--- title: "AP Precalculus Tutoring Online: Units 1 to 3, May 2027 Exam" description: "AP Precalculus tutoring online for the May 11, 2027 exam: the three assessed units, calculator rules by section, the four free-response types and practice of ours." canonical: https://learn.modernagecoders.com/ap-precalculus-tutoring-online source: src/pages/ap-precalculus-tutoring-online.html --- > AP Precalculus tutoring online for the May 11, 2027 exam: the three assessed units, calculator rules by section, the four free-response types and practice of ours. In short AP Precalculus is a College Board Advanced Placement course designed as the equivalent of a first-semester college precalculus course. Its exam, on Tuesday, May 11, 2027, lasts 2 hours 55 minutes: 42 multiple-choice questions worth 62.5% of the score and four six-point free-response questions worth 37.5%, covering Units 1 to 3 (polynomial and rational, exponential and logarithmic, trigonometric and polar functions). Modern Age Coders tutors AP Precalculus live online, in a batch of 15 to 20 or 1-on-1, through our AP Precalculus exam prep course. Learn with a teacher ## Courses for an AP Precalculus student The AP course first, then the algebra behind it and the calculus after it. [![AP Precalculus course thumbnail](/images/ap-precalculus.webp) APP / 01 AP Precalculus exam prep Units 1 to 3 in College Board's order, with calculator and no-calculator practice and free-response writing. Open the syllabus →](/courses/ap-precalculus-exam-prep-course)[![High School Mathematics course thumbnail](/images/high-school-maths.webp) APP / 02 High school mathematics For a student whose Algebra 2 still slows down the precalculus. Open the syllabus →](/courses/complete-high-school-mathematics-mastery)[![AP Calculus AB & BC Exam Prep, Live Online, Score 5 Goal course thumbnail](/images/ap-calculus-prep.webp) APP / 03 AP Calculus AB and BC Where rates of change go next, for the year after. Open the syllabus →](/courses/ap-calculus-exam-prep) The exam ## What is on the AP Precalculus exam, and when is it? The 2027 exam is on Tuesday, May 11, 2027, in the morning session. It has 42 multiple-choice questions in 1 hour 45 minutes and four free-response questions in 1 hour 10 minutes, and it covers Units 1, 2 and 3 only. | Section | Questions and time | Share of score | Calculator | | --- | --- | --- | --- | | I, Part A: multiple choice | 29 questions, 65 minutes | 43.75% | Not permitted | | I, Part B: multiple choice | 13 questions, 40 minutes | 18.75% | Graphing calculator required | | II, Part A: free response | 2 questions, 35 minutes (FRQ 1 and 2) | 18.75% | Graphing calculator required | | II, Part B: free response | 2 questions, 35 minutes (FRQ 3 and 4) | 18.75% | Not permitted | | Total | 46 questions, 2 hours 55 minutes | 100% | | ### The date and the day College Board's 2027 schedule runs AP Exams over two weeks, May 3 to 7 and May 10 to 14, 2027. AP Precalculus is in Session 1 on Tuesday, May 11, and for most schools in the lower 48 states, Hawaii and Washington, D.C., Session 1 starts at 8 a.m. local time. The same Tuesday has AP Statistics in Session 2, and AP Calculus AB and BC fall on Monday, May 10. A student taking two of these should plan the week, not just the morning. ### What kind of exam it is College Board describes AP Precalculus as a hybrid digital exam. It publishes test previews in the Bluebook app and a sample free-response booklet so students can see in advance how they will answer the free-response questions. The free-response questions are each worth 6 points, and two of them, according to the AP Students page, "incorporate a real-world function modeling context". Students are expected to explain, not only to compute. Sources: AP Central [AP Precalculus exam page](https://apcentral.collegeboard.org/courses/ap-precalculus/exam) and [2027 AP Exam dates](https://apcentral.collegeboard.org/exam-administration-ordering-scores/exam-dates), and the AP Students [AP Precalculus exam page](https://apstudents.collegeboard.org/courses/ap-precalculus/assessment), checked October 31, 2026. AP and Advanced Placement are trademarks of College Board, which is not affiliated