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Calc AB · Learn
37 lessons in 8 units, about 58 h 15 min of reading and core practice. Each lesson ends with a quick check.
Unit 1
Students build the central ideas of calculus by analyzing change, limits, continuity, and asymptotic behavior across graphical, numerical, analytical, and verbal representations.
5 lessons · 7 h 45 min of study · ≈11% of the test
Unit 2
Students define the derivative as a limit, interpret derivatives numerically and graphically, and develop the foundational differentiation rules and differentiability ideas.
4 lessons · 6 h 45 min of study · ≈11% of the test
Unit 3
Students extend differentiation to composite, implicit, inverse, exponential, logarithmic, and inverse trigonometric functions and learn to choose efficient derivative procedures.
4 lessons · 6 h 45 min of study · ≈11% of the test
Unit 4
Students apply derivatives to real-world situations, especially interpreting rates, analyzing motion, solving related-rates problems, and using local linearity.
4 lessons · 6 h of study · ≈12% of the test
Unit 5
Students use derivatives to analyze function behavior rigorously, including extrema, monotonicity, concavity, theorem-based arguments, curve sketching, and optimization.
5 lessons · 8 h 30 min of study · ≈17% of the test
Unit 6
Students develop the definite integral as accumulation, use Riemann sums and properties of integrals, apply the Fundamental Theorem of Calculus, and find antiderivatives within AB scope.
6 lessons · 9 h 45 min of study · ≈19% of the test
Unit 7
Students interpret, model, and solve differential equations within AB scope, emphasizing slope fields, separable equations, and standard growth models.
5 lessons · 6 h 15 min of study · ≈10% of the test
Unit 8
Students apply integrals to geometric and contextual problems, including area, volume, average value, and motion quantities accumulated from rates.
4 lessons · 6 h 30 min of study · ≈11% of the test
Start here
Unit 1: Limits and continuity · Lesson 1 of 5
Introduce calculus through change over an interval and change at an instant. Students connect secant-line slope, tangent-line slope, and contextual rate language.
1 h 15 min of study≈2% of the test
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