Pre-CalculusGrade 11/12Ron Larson

Chapter Title / Description: Section Titles / Timeline
Chapter 1 - Functions and Their Graphs / 1.1Rectangular Coordinates
1.2Graphs of Equations
1.3Linear Equations in Two Variables
1.4Functions
1.5Analyzing Graphs of Functions
1.6A Library of Parent Functions
1.7Transformations of Functions
1.8Combinations of Functions: Composite Functions
1.9Inverse Functions
1.10Mathematical Modeling and Variation / September
6 block days
Chapter 2 - Polynomial and Rational Functions / 2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial and Synthetic Division
2.4 Complex Numbers
2.5 Zeros of Polynomial Functions
2.6 Rational Functions
2.7 Nonlinear Inequalities / September-October
5 block days
Chapter 3 - Exponential and Logarithmic Functions / 3.1Exponential Functions and Their Graphs
3.2Logarithmic Functions and Their Graphs
3.3Properties of Logarithms
3.4Exponential and Logarithmic Equations
3.5Exponential and Logarithmic Models / October
6 block days
Chapter 4 - Trigonometry / 4.1Radian and Degree Measure
4.2Trigonometric Functions: The Unit Circle
4.3Right Triangle Trigonometry
4.4Trigonometric Functions of Any Angle
4.5Graphs of Sine and Cosine Functions
4.6Graphs of Other Trigonometric Functions
4.7Inverse Trigonometric Functions
4.8Applications and Models / November
8 block days
Chapter 5 - Analytic Trigonometry / 5.1Using Fundamental Identities
5.2Verifying Trigonometric Identities
5.3Solving Trigonometric Equations
5.4Sum and Difference Formulas
5.5Multiple-Angle and Product-to-Sum Formulas / December
6 block days
Chapter 6 - Additional Topics inTrigonometry / 6.1Law of Sines
6.2Law of Cosines
6.3Vectors in the Plane
6.4Vectors and Dot Products
6.5Trigonometric Form of a Complex Number / December-January
5 block days
Chapter 7 - Systems of Equations and Inequalities / 7.1Linear and Nonlinear Systems of Equations
7.2Two-Variable Linear Systems
7.3Multivariable Linear Systems
7.4Partial Fractions
7.5Systems of Inequalities
7.6Linear Programming / January
6 block days
Chapter 8 - Matrices and Determinants / 8.1Matrices and Systems of Equations
8.2Operations with Matrices
8.3The Inverse of a Square Matrix
8.4The Determinant of a Square Matrix
8.5Applications of Matrices and Determinant / February
7 block days
Chapter 9 - Sequences, Series, and Probability / 9.1 Sequences and Series
9.2 Arithmetic Sequences and Partial
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
9.6 Counting Principles
9.7 Probability / February-March
9 block days
Chapter 10Topics in Analytic Geometry / 10.1Lines
10.2Introduction to Conics: Parabolas
10.3Ellipses
10.4Hyperbolas
10.5Rotation of Conics
10.6Parametric Equations
10.7Polar Coordinates
10.8Graphs of Polar Equations
10.9Polar Equations of Conics / March- April
10 block days
Chapter 11 - Analytic Geometry inThree Dimensions / 11.1The Three-Dimensional Coordinate System
11.2Vectors in Space
11.3The Cross Product of Two Vectors
11.4Lines and Planes in Space / April
5 block days
Chapter 12- Limits and an Introduction to Calculus / 12.1Introduction to Limits
12.2Techniques for Evaluating Limits
12.3The Tangent Line Problem
12.4Limits at Infinity and Limits of Sequences
12.5The Area Problem / April-May
6 block days
Chapter 13- Concepts in Statistics / 13.1Representing Data
13.2Analyzing Data
13.3Modeling Data / May
4 block days