Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...

Right you are to use a great resource. Starting with a lesson on dilations, scholars learn about similarity transformations and similar triangles. They use the knowledge to develop an understanding of right triangle trigonometry in later...

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

Transform the classroom into a coordinate plane. Scholars walk along parallel lines drawn on a coordinate plane on the classroom floor. They measure angles and slopes and use the results to develop criteria that would make the lines...

Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...

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

Third graders explore tessellations and the spatial concepts used in creating them.  For this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations.  Students become familiar with the...

Sixth graders complete several activities that involve coordinates and graph paper. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders draw and label a coordinate...

In this angles and figures review worksheet, 10th graders solve and complete 39 different multiple choice problems. First, they find the length of a line between two given points. Then, students name the type of transformation and the...

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

Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.

Students explore tessellations. For this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Students create examples of tessellations using pattern blocks.

Young scientists transform themselves into rivers, oceans, clouds, and drops of water in order to explore the water cycle. After assigning and explaining to students their different roles in the activity, the teacher reads aloud a...

Fourth graders design their own letter graph, and then produce the resulting graphs after a translation, reflection, and rotation. After a review of vocabulary, 4th graders create their graphs using crayons.

Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...

In this transformation worksheet, learners identify and solve 10 different problems that include various images. First, they determine whether each object illustrated is a mirror image or reflection of the other image in the problem....

Students use an online dictionaries to define key geometric terms. They explore several websites to help them differentiate the terms reflections, translations and rotations as they apply to geometry and then complete an assessment...

Second graders manipulate triangles to discover the concepts of slides, flips and turns of a geometric shape.

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

Students graph coordinate points to create a picture of Snoopy. In this coordinate point lesson, students read a book and learn about Rene Descartes' invention, the coordinate grid.  Students graph a surprise picture on...

The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...

Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...