Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...

In this transformations activity, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.

Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

In this transformations/translation activity, learners draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.

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...

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.

How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...

First graders develop problem-solving skills by designing methods for keeping lunch boxes cool. Once they determine the amount of sunlight and heat generated in shaded and unshaded areas, they explore ways to provide shade. Finally, 1st...

A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...

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

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...

Students construct tesselations that fosters their ability to create, transform, and critique their own piece of work. This allows them to become aware of repeated patterns in math, and connect these patterns to artwork.

Learners explore the concept of transformations. In this transformations instructional activity, students construct an equilateral triangle and a square with a circumscribed circle. Learners reflect and rotate their constructions.

In this inverse matrix learning exercise, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page learning exercise contains explanations, examples and two...

Even magicians can't make energy disappear. In a discussion-based lesson, young scientists learn about energy forms and conversions. They see how energy is neither created nor destroyed; it just changes forms. This is the 11th...

Fourth graders explore how engineers transform wind energy into electrical energy by building their own miniature wind turbines and measuring the electrical current it produces. They see how design and position affect the electrical...

Learners use a battery, wires, small light bulb and a light bulb holder to learn the difference between an open circuit and a closed circuit, and understand that electric current only occurs in a closed circuit. They describe the...

Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...

Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...

In this congruency activity, 5th graders complete 4 questions about congruent figures and transformations. Page has links to additional activities.

Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...

Students harvest and thresh the seeds. They count the seeds and compare that number with the original number of seeds planted (8) to determine their profit or loss. Finally, students think about additional questions they have about...

Pupils identify the location of coordinate pairs of an image. In this geometry lesson, students perform transformation and identify the image and pre-image point of location. They apply the concept of fractals to complete...