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Transformations Teacher Resources
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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.
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.
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.
In this transformations learning exercise, 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.
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.
Help your middle and high schoolers explore geometric terminology. In this geometry lesson plan, 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.
Geometric transformations are explored by high schoolers. They will create a set of instructions for plotting coordinates representing an original transformation of a real-world figure. These instructions are shared with middle schoolers, who reproduce the transformation by plotting the given points, then hypothesizing the name of the figure that was transformed. The project is discussed collaboratively through the use of video conferencing.
Sixth graders focus on the use of geometry when creating art. They begin to see the array of geometric concepts in works of art and architecture. Learners engage in visual art and architecture activities in order to further their understanding of the connection between geometry and art. This two-week series of lessons would be worthwhile to use with your class.
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.
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.
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.