with Modern Age Coders. The course ## What are the AP Precalculus units and how much is each worth? Four units, three of them on the exam. On the multiple-choice section, College Board weights Unit 1 at 30 to 40 percent, Unit 2 at 25 to 40 percent and Unit 3 at 30 to 35 percent. Unit 4 is taught where states or districts require it and is not assessed. | Unit | Topics | Suggested pacing | Multiple-choice weighting | | --- | --- | --- | --- | | 1. Polynomial and Rational Functions | 1.1 Change in Tandem to 1.14 Function Model Construction and Application | 6 to 8 weeks | 30 to 40% | | 2. Exponential and Logarithmic Functions | 2.1 Change in Arithmetic and Geometric Sequences to 2.15 Semi-log Plots | 6 to 9 weeks | 25 to 40% | | 3. Trigonometric and Polar Functions | 3.1 Periodic Phenomena to 3.15 Rates of Change in Polar Functions | 7 to 10 weeks | 30 to 35% | | 4. Functions Involving Parameters, Vectors, and Matrices | 4.1 to 4.14, ending with matrices modeling | 7 weeks | Not assessed | | Practice | What College Board means | Exam weighting | | --- | --- | --- | | 1. Procedural and Symbolic Fluency | Algebraically manipulate functions, equations, and expressions | 35 to 50% | | 2. Multiple Representations | Translate mathematical information between representations | 20 to 30% | | 3. Communication and Reasoning | Communicate with precise language, and provide rationales for conclusions | 30 to 40% | ### The two ideas under every unit The Course and Exam Description opens Unit 1 with two concepts: covariation, "how output values change in tandem with changing input values", and rates of change, "including average rate of change, rate of change at a point, and changing rates of change". Topic 1.1 is literally called Change in Tandem. Those ideas return for every function type. An exponential model is a function whose output changes by a constant ratio; a sinusoidal one has rates of change that repeat. Students who learn each function as a separate list of rules miss the thread the exam is built on. ### Precise language is assessed Up to 40 percent of the exam weighting goes to Communication and Reasoning, and the CED shows the standard it means with a model sentence: "On the closed interval 0 to 1, as the value of x increases, the value of y increases then decreases." Its pool example goes further, naming inputs, outputs and units: the average rate of change of volume from 2 to 5 minutes "is 0.4 cubic meters per minute". We teach students to write like that from the first week, because the free-response scoring expects it. Sources: AP Central [AP Precalculus course page](https://apcentral.collegeboard.org/courses/ap-precalculus) and the [Course and Exam Description](https://apcentral.collegeboard.org/media/pdf/ap-precalculus-course-and-exam-description.pdf) (PDF), whose pacing assumes 45-minute class periods five days a week for a full year; checked October 31, 2026. Calculator rules, our arithmetic ## Can you use a calculator on the AP Precalculus exam? On some parts only. A graphing calculator is required for multiple-choice Part B and free-response Part A, and not permitted on multiple-choice Part A or free-response Part B. Adding College Board's published shares, 62.5 percent of the score is earned without a calculator. | Calculator rule | Parts | Share of score (our sum) | Minutes per question (our division) | | --- | --- | --- | --- | | Not permitted | MC Part A (29 questions) and FRQ Part B (2 questions) | 43.75% + 18.75% = 62.5% | About 2.2 for MC; 17.5 for each FRQ | | Graphing calculator required | MC Part B (13 questions) and FRQ Part A (2 questions) | 18.75% + 18.75% = 37.5% | About 3.1 for MC; 17.5 for each FRQ | ### What the calculator is for The CED is specific: "students must learn to identify zeros, points of intersection, and extrema using graphing calculator technology", and they also fit linear, quadratic, cubic and quartic regressions to data. AP Students adds that the calculator parts are answered in radian mode. So the calculator sections are not easier versions of the others. They test whether a student can set up a model and read a graph correctly, which is its own skill and needs its own