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Head First Algebra

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Head First Algebra

Tracey Pilone, Dan Pilone 지음 | 원서 | 2008년 12월 | OReilly Media

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페이지 : 559쪽 | ISBN : 9780596514860 | 난이도 : 초/중급 | 변환코드 : 7486

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Having trouble understanding algebra? Do algebraic concepts, equations, and logic just make your head spin? We have great news: Head First Algebra is designed for you. Full of engaging stories and practical, real-world explanations, this book will help you learn everything from natural numbers and exponents to solving systems of equations and graphing polynomials.

Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive it off the lot? Can you really afford an XBox 360 and a new iPhone? Learn how to put algebra to work for you, and nail your class exams along the way.

Your time is way too valuable to waste struggling with new concepts. Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, Head First Algebra uses a visually rich format specifically designed to take advantage of the way your brain really works.
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저자소개

Tracey Pilone, Dan Pilone
Tracey Pilone is a freelance technical writer who has supported mission planning and RF analysis software for the Navy. She is a licensed Civil Engineer who has worked in construction management for several years in Washington DC. She has a Civil Engineering degree from Virgina Tech and a Masters of Education from the University of Virginia.

Dan Pilone is a Senior Software Architect with Blueprint Technologies, Inc.. He has designed and implemented systems for Hughes, ARINC, UPS, and the Naval Research Laboratory. He also teaches project management, software design, and software engineering at The Catholic University in Washington D.C. Dan has written several books on software development, including "UML 2.0 in a Nutshell" (0-596-00795-7) and "UML 2.0 Pocket Reference" (0-596-10208-9), both O'Reilly.


