**Balboa**** Academy**

2012-2013 Pre-Calculus Honors 2^{nd} Semester Exam Study Guide

Trigonometry

- Right-Angle Trigonometry
- Trigonometric Applications
- Angles and Radian Measure
- Trigonometric Functions
- Basic trigonometric Identities

Trigonometric Graphs

- Graphs of Sine, Cosine, and Tangent Functions
- Graphs of Cosecant, Secant, and Cotangent Functions
- Periodic Graphs and Amplitude
- Periodic Graphs and Phase Shift

Solving Trigonometric Equations

- Graphical Solutions to Trigonometric Equations
- Inverse Trigonometric Functions
- Algebraic Solutions of Trigonometric Equations

Limits and Continuity

- Limits of Functions
- Properties of Limits
- One-sided Limits
- Continuity
- Limits Involving Infinity

"Can Do Calculus": Instantaneous Rate of Change

Use __ HOLT PRECALCULUS Graphing Approach__ to complete the suggested review exercises:

· Pp. 464/467 (1-47, 49-55)

· Pp. 517/519 (1-42)

· Pp. 564/565 (1-38)

· Page 684 (1-6, 11-18)

· Pp. 961/963 (1-14, 17-28)

· Page 237 (4-8)

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**2012-2013**

**Subjects: Precalculus Honors**

**Course Overview**

**Number Patterns****Equations and Inequalities****Functions and Graphs****Polynomial and Rational Functions****Exponential and Logarithmic Functions****Trigonometry****Trigonometric Graphs****Solving Trigonometric Equations****Trigonometric Identities****Trigonometric Applications****Limits and Continuity**

** Grade Distribution**

- Tests –
**40 %** - Quizzes –
**30%** - Class work assignments (individual and in groups) –
**20%** - Homework (completion) –
**10%**

** PREREQUISITES for AP Calculus (Pre Calculus Honors)**

“**Before **studying Calculus, all students should complete four years of secondary mathematics designed for college-bound students: courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. These functions include **linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric and piecewise-defined** functions. In particular, before studying calculus, students must be familiar with the properties of functions, the algebra of functions, and the graphs of functions. Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and know the values of the trigonometric functions at the numbers 0, π/6, π/4, π/3, π/2, and their multiples.”

Source: PROFESSIONAL DEVELOPMENT AP® Calculus Workshop Handbook

2008-2009, page 5