practice. ### What it means for study time Most of the marks need algebra by hand: exact values, log rules, factoring, rewriting trigonometric expressions. A student who practices everything with a calculator at their elbow is practicing for the smaller share of the exam. We split practice the same way the exam does: hand-only sessions for symbolic work, and separate calculator sessions for modeling, regression and graph reading. Shares and timings from the AP Central exam page; calculator uses from the Course and Exam Description; radian mode from AP Students; checked October 31, 2026. The sums and the minutes per question are our arithmetic. College Board keeps the list of approved calculators on its AP calculator policy page. Free response, ours ## What are the four AP Precalculus free-response questions? College Board names them: Function Concepts and Modeling a Non-Periodic Context, both with a graphing calculator, then Modeling a Periodic Context and Symbolic Manipulations, both without. Each is worth 6 points. The examples below are our own, written in that style, not College Board questions. **Our periodic model, in the style of FRQ 3.** A Ferris wheel seat is 5 meters above the ground at its lowest point and 45 meters at its highest, and the wheel turns once every 8 minutes. A rider boards at the lowest point at t = 0. A model is h(t) = 25 − 20 cos(πt / 4), with h in meters and t in minutes. (i) State the midline, amplitude and period. (ii) When is the rider first 35 meters up? (iii) Describe how the rate of change of h behaves on 0 ≤ t ≤ 4. ### (i) Reading the model The midline is h = 25, halfway between 5 and 45. The amplitude is 20, half of the 40-meter difference. The period is 8 minutes, since πt / 4 reaches 2π when t = 8. ### (ii) Solving without a calculator 25 − 20 cos(πt / 4) = 35 gives cos(πt / 4) = −1/2. The first positive solution is πt / 4 = 2π/3, so t = 8/3 minutes, about 2 minutes 40 seconds after boarding. ### (iii) The rate of change On 0 < t < 4, h is increasing. Its rate of change increases on 0 < t < 2 and decreases on 2 < t < 4, so h is concave up and then concave down, with the fastest climb at t = 2, at the midline. | Interval | h at start | h at end | Average rate of change | | --- | --- | --- | --- | | t = 0 to 1 | 5.00 | 10.86 | 5.86 | | t = 1 to 2 | 10.86 | 25.00 | 14.14 | | t = 2 to 3 | 25.00 | 39.14 | 14.14 | | t = 3 to 4 | 39.14 | 45.00 | 5.86 | ### How the answer should be written Part (iii) is where most of the points sit, and the language matters. Our model answer: "On the interval 0 < t < 4, h is increasing. The average rates of change over successive one-minute intervals increase from 5.86 to 14.14 meters per minute and then decrease to 5.86, so the rate of change of h increases and then decreases." That is the CED's precise-language standard applied. A student who writes "it goes up faster then slower" has the right idea and may not earn the reasoning point. The difference is naming the function, the interval and the units. ### A symbolic example, FRQ 4 style Our problem: solve log2(x) + log2(x − 2) = 3. Combine the logs: log2(x(x − 2)) = 3, so x(x − 2) = 8, x2 − 2x − 8 = 0 and (x − 4)(x + 2) = 0. Only x = 4 is in the domain of both logarithms; x = −2 must be rejected, with a reason. The rejection is the point. Symbolic Manipulations questions reward a correct answer with a justified domain check, not just the algebra. Question types and point values from the AP Central and AP Students exam pages. The Ferris wheel model, the log equation, the table and the model answers are ours, checked in Python on October 31, 2026. Past free-response questions and scoring guidelines are on AP Central's [exam page](https://apcentral.collegeboard.org/courses/ap-precalculus/exam); we link to them and reproduce none. Practice set, ours ## Seven AP Precalculus practice problems One or two from each assessed unit, at exam level. Written by our teachers; answers checked in Python. Try them without a calculator first. | # | Unit | Our problem | Answer | | --- | --- | --- | --- | | 1 | Unit 1 | What is the average rate of change of f(x) = x3 − 4x on the interval [0, 2]? | 0, because f(0) = f(2) = 0 | | 