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목차

Advance Praise for Head First Algebra 
Dedication 
Authors of Algebra 
how to use this book 
Chapter 1. what is algebra? 
Section 1.1. It all started with a big gaming sale 
Section 1.2. What does a system really cost? 
Section 1.3. Algebra is about solving for unknowns 
Section 1.4. Jo's got more unknowns 
Section 1.5. X marks the spot unknown 
Section 1.6. Equations are math sentences 
Section 1.7. Now SOLVE for the unknown 
Section 1.8. So which operation do you use when? 
Section 1.9. Inverse Operations Exposed 
Section 1.10. Checking your work… 
Section 1.11. Substitution uses your solution in the original equation 
Section 1.12. Equation training 
Chapter 2. 2 (more) complicated equations 
Section 2.1. Paul loves "Pajama Death" 
Section 2.2. Always start with what you know 
Section 2.3. There's a COST for each guy 
Section 2.4. Replace your words with numbers 
Section 2.5. Now solve for g… one step at a time 
Section 2.6. …but you have to keep the equation equal! 
Section 2.7. If you follow the rules, you'll ALWAYS get the right answer 
Section 2.8. Whole numbers are usually easier to work with 
Section 2.9. A variable can appear in an equation MORE THAN ONE TIME 
Section 2.10. Checking your work proves your answer 
Section 2.11. A term is a chunk of an algebraic equation 
Section 2.12. "In terms of" is the secret to multiple variables in an equation 
Chapter 3. rules for numeric operations 
Section 3.1. There's an order for working expressions 
Section 3.2. You can re-group your equations 
Section 3.3. Distributing a value over a grouping doesn't change a problem's value 
Section 3.4. A constant stands in for a number 
Chapter 4. exponent operations 
Section 4.1. Addie's got a podcast 
Section 4.2. Let's mobilize Addie's listeners 
Section 4.3. Can Addie and Alex get enough hits? 
Section 4.4. Alex is flaking out on his sister 
Section 4.5. There's always a villain… 
Section 4.6. The order of operations says exponents FIRST 
Section 4.7. A root is the INVERSE of an exponent 
Chapter 5. graphing 
Section 5.1. Edward's Lawn Mowing needs help… 
Section 5.2. Why don't you just SHOW me the money? 
Section 5.3. Now we can LOOK at Ed's cash pattern 
Section 5.4. Graphs show an ENTIRE relationship 
Section 5.5. There's something else that covers the entire relationship 
Section 5.6. Let's graph Ed's equation on the Cartesian Plane 
Section 5.7. Ed's graph has two INTERCEPT points 
Section 5.8. Ed's figuring out the SLOPE of lawns 
Section 5.9. Linear equations in point-slope form 
Section 5.10. How does a point and a slope get you a line? 
Section 5.11. Let's use the point-slope form 
Section 5.12. Equations also have a standard form 
Section 5.13. The slope-intercept form is EASY to graph 
Chapter 6. inequalities 
Section 6.1. Kathleen really loves football 
Section 6.2. The cost of all players can't be more than $1,000,000 
Section 6.3. Inequalities are COMPARISONS 
Section 6.4. Inequalities involving some negative number operations need special treatment 
Section 6.5. Negative inequalities work BACKWARD 
Section 6.6. Multiplication and division of negative numbers causes problems for inequalities 
Section 6.7. FLIP the inequality sign with negative multiplication and division 
Section 6.8. Use the number line to visualize the relationship 
Section 6.9. When you're working with an inequality and negative multiplication or division… 
Section 6.10. You can visualize a solution set on a number line 
Section 6.11. Inequalities can have TWO variables 
Section 6.12. Use a graph to visualize the solutions to an inequality 
Section 6.13. Answers made in the shade 
Section 6.14. Shading shows potential answers 
Section 6.15. Are you ready for some football? 
Chapter 7. systems of equations 
Section 7.1. You can't have -1 gallons of liquid! 
Section 7.2. How does the sparkling equation work? 
Section 7.3. The INTERSECTION of the lines solves BOTH linear equations 
Section 7.4. Solve multiple unknowns with a SYSTEM of EQUATIONS 
Section 7.5. Two kinds of glasses… that's TWO unknowns 
Section 7.6. Solve your system of equations using a graph 
Section 7.7. Let's solve the glasses problem 
Section 7.8. You can substitute substitution for graphing 
Section 7.9. f is gone with almost no work 
Section 7.10. Eliminate a variable with the ELIMINATION METHOD 
Section 7.11. Manipulate your equations for elimination 
Section 7.12. Which variable? 
Section 7.13. System of Equations Exposed 
Section 7.14. Zach's party rocks! 
Section 7.15. Sometimes two equations aren't two lines 
Chapter 8. expanding binomials & factoring 
Section 8.1. Math or No Math semi-regional masters final 
Section 8.2. Problem #1: Simplify this expression 
Section 8.3. Who's right? 
Section 8.4. Binomials are groups of two algebraic terms 
Section 8.5. The distributive property, revisited 
Section 8.6. The distributive property 
Section 8.7. Simplify binomials with the distributive property 
