Precalculus prepares students for calculus: functions and inverses, polynomial, rational, exponential and logarithmic models, trigonometry and identities, vectors, complex numbers in polar form, matrices, conic sections, series and counting.
Precalculus math chapters
Chapter 1
Functions: Domain, Range, Composition and Inverses
F-IF.A.1 · F-BF.A.1c · F-BF.B.4b · F-BF.B.4c · F-BF.B.4d
Chapter 2
Polynomial and Rational Functions in Depth
A-APR.B.2 · A-APR.B.3 · F-IF.C.7c · F-IF.C.7d · N-CN.C.9
Chapter 3
Exponential and Logarithmic Functions and Models
F-LE.A.4 · F-BF.B.5 · F-IF.C.8b
Chapter 4
Angles, Radians and the Unit Circle
F-TF.A.1 · F-TF.A.2 · F-TF.A.3 · F-TF.A.4
Chapter 5
Graphs of Trigonometric Functions
F-TF.B.5 · F-IF.C.7e · F-BF.B.3
Chapter 6
Inverse Trigonometric Functions and Trigonometric Equations
F-TF.B.6 · F-TF.B.7
Chapter 7
Trigonometric Identities
F-TF.C.8 · F-TF.C.9
Chapter 8
Laws of Sines and Cosines and Triangle Area
G-SRT.D.9 · G-SRT.D.10 · G-SRT.D.11
Chapter 9
Vectors in the Plane
N-VM.A.1 · N-VM.A.2 · N-VM.A.3 · N-VM.B.4 · N-VM.B.5
Chapter 10
Complex Numbers in Polar Form
N-CN.B.4 · N-CN.B.5 · N-CN.B.6 · N-CN.A.3
Chapter 11
Polar Coordinates and Parametric Equations
N-CN.B.4 · F-IF.C.7
Chapter 12
Matrices and Matrix Operations
N-VM.C.6 · N-VM.C.7 · N-VM.C.8 · N-VM.C.9 · N-VM.C.10
Chapter 13
Solving Systems with Matrices
A-REI.C.8 · A-REI.C.9 · N-VM.C.11 · N-VM.C.12
Chapter 14
Conic Sections: Parabolas, Ellipses and Hyperbolas
G-GPE.A.1 · G-GPE.A.2 · G-GPE.A.3
Chapter 15
Series, Binomial Theorem and an Introduction to Limits
A-APR.C.5 · A-SSE.B.4 · F-BF.A.2
Chapter 16
Counting, Permutations, Combinations and Probability
S-CP.B.8 · S-CP.B.9 · S-MD.A.1 · S-MD.A.2
Chapter 17
Expected Value and Decisions
S-MD.A.3 · S-MD.A.4 · S-MD.B.5
Chapter 18
Complex Factorization and Volume of a Sphere
N-CN.C.8 · G-GMD.A.2