Grade 12
Grade 12 Pre-Calculus
9 units and 40 learning lessons. This is the outline a Grade 12 student works through in Pre-Calculus — 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 Pre-Calculus
OHM School · Grade 12
Pre-Calculus
9 units · 40 lessons
It opens with Functions and Their Graphs and closes with Series and an Introduction to Limits.
All units
All units
Lessons
Unit 1 of 9
Functions and Their Graphs
6 lessons
Lessons
- 1Analyzing Functions
- 2Rational Functions and Asymptotes
- 3Operations on Rational Expressions
- 4Composition of Functions
- 5Inverse Functions Revisited
- 6Polynomial Zeros
Unit 2 of 9
Exponential and Logarithmic Functions
4 lessons
Lessons
- 1Exponents and Logarithms as Inverses
- 2Logarithmic and Exponential Models
- 3The Number e and Natural Logarithms
- 4Solving Logarithmic Equations
Unit 3 of 9
Trigonometric Functions and the Unit Circle
7 lessons
Lessons
- 1Special Angles
- 2Symmetry and Periodicity
- 3Inverse Trigonometric Functions
- 4Solving Trigonometric Equations
- 5Graphing Sinusoids
- 6Graphs of Tangent and Reciprocal Functions
- 7Laws of Sines and Cosines in Applications
Unit 4 of 9
Trigonometric Identities and Vectors
6 lessons
Lessons
- 1Trigonometric Identities
- 2Sum and Difference Formulas
- 3Double-Angle and Half-Angle Formulas
- 4Introduction to Vectors
- 5Vector Operations
- 6Vectors in Applications
Unit 5 of 9
Complex Numbers in the Plane
5 lessons
Lessons
- 1Conjugates, Moduli, and Quotients
- 2Polar Form
- 3Geometry of Complex Operations
- 4Distance and Midpoint in the Complex Plane
- 5The Fundamental Theorem of Algebra
Unit 6 of 9
Matrices
4 lessons
Lessons
- 1Matrices and Data
- 2Matrix Operations
- 3Identity, Zero, and Inverse Matrices
- 4Systems as Matrix Equations
Unit 7 of 9
Conic Sections
2 lessons
Lessons
- 1Ellipses
- 2Hyperbolas
Unit 8 of 9
Polar Coordinates and Parametric Equations
3 lessons
Lessons
- 1Polar Coordinates
- 2Graphing Polar Equations
- 3Parametric Equations
Unit 9 of 9
Series and an Introduction to Limits
3 lessons
Lessons
- 1Infinite Geometric Series
- 2Sigma Notation and Series
- 3An Introduction to Limits
How it is taught
The whole subject, in the order a child meets it.
- What is covered9 units and 40 lessons, every one of them in the book above: this is the whole of Pre-Calculus 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.
