Why Study Pre-Calculus, continued
Students learn how to solve multi variable equations using matrix operations as well as the fundamentals to polar graphing
A fast paced unit on trigonometry comes next. In this unit, students solve real life problems using trigonometric ratios, the sine law, cosine law as well as a variety of tools to find area. Graphing trig functions both by hand and with the graphing calculator instills the notion of amplitude, period and phase shift for the students. Inverse trig functions are solved and trig identities are introduced. Students investigate the sum and difference laws, the double and half angle laws and finish off the unit solving trigonometric equations.
The last quarter of the year is set aside for an introduction to calculus. It is important for the students to be introduced to the fundamental building blocks of calculus so that they feel comfortable entering a college calculus class. Multiple resources are used to study tangent and secant lines to understand the definition of derivative. Derivative laws as wells as max and min problems help the students solve real life problems. Next, polynomial functions are graphed using the first and second derivative. The unit concludes by solidifying the notion of the integral and its application. |