Instructional Video
Khan Academy

Khan Academy: Introduction to Electrolysis

9th - 10th
This video compares a voltaic cell to an electrolytic cell. [6:51]
Instructional Video
Khan Academy

Khan Academy: Quantitative Electrolysis

9th - 10th
Calculate how much zinc deposits on the zinc electrode after 1.0 h when a current of 5.0 A is applied to the battery. [6:54]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: More on Linear Independence

9th - 10th
Video expands the examples of linearly independent and linearly dependent vectors shown in the previous video to give a formal definition of linearly dependent vectors. Shows a proof of the definition and then gives an example of using...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Null Space 3: Relation to Linear Independence

9th - 10th
Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...
Instructional Video
Khan Academy

Khan Academy: Algebra: Subtracting Polynomials With Multiple Variables

9th - 10th Standards
Demonstrates how to subtract polynomials when there are multiple variables in each polynomial. [2:10]
Instructional Video
Khan Academy

Khan Academy: Arithmetic and Pre Algebra: Speed Translation

9th - 10th Standards
This video explains how to convert between units of speed. Practice problems are available. [9:56]
Instructional Video
Khan Academy

Khan Academy: Algebra: Graphing Inequalities 2

9th - 10th Standards
This video demonstrates how to graph an inequality with two variables and check your graph by substituting ordered pairs back into the inequality. Practice problems available. [5:20]
Instructional Video
Khan Academy

Khan Academy: Biology: Diffusion and Osmosis

9th - 10th
A detailed explanation of the processes of diffusion and osmosis. [18:59]
Instructional Video
Khan Academy

Khan Academy: Geometry: Koch Snowflake Fractal

9th - 10th
Explanation of the Koch Snowflake and why it has an infinite perimeter but a finite area. [9:11]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Projection Is Closest Vector in Subspace

9th - 10th
A video lesson proving that the projection of a vector is actually the closest vector in the subspace to the original vector. [9:05]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Vector Triple Product Expansion (Very Optional)

9th - 10th
Video deriving the triple product expansion by expanding the cross product of 3 vectors and then simplifying it to the difference of dot products. [14:25]
Instructional Video
Khan Academy

Khan Academy: Algebra: Multiplying Polynomials 3

9th - 10th Standards
Video shows how to use polynomial multiplication to find the volume of a cylinder of given dimensions. The problem requires multiplying a binomial and a trinomial. [4:19]
Instructional Video
Khan Academy

Khan Academy: Chemistry: Titration Roundup

9th - 10th
An explanation of how pH changes during various acid-base titrations. [11:02]
Instructional Video
Khan Academy

Khan Academy: Differential Equations: Inverse Laplace Examples

9th - 10th
Video first reviews properties of the Laplace transform that were shown in previous videos as well as Laplace transform table values that have been shown in previous videos. Then uses the properties and inverse Laplace transforms to find...
Instructional Video
Khan Academy

Khan Academy: Arithmetic and Pre Algebra: Inverse Property of Addition

9th - 10th
This video demonstrates the inverse property of addition. Practice problems are available. [2:59]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Transposes of Sums and Inverses

9th - 10th Standards
Video explaining two properties of transpose matrices: that the transpose of the sum of two matrices is equivalent to the sum of the transpose of each matrix and that the inverse of the transpose of a matrix is equivalent to the...
Instructional Video
Khan Academy

Khan Academy: Algebra: Rational Equations

9th - 10th Standards
A step-by-step breakdown to solve a rational equations and find the excluded values. [4:16]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Compositions of Linear Transformations 2

9th - 10th Standards
Video shows that the transformation matrix of the composition of linear functions is the product of the transformation matrices of each linear transformation in the composition. [16:30]
Instructional Video
Khan Academy

Khan Academy: Geometry: Ca Geometry: Similar Triangles 1

9th - 10th
This video tutorial [12:55] demonstrates solutions to problems #10-14 of California Geometry released state test questions. Problems address understanding of counterexamples, properties of quadrilateral diagonals, and similar triangles.
Instructional Video
Khan Academy

Khan Academy: Intro to Complex Number Conjugates

9th - 10th Standards
An instructional video describing complex conjugates. Complex conjugates are defined and then used to simplify a problem in which a complex number is divided by another complex number. [8:03]
Instructional Video
Khan Academy

Khan Academy: Algebra: Conic Sections: Tangent Line Hyperbola Relationship

9th - 10th Standards
A video lesson showing the algebraic relationship between the equation of an arbitrary hyperbola and its arbitrary tangent line. [10:04]
Instructional Video
Khan Academy

Khan Academy: Biology: Sodium Potassium Pump

9th - 10th
A detailed explanation of how a neuron transmits information from a dendrite to an exon. [13:53]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Why Eigenbases Make for Good Coordinate Systems

9th - 10th Standards
Video creating a basis out of n linearly independent eigenvectors. Reviews transformations and change of basis matrices. Shows that when the eigenbasis is used as an alternate coordinate system, the transformation is a diagonal matrix...
Instructional Video
Khan Academy

Khan Academy: Calculus: (2^Ln X)/x Antiderivative Example

9th - 10th
Video lesson showing how to solve for the antiderivative of (2^ln x)/x by using u-substitution. [8:40]