Grade 12
Grade 12 AP Calculus AB
8 units and 42 learning lessons. This is the outline a Grade 12 student works through in AP Calculus AB — the lessons themselves are taught inside OHM School, adapted to how each child is doing.
About this outline: the listed lessons are part of the available learning path. A lesson appearing here does not mean its standards mapping or assessment evidence has completed educator review. See the evidence and review methodology.
Grade 12 AP Calculus AB
OHM School · Grade 12
AP Calculus AB
8 units · 42 lessons
It opens with Limits and Continuity and closes with Applications of Integration.
All units
All units
Lessons
Unit 1 of 8
Limits and Continuity
7 lessons
Lessons
- 1Understanding Limits
- 2Limits from Graphs and Tables
- 3Evaluating Limits Algebraically
- 4The Squeeze Theorem
- 5Limits at Infinity and Asymptotes
- 6Continuity
- 7The Intermediate Value Theorem
Unit 2 of 8
Differentiation: Definition and Basic Rules
6 lessons
Lessons
- 1The Concept of the Derivative
- 2The Derivative as a Limit
- 3Differentiability and Continuity
- 4Basic Differentiation Rules
- 5Product and Quotient Rules
- 6Derivatives of Trig, Exponential, and Log Functions
Unit 3 of 8
Composite, Implicit, and Inverse Functions
4 lessons
Lessons
- 1The Chain Rule
- 2Implicit Differentiation
- 3Derivatives of Inverse Functions
- 4Higher-Order Derivatives
Unit 4 of 8
Contextual Applications of Differentiation
5 lessons
Lessons
- 1Derivatives as Rates of Change
- 2Straight-Line Motion
- 3Related Rates
- 4Linearization
- 5L'Hospital's Rule
Unit 5 of 8
Analytical Applications of Differentiation
5 lessons
Lessons
- 1Mean Value and Extreme Value Theorems
- 2Increasing, Decreasing, and Extrema
- 3Concavity and the Second Derivative
- 4Sketching Curves
- 5Optimization
Unit 6 of 8
Integration and Accumulation of Change
5 lessons
Lessons
- 1Accumulation and Riemann Sums
- 2The Definite Integral
- 3The Fundamental Theorem of Calculus
- 4Antiderivatives and Indefinite Integrals
- 5Integration by Substitution
Unit 7 of 8
Differential Equations
4 lessons
Lessons
- 1Modeling with Differential Equations
- 2Slope Fields
- 3Separation of Variables
- 4Exponential Growth and Decay
Unit 8 of 8
Applications of Integration
6 lessons
Lessons
- 1Average Value of a Function
- 2Motion Using Integrals
- 3Accumulation in Context
- 4Area Between Curves
- 5Volumes with Cross Sections
- 6Volumes of Revolution
How it is taught
The whole subject, in the order a child meets it.
- What is covered8 units and 42 lessons, every one of them in the book above: this is the whole of AP Calculus AB in Grade 12, not a sample.
- Taught in orderA lesson unlocks when the one before it is mastered, and review is scheduled from what the child has actually shown rather than on a fixed timetable.
- Kept currentThese titles are read from the live curriculum, so what is in this book is what a Grade 12 student would work through today.
The Grade 12 shelf
More books in Grade 12
Getting started
Want your child taught this?
OHM School teaches every lesson above with adaptive tutoring, mastery practice, and progress a parent can actually see.
