Practice to Mastery

Build real command of AP® Calculus AB one unit at a time, with practice that looks and feels like the exam.Practice to Mastery: AP® Calculus AB Workbook is organized around the eight units of the current AP Calculus AB course framework, from limits and continuity through applications of integration. Every unit gives you a full set of original multiple-choice and free-response questions, so you can learn a topic, test yourself on it right away, and see exactly where your understanding breaks down.What’s inside:1,176 original practice problems: 1,122 multiple-choice questions and 54 free-response questionsEight unit chapters, each with 130 to 150 multiple-choice questions and 6 free-response questionsSeparate no-calculator and graphing-calculator sections in every unit, matching the two calculator settings of the examQuestions ordered from easier to harder within each section, so you can build confidence before tackling exam-level challengesFree-response questions in the exam’s multi-part format, each with a 9-point scoring guideline, point-by-point scoring notes, and a complete model responseA clear explanation for every multiple-choice question that shows why the correct answer is correct, with the key steps worked outGraphs, tables, slope fields, and region diagrams drawn for the questions, just as you will see them on test dayOne full-length practice exam at the end of the book, timed and structured like the real AP Calculus AB Exam, with complete answers, scoring guidelines, and a score estimateCoverage includes limits and continuity; the definition and rules of differentiation; the chain rule, implicit differentiation, and inverse functions; rates of change in context, related rates, linear approximation, and L’Hospital’s Rule; the Mean Value Theorem, extrema, concavity, and optimization; Riemann sums, the Fundamental Theorem of Calculus, accumulation functions, and integration by substitution; differential equations, slope fields, separation of variables, and exponential models; and average value, motion, area, and volume. The content stays strictly within the AB course, so you never waste time on BC-only topics.Every question in this book was written specifically for it. The no-calculator questions can be solved exactly by hand, and the graphing-calculator questions reward the calculator skills the exam expects: finding zeros and intersections, evaluating derivatives numerically, and computing definite integrals. Free-response questions mix procedural and conceptual tasks, include real-world contexts, and require the kind of justification that earns points, such as checking the hypotheses of a theorem before applying it.How to use this book: work through a unit as you study it in class, start with the no-calculator section, then move to the calculator section. Check every answer against the explanations, and score your free-response work with the scoring guidelines to learn what readers look for. When you have finished the course, take the practice exam under timed conditions to see where you stand.Ideal for students taking AP Calculus AB, for self-study, and for teachers who want a large bank of unit-aligned practice with fully worked solutions.For full-length timed practice, pair this workbook with its companion, Practice to Mastery: AP® Calculus AB Practice Exams.AP® and Advanced Placement® are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, this product.