For teachers

How to assign it

• Stable links. Each lesson, notes page, unit sheet and free-response question has a permanent address, such as levlprep.com/calculus/notes/<topic>.html. Links do not expire and need no account.
• Question sets. practice.html?topic=<topic> opens practice on one topic, practice.html?unit=unit-1 on 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

• Medicine in the blood: rates from data and from a model Rate in context from a table, calculator, 9 points
• Oil pumped into a tanker truck Rate in context from a table, no calculator, 9 points
• Sand delivered to a construction site Rate in context from a table, calculator, 9 points
• Greenhouse temperature: average rate, Mean Value Theorem and extremes Modeling with a given function, calculator, 9 points
• Water pumped into and drained from a tank Modeling with a given function, calculator, 9 points
• Two particles on a line: direction and speed Particle motion, no calculator, 9 points
• A particle with velocity 4cos(0.9t) - 0.2t Particle motion, calculator, 9 points
• A particle whose velocity is given by a graph Particle motion, no calculator, 9 points
• A region between a parabola and an exponential curve Area and volume, calculator, 9 points
• A region bounded by a logarithm, a line and the x-axis Area and volume, calculator, 9 points
• A region between two parabolas Area and volume, no calculator, 9 points
• Water draining from a tank Differential equation and slope field, no calculator, 9 points
• Solution curves on a slope field with an equilibrium line Differential equation and slope field, no calculator, 9 points
• Slope field, tangent line and separation for dy/dx = x(4 - y) Differential equation and slope field, no calculator, 9 points
• Graph of the derivative: extrema, concavity and a tangent line Graph of f′ or graphical FTC, no calculator, 9 points
• Graphical FTC: lines and a semicircle, with a limit Graph of f′ or graphical FTC, no calculator, 9 points
• Graphical FTC with a lower limit inside the interval Graph of f′ or graphical FTC, no calculator, 9 points
• A tilted oval: tangent lines and a moving point Implicit differentiation and related rates, no calculator, 9 points
• A cubic curve: approximation, no horizontal tangents, and a particle Implicit differentiation and related rates, no calculator, 9 points
• Two functions from a table: product, quotient, tangent line and a limit Table of f, g and their derivatives, no calculator, 9 points
• A table of f and its derivative: the theorems and a tangent line Table of f, g and their derivatives, no calculator, 9 points

All free-response practice

Alignment with the course framework

The units and topics follow the order of the course framework (Calculus AB topics only; the BC-only topics are left out), mapped to our lessons. Titles and explanations are in our own words; nothing reproduces the framework's text. The course is in Beta: it has not yet been reviewed by an AP® Calculus AB teacher.

Skills

Each math topic sits right before the framework topic that first needs it.