Precalculus Plus Integrated Review

Paul Sisson

This courseware provides students with curriculum-level precalculus skills integrated with applicable review lessons. This course offers lessons familiar to students entering from a college algebra course, preparing them for the more advanced topics they will cover in a subsequent calculus course while also targeting specific remediation needs for just-in-time supplementation of foundational concepts.

Formats: Software, Textbook, Guided Notebook

Product ISBN
Courseware 978-1-64277-063-6
Courseware + Precalculus Textbook 978-1-64277-064-3
Courseware + Precalculus Guided Notebook 978-1-64277-065-0

Table of Contents

  1. 0: Strategies for Academic Success
    1. 0.1 How to Read a Math Textbook
    2. 0.2 Tips for Success in a Math Course
    3. 0.3 Tips for Improving Math Test Scores
    4. 0.4 Practice, Patience, and Persistence!
    5. 0.5 Note Taking
    6. 0.6 Do I Need a Math Tutor?
    7. 0.7 Tips for Improving Your Memory
    8. 0.8 Overcoming Anxiety
    9. 0.9 Online Resources
    10. 0.10 Preparing for a Final Math Exam
    11. 0.11 Managing Your Time Effectively
  2. Chapter 1.R: Integrated Review
    1. 1.R.1 Exponents, Prime Numbers, and LCM
    2. 1.R.2 Reducing Fraction to Lowest Terms
    3. 1.R.3 Multiplication and Division with Fractions
    4. 1.R.4 Addition and Subtraction with Fractions
    5. 1.R.5 Decimals and Percents
    6. 1.R.6 Applications: Number Problems and Consecutive Integers
    7. 1.R.7 Proportions
    8. 1.R.8 Simplifying Radicals
  3. Chapter 1. Number Systems and Equations of One Variable
    1. 1.1a The Real Number System
    2. 1.1b The Arithmetic of Algebraic Expressions
    3. 1.2a Properties of Exponents
    4. 1.2b Scientific Notation and Geometric Problems Using Exponents
    5. 1.2c Properties of Radicals
    6. 1.2d Rational Number Exponents
    7. 1.3 Polynomials and Factoring
    8. 1.4 The Complex Number System
    9. 1.5a Linear Equations in One Variable
    10. 1.5b Applications of Linear Equations in One Variable
    11. 1.6 Linear Inequalities in One Variable
    12. 1.7a Quadratic Equations in One Variable
    13. 1.7b Higher Degree Polynomial Equations
    14. 1.8a Rational Expressions and Equations
    15. 1.8b Radical Equations
    16. Chapter 1 Review
  4. Chapter 2.R: Integrated Review
    1. 2.R.1 Square Roots and the Pythagorean Theorem
    2. 2.R.2 Formulas in Geometry
  5. Chapter 2. Introduction to Equations and Inequalities of Two Variables
    1. 2.1 The Cartesian Coordinate System
    2. 2.2 Linear Equations in Two Variables
    3. 2.3 Forms of Linear Equations
    4. 2.4 Parallel and Perpendicular Lines
    5. 2.5 Linear Inequalities in Two Variables
    6. 2.6 Introduction to Circles
    7. Chapter 2 Review
  6. Chapter 3.R: Integrated Review
    1. 3.R.1 Order of Operations with Real Numbers
    2. 3.R.2 Identifying Like Terms
    3. 3.R.3 Simplifying Expressions
    4. 3.R.4 Translating English Phrases and Algebraic Expressions
  7. Chapter 3. Relations, Functions, and Their Graphs
    1. 3.1 Relations and Functions
    2. 3.2a Linear and Quadratic Functions
    3. 3.2b Max/Min Applications of Quadratic Functions
    4. 3.3 Other Common Functions
    5. 3.4 Variation and Multi-Variable Functions
    6. 3.5 Transformations of Functions
    7. 3.6 Combining Functions
    8. 3.7 Inverses of Functions
    9. Chapter 3 Review
  8. Chapter 4.R: Integrated Review
    1. 4.R.1 Greatest Common Factor (GCF) of a Set of Terms
