Curated OER
STEMbite: Probability Challenge
Your statisticians will rise to the probability challenge while watching this video. A toy elephant is placed into one of 24 drawers. What is the probability of correctly guessing which one? As more drawers are opened, does the...
Curated OER
STEMbite: DVD Players
Hear a complete explanation of how a DVD player works. Data is stored in the spiraling groove of a compact disc, and a laser follows the groove, reading the peaks and valleys as 1s and 0s. The teacher even explains the difference between...
Curated OER
STEMbite: DNA Folding
Super short, but very visual, this video models how DNA can pack a tremendous amount of information in a tiny space. Andrew Vander Heuvel visits a farm museum where some young ladies are making rope. The final strand is six times shorter...
Curated OER
STEMbite: 300 Billion Things
Just how much is 300 billion? There are supposedly this many stars in our skies! Mr. Vanden Heuvel calculates about how many blades of grass are in his lawn, but doesn't get close. Then he computes how many grains of sand there are in a...
Curated OER
STEMbite: Bar Codes
Binary code is used to create an endless supply of barcodes. The narrator writes out the computation of how many bar codes are possible. Then he shows that we have come up with even more complex coding such as quick response (QR) code...
Bill Nye
Bill Nye The Science Guy on Wind
Heating and spinning of our planet are what generate wind. A very large tank is used to model the phenomenon of convection, which is explained by Bill, but never specifically mentioned. If you show this mini movie to your meteorology...
Bill Nye
Bill Nye The Science Guy on Heat
A difficult-to-grasp concept, the fact that even cold objects contain heat energy, is the focus of this hot little video clip! Bill Nye tells physical science learners that heat is, by definition, the motion of molecules. He compares the...
Bill Nye
Bill Nye The Science Guy on Light, Bending & Bouncing
Beam me up, Bill! Explore how beams of light behave when they strike flat and curved surfaces. Bill bends light using a nifty contraption that streams three beams through a straight and a curved piece of plastic. He also defines and...
Curated OER
Tau vs. PI
What�s wrong with Pi? In this video, Sal considers the question whether the number Tau (_), is a better number to use in our trigonometric model then the traditional PI (�). First, Sal reviews the definition of Pi, the trigonometric...
Curated OER
IIT JEE Trigonometry Constraints
Sal solves a challenging trigonometric problem for finding the number of values of _ that satisfy a number of constraints over a given interval. He shows a clear step-by-step solution and uses some trigonometric identities that he derives.
Curated OER
IIT JEE Trigonometry Problem 1
Sal solves an interesting question in this video from a college entrance exam in India that requires one to use knowledge of arithmetic progressions, trigonometric identities, and algebra. He works through solving the problem in a...
Khan Academy
Inverse Trig Functions: Arccos
In the third video on inverse trigonometric functions, Sal follows a format similar to the last two. He finds the value for the arcos (-1/2) and shows the restricted domain of the arccos function. He also finds the value for cos(arccos...
Khan Academy
Inverse Trig Functions: Arctan
Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.
Khan Academy
Inverse Trig Functions: Arcsin
Sal defines the concept of inverse trigonometric functions and completes two examples of arcsin. Specifically, he finds the value of the arcsin (sqroot2/2) and arcsin (sqroot3/2). He also talks about the restricted domain of arcsin...
Curated OER
Fun Trig Problem
If solving trigonometric equations is your idea of fun, then this video is correctly titled. Here Sal uses trigonometric identities, the quadratic formula, and inverse trigonometric functions to solve a trigonometric equation sent in by...
Khan Academy
Ferris Wheel Trig Problem (part 2)
Sal continues the Ferris wheel problem in a previous video by graphing the function between zero and 30 seconds.
Khan Academy
Ferris Wheel Trig Problem
The next time you are at an amusement park you may want to consider all the interesting math problems you could do! Using trigonometric ratios, some logic and algebra, Sal solves a problem in this video of finding a person's height off...
Khan Academy
Proof: Law of Sines
In this video, Sal proves the Law of Sines by using the SOH-CAH-TOA model and setting up equivalent ratios.
Khan Academy
Law of Cosines
Sal derives the Law of Cosines using a method similar to the wayward ship captain word problem he solves in another video. This video provides a good review of using the SOH-CAH-TOA model, the Pythagorean Theorem, some of the basic trig...
Curated OER
Trigonometry work problems (part 2)
In this part 2 video, Sal finishes the trigonometric word problem of the wayward ship captain. He wisely continues the algebra work on the problem before finally turning to his calculator for the very last calculation.
Curated OER
Proof: cos(a+b)=(cos a)(cos b)-(sin a)(sin b)
Using a similar method that he used to prove the sum of angles formula for sine, Sal shows the proof the cosine sum of angles formula, cos (a+ b) = cos (a) cos (b) - sin (a) sin (b). This proof also uses the SOH-CAH-TOA model and some...
Curated OER
Intro to the Trigonometric Ratios
This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...
Khan Academy
Mean Value Theorem
Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average...
Khan Academy
Product Rule
Sal defines the product rule and then shows two examples of how it is used. He then shows an example of finding the derivative by using both the chain rule and product rule together.