🎓 Ages 15–18 · Grades 9–12 · Calculus

CalcQuest

Calculus makes sense when you predict the answer and then see the rule that produces it. Here you read a scenario — a limit, a slope, an area under a curve — commit to a value, and a deterministic engine computes the exact result and shows the working. No jargon, nothing sent anywhere, and a wrong prediction is just where the intuition starts.

The Calculus Lab ★ the main event

Read a scenario across limits, derivatives, rates of change, and definite integrals — predict the value, then a pure engine computes it exactly and walks the rule. Because it’s computed, not animated, the answer is always right.

Open the Calculus Lab →

The Limit Lab ➡️ read the table, predict the limit

A limit is about where a function is HEADING as x closes in — not its value at the point. Read a two-sided table of f(x), predict the limit, then see the cases that trip everyone up: a limit that exists at a 0/0 hole, a limit that differs from f at the point, and a jump where the two sides disagree so the limit doesn’t exist at all.

Open the Limit Lab →

Who you’ll meet

Not mascots — everyday mathematicians, each showing one idea in action. You’ll run into them across the lab and the kits.

  • 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

Check what you know

Sixteen short kits — functions & rates, limits, continuity, the derivative, derivative rules, optimization, related rates, antiderivatives, Riemann sums, the definite integral, the Fundamental Theorem, and more — anchored to AP Calculus. Hints when you want them; progress stays on this device.

1. Functions & Rates Functions & average rate of change — precalculus foundation · 25 questions 2. Limits Limits — the value a function approaches · 25 questions 3. Continuity Continuity — where a function is unbroken · 25 questions 4. The Derivative The derivative — instantaneous rate of change · 25 questions 5. Derivative Rules Differentiation rules — power, product, quotient, chain · 25 questions 6. Interpreting Derivatives Interpreting f′ and f″ — slope, monotonicity, concavity · 25 questions 7. Optimization & Extrema Optimization — finding maxima and minima · 25 questions 8. Related Rates Related rates — linked changing quantities · 25 questions 9. Antiderivatives Antiderivatives — reversing differentiation · 25 questions 10. Riemann Sums Riemann sums — accumulation as adding up pieces · 25 questions 11. The Definite Integral The definite integral — accumulation as a total · 25 questions 12. Fundamental Theorem The Fundamental Theorem of Calculus — the derivative–integral link · 25 questions 13. Function Transformations Function transformations — shifting and scaling graphs · 25 questions 14. Exponential & Log Exponential and logarithmic functions — growth, decay, e and ln · 25 questions 15. Sequences & Series Sequences and series — convergence and divergence · 25 questions 16. Capstone: Model the Change Capstone — integrating rates and accumulation on real models · 25 questions

How it works

CalcQuest trusts you — it’s about reasoning with the rules, not memorizing them, and a wrong prediction is just a place to learn. Every answer is computed by a small deterministic engine (no server, nothing sent anywhere). Your progress is saved only on this device: no accounts, no ads.

Mixed practice — revisit what you've learned A short round that shuffles questions across the kits you've played, brought back when they're ready to review (spaced out so it sticks).