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Dilation Teacher Resources
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In this transformations worksheet, 10th graders solve and complete 10 various types of problems. First, they draw the graph of a parabola for all values of x in the interval. Then, students graph and state the coordinates of a triangle. They also write an equation for a given image under the composition of translations.
Students investigate the concept of transformations and how they are used in various types of problems and define the terms of rotation, reflection, translation, and dilation. They practice using the GSP technology to apply practices to display the images in two or three dimensional space.
Several practice exercises suitable for any geometry class working on transformation, symmetry, and tessellation -- especially visual representations of image translation, rotation, and reflection, symmetry, tessellations and tangrams -- can be drawn from this resource. Much of it works with the computer component of Neufeld Learning System's math program, but three center pages could be well used anywhere.
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.
High schoolers determine the scale factor of a polygon given an image and pre-image. In this scale factor of a polygon given an image and pre-image instructional activity, students dilate polygons and measure the perimeter and area of the image and pre-image. High schoolers determine the ratios of the two figures and compare it with the scale factor.
High schoolers explore the concept of scale factors. In this scale factors lesson, students dilate polygons and determine the ratio of the perimeters and areas of an image and pre-image. High schoolers use Ti-Nspires to graph triangles, measure angles, and determine the ratios of images and pre-images.