2 | Unit 1 | Find all real zeros of f(x) = x3 − 4x. | −2, 0 and 2 | | 3 | Unit 2 | A geometric sequence has first term 5 and common ratio 3. What is the sixth term? | 5 × 35 = 1215 | | 4 | Unit 2 | Find the inverse of f(x) = 2x − 1 + 3. | f−1(x) = 1 + log2(x − 3), for x > 3 | | 5 | Unit 2 | Solve e2x − 5ex + 6 = 0. | x = ln 2 or x = ln 3 | | 6 | Unit 3 | State the amplitude, period and midline of y = 5 sin(3x) + 2. | 5; 2π/3; y = 2 | | 7 | Unit 3 | Convert the polar point r = 2, θ = π/3 to rectangular coordinates. | (1, √3) | ### Why problem 1 is a trap An average rate of change of 0 does not mean f is constant. On [0, 2] the cubic dips below the axis and comes back; the start and end heights happen to match. The CED separates average rate of change from rate of change at a point for exactly this reason. A good free-response answer would say so: "the average rate of change over [0, 2] is 0, although f is not constant on that interval". ### A semi-log check, Unit 2 Topic 2.15 is Semi-log Plots. Our example: for y = 3 × 2x, log y = log 3 + x log 2, so plotting log y against x gives a straight line with slope log 2, about 0.301 in base 10. A straight semi-log plot is how data reveals an exponential model. Students meeting this for the first time often expect the curve to stay curved. Seeing the line appear is one of the more satisfying moments in the course. All seven problems, the explanations and the semi-log example are ours. For official practice, College Board publishes past free-response questions with scoring guidelines on AP Central and test previews in Bluebook; AP Classroom progress checks are available through a student's AP class section. A school-year plan, ours ## From August to May 11, 2027 Our suggested pacing, close to the CED's week ranges. If the school is ahead or behind, we match the class, not this table. | When | Focus | The sign it is secure | | --- | --- | --- | | August to October | Unit 1: rates of change, polynomials, rational functions | Describes concavity in words and from a table of values | | November to January | Unit 2: exponentials, logarithms, semi-log plots | Solves log equations by hand and rejects extraneous roots | | February to April | Unit 3: trigonometric and polar functions | Builds a sinusoidal model from a description, no calculator | | Late April to May 11 | Full timed exams, split by calculator rule | Finishes MC Part A with time to check, and writes FRQ reasons in full | ### If the exam is weeks away Sit one full practice exam in the four timed parts, then rework every free-response answer that lost a reasoning point. Spend more of the remaining time on no-calculator work, since that is where most of the score sits. ### If the course is just starting Make sure the Algebra 2 prerequisites are solid: College Board lists linear and quadratic functions, factoring, systems of equations, exponents, radicals and complex numbers. Our [precalculus tutoring page](/precalculus-tutoring-online) covers non-AP precalculus, and [Algebra 2 tutoring](/algebra-2-tutoring-online) covers what comes before. The full list ## Math courses around AP Precalculus Grouped by where the student is in the high school sequence. I ### The AP course Grades 10 to 12 APP / AP / 01 #### AP Precalculus exam prep Units 1 to 3 and the May exam. [Open the syllabus](/courses/ap-precalculus-exam-prep-course) APP / AP / 02 #### AP Calculus AB and BC The next AP math course. [Open the syllabus](/courses/ap-calculus-exam-prep) APP / AP / 03 #### AP Statistics Same day, afternoon session. [Open the syllabus](/courses/ap-statistics-maths-exam-prep-course)II ### Before and alongside Algebra and functions APP / BASE / 01 #### High school mathematics Algebra 2 and functions. [Open the syllabus](/courses/complete-high-school-mathematics-mastery) APP / BASE / 02 #### Algebra foundations For gaps from Algebra 1. [Open the syllabus](/courses/algebra-foundations-masterclass) APP / BASE / 03 #### SAT Math Many juniors take both. [Open the syllabus](/courses/sat-math-prep-course)III ### Using the functions Modeling and data APP / USE / 01 #### Statistics and probability Regression and data. [Open the syllabus](/courses/statistics-probability-maths-course) APP / USE / 02 #### Math through coding Plot a model in Python. [Open the syllabus](/courses/maths-through-coding) APP / USE / 03 #### Data science for teens Exponential growth in real data. [Open the syllabus](/courses/data-science-course-for-teens-python-data) How lessons run ## Live AP Precalculus classes through the school year Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Weekdays After school, matched to the class unit. Weekends Timed practice exams in four parts. 