Over View: AP® Precalculus builds on Algebra II (Math III) and introduces more advanced concepts. You’re off to a good start if you have a strong grasp of algebra, functions, and basic trigonometry. This course course emphasizes analytical thinking and problem-solving. You must understand and apply mathematical concepts, not just memorize formulas.
Algebraic Concepts: You should be proficient in algebraic manipulations, such as solving equations and inequalities, simplifying expressions, and understanding functions. Spend some time working with linear, quadratic, and polynomial equations. Factoring quadratic trinomials and using the quadratic formula, rules of exponents and unit circle are MUST!
Functions: Must be familiar with different types of functions & their restrictions, how to graph them, and interpret their graphs. This includes linear, quadratic, basic polynomial functions, and piecewise-defined functions, logarithmic and trigonometric functions. Know how to work with a function represented graphically, numerically, analytically (symbolically), and verbally.
Skills you will learn:
Algebraically manipulating functions, equations, and expressions
Translating mathematical information between representations
Communicating with precise language, and providing rationales for conclusions