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

"Triangle Congruence Show" Starring Rigid Transformations: | Students will be introduced to the definition of congruence in terms of rigid motion and use it to determine if two triangles are congruent. |

A Transformation's Adventure with Patty Paper: Exploring Translations, Reflections and Rotations.: | This lesson is an introduction to isometric transformations explained using patty paper. Meant for students with limited access to technology, it uses patty paper as a principal resource. Translations, reflections and rotations will be explained and practiced with this inexpensive element, emphasizing the properties preserved during those transformations and, without sacrificing precision, allowing students to differentiate between these isometries in a simple way. |

An Investigation of Angle Relationships Formed by Parallel Lines Cut by a Transversal Using GeoGebra: | In this lesson, students will discover angle relationships formed (corresponding, alternate interior, alternate exterior, same-side interior, same-side exterior) when two parallel lines are cut by a transversal. They will establish definitions and identify whether these angle pairs are supplementary or congruent. |

Coding Geometry Challenge #10 & 11: | This set of geometry challenges focuses on scaled drawings and area as students problem solve and think as they learn to code using block coding software. Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor. |

Coding Geometry Challenge #23 & 24: | This set of geometry challenges focuses on using transformations to show similarity and congruence of polygons and circles. Students problem solve and think as they learn to code using block coding software. Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor. |

Dilly Dallying with Dilations: | Students will understand the concept of dilation by constructing similar polygons on a coordinate grid using coordinate notation of dilation . Students use similar figures to determine the scale factor. Students use proportions to determine side lengths of similar figures. |

Exploring Rotations with GeoGebra: | This lesson will help students understand the concept of a geometric rotation. The teacher/students will use a GeoGebra applet to derive the rules for rotating a point on the coordinate plane about the origin for a 90 degree, 180 degree, and a 270 degree counterclockwise rotation. |

Help me Find my Relationship!: | In this lesson, students will investigate the relationship between angles when parallel lines are cut by a transversal. Students will identify angles, find angle measures, and they will use the free application GeoGebra (see download link under Suggested Technology) to provide students with a visual representation of angles relationships. |

How Many Degrees?: | This lesson facilitates the discovery of a formula for the sum of the interior angles of a regular polygon. Students will draw all the diagonals from one vertex of various polygons to find how many triangles are formed. They will use this and their prior knowledge of triangles to figure out the sum of the interior angles. This will lead to the formulation of a formula for finding the sum of interior angles and the measure of one interior angle. |

Identifying Similar Triangles: | This 105-minute lesson series helps teachers assess how students reason about geometry, including how they use facts about the angle sum and exterior angles of triangles to calculate missing angles, apply angle theorems to parallel lines cut by a transversal, and interpret geometrical diagrams using mathematical properties to identify similarity of triangles. In order to complete this lesson, students will need whiteboards, pens, wipes, copies of the assessment tasks, pencils, markers, scissors, glue sticks, and poster paper. |

Polygon Transformers: | This guided discovery lesson introduces students to the concept that congruent polygons can be formed using a series of transformations (translations, rotations, reflections). As a culminating activity, students will create a robot out of transformed figures. |

Rotations and Reflections of an Equilateral Triangle: | Students will apply simple transformations (rotation and reflection) to an equilateral triangle, then determine the result of the action of two successive transformations, eventually determining whether the action satisfies the commutative and associate properties. |

Rotations and Reflections of an Equilateral Triangle: | Students will apply simple transformations (rotation and reflection) to an equilateral triangle, then determine the result of the action of two successive transformations, eventually determining whether the action satisfies the commutative and associate properties. |

Scientific calculations from a distant planet: | Students will act as mathematicians and scientists as they use models, observations and space science concepts to perform calculations and draw inferences regarding a fictional solar system with three planets in circular orbits around a sun. Among the calculations are estimates of the size of the home planet (using a method more than 2000 years old) and the relative distances of the planets from their sun. |

Shape It Up: | Students will draw diagonals for different polygons, separating the polygons into triangles. Using the fact that the sum of the measures of the interior angles of a triangle is 180 degrees, and the fact the angles of the triangles are used to form the angles of the polygons, students will derive the formula for finding the sum of the measures of the angles of a polygon with n sides. Students will also learn to use this formula, along with the fact that all angles of a regular polygon are congruent, to find the measures of the angles of a regular polygon. |

Slide to the Left... Slide to the Right!: | Students will identify, review, and analyze transformations. They will demonstrate their understanding of transformations in the coordinate plane by creating original graphs of polygons and the images that result from specific transformations. |

Special Angle Pairs Discovery Activity: | This lesson uses a discovery approach to identify the special angles formed when a set of parallel lines is cut by a transversal. During this lesson students identify the angle pair and the relationship between the angles. Students use this relationship and special angle pairs to make conjectures about which angle pairs are considered special angles. |

The Ins and Outs of Polygons: | In this lesson, students will explore how to find the sum of the measures of the angles of a triangle and then be able to find the sum of the measures of the angles of other polygons. They will also be able to find the sum of the exterior angles of triangles and other polygons. Using both of these concepts, they will be able to find missing measurements. |

Transformations... Geometry in Motion: | Transformations... Geometry in Motion is designed for students to practice their knowledge of transformations. Students will represent transformations in the plane, compare transformations, and determine which have isometry. Students should have a **basic understanding** of the rules for each transformation as they will apply these rules in this activity. There is a teacher-led portion in this lesson followed by partner-activity. Students will be asked to explain and justify reasoning, as well. |

Triangles on a Lattice: | In this activity, students will use a 3x3 square lattice to study transformations of triangles whose vertices are part of the lattice. The tasks include determining whether two triangles are congruent, which transformations connect two congruent triangles, and the number of non-congruent triangles (with vertices on the lattice) that are possible. |

Triangles on a Lattice: | In this activity, students will use a 3x3 square lattice to study transformations of triangles whose vertices are part of the lattice. The tasks include determining whether two triangles are congruent, which transformations connect two congruent triangles, and the number of non-congruent triangles (with vertices on the lattice) that are possible. |

Triangles: Finding Interior Angle Measures: | In this lesson plan, students will start with a hands-on activity and then experiment with a GeoGebra-based computer model to investigate and discover the Triangle Angle Sum Theorem. Then they will use the Triangle Angle Sum Theorem to write and solve equations and find missing angle measures in a variety of examples. |