AP® Precalculus · For teachers
Assign it with a link.
no login for students
Share any notes page, lesson or unit sheet with a stable link. Students need no account, and nothing they do leaves their device unless they choose to sign in.
How to assign it
- Stable links. Each lesson, notes page, unit sheet and free-response question has a permanent address, such as
levlprep.com/precalculus/. Links do not expire and need no account.notes/<topic>.html - Question sets.
practice.html?topic=<topic>opens practice on one topic,practice.html?unit=unit-1on a whole unit. Students get feedback and an explanation for every option. The practice page can also print a set as a worksheet. - Free-response questions. Each has its own page with the prompt, the data and a printable answer sheet with lined space. Students write, then reveal the rubric and score themselves point by point. Nothing is graded by AI.
- Printing. Each lesson, notes page, unit sheet and free-response question has a Print button. A lesson prints all its parts in one run; a free-response question prints with lined answer space, and its rubric can print on a separate page.
- Google Classroom. The "Share to Google Classroom" button on each of those pages posts the link to your class.
No login for students
Students open a link and start. They need no account, and nothing they do leaves their device unless they choose to sign in. Progress, answers and scores are stored in their own browser, and typed free-response answers stay on the device they were written on.
Privacy, in short: no ads, no cookies, no tracking across other sites, and no new personal data collected from students. The site uses cookieless analytics and sends a short report when a page breaks. Details are on the privacy page.
Access for teachers and classes
Every notes page, the glossary and the unit sheets are free. Teachers can ask for free access to the rest of the course: email [email protected] from your school address. Ask about discounts for classes at the same address.
Free-response questions
- A table, a cubic and a model type justified Q1: Function Concepts, calculator, 6 points
- An increasing function and a logarithmic function Q1: Function Concepts, calculator, 6 points
- A rational function with a hole and two asymptotes Q1: Function Concepts, calculator, 6 points
- A table, a cubic and an inverse Q1: Function Concepts, calculator, 6 points
- A trigonometric function and a graph: composites, every solution, and an inverse Q1: Function Concepts, calculator, 6 points
- Cooling coffee: two models compared with residuals Q2: Modeling a Non-Periodic Context, calculator, 6 points
- An open box folded from a sheet of cardboard Q2: Modeling a Non-Periodic Context, calculator, 6 points
- A car losing value: an exponential model Q2: Modeling a Non-Periodic Context, calculator, 6 points
- Video game sales that level off Q2: Modeling a Non-Periodic Context, calculator, 6 points
- Festival attendance: a quadratic model Q2: Modeling a Non-Periodic Context, calculator, 6 points
- A Ferris wheel seat Q3: Modeling a Periodic Context, no calculator, 6 points
- A weight on a spring Q3: Modeling a Periodic Context, no calculator, 6 points
- High and low tide at a dock Q3: Modeling a Periodic Context, no calculator, 6 points
- A point on a waterwheel Q3: Modeling a Periodic Context, no calculator, 6 points
- Exponential and logarithmic equations and a single logarithm Q4: Symbolic Manipulations, no calculator, 6 points
- An equation quadratic in e to the x, and single-term forms Q4: Symbolic Manipulations, no calculator, 6 points
- Inverse cosine values and a sum rewritten as a single sine term Q4: Symbolic Manipulations, no calculator, 6 points
- Inverse trigonometric ranges and an expression rewritten as a single tangent Q4: Symbolic Manipulations, no calculator, 6 points
- Inverse trigonometric values and trigonometric equations on an interval Q4: Symbolic Manipulations, no calculator, 6 points
Alignment with the course framework
The units and topics follow the order of the course framework, mapped to our lessons. Unit 4 is not on the exam; it is here, marked "beyond the exam", because many classes teach it. Titles and explanations are in our own words; nothing reproduces the framework's text. It has not yet been reviewed by an AP® Precalculus teacher.
Unit 1: Polynomial and Rational Functions 30–40% of the exam
Unit page · Printable unit sheet · Question set for the unit · Unit test
Unit 2: Exponential and Logarithmic Functions 25–40% of the exam
Unit page · Printable unit sheet · Question set for the unit · Unit test
Unit 3: Trigonometric and Polar Functions 30–35% of the exam
Unit page · Printable unit sheet · Question set for the unit · Unit test
Unit 4: Functions Involving Parameters, Vectors, and Matrices beyond the exam
Unit page · Printable unit sheet · Question set for the unit
| Topic | Lesson | Assign |
|---|---|---|
| 4.1 | Parametric Functions | Notes · Question set |
| 4.2 | Parametric Functions Modeling Planar Motion | Notes · Question set |
| 4.3 | Parametric Functions and Rates of Change | Notes · Question set |
| 4.4 | Parametrically Defined Circles and Lines | Notes · Question set |
| 4.5 | Implicitly Defined Functions | Notes · Question set |
| 4.6 | Conic Sections | Notes · Question set |
| 4.7 | Parametrization of Implicitly Defined Functions | Notes · Question set |
| 4.8 | Vectors | Notes · Question set |
| 4.9 | Vector-Valued Functions | Notes · Question set |
| 4.10 | Matrices | Notes · Question set |
| 4.11 | The Inverse and Determinant of a Matrix | Notes · Question set |
| 4.12 | Linear Transformations and Matrices | Notes · Question set |
| 4.13 | Matrices as Functions | Notes · Question set |
| 4.14 | Matrices Modeling Contexts | Notes · Question set |
Skills
Each algebra topic sits right before the framework topic that first needs it.
Algebra you need
Unit page · Printable unit sheet · Question set for the unit
| Topic | Lesson | Assign |
|---|---|---|
| Skill | Functions, Graphs and Notation | Notes · Question set |
| Skill | Interval Notation and Inequalities | Notes · Question set |
| Skill | Lines, Slope and Linear Equations | Notes · Question set |
| Skill | Quadratics: Zeros and the Quadratic Formula | Notes · Question set |
| Skill | Polynomial Arithmetic and Factoring | Notes · Question set |
| Skill | Complex Numbers | Notes · Question set |
| Skill | Rational Expressions | Notes · Question set |
| Skill | Systems of Equations | Notes · Question set |
| Skill | Exponent and Radical Rules | Notes · Question set |
| Skill | Right-Triangle Trigonometry | Notes · Question set |
| Skill | Circles, Arcs and Special Triangles | Notes · Question set |
Questions are original and never copied from released exams or course materials.