Flipped Math
Unit 11 Review: Circles
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
Flipped Math
Unit 8 Review: Transformations
Transform the review process in the class. Learners review the three types of transformations from the unit: translations, reflections, and rotations. Scholars work on a few quick problems to review the key points of each transformation....
Flipped Math
Rotations
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...
Flipped Math
Transformations
Transformations come in many forms. To start the informative resource, pupils first review the different types of transformations. Scholars work in more detail with translations by drawing the transformations and writing the algebraic...
Flipped Math
Reflections
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...
Corbett Maths
Finding the Mirror Line
Where does the reflection come from? The vivdeo starts with a quick review of the form of the equation of horizontal and vertical lines and diagonals passing through the origin. Using a pre-image and an image of a reflected figure, the...
Corbett Maths
Transformations: Translations
Slide into vector transformations. Column vectors define the translation of figures by defining the number of units to move horizontally and vertically on the coordinate graph. Pupils develop an understanding of how to read the...
Corbett Maths
Rotations
Develop the basics of turns. A helpful video discusses the information required to perform a rotation. Afterward, the narrator shows pupils how to perform a rotation by using a piece of tracing paper to determine where the image will be...
CK-12 Foundation
Transformation - Rotation: Lesson
Change places by pivoting the figure. The section of a geometry playlist introduces rotations by making the connection to rotational symmetry. The presentation provides formulas to use with the coordinates when rotating a figure around...
CK-12 Foundation
Transformation - Reflection: Lesson
Looking into a mirror is not the same on a coordinate plane. A portion of an extensive playlist on basic geometry provides the rules to find the coordinates of points after a reflection over one of the axis. Using the rules, the video...
CK-12 Foundation
Transformation - Translation: Lesson
Develop a prime example of sliding about the coordinate plane. Using figures on the coordinate plane, a segment of an extensive geometry playlist introduces the transformation of translations. The presentation uses coordinate notation to...
Mathed Up!
Reflections
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...
Mathed Up!
Rotation
Two videos show first how to perform a rotation, given the center, the angle, and the direction of rotations. Individuals then see how to find what the rotation is from one figure to another. Pupils practice doing both in seven problems...
Corbett Maths
Reflections
Reflect on your knowledge of reflections. Pupils watch a YouTube video to learn how to perform reflections of two-dimensional figures over a line. The resource includes examples with a reflection over a vertical line and over a diagonal...
Khan Academy
Khan Academy: Linear Algebra: Linear Transformation Examples: Rotations in R2
Video first shows visually that a rotation is a linear transformation. Shows how to construct a transformation matrix that will rotate a vector through a given angle. Shows both the general rotation matrix and an example of a rotation...
Khan Academy
Khan Academy: Linear Algebra: Image of a Subset Under a Transformation
Video shows an example of the image of a subset of a domain under a linear transformation. Example includes defining a triangle using vectors. [18:11]
Khan Academy
Khan Academy: Linear Algebra: Preimage of a Set
Video first reviews what the image under a transformation is and then introduces the concept of preimage. [5:23]
Virtual Nerd
Virtual Nerd: What Is a Transformation?
Transformations allow you to change or move a figure. Learn about all the different kinds of transformations by watching this tutorial. [4:18]
Khan Academy
Khan Academy: Determining Whether a Transformation Is Onto
Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the co-domain.
Sophia Learning
Sophia: Practice With Rotations
Explore how to rotate a geometric object across a coordinate plane with this video lesson. [10:37] Assess learning with a quiz.
Khan Academy
Khan Academy: Linear Transformation Examples: Rotation in R3 Around the X Axis
Construction a rotation transformation in R3 around the x-axis.
Khan Academy
Khan Academy: Linear Transformation Examples: Scaling and Reflections
Creating scaling and reflection transformation matrices (which are diagonal).
Khan Academy
Khan Academy: 2. Geometry of Rotation
Next lets build a diagram that break rotation into smaller parts. The next exercise will give us a chance to build our understanding of this diagram. Click here to learn about rotation using linear transformations
Khan Academy
Khan Academy: Rotating Shapes: Center Not Equal (0,0)
Sal is given a triangle on the coordinate plane and the definition of a rotation about an arbitrary point, and he manually draws the image of that rotation.