Section 8.8. What about when the signs are the SAME? 
Section 8.9. Sometimes there's just not a pattern… 
Section 8.10. FOIL ALWAYS works 
Section 8.11. Un-distribution is called FACTORING 
Section 8.12. Factoring is un-mulitplying 
Section 8.13. Factor by looking for common terms 
Section 8.14. Factoring Exposed 
Section 8.15. Zero times anthing is 0 
Section 8.16. Let's zero these things out… 
Chapter 9. quadratic equations 
Section 9.1. Head First U is at war! 
Section 9.2. Jon's upgrading his technology 
Section 9.3. Where does Jon put the catapult? 
Section 9.4. Uh oh… the president's relocated 
Section 9.5. You should always factor with a PLAN 
Section 9.6. Pi Gamma Delta built a wall! 
Section 9.7. 9 feet is not a problem 
Section 9.8. The quadratic formula 
Section 9.9. The Discriminant Exposed 
Section 9.10. Frat Wars, part deux 
Section 9.11. How can you graph x2? 
Section 9.12. A parabola is the shape of a quadratic equation 
Section 9.13. Graphing a parabola depends upon the vertex 
Section 9.14. Use and understand the vertex 
Section 9.15. Work with the parabola, the SMART way 
Section 9.16. The discriminant can help with our graph, too 
Section 9.17. So here's our final graph: 
Chapter 10. functions 
Section 10.1. Pajama Death TV 
Section 10.2. Equations have limits (most of the time) 
Section 10.3. A function can be expressed as an equation 
Section 10.4. Functions have minimum and maximum outputs 
Section 10.5. So what's the MAXIMUM we can make? 
Section 10.6. Algebra is really about relations 
Section 10.7. Relations, equations, and functions all go TOGETHER 
Section 10.8. The Function Exposed 
Section 10.9. Function graphs have LIMITS 
Section 10.10. Just before the second episode of Pajama Death TV… 
Section 10.11. Graphing reveals the nature of a relation 
Section 10.12. Functions pass the vertical line test 
Section 10.13. But… what about the REST of the tickets? 
Section 10.14. One function, two parts = real life 
Section 10.15. Use the function piece you NEED 
Section 10.16. To evaluate a piecewise function 
Section 10.17. The numbers are in… and? 
Section 10.18. Pajama Death's show was a hit! 
Chapter 11. real-world algebra 
Section 11.1. Calculate interest from your interest rate and the principle amount you're borrowing 
Section 11.2. Max doesn't own that car just yet… 
Section 11.3. Depreciation is a sad fact of life 
Section 11.4. But the bank still gets their money 
Section 11.5. You don't need to GUESS with Algebra 
Section 11.6. … but remember to keep the context of the problem in mind 
Section 11.7. Max plans to pay you to be his financial planner 
Appendix A. leftovers 
Section A.1. #1 Negative Exponents 
Section A.2. Working with negative exponents 
Section A.3. Negative exponents also give you flexibility 
Section A.4. #2 Table of values for graphing 
Section A.5. #3 Absolute value equations 
Section A.6. #4 Calculators 
Section A.7. #5 More practice, especially for factoring 
Appendix B. pre-Algebra review 
Section B.1. Algebra starts with numbers 
Section B.2. How do you work with negative numbers? 
Section B.3. Addition and subtraction of integers 
Section B.4. Working with mixed integers 
Section B.5. Multiplication and division of integers 
Section B.6. The rules for integer signs - multiplication and division 
Section B.7. Absolute Value 
Section B.8. Number sets - all together 
Section B.9. The number sets 
Section B.10. How decimals communicate 
Section B.11. Addition and subtraction with decimals 
Section B.12. Decimal multiplication 
Section B.13. Decimal division 
Section B.14. Let's do some division! 
Section B.15. Special decimals 
Section B.16. Working with percents 
Section B.17. Fractions 
Section B.18. Fractions show parts of a whole 
Section B.19. Fraction multiplication 
Section B.20. Fraction division mixes numerators and denominators 
Section B.21. Improper fractions 
Section B.22. Divide to make an improper fraction proper 
Section B.23. More about improper fractions 
Section B.24. Invert a fraction to get its reciprocal 
Section B.25. Fraction division - option #2 
Section B.26. Adding and subtracting fractions 
Section B.27. You need a common denominator 
Section B.28. Equivalent fractions get you matching denominators 
Section B.29. Use the lowest common denominator for addition 
Section B.30. Fraction addition and subtraction training 
Section B.31. Dividing by one doesn't change the value 
Section B.32. Reduce fractions by dividing by 1 
Section B.33. Factor trees can eliminate lots of little steps 
Section B.34. Pick out the prime factors 
Section B.35. Reduce fractions with the factor tree 
Section B.36. Putting it all together - fractions 
Section B.37. Converting decimals to fractions 
Section B.38. Conversions everywhere 
Section B.39. Division by Zero doesn't work 
Section B.40. Sometimes multiplication takes forever! 
Section B.41. Is there a shorter way? 
Section B.42. Why does all this matter? 
Index 
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