AP Calculus Summer Homework

AP Calculus AB and BC students are expected to comprehend various math concepts well from day one of the course. To facilitate this process, please consider downloading this packet. The topics range from Algebra 1 to Pre-Calculus and vary in difficulty. The following topics are covered in this assignment:

• Slope, Point-Slope Form, Slope-Intercept Form
• Parallel and Perpendicular Lines
• Function Notation and Composition
• Factoring Quadratics and Cubics
• Long and Synthetic Division
• Radicals and Rational Exponents
• Rationalizing Expressions
• Rational Functions: Simplifying, Domain, Range, and Asymptotes
• Complex Fractions
• Properties of Logarithms and Exponentials
• Unit Circle
• Trigonometric Identities
• Systems of Equations
• Piecewise Functions
• Analyzing Graphs of Functions

This is a great tool to use for summer homework to keep the content they learned at the front of their minds, as well as to help you weed out students who might not be suited for the course.

ALTERNATIVELY: This could be used at the beginning of a calculus course to assess where students currently are with their prerequisite knowledge. For additional problems please consider downloading the AP Calculus Summer Homework Quiz on my page.