Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...

Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...

Students reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric patterns...

It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.

In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...

Seventh graders visualize and identify geometric shapes after applying transformations on a coordinate plane. In this tangrams lesson, 7th graders construct a set of tangrams and then answer extension questions related to measurement,...

Fifth graders, using graphic and word processing software, create geometric patterns by performing elementary transformations.

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...

Tenth graders construct geometric figures using compasses and protractors.

Students create a matrix of the vertices of a triangle and produce new matrices that dilate, translate, rotate, and reflect the original triangle. After multiplying each matrix by a new scale factor, they graph the new matrix and...

What do your pupils know about quilting? Read and discuss the information included here before sending class members off to create their own quilt blocks using construction paper. When they have completed their blocks, provide some time...

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

Young scholars use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.

Sstudents explore and analyze the properties of geometric areas.  In this geometry instructional activity, sstudents use technology to simulate spinners and dartboards in order to fing areas of circles and sectors of circles and...

In this effect of transformations on coordinates worksheet, students determine the coordinates of 4 geometric shapes on a grid after a given transformation.

Young scholars create an image using given coordinates and evaluate how the coordinates change when a slide or rotation takes place.

"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

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.

Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...

Learners use interactive geometry exploration software (GES) to create a two-point perspective drawing. They explore basic geometry concepts in and geometric transformations of the model of a rectangular prism viewed from different...

What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...

High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...

Third graders construct tangrams. In this tangrams lesson, 3rd graders manipulate basic shapes to construct tangrams. Students explore how shapes can be combined in different ways and develop spatial sense.