AP Calculus AB

Mrs. Jennifer Brady, Room B204

Who am I?

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• Best way to contact: email through School Loop or jbrady@cuhsd.org
• Office Hours: Tutorial and by appointment during lunch/after school

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• Equivalent to a first semester college calculus course devoted to topics in differential and integral calculus
• Structured around passing the AP Exam
• Fast paced, very challenging!
• Fun!

What is AP Calculus AB?

Curriculum

The course covers concepts and skills in the following areas:

• Limits
• Derivatives
• Integrals and The Fundamental Theorem of Calculus

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Students will learn how to:

• Approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and make connections amongst these representations
• Learn how to use technology to help solve problems, experiment, interpret results, and support conclusions

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Expectations/Tips for Success

• Study every day (30-45 minutes)
• Do ALL assigned work
• Be organized
• Come for extra help during tutorial and office hours
• Seriously prepare to take AP exam
• Take the AP exam

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Resources available

• Khan Academy and other web sites
• Canvas for AP Calculus course resources
• Practice tests
• College Board – AP Central/AP Classroom

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Grades

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• 60% Tests & Quizzes
• 20% Class work/Homework
• 20% Final Exam

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Benefits of AP

• Preparation for college.
• Sense of accomplishment.
• Intense growth as a student and an individual.
• Long-lasting friendships.
• Learning new skills.
• Being challenged.
• Making discoveries.

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Summer Homework

• A review packet is available on the Flipped Math website. It will cover some of the following topics.

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Necessary incoming skills from Precalculus or IM3 STEM �

• Factoring polynomials
• Difference of Squares
• Greatest common factor
• Synthetic division or area model to factor third and fourth degree polynomials

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Rational expressions�

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• Simplifying rational expressions
• Multiplying and dividing rational expressions
• Adding and subtracting rational expressions
• Rationalize square root expressions in the denominator or numerator by multiplying with the conjugate  . Example : Rationalize the numerator: (sqrt(x+3) - 1)/(x-2)
• Simplifying fractional expressions with fractional exponents Ex:  f(x)=43x-2/3-43x1/3 students should be able to simplify to f(x)=4(1-x)3x2/3

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• System of equations
• Solving linear and nonlinear systems
• Trigonometry
• Unit circle - Know the whole thing from memory
• Trigonometric identities
• Simplify trig expressions using trigonometric identities
• Solve simple trigonometric equations
• Be familiar with addition formula and double angle formula

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Exponential and Logarithmic expressions�

• Use exponent rules to simplify expressions with integer exponents and rational exponents.
• Use Logarithmic rules to simplify/combine/expand logarithmic expressions.
• Use change of base rule.
• Solve logarithmic and exponential equations.

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Functions�

• Able to represent a function using multiple representations.
• Graph the following functions and be able to state the domain, range, symmetry, asymptotes , end behavior, zeros, translate, reflect, dilate...
• Quadratic functions
• Linear functions
• Rational functions
• Polynomial functions
• Radical functions
• Logarithmic and exponential functions
• Trigonometric functions
• Absolute value function
• Graph and analyze piecewise functions

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• Composite functions
• Find domain and range
• Find composite of two functions
• Inverse functions
• Find inverse of a function
• Domain and Range
• Inverse trigonometric functions domain and range
• Students should be able to use a graphing calculator to graph functions in a given window, find intersections, zeros, make a table and change the window

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• If you have any questions please contact me.

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