AP Precalculus: Video Lessons, Pacing & FRQ Rubrics
Instructor: Mr. Marcus Vance · Rates of change, concavity sign charts, polynomial/rational end behavior, exponential/logarithmic regression, and sinusoidal modeling across the 4 AP Precalculus Free-Response question archetypes.
Non-Negotiable Free-Response Scoring Rules
- Always state both the input interval and units when justifying increasing/decreasing behavior or average rate of change.
- Distinguish function values f(x) from rate-of-change behavior: concave up requires an increasing rate of change on the interval, not merely positive values.
- Show intermediate difference quotients from tables before stating conclusions on FRQ Part B justifications.
- Keep full unrounded calculator precision in intermediate steps and round final numerical answers to three decimal places.
CED Topic Pacing & Packet Sequence
| CED Topic | Classroom Lesson Focus | Printable Resource |
|---|---|---|
| AP Precalculus Topic 1.1 | AP Precalculus Topic 1.1: Change in Tandem: Increasing, Decreasing, and Concavity Sign Charts | Packet + Key |
| AP Precalculus Topic 1.2 | AP Precalculus Topic 1.2: Rates of Change: Secant Slopes and Average Rate of Change Tables | Packet + Key |
| AP Precalculus Topic 1.3 | AP Precalculus Topic 1.3: Rates of Change in Linear and Quadratic Functions | Packet + Key |
| AP Precalculus Topic 1.4 | AP Precalculus Topic 1.4: Polynomial Functions and Rates of Change: Local Extrema and Inflection | Packet + Key |
| AP Precalculus Topic 1.5 | AP Precalculus Topic 1.5: Polynomial Functions and Complex Zeros: Multiplicity and End Behavior | Packet + Key |
| AP Precalculus Topic 1.7 | AP Precalculus Topic 1.7: Rational Functions and End Behavior: Horizontal and Slant Asymptotes | Packet + Key |
| AP Precalculus Topic 1.8 | AP Precalculus Topic 1.8: Rational Functions and Zeros, Vertical Asymptotes, and Removable Holes | Packet + Key |
| AP Precalculus Topic 1.12 | AP Precalculus Topic 1.12: Transformations of Functions: Translations, Dilations, and Reflections | Packet + Key |
| AP Precalculus Topic 2.1 | AP Precalculus Topic 2.1: Change in Arithmetic and Geometric Sequences | Packet + Key |
| AP Precalculus Topic 2.3 | AP Precalculus Topic 2.3: Exponential Functions: Growth Factors, Percent Change, and Limit Behavior | Packet + Key |
| AP Precalculus Topic 2.5 | AP Precalculus Topic 2.5: Exponential Function Context and Data Modeling | Packet + Key |
| AP Precalculus Topic 2.7 | AP Precalculus Topic 2.7: Composition of Functions: Algebraic, Graphical, and Tabular Chaining | Packet + Key |
| AP Precalculus Topic 2.8 | AP Precalculus Topic 2.8: Inverse Functions: One-to-One Domain Restrictions and Reflection Symmetry | Packet + Key |
| AP Precalculus Topic 2.9 | AP Precalculus Topic 2.9: Logarithmic Expressions and Change-of-Base Evaluation | Packet + Key |
| AP Precalculus Topic 2.11 | AP Precalculus Topic 2.11: Logarithmic Functions: Asymptotes, Concavity, and Product-Quotient Laws | Packet + Key |
| AP Precalculus Topic 2.15 | AP Precalculus Topic 2.15: Semi-Log Plots and Exponential Linearization for AP FRQ Part 2 | Packet + Key |
Frequently Asked Questions
How do you justify concavity from a table of values on the AP Precalculus exam?
Compute average rates of change across consecutive intervals in the table. If the average rates of change are strictly increasing across equal or consecutive intervals, the data supports a concave-up model; if strictly decreasing, concave-down.
Where can AP Precalculus teachers download bell-to-bell guided notes and FRQ practice packets?
Printable 300-DPI guided notes, worked table sets, annotated teacher keys, and auto-grading quizzes aligned to @BenchmarkAP video lessons are available at https://www.teacherspayteachers.com/store/benchmark-ap.