Before you start
Start here
The Calculus Lab Read a scenario — a limit, a slope, an area — predict the value, then a pure engine computes it exactly. 
The Limit Lab Read a two-sided table, predict where the function is heading, then see the cases that trip everyone up. 
Teach the Cast Teach a calculus idea to a peer still learning it — teaching makes it stick. 
Concept Practice 16 kits from functions & rates through the Fundamental Theorem — anchored to AP Calculus. All activities
Explore & predict
The Calculus Lab Limits, derivatives, rates of change, and definite integrals — predict, then a pure engine computes it and walks the rule. The Limit Lab A limit is where a function is HEADING — read the table, predict the limit, meet the 0/0 holes and jumps. Area by Rectangles Cover the area under a curve with rectangles (a Riemann sum), predict whether it over- or under-shoots, then add thinner ones and watch the estimate close in on the exact integral. Reading the Slope Read the graph of f, predict whether it is rising, falling, or momentarily level at a marked point, then see the derivative sign chart — the height of the point is a decoy; the direction sets the sign of f′.
Practice & teach
Concept Practice Sixteen short kits across AP Calculus, with hints when you want them. Teach the Cast A near-peer mathematician is still learning an idea — teach it and catch their misconception. Mixed Practice A short round across the kits you’ve played, brought back to review (spaced so it sticks). Progress Your levels and how each strand is coming along — saved only on this device.
Concept Kits — 16 kits of calculus
Kit 1: Functions & Rates Functions & average rate of change — precalculus foundation · 25 questions Kit 2: Limits Limits — the value a function approaches · 25 questions Kit 3: Continuity Continuity — where a function is unbroken · 25 questions Kit 4: The Derivative The derivative — instantaneous rate of change · 25 questions Kit 5: Derivative Rules Differentiation rules — power, product, quotient, chain · 25 questions Kit 6: Interpreting Derivatives Interpreting f′ and f″ — slope, monotonicity, concavity · 25 questions Kit 7: Optimization & Extrema Optimization — finding maxima and minima · 25 questions Kit 8: Related Rates Related rates — linked changing quantities · 25 questions Kit 9: Antiderivatives Antiderivatives — reversing differentiation · 25 questions Kit 10: Riemann Sums Riemann sums — accumulation as adding up pieces · 25 questions Kit 11: The Definite Integral The definite integral — accumulation as a total · 25 questions Kit 12: Fundamental Theorem The Fundamental Theorem of Calculus — the derivative–integral link · 25 questions Kit 13: Function Transformations Function transformations — shifting and scaling graphs · 25 questions Kit 14: Exponential & Log Exponential and logarithmic functions — growth, decay, e and ln · 25 questions Kit 15: Sequences & Series Sequences and series — convergence and divergence · 25 questions Kit 16: Capstone: Model the Change Capstone — integrating rates and accumulation on real models · 25 questions
More ways to play
Who you’ll meet
- Nayeli — reads a rate of change off a function (rates)
- Vela — finds the value a function approaches (limits)
- Ilse — checks where a function is unbroken (continuity)
- Leda — finds the max or min where the rate turns (optimization)
- Maren — links two changing quantities (related rates)
- Rasmus — adds up pieces into a total (Riemann sums & integrals)
- Thessaly — shifts and scales graphs (transformations)
- Soraya — tells whether a series converges
- Adaeze — the mentor — predict, compute, then reason about why