What do you get when you cross piecewise functions with transformations?  An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...

Build a definition of congruence from an understanding of rigid transformations. The instructional activity asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons...

Third graders are introduced to different types of transformations. As a class, they describe how a stuffed animal slides across the floor and use themselves to demonstrate as well. Individually, they flip and turn in different...

Young scholars examine transformations. In this math lesson, students view and describe flips, slides, and turns. Young scholars practice making transformations with shapes.

Eighth graders use a stencil to make a figure with which they discover the horizontal line of reflection, the vertical line of reflection, and the diagaonal line of reflection using coordinates.

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.

In this transformations instructional activity, 10th graders identify and complete 10 different problems that include various types of transformations. First, they label each figure with the correct term listed on the top. Students also...

Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.

Dive into an activity that may cause a little reflection! Building from the first lesson in the series of two, learners explore transformation using unfamiliar functions. The key takeaway is that applying transformations to any function...

Students perform translations and reflections. In this algebra lesson, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.

In this reflection of a line worksheet, 10th graders identify 10 different reflections of lines as stated in each. First, they determine the image of a point under a reflection across the x-axis. Then, students find x, y, and z of a...

In this transformations instructional activity, students solve 5 multi-part short answer problems. Students transform images by reflecting them over a line or a point.  Students find the line and/or point symmetry of various figures.

Students compare/contrast paintings with similar subjects and themes. They discuss how a painting may relate to life experiences. Students draw animal families and compose a story about a painting by Gerome. They discuss zoos and...

Students explore the concept of transformations. In this transformations lesson, students use Geometer's Sketchpad to construct cyclic and dihedral figures. Students study reflection and rotation symmetry. Students discuss vertical,...

Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.

Students use video and the Internet to identify examples of bilateral and radial symmetry in the world around them. They create symmetrical reflection designs using pattern blocks and paper.

In this figures and graphs review worksheet, 10th graders solve and complete 23 various types of problems that include identifying various figures and graphs. First, they name the transformation that maps the unshaded figure or preimage...

Students identify polygons and develop spatial and fractional relationships and geometric concepts by using ancient Chinese puzzle of tangrams. They develop an appreciation of the folktale by identifying its elements and then writing...

In this reflection worksheet, students reflect the shapes in the mirror lines and draw them on the other side. They complete 2 drawings. The answers are on the last page.

Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.

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...

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...

Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.

Use this transformations learning exercise to have learners describe given transformations. They identify rotations, reflections, and congruent images. This two-page learning exercise contains three multi-step problems.