1-on-1 One student, one teacher, one weak unit. ### Two kinds of session Hand-only practice and calculator practice, kept apart as on the exam. ### Written reasons Every free-response answer is rewritten until it names the interval and the units. ### Unit by unit Lessons follow the school's pace, so tutoring supports the class rather than competing with it. ### Original problems Ours, in College Board style; official released questions are for students to try themselves. ### Every US time zone Live online, scheduled around the school day. ### Batch size Fifteen to twenty students, or one student alone. Student work ## Projects from our students Work our learners have published across math, programming and AI. The [student labs](/student-labs) page shows more. ![NutriLife AI nutrition coach project screenshot](/images/projects/nutrilife.webp) AI and ML #### NutriLife An AI nutrition coach that reads what you eat and works you toward a target. by Bhavya · [Open it](https://nutrilife-bhavya.lovable.app) ![Misti AI chatbot for maths and coding screenshot](/images/projects/misti.webp) AI and ML #### Misti A chatbot that answers mathematics and programming questions, built and deployed by a student. by Harshit · [Open it](https://misti.modernagecoders.com) ![GuardianX AI internet safety assistant screenshot](/images/projects/guardianx.webp) AI and ML #### GuardianX An assistant that helps a young person recognise unsafe situations online. by Vivaan · [Open it](https://guardianx-cybersaver.lovable.app) ![SkyCast weather forecast application screenshot](/images/projects/skycast.webp) Web app #### SkyCast A weather forecasting site with live conditions for any location. by Krish Fees ## Fees Schools order AP Exams through College Board; our monthly fee is only for tutoring. Families can start at any unit and stop after May 11. Free first class USD 0 no card required - A free first lesson - One no-calculator problem and one calculator problem - No card details Book it Group batch USD 100 a month, billed in US dollars - A batch of 15 to 20 - One teacher all year - Paced to the school course - Monthly Start here One to one USD 150 a month, billed in US dollars - A private AP Precalculus tutor - Lessons matched to class tests - Free-response answers read in full Enquire What families say ## Rated 4.9 across 547 Google reviews Google reviews from families, as they were written. ★★★★★ "The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content." Ria Mukherjee Parent ★★★★★ "Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease." Samriddha Mondal Student ★★★★★ "One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development." Vansh Agarwal Student ★★★★★ "My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative." Sonam Oswal Parent of Dhairya ★★★★★ "Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation." Sonu Goyal Parent ★★★★★ "I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding." Ritu Kedia Parent Questions from parents ## AP Precalculus: what students and parents ask ### When is the AP Precalculus exam in 2027? College Board schedules it for Tuesday, May 11, 2027, in Session 1. For most US schools, Session 1 starts at 8 a.m. local time. ### How long is the AP Precalculus exam? 2 hours and 55 minutes: 42 multiple-choice questions in 1 hour 45 minutes, then four free-response questions in 1 hour 10 minutes. ### What units are on the AP Precalculus exam? Units 1, 2 and 3: polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions. Unit 4, on parameters, vectors and matrices, is not assessed. ### Do I need a graphing calculator for AP Precalculus? Yes. A graphing calculator is required for multiple-choice