Students explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.

In this rigid transformation worksheet, learners follow directions to translate, reflect or rotate a figure in a coordinate plane. Examples and explanations are provided at the beginning of the document. This two-page worksheet contains...

Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...

In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...

Transform your lesson for transforming functions. Scholars transform linear, quadratic, exponential, rational, and trigonometric expressions. They write their expressions to fit specific forms and identify the values of the resulting...

Learners solve linear equations. By observing the graph of each side of an equation using the TI-nspire graphing calculator, your class gains insight into solutions, as well as balancing equations and transforming linear equations....

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...

Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....

Change the way you teach about rewriting expressions. A diagnostic task asks learners to transform expressions in different ways. Given two linear expressions and two quadratic expressions, they rewrite them into the indicated forms.

Solving for x is a classic algebra scenario. Now, solve for x when the other terms in the equation are variables. Isolate the correct variable and practice writing the equation first before solving. 

Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...

Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...

Ancient texts, like Homer's Odyssey, mentions navigating ships by observing constellations. Pupils learn about the link between history and astronomy as they relate to navigation in the Bronze Age. Scholars complete two hands-on...

Using geoboards, computer programs, and hands-on manipulative materials, elementary schoolers engage in a study of two and three-dimensional geometric shapes. This lesson is chock full of good teaching ideas on the subject, and the...

Video game characters move straight with matrices. The first day of a two-day instructional activity introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine...

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...

Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive....

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...

The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...

Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...

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...

The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.

Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both...

Learn similarity through a transformations lens! Individuals examine the effects of transformations and analyze the properties of similarity, and conclude that any image that can be created through transformations is similar. The...