Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...

Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...

Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...

There's more to derivatives of multiplication than simply the product of the derivatives. A helpful video gives learners the product rule of finding the derivative of the product of two functions. Pupils find the derivatives of functions...

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...

Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...

It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...

Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...

Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...

Taking a guided tour through the White House would require extensive travel costs and an armed security escort—but a virtual tour only requires an Internet connection! A few clicks bring users through the historical corridors and rooms...

Most learners likely are not familiar with Statis Myrivilis or his anti-war writings, but his works spur scholars to debate over the role of protest literature in wartime. While the video does situate Myrivilis within the context of the...

While many can identify Ernest Hemingway's famous works, they may be unaware of his service during World War I and how that affected his literary contributions. An video details Hemingway's service in World War I and explains events and...

Did you know there are 567 federally recognized American Indian and Native Alaskan tribes and villages in the United States alone? The resource helps break down the complexities of many different tribal societies to explain the concept...

The story of "Once Upon a Dime" starts like any other fairy tale, but it quickly becomes a story about the value of money and the economic system commonly used before it. Presented as a cartoon, the resource consists of dialogue between...

Did the T. Rex have feathers? A video from the Eons series playlist explains the exciting recent findings about dinosaurs and feathers. It details the evidence, the research, and our current understanding. It also considers why dinosaurs...

Can we communicate at a speed faster than light? Part of a video series, this enthralling installment introduces the idea of Einstein's spooky action. Then, it relates and expands the concept of quantum entanglement. The results of new...

The largest body of water in California, the Salton Sea,  was created by accident. An interesting installment of a video series shares the history of the lake, which is now home to the second-most diverse group of birds in America. From...

In 1852, a German physicist, Magnus, talked about an effect first described by Isaac Newton in 1672. Part of a series, an interesting video explains the Magnus effect and previous attempts to apply it to transportation. It also shows a...

Magnifying glasses and cameras often use converging lenses, but how do they alter an image? Pupils discover a lens, axis, and object arrow before identifying four characteristics of the resulting image. They label the location,...

Pupils apply their knowledge of refraction to four different sets of challenges. Each of the first three focus on one variable's impact on the direction of bending. The fourth combines variables for greater challenge.

We see curved mirrors every day in spoons, rear-view mirrors, stores as a safety measure, make-up mirrors, and in novelty stores. Scholars explore the changes to an image based on the curve of the mirror, the location of the image, and...

While only briefly mentioned in most Physics books, plane mirrors and their applications offer the basics necessary for future studies. While working through an interactive, pupils demonstrate knowledge of both reflection and its forms....

Reflection seems simple to understand, but without a complete understanding, pupils struggle with ray diagrams, specular versus diffuse reflection, total internal reflection, and image formation. An engaging interactive provides three...

Unending war, battles on every front, increasing offenses and defenses as the sides adjust to each other ... these phrases describe your body fighting viruses. From a common cold to deadly Ebola, cells adjust and defend life themselves....