--- title: Developmental Mathematics Second Edition – News from the Nest description: This new edition offers more robust exercise sets that include conceptual assessment, an increased focus on real-world application, new lessons on study skills to develop the academic mindset of mathematics learners, chapter projects and collaborative opportunities for discovery-based learning with peers, and additional content to cover all topics through intermediate algebra. View a free sample… --- [News from the Nest ](https://www.hawkeslearning.com/blog) # [Developmental Mathematics Second Edition – News from the Nest](https://www.hawkeslearning.com/blog/developmental-mathematics-second-edition) Written by [Hawkes Learning](https://www.hawkeslearning.com/blog/author/hawkes-learning) | Jan 15, 2018 5:00:00 AM This new edition offers more robust exercise sets that include conceptual assessment, an increased focus on real-world application, new lessons on study skills to develop the academic mindset of mathematics learners, chapter projects and collaborative opportunities for discovery-based learning with peers, and additional content to cover all topics through intermediate algebra. [View a free sample of the new edition of *Developmental Mathematics*.](https://downloads.hawkeslearning.com/Docs/resources/DEV2/DEV_2e_Sample.pdf) [Request an examination copy.](https://www.hawkeslearning.com/Instructors/RequestAReviewCopy.htm) ### **NEW features include:** - **Strategies for Academic Success** – study skills and learning strategies build stronger learners with tips on note taking, time management, test taking, and more - **Chapter Projects **– discovery-based projects promote collaboration and practical applications of mathematics - **Concept Checks** – exercise sets assess students’ conceptual understanding of topics before each practice set - **Applications** – exercise sets for each section challenge students to apply topics learned to real-world contexts - **Extra Material** – more advanced topics cover all learning outcomes to prepare students for future college math courses - **Writing & Thinking** – opportunities for students to independently explore and expand on chapter concepts ## Table of Contents: ### **Chapter 0: Strategies for Academic Success** ##### How to Read a Math Textbook Tips for Success in a Math Course Tips for Improving Math Test Scores Practice, Patience, and Persistence! Note Taking Do I Need a Math Tutor? Tips for Improving Your Memory Overcoming Anxiety Online Resources Preparing for a Final Math Exam Managing Your Time Effectively ### **1. Whole Numbers** ##### Introduction to Whole Numbers Addition and Subtraction with Whole Numbers Multiplication with Whole Numbers Division with Whole Numbers Rounding and Estimating with Whole Numbers Problem Solving with Whole Numbers Exponents and Order of Operations Tests for Divisibility Prime Numbers and Prime Factorizations ### **2. Fractions and Mixed Numbers** ##### Introduction to Fractions and Mixed Numbers Multiplication with Fractions Division with Fractions Multiplication and Division with Mixed Numbers Least Common Multiple (LCM) Addition and Subtraction with Fractions Addition and Subtraction with Mixed Numbers Comparisons and Order of Operations with Fractions ### **3. Decimal Numbers** ##### Introduction to Decimal Numbers Addition and Subtraction with Decimal Numbers Multiplication with Decimal Numbers Division with Decimal Numbers Estimating and Order of Operations with Decimal Numbers Decimal Numbers and Fractions ### **4. Ratios, Proportions, and Percents** ##### Ratios and Unit Rates Proportions Decimals and Percents Fractions and Percents Solving Percent Problems Using Proportions Solving Percent Problems Using Equations Applications of Percent Simple and Compound Interest ### **5. Measurements** ##### US Measurements The Metric System: Length and Area The Metric System: Capacity and Weight US and Metric Equivalents ### **6. Geometry** ##### Angles and Triangles Perimeter Area Circles Volume and Surface Area Similar and Congruent Triangles Square Roots and the Pythagorean Theorem ### **7. Statistics, Graphs, and Probability** ##### Statistics: Mean, Median, Mode, and Range Reading Graphs Constructing Graphs from a Database Probability ### **8. Introduction to Algebra** ##### The Real Number Line and Absolute Value Addition with Real Numbers Subtraction with Real Numbers Multiplication and Division with Real Numbers Order of Operations with Real Numbers Properties of Real Numbers Simplifying and Evaluating Algebraic Expressions Translating English Phrases and Algebraic Expressions ### **9. Solving Linear Equations and Inequalities** ##### Solving Linear Equations: x + b = c Solving Linear Equations: ax = c Solving Linear Equations: ax + b = c Solving Linear Equations: ax + b = cx + d Working with Formulas Applications: Number Problems and Consecutive Integers Applications: Distance-Rate-Time, Interest, Average Solving Linear Inequalities in One Variable Compound Inequalities Absolute Value Equations Absolute Value Inequalities ### **10. Graphing Linear Equations and Inequalities** ##### The Cartesian Coordinate System Graphing Linear Equations in Two Variables Slope-Intercept Form Point-Slope Form Introduction to Functions and Function Notation Graphing Linear Inequalities in Two Variables ### **11. Systems of Linear Equations** ##### Systems of Linear Equations: Solutions by Graphing Systems of Linear Equations: Solutions by Substitution Systems of Linear Equations: Solutions by Addition Applications: Distance-Rate-Time, Number Problems, Amounts, and Costs Applications: Interest and Mixture Systems of Linear Equations: Three Variables Matrices and Gaussian Elimination Systems of Linear Inequalities ### **12. Exponents and Polynomials** ##### Rules for Exponents Power Rules for Exponents Applications: Scientific Notation Introduction to Polynomials Addition and Subtraction with Polynomials Multiplication with Polynomials Special Products of Binomials Division with Polynomials Synthetic Division and the Remainder Theorem ### **13. Factoring Polynomials** ##### Greatest Common Factor (GCF) and Factoring by Grouping Factoring Trinomials: x^2+bx+c Factoring Trinomials ax^2+bx+c Special Factoring Techniques Review of Factoring Techniques Solving Quadratic Equations by Factoring Applications: Quadratic Equations ### **14. Rational Expressions** ##### Introduction to Rational Expressions Multiplication and Division with Rational Expressions Least Common Multiple of Polynomials Addition and Subtraction with Rational Expressions Simplifying Complex Fractions Solving Rational Equations Applications: Rational Expressions Applications: Variation ### **15. Roots, Radicals, and Complex Numbers** ##### Evaluating Radicals Rational Exponents Simplifying Radicals Addition, Subtraction, and Multiplication with Radicals Rationalizing Denominators Solving Radical Equations Functions with Radicals Introduction to Complex Numbers Multiplication and Division with Complex Numbers ### **16. Quadratic Equations** ##### Quadratic Equations: The Square Root Method Quadratic Equations: Completing the Square Quadratic Equations: The Quadratic Formula More Applications of Quadratic Equations Equations in Quadratic Form Graphing Quadratic Functions More on Graphing Functions and Applications Solving Polynomial and Rational Inequalities ### **17. Exponential and Logarithmic Functions** ##### Algebra of Functions Composition of Functions and Inverse Functions Exponential Functions Logarithmic Functions Properties of Logarithms Common Logarithms and Natural Logarithms Logarithmic and Exponential Equations and Change-of-Base Applications: Exponential and Logarithmic Functions ### **18. Conic Sections** ##### Translations and Reflections Parabolas as Conics Distance Formula, Midpoint Formula, and Circles Ellipses and Hyperbolas Nonlinear Systems of Equations [Request an examination copy.](https://www.hawkeslearning.com/Instructors/RequestAReviewCopy.htm) Want to learn more? Contact us at [sales@hawkeslearning.com](mailto:sales@hawkeslearning.com)! 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