In the 16th lesson plan in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson plan breaks the process of reflecting...

Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...

Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...

The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....

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

Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...

Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...

Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they...

Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson plan 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...

Your geometry learners are guided by questions that help them use the language of reflections to explain the Side-Angle-Side congruence between two triangles in this collaborative task. Given a sample solution, declaring the...

Middle and high schoolers explore the concept of slope. In this slope lesson, learners graph lines using a life-size graph. They use chalk on a blacktop to create a coordinate plane and use each other as the tick marks on the grid....

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute...

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

The lesson allows young scientists to use lasers and mirrors to study reflected light. A reading passage and homework question assess learning, while additional material introduces extension activities. 

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...

Understanding how functions transform is a key concept in mathematics. This introductory lesson plan makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of...

Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.