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...
Mathed Up!
Enlargements
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
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...
Bozeman Science
Mechanisms that Increase Genetic Variation
Learn how genetic variation occurs within prokaryotes through transformation, transduction, and conjugation. The instructor then explains how sexual reproduction in eukaryotes can lead to crossing over, random assortment, and random...
Brightstorm
Transformations and Isometries
Give your class a solid foundational understanding of transformations. The instructor in a concept video describes each type of transformation and transformation notation. He also identifies the types of transformations that...
Brightstorm
Dilations of Quadratic Graphs - Concept
Help learners recognize the characteristics of a quadratic graph and how changes affect them. An informative video uses a graphing calculator in order to find out what happens when the leading coefficient of a quadratic...
Calculus Expert
Using Transformations to Sketch a Graph
Watch as a function becomes transformed one step at a time. The instructor begins with a parent function and analyzes the transformations applied to it. She methodically applies each one with a new graph until reaching the complete...
Calculus Expert
Describing Transformations Algebraically
Working with functions is transformational! An illustrative video explains the basics of the six algebraic transformations. The instructor uses function notation and provides an example of each.
Northeast Arkansas Education Cooperative
Function Families: Translations and Reflections
This comprehensive introduction to rigid transformation of functions does a fabulous job of breaking down translations and reflections into manageable concept chunks. Care is taken with horizontal translations, vertical translations,...
TED-Ed
Pixar: The Math Behind the Movies
When will we ever use this? A Pixar movie maker explains to students how math is used in the creation of animated films. The movie maker discusses the importance of coordinate planes, transformations and translations, and...
Curated OER
What is a Transformation?
A transformation is the process of changing the graph of a figure or a shape. The instructor introduces the four most common transformations: reflection, dilation, rotation, and translation. So watch as she draws the transformations on a...