Flipped Math
Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
Crash Course
pH and pOH
A physicists and a biologist had a relationship, but there was no chemistry. Why is the p in pH lowercase and the H in pOH uppercase? What does the p stand for anyway? These concepts are clearly and...
Khan Academy
Proof: A(logB) = log (B^A), log A - log B = log (A/B)
Here are the proofs for two logarithm properties. First, the Power Property of Logarithms is proved using the definition of a logarithm and the rules of exponents, and then the Quotient Property is proved in a similar fashion.
Khan Academy
Vi and Sal Talk About the Mysteries of Benford's Law, Logarithms, Algebra II
Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can give an intuitive reason why this law fairly...
Khan Academy
Vi and Sal Explore How We Think About Scale, Algebra II
Why do people perceive a bigger difference between the numbers one and two than between the numbers 1001 and 1002? In this interesting video, Sal is accompanied by Vi Hart. They talk about how we tend to think according to the...
Khan Academy
Logarithmic Scale, Logarithms, Algebra II
In this thought-provoking video, Sal shows how a typical linear scale is different from a logarithmic scale. He plots numbers on both scales and compares them to show why the logarithmic scale is useful. This video gives an intuitive...
Khan Academy
Change of Base Formula Proof, Logarithms, Algebra II
This video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.
Khan Academy
Proof: d/dx(ln x)=1/x
Using the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of the derivative of ln x = 1/x. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a more straightforward...
Khan Academy
Proof: d/dx(e^x) = e6x
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows proof that the derivative of ex = ex. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó clearly explains this proof.
Khan Academy
Introduction to Logarithm Properties (Part 2), Logarithms
Sal gets to the heart of this video, clarifying that it's important to understand math "so you can apply it later on and not have to relearn everything every time." True to his word, Sal demonstrates ways to solve logs and exponents more...
Khan Academy
Vi and Sal Talk About the Mysteries of Benford's Law, Logarithms, Algebra II
Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can intuitively explain why this law fairly accurately...
Curated OER
STEMbite: The Calculus of Building Blocks
Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...
Khan Academy
Introduction to Logarithms
Sal crafts a demonstration around one of his "most misspelled words" - logarithms - in this thorough and understandable video. He defines a logarithm before using several examples to illustrate his point. Sal makes learning this concept...
Flipped Math
Solving Exponential Equations
Logarithms and exponents go together like multiplication and division. A video lesson demonstrates solving exponential equations both graphically and using logarithms. Supplemental materials give learners an option to practice what...
Flipped Math
Properties of Logarithms
You can't just do any old thing with a logarithm. You need a property to back you up. Pupils learn the properties of logarithms and how they relate to exponent properties in a video presentation. They then use the provided practice...
Flipped Math
Logarithmic Graphs
There is no rhythm like the logarithm. A complete lesson on graphing logarithm highlights the inverse relationship between exponential and logarithmic functions. A guided notes document and practice problem accompany the video presentation.
Flipped Math
Introduction to Logarithms
Keep on rolling with a lesson on logarithms. A video presentation introduces the definition of logarithms, the properties of them, and then how to use logarithms to solve simple exponential equations. The lesson is a first in a series of...
Learning Games Lab
Finding Your Place on the Scale (Logarithms)
Linear scales are the standard that most graphs and data use. Converting data to a logarithmic scale can be tricky, but a video presentation thoroughly describes the process. Using visual imagery and specific examples, the lesson...
JFR Science
pH and Kw
What is pH and where does it come from? Science superstars take their understanding of acids and bases to another level using a video from JFR Science. The narrator builds on prior knowledge to show viewers how to use what they already...
JFR Science
Ka
Aren't all acids strong? Dispel the myth with a video from JFR Science. Viewers learn general types of strong and weak acids, what the dissociation constant is, and the behavior of strong versus weak acids with bases and water.
JFR Science
Acid Strength: What Does pH Mean?
What makes one acid stronger than another? Pupils peruse the property of pH through a video from the JFR Science playlist. The narrator explains what is meant by a neutral pH, what that looks like from a chemical standpoint, and how...
Krista King Math
Derivatives of Logarithms
It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...
Krista King Math
Derivative of x^x
Use this trick to find the derivative of x raised to the x power. The video shows how to find a complicated derivative by rewriting the function using properties of logarithms. After rewriting the function, the derivative is simply...
MinutePhysics
Computer Color is Broken
Is your smartphone really doing its best work when it comes to color? The narrator describes technology's lazy approach to recreating colors in an insightful video. Science scholars discover how digital cameras store...