EngageNY
Which Real Number Functions Define a Linear Transformation?
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
Institute of Electrical and Electronics Engineers
Basic Electric Transformers
Life as we know it would not be possible without electric transformers, so there are fewer more pertinent topics for your eager young engineers. An astounding amount of background information is provided to help you develop a lecture on...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
EngageNY
What Are Similarity Transformations, and Why Do We Need Them?
It's time for your young artists to shine! Learners examine images to determine possible similarity transformations. They then provide a sequence of transformations that map one image to the next, or give an explanation why it is not...
Curated OER
Transforming Energy
Super detailed, this lesson will educate physical science learners about the flow of electrons. Begin by reviewing potential and kinetic energy with a moving pendulum, and then get them online to observe interactive websites about...
Curated OER
CELL TRANSFORMATION IN TOBACCO LEAF DISKS
Young scholars work with whole plant material and are not required to measure small quantities, yet they can see evidence of transformed plant cells (plant cells that have genes from bacterial plasmids). This is a laboratory suitable for...
Curated OER
Bacterial Transformation: Laboratory Experiment
Students participate in a group lab in which they complete the process of bacterial transformation. If lab procedures are followed correctly, Students see their results in a few days...bacteria glowing green.
EngageNY
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
EngageNY
Dilations as Transformations of the Plane
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...
Curated OER
Transformations and Matrices
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas instructional activity, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds...
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
NTTI
Transform Your Geometry into a Work of Art
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...
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
EngageNY
Basic Properties of Similarity
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. It...
Curated OER
Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
Curated OER
The Transfer of Energy 1: Thermochemistry
Budding chemists achieve a basic understanding of the role of heat in chemical reactions. An online worksheet gives learners instructions and questions to answer as they investigate the Chem4Kids website and perform a hands-on lab...
Curated OER
Transformation
Students discover visual arts by participating in a sculpting activity. In this artistic expression lesson, students examine some of the more famous sculptures in world history by utilizing the Internet. Students utilize clay, paper...
Curated OER
Geogebra Basics
Students identify basic geometric shapes using Geogebra. For this geometry lesson, students work on a laptop as they explore different geometric shapes. They calculate the area and perimeter of triangles.
EngageNY
Definition of Rotation and Basic Properties
Examine the process of rotating images to visualize effects of changes to them. The fifth lesson of 18 prompts pupils to rotate different images to various degrees of rotation. It pays special attention to rotations in multiples of 90...
Curated OER
"Self-Portrait with a Cartoon"
Here is a really fun way to integrate self-portraits, cartooning, and basic computer skills. The class learns to use Photoshop to manipulate a hand-drawn, cartoon, or photographic image of themselves onto a separate background. They...
EngageNY
Definition of Reflection and Basic Properties
Discover the results of reflecting an image. Learners use transparency paper to manipulate an image using a reflection in this fourth lesson of 18. They finish by reflecting various images across both vertical and horizontal lines.
Curated OER
Transformations
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...