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...

Looking for a different approach to triangle congruence criteria? Employ transformations to determine congruent triangles. Learners list the transformations required to map one triangle to the next. They learn to identify congruence...

If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...

Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...

Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...

In this transformations worksheet, students identify the coordinates of triangle MNO after completing three translations and one reflection. Students use the triangle MNO with given coordinates to complete each transformation on the same...

Bring about the change you want to see in the world  or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to...

Learners explore the concept of ordered pairs. In this ordered pairs instructional activity, pupils list the ordered pairs of a graph in the shape of a fish. They use their calculator to translate the fish using lists, then translate the...

In this matrix worksheet, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.

For this recognizing reflection, translation, and rotation of figures worksheet, learners observe figures on grid paper, and read and follow directions to reflect, translate, and rotate them. Students solve 3 problems.

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

In this math worksheet, they investigate the polar graph of: r = a + b sin (t), for various values of a and b. This is called a limacon and is applied to the definition of a transformation.

In this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...

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...

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...

In this transformations worksheet, 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.

In this geometric transformations learning exercise, 4th graders choose how three shapes have been transformed, either reflected, rotated or translated.

In this identifying transformations worksheet, 3rd graders look at three figures and choose reflected, rotated or translated to indicate how it has been transformed.

In this transformation of alphabet letters learning exercise, students choose whether three alphabet letters have been reflected, rotated or translated.

For this geometry worksheet, students transform a coordinate based on a reflection, translation, or dilation in order to obtain the image. There are 12 questions.

Learners dilate functions using transformation. For this algebra lesson, students complete vertical dilation, stretch and shrink. They perform reflection across the x and y axis.

Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...