Curated OER
Escher-Esque Tessellations
Middle and high schoolers participate in a seven-part lesson creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research, and...
Curated OER
Dilations in the Plane
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Students extend the concept of dilatation to the coordinate plane.
Curated OER
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry activity. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
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...
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
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...
Curated OER
Tiling Tessellations
Learners explore tessellations. In this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Learners create examples of tessellations using pattern blocks.
EngageNY
Transformations—The Next Level
Transform your geometry instruction by incorporating role play into math class. Pupils begin by completing an assessment to locate unknown angles, and then performing a simulation activity to better understand rotations, reflections, and...
Curated OER
Tantalizing Tangrams: What Are Transformations?
Students use the Internet to learn about transformations and tessellations. In this geometry lesson, students use the Internet to define the meaning of reflections, translations, rotations, glide reflection and symmetry. Students...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
EngageNY
Similarity
Learn similarity through a transformations lens! Individuals examine the effects of transformations and analyze the properties of similarity, and conclude that any image that can be created through transformations is similar. The...
EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
EngageNY
Dilations from Different Centers
Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both and...
Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Curated OER
Exploring Quadratic Data : Transformation Graphing
High schoolers 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...
Curated OER
Transformations
Young scholars explore the concept of transformations. In this transformations lesson, students use Geometer's Sketchpad to construct cyclic and dihedral figures. Young scholars study reflection and rotation symmetry. Students discuss...
Curated OER
Transformations, Tessellations, and Technology
Middle schoolers 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...
Curated OER
Transformations: Translations
High schoolers perform transformations and translations using polygons. In this geometry lesson, students perform transformations on a coordinate plane. They identify the image and pre-image of each figure.
Curated OER
Transformations and Rotations
Students define and identify transformation and rotation. In this geometry lesson, students define rotations as congruence or isometry. They find the coordinates of an image and pre-image.
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
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...
Curated OER
Introduction to Unit V-Transformations
Pupils 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
Students draw on graph paper. In this geometry instructional activity, students review types of triangles and quadrilaterals. Students investigate geometric transformations, including translation, rotation and reflection. Students...