How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...

Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...

Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 

Use the coordinate plane to show two figures are similar. The lesson plan incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation...

The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...

Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...

Corresponding parts, congruent parts, congruent corresponding parts—what does it all mean? The resource challenges pupils to identify corresponding parts for pairs of figures. It uses examples of figures that undergo rigid...

Students practice moving different shaped objects through a series of transformations. In groups, they discuss other ways to manipulate the figure to achieve the same results. They solve multiple story problems in the same manner.

In what ways can you transform a graph? An engaging video answers this question as it covers reflections, translations, and stretches of graphs. To test their knowledge, individuals complete a set of problems to apply this knowledge.

No suspension here, the resource is good to go. Using graphing calculators, scholars explore how transformations affect the graphs of quadratic functions. They consider how the changes relate to the context of suspension bridges.

You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.

Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate...

The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...

Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.

Learners investigate trigonometric function.  In this Algebra II instructional activity, students explore functional notation and transformational graphing of trigonometric functions. 

Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....

While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...

Take a look at a star resource. Young mathematicians use a graphing calculator to draw intersecting lines that look like a star. They then apply translations to move the entire star and also consider what transformations must occur to...

Tracing paper is not just for art anymore — pupils can use it to find reflected images, too! Two videos show how to reflect images using tracing paper and find the reflection between the pre-image and image. Learners perform reflections...

Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...

A page right out of the Holt Geometry book. Use a graphing calculator and graph paper to explore transformations with matrices.  

Demonstrate and discuss the three types of transformations: rotation, reflection, and translation. Participate in a game which helps to reinforce and practice what they learned. Groups work collaboratively to complete the game.

Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...