Content Showcase: Video Library

The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope.

Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored.

The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket.

The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth.

The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses.

In this episode of Algebra Applications, two real-world explorations of inequalities are developed. Hybrid Cars.

With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuel-efficient cars makes hybrids a current favorite.

The city of Venice is slowly sinking into the Adriatic Sea. So what does a city whose streets are full of water do about flooding?

In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of logarithmic functions. Such disparate phenomena as hearing loss and tsunamis can be explained through logarithmic models.

The mathematical definition of a logarithm is the inverse of an exponential function, but why do we need to use logarithms?

We live in a noisy world. In fact, prolonged exposure to noise can cause hearing loss. Students analyze the noise level at a rock concert and determine the ideal distance where the noise level is out of the harmful range.

In 1998 a devastating tsunami was triggered by a 7.0 magnitude earthquake off the coast of New Guinea. The amount of energy from this earthquake was equivalent to a thermonuclear explosion. Students analyze the energy outputs for different magnitude earthquakes.

In this episode of Algebra Applications, three real-world explorations of quadratic functions are developed: Pyrotechnics. Fireworks displays are elegant examples of quadratic functions. Forensics.

An overview of the key topics to be covered in the video.

Fireworks displays are elegant examples of quadratic function. In this segment the basics of quadratic functions in standard form are developed visually and students are guided through the planning of a fireworks display.

From the time a baby is born to the time it reaches 36 months of age, there is dramatic growth in height and weight. An analysis of CDC data reveals a number of quadratic models that doctors can use to monitor the growth and development of children.