Investigate numbers and sums and their behavior as they approach a finite number or infinity. The emphasis is on an intuitive approach to limits. Expand binomials having positive integral exponents through the use of the binomial theorem, combinations, and Pascal s triangle. Apply the method of mathematical induction to prove formulas or statements. Preparation for Calculus Benchmark Students investigate the fundamental principles of calculus using graphing technologies.
Indicators Explain and illustrate the limit of an algebraic function through graphs.
Investigate and describe the continuity and end behavior of functions including piecewise, step, and absolute value functions using graphing calculators. Find the increasing and decreasing intervals and the relative extrema of the graph of a polynomial function and determine if each is a minimum or maximum with graphing calculators. There is no Virginia Standards of Learning Test for Mathematical Analysis.