Here at Hawkes Learning, we’re excited about developing our new course offering, College Algebra Plus Integrated Review! Target specific remediation needs for just-in-time supplementation of foundational concepts in college algebra with these materials.
This new integrated course enhances curriculum-level math with applicable review skills to shorten the prerequisite sequence without compromising competency. If you teach a college algebra corequisite course, these materials are for you!
Table of Contents:
Chapter 0: Strategies for Academic Success
| 0.1 |
How to Read a Math Textbook |
| 0.2 |
Tips for Success in a Math Course |
| 0.3 |
Tips for Improving Math Test Scores |
| 0.4 |
Practice, Patience, and Persistence! |
| 0.5 |
Note Taking |
| 0.6 |
Do I Need a Math Tutor? |
| 0.7 |
Tips for Improving Your Memory |
| 0.8 |
Overcoming Anxiety |
| 0.9 |
Online Resources |
| 0.10 |
Preparing for a Final Math Exam |
| 0.11 |
Managing Your Time Effectively |
Chapter 1.R: Integrated Review
| 1.R.1 |
Exponents, Prime Numbers, and LCM |
| 1.R.2 |
Reducing Fraction to Lowest Terms |
| 1.R.3 |
Decimals and Percents |
| 1.R.4 |
Simplifying Radicals |
Chapter 1: Number Systems and Fundamental Concepts of Algebra
| 1.1 |
The Real Number System |
| 1.2 |
The Arithmetic of Algebraic Expressions |
| 1.3a |
Properties of Exponents |
| 1.3b |
Scientific Notation and Geometric Problems Using Exponents |
| 1.4a |
Properties of Radicals |
| 1.4b |
Rational Number Exponents |
| 1.5 |
Polynomials and Factoring |
| 1.6 |
The Complex Number System |
| Chapter 1 Review |
Chapter 1 Review |
Chapter 2.R: Integrated Review
| 2.R.1 |
Multiplication and Division with Fractions |
| 2.R.2 |
Addition and Subtraction with Fractions |
| 2.R.3 |
Applications: Number Problems and Consecutive Integers |
| 2.R.4 |
Proportions |
Chapter 2: Equations and Inequalities of One Variable
| 2.1a |
Linear Equations in One Variable |
| 2.1b |
Applications of Linear Equations in One Variable |
| 2.2 |
Linear Inequalities in One Variable |
| 2.3 |
Quadratic Equations in One Variable |
| 2.4 |
Higher Degree Polynomial Equations |
| 2.5 |
Rational Expressions and Equations |
| 2.6 |
Radical Equations |
| Chapter 2 Review |
Chapter 2 Review |
Chapter 3: Linear Equations and Inequalities of Two Variables
| 3.1 |
The Cartesian Coordinate System |
| 3.2 |
Linear Equations in Two Variables |
| 3.3 |
Forms of Linear Equations |
| 3.4 |
Parallel and Perpendicular Lines |
| 3.5 |
Linear Inequalities in Two Variables |
| 3.6 |
Introduction to Circles |
| Chapter 3 Review |
Chapter 3 Review |
Chapter 4.R: Integrated Review
| 4.R.1 |
Order of Operations with Real Numbers |
| 4.R.2 |
Identifying Like Terms |
| 4.R.3 |
Simplifying Expressions |
| 4.R.4 |
Translating English Phrases and Algebraic Expressions |
Chapter 4: Relations, Functions, and Their Graphs
| 4.1 |
Relations and Functions |
| 4.2a |
Linear and Quadratic Functions |
| 4.2b |
Max/Min Applications of Quadratic Functions |
| 4.3a |
Other Common Functions |
| 4.3b |
Direct and Inverse Variation |
| 4.4 |
Transformations of Functions |
| 4.5 |
Combining Functions |
| 4.6 |
Inverses of Functions |
| Chapter 4 Review |
Chapter 4 Review |
Chapter 5.R: Integrated Review
| 5.R.1 |
Greatest Common Factor (GCF) of a Set of Terms |
| 5.R.2 |
Factoring Trinomials by Grouping |
| 5.R.3 |
Review of Factoring Techniques |
Chapter 5: Polynomial Functions
| 5.1 |
Introduction to Polynomial Equations and Graphs |
| 5.2 |
Polynomial Division and the Division Algorithm |
| 5.3 |
Locating Real Zeros of Polynomials |
| 5.4 |
The Fundamental Theorem of Algebra |
| Chapter 5 Review |
Chapter 5 Review |
Chapter 6.R: Integrated Review
| 6.R.1 |
Introduction to Rational Expressions |
| 6.R.2 |
Special Products of Binomials |
| 6.R.3 |
Special Factoring Techniques |
Chapter 6: Rational Functions and Conic Sections
| 6.1a |
Rational Functions |
| 6.1b |
Rational Inequalities |
| 6.2 |
The Ellipse |
| 6.3 |
The Parabola |
| 6.4 |
The Hyperbola |
| Chapter 6 Review |
Chapter 6 Review |
Chapter 7.R: Integrated Review
| 7.R.1 |
Rules for Exponents |
| 7.R.2 |
Power Rules for Exponents |
| 7.R.3 |
Rational Exponents |
Chapter 7: Exponential and Logarithmic Functions
| 7.1 |
Exponential Functions and Their Graphs |
| 7.2 |
Applications of Exponential Functions |
| 7.3 |
Logarithmic Functions and Their Graphs |
| 7.4 |
Properties and Applications of Logarithms |
| 7.5 |
Exponential and Logarithmic Equations |
| Chapter 7 Review |
Chapter 7 Review |
Chapter 8.R: Integrated Review
| 8.R.1 |
Systems of Linear Equations: Solutions by Graphing |
| 8.R.2 |
Systems of Linear Inequalities |
Chapter 8: Systems of Equations
| 8.1 |
Solving Systems by Substitution and Elimination |
| 8.2 |
Matrix Notation and Gaussian Elimination |
| 8.3 |
Determinants and Cramer’s Rule |
| 8.4 |
The Algebra of Matrices |
| 8.5 |
Inverses of Matrices |
| 8.6 |
Linear Programming |
| 8.7 |
Nonlinear Systems of Equations |
| Chapter 8 Review |
Chapter 8 Review |
Chapter 9: An Introduction to Sequences, Series, Combinatorics, and Probability
| 9.1 |
Sequences and Series |
| 9.2 |
Arithmetic Sequences and Series |
| 9.3 |
Geometric Sequences and Series |
| 9.4 |
Mathematical Induction |
| 9.5a |
An Introduction to Combinatorics – Counting, Permutations, and Combinations |
| 9.5b |
An Introduction to Combinatorics – The Binomial and Multinomial Theorems |
| 9.6 |
An Introduction to Probability |
| Chapter 9 Review |
Chapter 9 Review |
Appendix
| A.1 |
Introduction to Polynomial Equations and Graphs (excluding complex numbers) |
| A.2 |
Polynomial Division and the Division Algorithm (excluding complex numbers) |
| A.3 |
Locating Real Zeros of Polynomials (excluding complex numbers) |
| A.4 |
The Fundamental Theorem of Algebra (excluding complex numbers) |
