DEVELOPMENTAL MATHEMATICS - Hawkes Learning

1 SECOND EDITIOND. Franklin WrightDEVELOPMENTALMATHEMATICSI nstructor 110/11/2017 12:16:56 PMEditor: Nina WaldronProject Manager: Patrick Vande BosscheAssistant Editors: Chelsey Cooke, S. Rebecca Johnson, Barbara Miller, Designers: D. Kanthi, E. Jeevan Kumar, U. Nagesh, James Smalls, Patrick Thompson, Tee Jay ZajacCover Design: Patrick ThompsonVP Research & Development: Marcel PrevuznakDirector of Content: Kara Roch A division of Quant Systems, Long Point Road, Mount Pleasant, SC 29464 Copyright 2017 by Hawkes Learning / Quant Systems, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written consent of the in the United States of America ISBN: 210/11/2017 10:25:07 AMFOR REVIEW ONLY FOR REVIEW ONLYI nstructor Sample ContentsDevelopmental MATHEMATICS Second Edition Table of Contents.

2 VDevelopmental MATHEMATICS : Content Highlights ..ixStrategies for Academic SuccessHow to Read a Math Textbook ..1 Tips for Success in a Math Course ..2 Tips for Improving Math Test Scores ..3 Practice, Patience, and Persistence! ..4 Note Taking ..5Do I Need a Math Tutor? ..6 Tips for Improving Your Memory ..7 Overcoming Anxiety ..8 Online Resources ..9 Preparing for a Final Math Exam ..10 Chapter ProjectBefore and After ..12 CHAPTER 2 Fractions and Mixed Introduction to Fractions and Mixed Numbers ..132. 2 Multiplication with Fractions ..28 CHAPTER 10 graphing Linear Equations and The Cartesian Coordinate System .. graphing Linear Equations in Two Variables .. Slope-Intercept Form ..68 CHAPTER 17 Exponential and Logarithmic Exponential Functions.

3 Logarithmic Functions .. 310/11/2017 10:25:07 AMFOR REVIEW ONLY FOR REVIEW 410/11/2017 10:25:07 AMFOR REVIEW ONLY FOR REVIEW ONLYD evelopmental MATHEMATICS Second Edition Table of Contents Note: Content subject to changeCHAPTER 1 Whole Introduction to Whole Addition and Subtraction with Whole Numbers Multiplication with Whole Division with Whole Rounding and Estimating with Whole Problem Solving with Whole Exponents and Order of Tests for Prime Numbers and Prime FactorizationsCHAPTER 2 Fractions and Mixed Introduction to Fractions and Mixed Multiplication with Division with Multiplication and Division with Mixed Least Common Multiple (LCM) Addition and Subtraction with Addition and Subtraction with Mixed Comparisons and Order of Operations with FractionsCHAPTER 3 Decimal Introduction to Decimal Addition and Subtraction with Decimal Multiplication with Decimal Division with Decimal Estimating and Order of Operations with Decimal Decimal Numbers and FractionsCHAPTER 4 Ratios, Proportions, and Ratios and Unit Decimals and Fractions and Solving Percent Problems Using Solving Percent Problems Using Applications of Simple and Compound InterestCHAPTER US The Metric System: Length and The Metric System: Capacity and US and Metric EquivalentsvDevelopmental MATHEMATICS Second Edition Table of Contents 510/11/2017 10:25.

4 07 AMFOR REVIEW ONLY FOR REVIEW ONLYCHAPTER Angles and Volume and Surface Similar and Congruent Square Roots and the Pythagorean TheoremCHAPTER 7 Statistics, Graphs, and Statistics: Mean, Median, Mode, and Reading Constructing Graphs from a ProbabilityCHAPTER 8 Introduction to The Real Number Line and Absolute Addition with Real Subtraction with Real Multiplication and Division with Real Order of Operations with Real Properties of Real Simplifying and Evaluating Algebraic Translating English Phrases and Algebraic ExpressionsCHAPTER 9 Solving Linear Equations and Solving Linear Equations: x + b = c and ax = Solving Linear Equations: ax + b = Solving Linear Equations: ax + b = cx + Working with Applications: Number Problems and Consecutive Applications: Distance-Rate-Time, Interest, Solving Linear Inequalities in One Compound Absolute Value Absolute Value InequalitiesCHAPTER 10 graphing Linear Equations and The Cartesian Coordinate graphing Linear Equations in Two Slope-Intercept Point-Slope Introduction to Functions and Function graphing Linear Inequalities in Two VariablesviPreface DEVELOPMENTAL MATHEMATICS Second Edition Table of 610/11/2017 12:39:19 PMFOR REVIEW ONLY FOR REVIEW ONLYCHAPTER 11 Systems of Linear Systems of Linear Equations: Solutions by Systems of Linear Equations: Solutions by Systems of Linear Equations: Solutions by Applications.

