High school
Grade 12 curriculum
Grade 12 at OHM School covers 6 subjects — AP Calculus AB, Earth and Space Science, Electives & CTE, English IV / AP English Literature, Pre-Calculus and U.S. Government & Economics — across 217 learning lessons, mapped to California academic standards (AP Calculus AB to the College Board's AP course framework). It also includes 6 SI-ready courses — Meta-Learning & Cognitive Science, Advanced AI Development, Startup Incubator, Behavioral Psychology & Interpersonal Dynamics, Consciousness & Philosophical Frameworks and Geopolitics & Future Studies — from OHM's SI readiness programme. Every subject is a book on the shelf below: open one to see its units and the lessons inside each unit.
- Subjects
- 6
- SI-ready courses
- 6
- Units
- 44
- Learning lessons
- 217
Tap a book to take it down and open it: its units, and every lesson inside them.
6 subjects
6 SI-ready
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.
See the full pageAll 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
Grade 12 Earth and Space Science
- Stars and the Universe
- Earth's History and Interior
- Earth's Systems
- Climate
- Natural Hazards
- Resources, Sustainability, and Human Impact
- Engineering for Global Challenges
Grade 12 Electives & CTE
- Capstone CTE Pathway: Certification Prep
- Visual Arts: Fine Arts Portfolio
- Internship: Career Readiness Capstone
- Health: Transition to Adulthood
- Physical Education: Lifelong Activity
- Computer Science: Capstone Project
Grade 12 English IV / AP English Literature
- British and World Classics
- Shakespearean Tragedy
- Poetry Interpretation
- Advanced Critical Literary Theory
- Reading Informational Texts
- Argument and Research
- Capstone Writing
- Speaking and Listening
- Language and Style
Grade 12 Pre-Calculus
- Functions and Their Graphs
- Exponential and Logarithmic Functions
- Trigonometric Functions and the Unit Circle
- Trigonometric Identities and Vectors
- Complex Numbers in the Plane
- Matrices
- Conic Sections
- Polar Coordinates and Parametric Equations
- Series and an Introduction to Limits
Grade 12 U.S. Government & Economics
- The Constitution and Federal Government
- Rights, Liberties, and the Courts
- Politics and Participation
- Microeconomics
- Macroeconomics
Grade 12 Meta-Learning & Cognitive Science
- Lifelong Learner
Grade 12 Advanced AI Development
- Choosing and Shipping
- Capstone Build
- Your Path in AI
Grade 12 Startup Incubator
- Capstone Launch
Grade 12 Behavioral Psychology & Interpersonal Dynamics
- Understanding Others
Grade 12 Consciousness & Philosophical Frameworks
- Meaning and Values
Grade 12 Geopolitics & Future Studies
- Shaping the Future
About this outline: these lessons form the available learning path. Educator approval of standards mappings and assessment evidence is a separate review. See the evidence and review methodology.
How Grade 12 is taught
A list of units is not a way of teaching them.
- Taught in orderLessons unlock as the one before is mastered, so a Grade 12 student is never moved on from something they have not understood.
- Adapted per childThe same 217 lessons are taught at the reading level and pace each child is actually working at.
- Visible to a parentProgress is recorded as mastery of specific concepts, not as lessons ticked off, and a guardian follows it from their own dashboard.
Getting started
Want your child taught Grade 12?
OHM School teaches every unit above with adaptive tutoring, mastery practice, and progress a parent can actually see.