    2. 4.R.2 Factoring Trinomials by Grouping
    3. 4.R.3 Review of Factoring Techniques
    4. 4.R.4 Introduction to Rational Expressions
  9. Chapter 4. Polynomial Functions
    1. 4.1 Introduction to Polynomial Equations and Graphs
    2. 4.2 Polynomial Division and the Division Algorithm
    3. 4.3 Locating Real Zeros of Polynomials
    4. 4.4 The Fundamental Theorem of Algebra
    5. 4.5a Rational Functions
    6. 4.5b Rational Inequalities
    7. Chapter 4 Review
  10. Chapter 5.R: Integrated Review
    1. 5.R.1 Rules for Exponents
    2. 5.R.2 Power Rules for Exponents
    3. 5.R.3 Rational Exponents
  11. Chapter 5. Exponential and Logarithmic Functions
    1. 5.1 Exponential Functions and their Graphs
    2. 5.2 Applications of Exponential Functions
    3. 5.3 Logarithmic Functions and their Graphs
    4. 5.4 Properties and Applications of Logarithms
    5. 5.5 Exponential and Logarithmic Equations
    6. Chapter 5 Review
  12. Chapter 6.R: Integrated Review
    1. 6.R.1 Angles
    2. 6.R.2 Triangles
  13. Chapter 6. Trigonometric Functions
    1. 6.1 Radian and Degree Measure of Angles
    2. 6.2 Trigonometric Functions of Acute Angles
    3. 6.3 Trigonometric Functions of Any Angle
    4. 6.4 Graphs of Trigonometric Functions
    5. 6.5 Inverse Trigonometric Functions
    6. Chapter 6 Review
  14. Chapter 7. Trigonometric Identities and Equations
    1. 7.1 Fundamental Identities and their Uses
    2. 7.2 Sum and Difference Identities
    3. 7.3 Product - Sum Identities
    4. 7.4 Trigonometric Equations
    5. Chapter 7 Review
  15. Chapter 8. Additional Topics in Trigonometry
    1. 8.1a The Law of Sines and the Law of Cosines
    2. 8.1b Area of Triangles
    3. 8.2 Polar Coordinates and Polar Equations
    4. 8.3a Parametric Equations - Graphing and Applications
    5. 8.3b Parametric Equations - Eliminating the Parameter
    6. 8.3c Parametric Equations - Constructing Equations
    7. 8.4a Trigonometric Form of Complex Numbers
    8. 8.4b Operations with Complex Numbers
    9. 8.5 Vectors in the Cartesian Plane
    10. 8.6 The Dot Product and Its Uses
    11. Chapter 8 Review
  16. Chapter 9.R: Integrated Review
    1. 9.R.1 Special Products of Binomials
    2. 9.R.2 Special Factoring Techniques
  17. Chapter 9. Conic Sections
    1. 9.1 The Ellipse
    2. 9.2 The Parabola
    3. 9.3 The Hyperbola
    4. 9.4 Rotation of Conics
    5. 9.5 Polar Form of Conic Sections
    6. Chapter 9 Review
  18. Chapter 10.R: Integrated Review
    1. 10.R.1 Systems of Linear Equations: Solutions by Graphing
    2. 10.R.2 Systems of Linear Inequalities
  19. Chapter 10. Systems of Equations
    1. 10.1 Solving Systems by Substitution and Elimination
    2. 10.2 Matrix Notation and Gaussian Elimination
    3. 10.3 Determinants and Cramer's Rule
    4. 10.4 The Algebra of Matrices
    5. 10.5 Inverses of Matrices
    6. 10.6 Partial Fraction Decomposition
    7. 10.7 Linear Programming
    8. 10.8 Nonlinear Systems of Equations
    9. Chapter 10 Review
  20. Chapter 11. An Introduction to Sequences, Series, Combinatorics, and Probability
    1. 11.1 Sequences and Series
    2. 11.2 Arithmetic Sequences and Series
    3. 11.3 Geometric Sequences and Series
    4. 11.4 Mathematical Induction
    5. 11.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations
    6. 11.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems
    7. 11.6 An Introduction to Probability
    8. Chapter 11 Review