Part B and free-response Part A, in radian mode, and not permitted on the other two parts. College Board lists approved models on its calculator policy page. ### How much of the exam is without a calculator? Adding College Board's published shares, multiple-choice Part A (43.75 percent) and free-response Part B (18.75 percent) make 62.5 percent of the score with no calculator allowed. ### What are the free-response questions on AP Precalculus? Four, each worth 6 points: Function Concepts, Modeling a Non-Periodic Context, Modeling a Periodic Context and Symbolic Manipulations. The first two allow a graphing calculator; the last two do not. ### Is AP Precalculus the same as regular precalculus? College Board designs it as the equivalent of a first-semester college precalculus course, with a set framework and an end-of-course exam. Regular precalculus varies by school and has no AP Exam. ### Can AP Precalculus earn college credit? It can, depending on the college. College Board says qualifying scores may earn credit, placement or both, and its AP Credit Policy Search shows each college's rule. ### What should my child know before AP Precalculus? College Board lists the Algebra 1, Geometry and Algebra 2 sequence, including quadratics, factoring, right-triangle trigonometry, systems of equations, exponent rules, radicals and complex numbers. ### Which days and times can my child take classes? Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. ### Are you affiliated with College Board? No. Modern Age Coders is an independent tutoring school. AP and Advanced Placement are College Board trademarks, and College Board has no connection with our classes. Elsewhere on this site ## More high school math help The courses on either side of AP Precalculus, and help by grade. ### [Precalculus tutoring](/precalculus-tutoring-online) For non-AP precalculus courses. ### [AP Calculus tutoring](/ap-calculus-tutoring-online) AB and BC, the year after. ### [AP Statistics tutoring](/ap-statistics-tutoring-online) The other AP exam on May 11. ### [Algebra 2 tutoring](/algebra-2-tutoring-online) The prerequisite College Board lists. ### [11th grade math tutor](/online-math-tutor-11th-grade) The usual year for AP Precalculus. ### [10th grade math tutor](/online-math-tutor-10th-grade) For students taking it early. ## Related pages in this guide Part of the guide: [US math placement and college readiness tests](/us-math-placement-and-college-readiness-tests) ### High school math courses - [Integrated Math 1 tutoring](/integrated-math-1-tutoring) - [Integrated Math 2 tutoring](/integrated-math-2-tutoring) - [Integrated Math 3 tutoring](/integrated-math-3-tutoring) - [Trigonometry tutoring online](/trigonometry-tutoring-online) - [Statistics tutoring online](/statistics-tutoring-online) ### School placement and growth tests - [MAP Growth math test prep](/map-growth-math-test-prep) - [i-Ready math help](/i-ready-math-help) - [Middle school math placement test prep](/middle-school-math-placement-test-prep) - [Accelerated math program online](/accelerated-math-program-online) ### PSAT and PreACT - [PSAT 8/9 and PSAT 10 math prep](/psat-8-9-math-prep) - [PSAT math prep](/psat-math-prep) - [PreACT math prep](/preact-math-prep) - [SAT math tutoring online](/sat-math-tutoring-online) - [ACT math tutoring online](/act-math-tutoring-online) ### College placement and credit - [ACCUPLACER math prep](/accuplacer-math-prep) - [ALEKS math placement test prep](/aleks-math-placement-test-prep) - [TSIA2 math prep](/tsia2-math-prep) - [CLEP College Algebra prep](/clep-college-algebra-prep) - [CLEP Calculus prep](/clep-calculus-prep) - [Dual enrollment math help](/dual-enrollment-math-help) More guides: [US state math tests by state](/us-state-math-tests-by-state) · [US gifted and selective school tests](/us-gifted-and-selective-school-tests-guide) · [Homeschool and school math curricula guide](/homeschool-math-curriculum-guide-usa) · [US math and coding competitions guide](/us-math-and-coding-competitions-guide) Start here ## Book a free first lesson Tell us which unit the class is on and your child's grade. 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