Dilation Teacher Resources
Find Dilation educational ideas and activities
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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.
Dilations in the Plane
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. High schoolers extend the concept of dilatation to the coordinate plane.
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.
Matrix Transformations, Lab Activity
For this geometrical transformations worksheet, pupils use their graphing calculator to translate a rectangle. They track the list values and anticipate the next movements.
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.
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.
Coordinate Plane Transformations
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.
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.
Transformations Using Matrices
In this transformations activity, 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.
Dilation and Area
Learners investigate dilations. In this geometry lesson, 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.
Dilations- What a Stretch!
High schoolers perform dilation on various geometric shapes. They also discuss pros and cons of dilation and employ the Frayer Model to study the vocabulary words in this section.
Transformations in the Coordinate Plane
Young mathematicians explore the concept of transformations by constructing a polygon on their calculator using lists. They transform the polygon using lists and reflect, rotate, translate, and dilate polygons.
Knowing My Transformations
Sixth graders study transformations of geometric figures and discover how they are affected by as they examine size and position changes.
Dilations in the Plane
In this geometry instructional activity, 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.
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.
Exploring Quadratic Data Using Translation and Dilation
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.
Footprint in the Sand: Transformation
Learners complete transformation using patterns. In this geometry lesson, students create tessellations using different patterns as they study transformation.
Transformations With Lists
Students explore the concept of transformations. For this transformations lesson, students enter data into lists and make a scatter plot of points. Students use lists to transform the data points by shifting the points, left and right, or up and down. Students also enlarge and shrink the data points.