage students with an interactive and interesting way to learn how to inscribe polygons in circles. |

Bisecting Angles And Line Segments: | This construction lesson will teach students how to bisect an angle and how to find the perpendicular bisector of a segment using a compass and straightedge. |

Construction Junction: | Students will learn how to construct an equilateral triangle and a regular hexagon inscribed in a circle using a compass and a straightedge. |

Triangle Medians: | This lesson will have students exploring different types of triangles and their medians. Students will construct mid-points and medians to determine that the medians meet at a point. |

Inscribe it: | This activity allows students to practice the construction process inscribing a regular hexagon and an equilateral triangle in a circle using GeoGebra software. |

Construct Regular Polygons Inside Circles : | Students will be able to demonstrate that they can construct, using the central angle method, an equilateral triangle, a square, and a regular hexagon, inscribed inside a circle, using a compass, straightedge, and protractor. They will use worksheets to master the construction of each polygon, one inside each of three different circles. As an extension to this lesson, if computers with GeoGebra are available, the students should be able to perform these constructions on computers as well. |

Construct This: | In this lesson, students will construct a square inscribed in a circle using the properties of a square and determine if there is more than one way to complete the construction. |

Constructing an Angle Bisector: | Students construct an angle bisector given a straightedge and compass then verify their process. The Guided Practice is done in stations. One that is teacher lead and one that is student lead. In order to complete the student lead Guided Practice, access to a teacher computer and projector is needed. Then the students independently create their own angle and its bisector and verify their work for a grade. Students use patty paper and protractors to confirm the accuracy of the construction. |

Determination of the Optimal Point: | Students will use dynamic geometry software to determine the optimal location for a facility under a variety of scenarios. The experiments will suggest a relation between the optimal point and a common concept in geometry; in some cases, there will be a connection to a statistical concept. Algebra can be used to verify some of the conjectures. |

Back to the Basics: Constructions: | Students will use compass and straightedge to develop methods for constructions. |

Paper Plate Origami: | This lesson highlights a hands-on activity where students construct inscribed regular polygons in a circle using models. Through guided questions, students will discover how to divide a model (paper plate) into 3, 4 and 6 parts. Using folding, a straightedge and compass, they will construct an equilateral triangle, a square and a regular hexagon in their circles. |

What's the Point? Part 2: | In this lesson, students use a paper-folding technique to discover the properties of angle bisectors. At the conclusion of the activity, students will be able to compare/contrast the points of concurrency of perpendicular and angle bisectors. |

Circumnavigating the Circumcenter: | Students use the concurrent point of perpendicular bisectors of triangle sides to determine the circumcenter of three points. Students will reason that the circumcenter of the vertices of a polygon is the optimal location for placement of a facility to service all of the needs of sites at the vertices forming the polygon. |

Crafty Circumference Challenge: | Students identify, find, and use recycled, repurposed, or reclaimed objects to create "crafty" construction tools to partition the circumference of a circle into three, four, and six congruent arcs which determine vertices of regular polygons inscribed in the circle. |

Right turn, Clyde!: | Students will develop their knowledge of perpendicular bisectors & point of concurrency of a triangle, as well as construct perpendicular bisectors through real world problem solving with a map. |

Halfway to the Middle!: | Students will develop their knowledge of mid-segments of a triangle, construct and provide lengths of mid-segments. |

Location, Location, Location, Location?: | Students will use their knowledge of graphing concurrent segments in triangles to locate and identify which points of concurrency are associated by location with cities and counties within the Texas Triangle Mega-region. |

St. Pi Day construction with a compass & ruler: | St. Pi Day construction with compass
This activity uses a compass and straight-edge(ruler) to construct a design. The design is then used to complete a worksheet involving perimeter, circumference, area and dimensional changes which affect the scale factor ratio. |

Detemination of the Optimal Point: | Students will use dynamic geometry software to determine the optimal location for a facility under a variety of scenarios. The experiments will suggest a relation between the optimal point and a common concept in geometry; in some cases, there will be a connection to a statistical concept. Algebra can be used to verify some of the conjectures. |

Patterns in Fractals: | This lesson is designed to introduce students to the idea of finding patterns in the generation of several different types of fractals. This lesson provides links to discussions and activities related to patterns and fractals as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one. |

What's the Point? Part 1: | This is a patty paper-folding activity where students measure and discover the properties of the point of concurrency of the perpendicular bisectors of the sides of a triangle. |