NBPTS AYA Mathematics Study Guide 2026-2027 | National Board Math Adolescence and Young Adulthood Component 1 Prep + Practice Tests

A complete study guide for Component 1: Content Knowledge of the National Board Certification in Mathematics: Adolescence and Young Adulthood (AYA Mathematics), for teachers of students ages 14–18+.

What's Inside:

• Content review in 8 sections that follow the Component 1 content areas: Contexts for Mathematics, Numbers and Operations, Algebra and Functions, Geometry, Trigonometry, Discrete Mathematics, Data Analysis and Statistics, and Calculus
• 114 topics with 83 quick-reference tables, diagrams and worked examples: history of mathematics, number systems and the complex plane, functions and inverses, transformations, circle theorems, volumes of revolution, the unit circle, the Law of Sines ambiguous case, counting and graph theory, the normal curve, regression, inference, derivatives, integrals and series
• 2 practice tests of 100 four-option questions each, weighted like the real selected-response section (Contexts 15%, Problem Solving and Number Sense 40%, Modeling and Analysis 45%)
• 200 exam-level questions in all, each with a step-by-step worked explanation
• Practice prompts and model outlines for all three constructed-response exercises (families of functions, geometry, data analysis)
• Component 1 overview, scoring, fees, study schedules, FAQs, and test-taking strategies

Format:

• Digital PDF, instant download
• 228 printable US Letter pages

NBPTS, NBCT, National Board Certified Teacher and National Board Certification are registered trademarks of the National Board for Professional Teaching Standards. This is an independent study resource and is not affiliated with or endorsed by NBPTS.