EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
Massachusetts Department of Education
Similarity through Transformations
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists between two...
Mathed Up!
Enlargements
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
EngageNY
What Lies Behind “Same Shape”?
Develop a more precise definition of similar. The lesson begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to arrive at a mathematical...
Curated OER
Unit 14 - Loci and Transformations
In this transformations worksheet, students solve 25 short answer problems. Students dilate, reflect, and translate points and figures in the coordinate plane. Students determine scale factors and lines of symmetry of figures.
NTTI
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...
Curated OER
Transformations: Dilating Functions
Students dilate functions using transformation. In this algebra lesson, students complete vertical dilation, stretch and shrink. They perform reflection across the x and y axis.
Virginia Department of Education
Dilation
Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.
Curated OER
Geometric Transformations
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.
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Curated OER
Transformations Using Matrices
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...
Curated OER
Transformations, Tessellations, and Technology
Young scholars complete a unit about transformations and tessellations. They explore various tessellation websites, determine which shapes tessellate, complete a log about which website activities they complete, and create a...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Curated OER
Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation
Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
Curated OER
Reflections over Two Lines & Dilations
Students create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...
Curated OER
Introduction to Unit V-Transformations
Students investigate transformations. In this Algebra I/Geometry lesson, students explore reflections, translations, rotations and dilations. The lesson includes examples of transformations in art, architecture, and nature.
Curated OER
Transformations and Translations
In this transformations/translation instructional activity, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.
Curated OER
Transformations Homework
In this geometry worksheet, students transform a coordinate based on a reflection, translation, or dilation in order to obtain the image. There are 12 questions.
Corbett Maths
Enlargements with Negative Scale Factor
How will a scale factor affect a figure—negatively? Using a grid, the narrator of an engaging video performs a dilation with a negative scale factor. The presenter compares a positive scale factor with a negative scale factor to explain...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target G
Transform the thinking of transformations with six sample items that illustrate the first four standards in the eighth grade geometry domain. Items use the coordinate plane to transform figures and analyze the relationship of the figures...
Corbett Maths
Finding the Centre of Enlargement
Where did the transformation begin? Using a ruler, the narrator of a short presentation shows how to find the center of enlargement for transformed figures. Worksheets provide the class members an opportunity to practice the newly...
Corbett Maths
Describing Enlargements
What caused that to happen? Using three aspects, a video demonstrates how to describe an enlargement or dilation. The presenter counts the lengths of the sides to determine the scale factor and a ruler to find the center of dilation.