## The Cartesian Plane

The Cartesian Plane

The Cartesian Plane

Today�s older generation would probably remember the days of the solar powered calculator or the solar powered watch when they were in grade school. But today, the use of solar or photovoltaic energy grants the earth and its inhabitants with a cleaner and healthier future. A far cry from checking the time or calculating bills. More responsible home owners are becoming environmentally aware about the damages of fossil fuels and are turning to renewable energy options. Aside from wind or hydro-power, solar energy seems to be the most abundant and reliable as, well, the sun rises and sets every Read the rest of this entry »

## Cartesian Plane

Cartesian Plane

Cartesian Plane

For young students, mathematical concepts are difficult to grasp unless they’re illustrated in ways that allow youngsters to make more concrete connections with them. To wit, here are a few real-life, experiential approaches that should help introduce the Cartesian coordinate system to your students. Most math teachers are familiar with how Rene Descartes got inspired to develop plot functions as ordered pairs: by observing a fly on his room’s ceiling while recuperating from an illness.

For a bit of fun, your students may enjoy Julie Glass’ book, The Fly On The Ceiling: A Math Reader. The Read the rest of this entry »

## Cartesian Planes

Cartesian Planes

Cartesian Planes

In simplest terms calculus is just an extension of algebra and geometry. It’s not necessarily an entirely different subject, it just uses the tools of algebra to tackle new problems involving the rate of change for a curve whereas ordinary high school algebra and geometry do with straight lines and linear slopes. If you were to push a crate up an incline and that incline or straight you exert a constant force to move the crate up the slope since the slope is straight and unchanging. But if that’s slope were curved, you have to exert different levels of Read the rest of this entry »

## The Cartesian Plane

The Cartesian Plane

The Cartesian Plane

A vector is nothing more than a directed line segment. Technically speaking, a vector is defined as an object that has both a size, or magnitude, and a direction. Vectors have many applications in mathematics and are found abundantly in fields like physics and engineering. Examples of vectors are velocity, acceleration, and force.

Vectors are defined by their size and direction . For example, velocity is a vector because we can describe this quantity by both its size, that is speed, and its direction. Thus a car Read the rest of this entry »