Corbett Maths
Describing Reflections
Don't flip out over the resource, but be sure to flip the figures. By watching a short YouTube video, scholars learn about reflections in the coordinate plane. They see how to identify the line of reflection given two figures.
MinutePhysics
Length Contraction and Time Dilation — Special Relativity Chapter 5
Special relativity provides rules for making time both shorter and longer simultaneously—and does the same for distances. This concept seems confusing, but with help from a spacetime globe and mathematical explanation, the concepts...
MinutePhysics
Lorentz Transformations — Special Relativity Chapter 3
Generally, Lorentz transformations require high level math skills, but conceptual understanding can slip just beyond the grasp of many. Using a story and graph about the time and motion of people and cats, viewers of a short video can...
Corbett Maths
Congruent and Similar Shapes
By definition, a congruent shape remains similar, but similar shapes may or may not be congruent. Scholars watch a video explaining the sometimes-confusing concept. Practice problems ensure pupils demonstrate their understanding to...
CK-12 Foundation
Composing Transformations: Lesson
Double the transformations, double the fun! Using the knowledge of transformations, the video combines two transformations of figures on the coordinate plane. The segment of a geometry playlist, finds a single transformation that will...
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...
CK-12 Foundation
Dilation: Lesson
Dilation—more than just an eye opener! A short video introduces the concept of dilating a figure given a center and a scale factor. Using prime notation, the installment of a larger geometry playlist shows how to label dilated images.
CK-12 Foundation
Dilation in the Coordinate Plane: Lesson
Multiply coordinates to either shrink or enlarge a figure. An informative segment of a geometry playlist introduces dilation on the coordinate plane. The dilations in the resource use the origin as the center of dilation, which makes...
TED-Ed
The Mathematics of Sidewalk Illusions
How do they create those 3-D views on a 2-D surface? The video presents the history of the art of using anamorphic perspective. A review of perspective drawing provides background knowledge to the class. Pupils see different methods...
FuseSchool
Transformations of Graphs: Translations
Explore translations of functions on both the graph and equation. Using a quadratic function, a video lesson shows how adding and subtracting values results in either a vertical or horizontal translation. The lesson compares and...
3Blue1Brown
Abstract Vector Spaces | Essence of Linear Algebra, Chapter 11
Take the principles of vectors and apply them to other things that act like vectors. The last video in the series of 15 introduces the more abstract aspects of linear algebra, making the connection back to the vector concepts discussed...
3Blue1Brown
Change of Basis | Essence of Linear Algebra, Chapter 9
It is all about perspective. A video introduces the idea that the view of a vector all depends upon the perspective of the basis vectors. Knowing how to go from one coordinate system's basis vectors to another system's basis vectors...
3Blue1Brown
Cross Products in the Light of Linear Transformations | Essence of Linear Algebra Chapter 8 Part 2
What do cross products and parallelpipeds have in common? The video discusses the geometric representation of the cross product. The geometric interpretation explains why the computational trick in calculating the cross product works.
3Blue1Brown
Cross Products | Essence of Linear Algebra, Chapter 8
Equate the area of a parallelogram with the magnitude. The 11th installment in a 15-video series introduces the concept of the cross product of two vectors. The presentation makes the geometric connection between the cross product, the...
3Blue1Brown
Dot Products and Duality | Essence of Linear Algebra, Chapter 7
The dot product of two matrices is a number on the number line, its transformation. The resource presents the dot product as a linear transformation from two dimensions to one dimension. The video uses the numerical and graphical...
3Blue1Brown
Nonsquare Matrices as Transformations Between Dimensions | Essence of Linear Algebra, Footnote
But what happens if the matrix is not square? The ninth video in a series of 15 serves as a footnote to discuss non-square matrices. The resource presents them as transformations between two and three dimensions. The presentation...
3Blue1Brown
The Determinant | Essence of Linear Algebra, Chapter 5
Determine how much a linear transformation alters area. The seventh segment in a series of 15 makes the connection between the determinant and the scale factor of areas during a linear transformation. The video goes on to explain the...
3Blue1Brown
Three-dimensional Linear Transformations | Essence of Linear Algebra, Footnote
Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...
3Blue1Brown
Matrix Multiplication as Composition | Essence of Linear Algebra, Chapter 4
Take a different view at matrix multiplication. Based on vector transformations, the video presents matrix multiplication as the result of the composition of multiple linear transformations. The presentation explains the numerical...
3Blue1Brown
Linear Transformations and Matrices | Essence of Linear Algebra, Chapter 3
Are all transformations of the plane linear transformations? The video provides examples of transformations of the plane and provides the definition of linear transformations. The resource begins the discussion of using matrix...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
Mathed Up!
Translations
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils...