Transformations Teacher Resources
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Transform Your Geometry into a Work of Art
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.
Transformational Geometry Using the Geometer's Sketchpad
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.
Transformational Art Using Furniture - Activity
Young scholars 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.
Students 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.
Transformations with Lists
Transform your class as they explore the concept of transformations. Learners practice changing figures by reflection and rotation. They enter the coordinates into lists and transform the lists.
Middle schoolers construct a three-dimensional model of a city using both similar and congruent figures and geometric transformations. City must have at least ten buildings with each building labeled and may be constructed out of paper or modeling clay. A two-dimensional representation, drawn to scale, must be included as well.
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Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties through an easy-to-use interface.
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.
Learners listen to "The Quiltmaker's Gift," and connect it to geometry. They examine tiling, architecture, and carpeting displaying tessellation art. They take photos of tessellations found in their environments and Powerpoint presentations.
In this transformations instructional activity, 10th graders solve and complete 27 various types of problems that include similar figures and justifying answers. First, they dilate the shape shown using a zoom factor from the origin. Then, students solve for the unknown variable in each similar figure. They also find the perimeter and area of the shaded region of the figure.
Turn your geometry learners into landscape architects with a lesson on transformed figures. Using a map of your school, flower beds need to designed which adhere to specific geometric requirements including reflections and rotations. Let your pupils show their creativity and mathematical savvy.
ABC Geometry Book
Help your middle and high schoolers explore geometric terminology. In this geometry lesson, learners use the entire year to create an ABC Geometry book. Students use a list of terms learned in class to create a page for each letter. Students use a rubric to guide their process.
Experiment with Transformations
Rotate it, reflect it, and slide it! This lesson plan gives your geometers an opportunity to explore transformations in the coordinate plane. Working in small groups, learners travel to four stations with a figure you have assigned them to draw. Each station presents a set of instructions to perform specific transformations and translations on their figure. One station uses patty paper to perform the transformations, one uses graph paper, another uses MIRA boards or transparencies, and the last uses geometry software such as Geometer's Sketchpad or Geogebra. If geometry software isn't available, you can modify the lesson plan to include only three stations. After completing all stations, students discuss their results and reflect on their findings.
Geometry Level 3
What a wonderful resource! Learners create two-dimensional shapes according to the instructions stated, use the squares to make a triangular prism, a cube, and a pyramid, and identify features of plane shapes, among a myriad of other activities.
Tantalizing Tessellations Lesson IV-Creating a Rotational Transformation
Students use what they have learned to explain and apply their knowledge of tessellations in order to create a rotational transformation.
Tantalizing Tessellations Lesson V-Creating a Glide Reflection Transformation
Young scholars apply what they have learned in previous Tantalizing Tessellations lessons in order to create a glide reflection transformation. They analyze the tessellations of others and determine the shape of the original polygon.
Translations and Reflections of Triangles: Transformation Dances
Students explore transformations in dance. In this cross curriculum geometry and dance lesson, students define and identify angles, reflections, and translations, then practice dance movements using a stretchy band that represent these geometric transformations. Detailed descriptions and examples are given.
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson plan. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a parabola, ellipse, and hyperbola.
Tenth graders explore transformations. In this geometry lesson plan, 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.
Transformations and Tessellations
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.