4 | FRQ (Calculator Active) | Practice Sessions | AP Calculus AB

Introduction

This tutorial aims to guide you through the process of tackling a sample free-response question (FRQ) in AP Calculus AB, specifically when a calculator is allowed. By following these steps, you'll gain a better understanding of how to approach these types of questions effectively, boosting your confidence and skills for the AP exam.

Step 1: Download the Sample Questions

To begin your practice, it's essential to have the correct materials.

• Visit the provided link to download the sample FRQ.
• Ensure that you have the question set in front of you as you follow along with the video.

Step 2: Understand the Question Format

Familiarize yourself with the structure of FRQs in AP Calculus AB.

• Each FRQ typically consists of multiple parts, requiring various calculus concepts.
• Pay attention to keywords in the question that indicate what is being asked, such as "find," "determine," or "evaluate."

Step 3: Analyze Given Information

Carefully read through the information provided in the question.

• Identify any functions, graphs, or data presented.
• Take note of what calculations or analyses may be required, such as finding derivatives, integrals, or limits.

Step 4: Organize Your Work

When solving the problem, structure your response clearly.

• Use separate sections for each part of the question.
• Label your answers clearly, indicating what each part corresponds to.

Step 5: Show Your Calculations

Demonstrate all steps in your calculations to earn full credit.

• Write down the formulas being used.
• Include intermediate steps and calculations leading to your final answer.

Example of a calculation:

Let f(x) = x^2. Then the derivative is:
f'(x) = 2x

Step 6: Use Your Calculator Wisely

Since the calculator is active, leverage it effectively.

• Use it for complex calculations that may be cumbersome by hand, such as evaluating integrals or solving equations.
• Double-check your work by comparing calculator results with manual calculations when possible.

Step 7: Review and Revise Your Answers

Before submitting your response, take a moment to review your work.

• Check for any calculation errors or missing parts.
• Make sure your final answers are clearly stated and correspond to the question parts.

Conclusion

By following these steps, you’ll be better prepared to tackle FRQs in AP Calculus AB with a calculator. Remember to practice regularly with various sample questions to become familiar with different types of problems. Utilize the resources provided by the College Board to further enhance your preparation for the AP exam. Stay motivated and keep refining your skills!