Here is how Natural Selection works:
1. More organisms are born than can survive.
2. Offspring are similar, but not identical to their parents. Every batch of offspring contains a natural range of genetic variation. Genetic variation is produced in several ways, as discussed below. Changes in the genetic code, most of the time, are either harmful to an organism or neutral to it. However, there are rare instances where such changes can be helpful to the survival of an organism. Changes in the genetics of a species can bring about physical changes which give a survival advantage to the species, allowing it to continue when other species cannot.
3. Nature "selects" the characteristics that are most effective for the conditions, and that species survives. Selective forces drive physical change. Selective forces are not "forces" like gravity, but factors that effect how many organisms live and how many die. The reason lions are so fast and powerful is that their prey is so swift and elusive. (Because any slow and weak lions would not be able to survive long enough to reproduce). The reason antelopes are so swift and elusive is because lions are so fast and powerful. (Because any slow antelopes, and any that lack the instinct to run in a zig-zag pattern, would not survive long enough to reproduce.) There are other types of selective forces: climate changes and food supply changes will eliminate any organisms which aren't well suited for survival; sexual selection is the reason male peacocks have enormous tail feathers, and why deer and moose have huge antlers-- peacocks with small feathers and moose with little antlers don't get to mate with the females. Selective pressure is any factor that makes it hard for some organisms to continue surviving, and rewards any advantage that some organisms may have been born with.
4. Over millions of years, successive generations of genetic variations, which give survival enhancements, bring about new species. Thousands of generations of small changes result in a species that can look very different from the one that it came from.
NOTE: Species evolve-- individual organisms do not. Creatures don't "change" from one thing into another... they remain as they were born. Organisms do not choose to evolve-- favorable traits are chosen by the survival of the creature; less efficient characteristics are eliminated by the deaths of organisms. Within a species, there is a predictable range of possible traits, and a guaranteed chance of random mutations. Any trait that provides a survival advantage is preserved into the next generation, but a trait that is harmful to an individual results in the death of that individual.