• # Honors Precalculus Prerequisite Topics

No Honors Precalculus summer packet is assigned this year. Alternately, a list of prerequisite topics is provided below.

Students will be encouraged to review these topics independently only if they feel it necessary. Then, we will convene in August/September 2019 and spend 2 days addressing any questions about these skills. A test will follow on day 3.

The rationale is to keep pace with Honors Precalculus/Math Analysis courses of study across the country that begin a year by leaping directly into new material from the outset.

Relations and Functions

• Function Basics
• Working with Functions
• Function Domain and Range
• Linear Functions: Applications
• Graphing Functions
• The Greatest Integer Function
• Composite Functions
• Manipulating Graphs: Shifts and Stretches

Polynomial and Rational Functions

• Polynomial Division
• The Remainder Theorem
• The Factor Theorem
• The Rational Root Theorem
• Zeros of Polynomials
• Graphing Polynomials
• Rational Functions
• Graphing Rational Functions

Exponential and Logarithmic Functions

• Function Inverses
• Graphing the Inverse
• Exponential Functions
• Applying Exponential Functions
• Logarithmic Functions
• Solving Logarithmic Equations
• Properties of Logarithms
• Applying Logarithmic Functions
• Solving Exponential and Logarithmic Equations
• Applying Exponents and Logarithms

Systems of Equations

• Linear Systems of Equations
• Linear Systems in Three Variables
• Applying Linear Systems
• Nonlinear Systems of Equations
• Systems of Inequalities
• Linear Programming
• Curves of Best Fit

Conic Sections

• Parabolas
• Circles

Probability, Statistics and Sequences

• Combinations and Probability
• The Binomial Theorem
• Measures of Center and Variation
• Sequences

Introduction to Trigonometry

• Angles, Radian Measure, and Arc Length
• Right Angle Trigonometry
• The Trigonometric Functions
• Graphing Sine and Cosine Functions with Vertical and Horizontal Shifts
• Graphing Other Trigonometric Functions
• Basic Trigonometric Identities