5 Distance-Rate-Time, Number Problems, Amounts, and Applications: Interest and Systems of Linear Equations: Three Matrices and Gaussian Systems of Linear InequalitiesCHAPTER 12 Exponents and Rules for Power Rules for Applications: Scientific Introduction to Addition and Subtraction with Multiplication with Special Products of Division with Synthetic Division and the Remainder TheoremCHAPTER 13 Factoring Greatest Common Factor (GCF) and Factoring by Factoring Trinomials: x2 + bx + Factoring Trinomials: ax2 + bx + Special Factoring Review of Factoring Solving Quadratic Equations by Applications: Quadratic EquationsCHAPTER 14 Rational Introduction to Rational Multiplication and Division with Rational Least Common Multiple of Addition and Subtraction with Rational Simplifying Complex Solving Rational Applications: Rational Applications: VariationviiDevelopmental MATHEMATICS Second Edition Table of Contents 710/11/2017 10:25:07 AMFOR REVIEW ONLY FOR REVIEW ONLYCHAPTER 15 Roots, Radicals, and Complex Evaluating Simplifying Rational Addition, Subtraction, and Multiplication with Rationalizing Solving Radical Functions with Introduction to Complex Multiplication and Division with Complex NumbersCHAPTER 16 Quadratic Quadratic Equations: The Square Root Quadratic Equations.

6 Completing the Quadratic Equations: The Quadratic More Applications of Quadratic Equations in Quadratic graphing Quadratic More on graphing Functions and Solving Polynomial and Rational InequalitiesCHAPTER 17 Exponential and Logarithmic Algebra of Composition of Functions and Inverse Exponential Logarithmic Properties of Common Logarithms and Natural Logarithmic and Exponential Equations and Change-of-Base Applications: Exponential and Logarithmic FunctionsCHAPTER 18 Conic Translations and Parabolas as Distance Formula, Midpoint Formula, and Ellipses and Nonlinear Systems of EquationsviiiPreface DEVELOPMENTAL MATHEMATICS Second Edition Table of 810/11/2017 10:25:07 AMFOR REVIEW ONLY FOR REVIEW ONLYD evelopmental MATHEMATICS : Content HighlightsNew FeaturesStrategies for Academic SuccessA new section has been included to help students hone their skills in note taking, time management, test taking, and reading.

7 This section also provides tips for improving memory, overcoming test anxiety, and finding a math tutor. (See page 19 for more)Strategies for Academic Success Note TakingTaking notes in class is an important step in understanding new material. While there are several methods for taking notes, every note-taking method can benefit from these general Tips Write the date and the course name at the top of each page. Write the notes in your own words and paraphrase. Use abbreviations, such as ft for foot, # for number, def for definition, and RHS for right-hand side. Copy all figures or examples that are presented during the lecture. Review and rewrite your notes after class. Do this on the same day, if are many different methods of note taking and it s always good to explore new methods.

8 A good time to try out new note-taking methods is when you rewrite your class notes. Be sure to try each new method a few times before deciding which works best for you. Below are three note-taking methods you can try out. You may even find that a blend of several methods works best for MethodsOutlineAn outline consists of several topic headings, each followed by a series of indented bullet points that include subtopics, definitions, examples, and other : 1. Ratioa. Comparison of two quantities by Ratio of a to bi. abii. a : biii. a to bc. Can be reducedd. Common units can cancelSplit PageThe split page method divides the page vertically into two columns with the left column narrower than the right column. Main topics go in the left column and detailed comments go in the right column.

9 The bottom of the page is reserved for a short summary of the material :Keywords:Notes:Ratios1. Comparison of two quantities by division2. ab, a : b, a to b3. Can reduce4. Common units can cancelSummary: Ratios are used to compare quantities and units can mapping method is the most visual of the three methods. One common way to create a mapping is to write the main idea or topic in the center and draw lines, from the main idea to smaller ideas or subtopics. Additional branches can be created from the subtopics until all of the key ideas and definitions are included. Using a different color for subtopic can help visually organize the :RatiosMain TopicCommon units cancelComparison of quanti-ties by divisionCan be reducedaba : ba to bQuestions1.

10 Find two other note taking methods and describe Write five additional abbreviations that you could use while taking CheckNew exercises to assess students conceptual under-standing of topics and important definitions are included in every section. 1. Every square is a rectangle but not every rectangle is a ProjectsThis new feature promotes collaboration and shows students the practical side of MATHEMATICS through activities using real-world applications of the concepts taught in the chapter. (See page 24 for more)The Atlanta Braves baseball team has been one of the most popular baseball teams for fans not only from Georgia, but throughout the Carolinas and the southeastern United States. The Braves franchise started playing at the Atlanta-Fulton County Stadium in 1966 and this continued to be their home field for 30 years.