AP Precalculus Study Plan: Timing & Strategy

Eight weeks of AP Precalculus, one week at a time

Each week names the AP Precalculus units you work on and one thing you finish and keep. Tick a week off when the deliverable exists, not when the time is up.

Eight-week AP Precalculus schedule
Week	Focus	AP Precalculus units	What you finish that week	Done
Week 1	Diagnose and rebuild the function toolkit	Quick pass over all four units	An error log that sorts every miss into polynomial, exponential, or trigonometric.	Week 1 complete
Week 2	Polynomial and Rational Functions: zeros, multiplicity, end behavior	Polynomial and Rational Functions	A one-page chart of end behavior, holes, and asymptotes with a sketch for each.	Week 2 complete
Week 3	Polynomial and Rational Functions: rates of change and modeling	Polynomial and Rational Functions	Ten 'describe how the function changes' answers using both direction and concavity.	Week 3 complete
Week 4	Exponential and Logarithmic Functions: growth patterns	Exponential and Logarithmic Functions	Build an exponential model from a table by checking equal ratios, then check it on the calculator.	Week 4 complete
Week 5	Exponential and Logarithmic Functions: log rules and inverses	Exponential and Logarithmic Functions	Solve twenty log and exponential equations with no calculator, showing the inverse step.	Week 5 complete
Week 6	Trigonometric and Polar Functions: sinusoidal models	Trigonometric and Polar Functions	Read amplitude, midline, period, and phase shift off five graphs and write each equation.	Week 6 complete
Week 7	Trigonometric and Polar Functions: polar graphs and identities	Trigonometric and Polar Functions	Sketch six polar curves by hand and explain where r is increasing or negative.	Week 7 complete
Week 8	Full timed rehearsal and repair	All tested units	One complete timed exam, scored, with every miss traced to a unit and a fix.	Week 8 complete

AP Precalculus exam strategy

A plan tells you what to study. This tells you how to spend the exam itself. Work these decisions into every timed week above, so exam day is a rehearsal rather than a first attempt.

AP Precalculus timing: what one question is worth in minutes

Work out your pace before exam day so you never discover it during the exam.

Section timing for AP Precalculus
Section	Time	Questions	Pacing note
Multiple choice	1 hour 45 minutes	42 questions	About 2.5 minutes each. The no-calculator part is faster, so bank time there for Part B.
Free response	1 hour 10 minutes	4 questions	Roughly 17 minutes per question. Every question has parts a, b, and c, so budget by part, not by question.

Calculator and reference rules for AP Precalculus

Calculator rules change from section to section, and they are different on every AP exam. Practice each section under its own rule.

What you may use in each part of the AP Precalculus exam
Section or part	What you may use	What that means for your work
Multiple choice, Part A	No calculator	Algebra by hand: factoring, end behavior, log rules, exact unit-circle values.
Multiple choice, Part B	Graphing calculator required	Graph, find intersections, and evaluate models numerically.
Free response, Part A	Graphing calculator required	Regression models, intersections, and decimal answers you must store, not retype.
Free response, Part B	No calculator	Exact answers, transformations, and reasoning about function behavior.

The full relationship-by-relationship review lives on the AP Precalculus formula and reference section.

AP Precalculus task verbs and what earns the point

Free-response points are written for a specific verb. Answer a different verb and the work can be correct and still score zero.

Task verbs used on AP Precalculus free-response questions
If the prompt says	The point is earned by
Describe how the function changes	Direction AND concavity: 'increasing at a decreasing rate' scores; 'increasing' alone often does not.
Justify from rates of change	Name the pattern you found: equal differences means linear, equal ratios means exponential, equal second differences means quadratic.
Construct a model	Write the equation, define each variable, and state its units.
Explain the meaning in context	Give the number, its units, and what it means for the situation in the problem.
Determine the exact value	No decimals. Leave radicals, fractions, and logarithms as they are.

How students lose AP Precalculus points

These are specific to this exam. Read them again the night before.

Unit 4 (parameters, vectors, and matrices) is taught in class but is not tested on the AP exam. Do not spend April on it.
Sinusoidal models: the b value is 2 pi divided by the period, not the period itself. Set your calculator to radians and leave it there.
Rational functions: a hole and a vertical asymptote are different answers. Factor first, then decide which one the cancelled factor made.
Model questions ask you to define variables. Writing only 'y = 3(1.06)^x' with no statement of what x and y mean loses the communication point.

AP Precalculus priorities to protect every week

A useful plan is course-specific. Whatever else a week contains, keep time for the content and response habits that decide AP Precalculus scores.

Function transformations and composition
Exponential versus polynomial behavior
Sinusoidal model parameters
Justification from tables and graphs

AP Precalculus unit-by-unit response plan

30–40%

Polynomial and Rational Functions

Zeros, rates of change, end behavior, transformations, and models

Practice recognizing how polynomial and rational functions can be tested, naming the evidence or method required, and writing a concise response that earns credit.

27–40%

Exponential and Logarithmic Functions

Growth, decay, inverses, semi-log reasoning, and models

Practice recognizing how exponential and logarithmic functions can be tested, naming the evidence or method required, and writing a concise response that earns credit.

30–35%

Trigonometric and Polar Functions

Periodic behavior, identities, equations, and polar representation

Practice recognizing how trigonometric and polar functions can be tested, naming the evidence or method required, and writing a concise response that earns credit.

Course only

Functions Involving Parameters, Vectors, and Matrices

Course extension; not assessed on the end-of-course exam

Practice recognizing how functions involving parameters, vectors, and matrices can be tested, naming the evidence or method required, and writing a concise response that earns credit.

Questions about AP Precalculus eight-week study plan and exam strategy

How should I split eight weeks of AP Precalculus revision?

Week 1 is “Diagnose and rebuild the function toolkit” and you finish it with one thing you keep: an error log that sorts every miss into polynomial, exponential, or trigonometric. Week 8 is “Full timed rehearsal and repair”. Start at the week that matches the time you have left, not at week one.

How should I pace myself on the AP Precalculus exam?

Multiple choice — About 2.5 minutes each. The no-calculator part is faster, so bank time there for Part B. Free response — Roughly 17 minutes per question. Every question has parts a, b, and c, so budget by part, not by question.

What does “Describe how the function changes” mean on the AP Precalculus exam?

Direction AND concavity: 'increasing at a decreasing rate' scores; 'increasing' alone often does not. Answering a different verb can be mathematically correct and still score zero.

What is the biggest scoring trap on the AP Precalculus exam?

Sinusoidal models: the b value is 2 pi divided by the period, not the period itself. Set your calculator to radians and leave it there.

Keep revising

Where to take this next on MathGPT

An exam plan only works if the studying behind it happens somewhere. These are the pages that cover the same material.

GuideThe precalculus subject guideSame syllabus, worked in full.

PracticePrecalculus practice questionsSame syllabus, worked in full.

FormulasThe precalculus formula sheetSame syllabus, worked in full.

CourseThe precalculus courseSame syllabus, worked in full.