Transformations Teacher Resources
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Learners create rotation templates from cardboard, covering sheets of paper with repeating patterns. They add details to create Escher-type pieces of artwork. They examine transformational geometry on various Web sites.
Students work in cooperative groups to manipulate a figure on the computer to demonstrate different types of geometric transformations. They generate formulas that can be used to translate different figures.
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral and create pinwheels.
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used geometry in their artwork.
Students work cooperatively to create transformational works of art using furniture and recycled products in this excellent unit for an art class. The introductory activity includes a video and organization of group ideas.
Tenth graders explore transformations. In this geometry lesson, 10th graders use tiles to create border or frieze patterns. Students identify the transformations used and identify it as an isometry or congruence transformation. Students investigate which properties are preserved with each border pattern created.
The concept of transformation is explored as students use their Ti-Nspire to transform polygons. Students translate, reflect, and rotate various polygons and construct tessellations.
In this graphing calculator learning exercise set, 6th graders use lists of coordinate points to draw a picture of Snoopy. They transform Snoopy using changes in the coordinates. They apply another set of coordinate points to make a picture called "Bridget Blockhead" and they follow directions to make and list transformations. (This can be used as an assessment.)
Clearly written, step-by-step guided practice in creating a figure and performing a transformation with the award-winning Geometer's Sketchpad software makes up the first three pages of this resource. Questions ask for explanations of the work. Budding geometers then execute 4 translation exercises on paper. Work could be conducted independently, or in small- or whole-groups with this guide. Answers are not included.
Students explore geometry using a Rubik's Cube. In this 2-D and 3-D shapes lesson, students use the Rubik's Cube to find the center, edge and corner pieces. Students then find the dimensions of the Rubik's Cube and read the solution guide. After reading students demonstrate methods and algorithms.
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function that matches the graph given the equation of the parent function.
Shape shifters explore transformation through the construction of patterns on a TI handheld. In this math lesson, learners investigate and apply their knowledge of reflection, translation, rotation, and dilation. This assignment requires minimal teacher involvement.
The University of New York Regents High School Exam for geometry from August 2009 is comprehensive in scope with 38 questions over 22 pages. Geometers can assess their mastery of core content with a combination of multiple choice and constructed response questions. A reference sheet with relevant formulas is included.
In this geometry worksheet students assess their knowledge of high school geometry. The twenty-eight page worksheet contains a combination of thirty-eight multiple choice and constructed response questions. Answers are provided.
The University of New York Regents High School Exam for geometry from June 2009 is comprehensive in scope with 38 questions over 22 pages. A reference sheet with relevant formulas is included.
Students practice the high school Regents exam. In this high school regents exam lesson, students practice geometry sample problems from a past Regents exam. Students solve problems involving angle measures, side lengths, parallel and perpendicular lines, Pythagorean theorem, and other geometry topics.
TImath has put together a lesson which shows how to use a graphing calculator to manipulate a puppet and make transformations. A good visual as the class manipulates the vectors and sees what happens. They can observe what geometric part are preserved and which parts might change.
Tenth graders create a polygon and answer specific questions about their polygon. In this geometry lesson, 10th graders discover different properties about their polygon using a computer program. They measure the distance, segment and angles of their polygon.
Students create fractals using transformations in Microsoft Word. In this fractals lesson plan, students manipulate triangles to make new shapes.
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry activity. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a parabola, ellipse, and hyperbola.