Dilation Teacher Resources
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Working in pairs, geometry students will construct a dilation and consider the properties associated with the similar figures that are created to verify the properties of dilation. This activity can be done using dot or graph paper and rulers, compasses, and protractors, geoboards, or dynamic geometry software. Extensions can be added by considering dilations affected by different scale factors, or by dilating other figures such as triangles or parallelograms.
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.
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Young scholars extend the concept of dilatation to the coordinate plane.
In this transformations worksheet, 10th graders solve and complete 16 different types of problems. First, they graph the image of the figure using the transformation given. Then, students find the coordinates of the vertices of each figure after the given transformation.
Learners investigate dilations. In this geometry instructional activity, students investigate the relationship between the area of a geometric shape and the dilation factor. The use of geometry software allows for conjecture and verification.
In this geometrical transformations worksheet, pupils use their graphing calculator to translate a rectangle. They track the list values and anticipate the next movements.
Learners examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation.
Tenth graders investigate dilations. In this geometry activity students explore dilations on a coordinate plane as they examine the coordinates of the preimage and the image.
Middle and high schoolers solve fifteen problems from six exercise sets covering transformations, reflections, rotations, and enlargements. The solutions are provided.
Creativity is endless when your mathematicians take a simple image and use transformations to create their own poster inspired by geometry. While certain rotations and reflections are required, learners will be able to create ten new images by flipping, moving, spinning, and zooming their original using Word. Your artists will create clues on how they came to the new image and see if other classmates can figure out which image belongs with that clue. A fun activity that practices transformation vocabulary and incorporates a computer-based assignment.
Here is a lesson that starts out with learners creating congruent figures by drawing the exact same polygon as their partner. From here, they have a discussion about why what they drew is an exact copy, followed by other activities that look at different shapes, some with transformations, to determine their congruence.
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.
Twelfth graders explore transforming matrices representing figures in the coordinate plane by entering data points of figures such as triangles and quadrilaterals into a matrix. Students dilate, rotate, reflect, and translate the figures by multiplying by translation matrices.
Tenth graders explore transformations. In this geometry lesson, 10th graders investigate translations, reflections, rotations, and dilatation's on a Cartesian coordinate plane. Step-by-step instructions are provided for the TI-84 Plus graphing calculator.
A transformation is the process of changing the graph of a figure or a shape. The instructor introduces the four most common transformations: reflection, dilation, rotation, and translation. So watch as she draws the transformations on a graph.
Sixth graders study transformations of geometric figures and discover how they are affected by as they examine size and position changes.
In this geometry lesson, students collect and analyze data as they investigate relationships between the pre-image and the image of a triangle. They investigate angle measures, side lengths, and the dilation factor. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding dilations.
For this dilations worksheet, high schoolers answer 11 questions that involve finding lengths given the scale factor, determining transformation size, finding the scale factor, and graphing dilations.
Mathematicians analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the general parabola. PDF downloads of the lab activity are included.
TIalgebra has put together a lesson on transforming polygons using matrices. Examples of isometric as well as successive transformations are explored. The class uses graphing calculators to see how transformations can occur in a few of the infinite number of ways.