What is included with this book?
Introduction | p. 1 |
About This Book | p. 1 |
Conventions Used in This Book | p. 2 |
Foolish Assumptions | p. 2 |
Icons Used in This Book | p. 3 |
Where to Go from Here | p. 3 |
Arming Yourself with Math Basics | p. 5 |
Understanding Sets of Numbers | p. 5 |
The Big Four Operations | p. 6 |
Adding things up | p. 6 |
Take it away: Subtracting | p. 7 |
Multiplying | p. 7 |
Arriving on the dot | p. 7 |
Speaking parenthetically | p. 8 |
Doing division lickety-split | p. 8 |
Fun and Useful Properties of the Big Four Operations | p. 9 |
Inverse operations | p. 9 |
Commutative operations | p. 9 |
Associative operations | p. 10 |
Distributing to lighten the load | p. 11 |
Other Operations: Exponents, Square Roots, and Absolute Values | p. 11 |
Understanding exponents | p. 11 |
Discovering your roots | p. 12 |
Figuring out absolute value | p. 13 |
Finding Factors | p. 13 |
Generating factors | p. 13 |
Finding the greatest common factor (GCF) | p. 14 |
Finding Multiples | p. 15 |
Generating multiples | p. 15 |
Finding the least common multiple (LCM) | p. 16 |
Evaluating Arithmetic Expressions | p. 17 |
The Three E's: Equations, Expressions, and Evaluations | p. 18 |
Equality for all: Equations | p. 18 |
Hey, it's just an expression | p. 19 |
Evaluating the situation | p. 19 |
Putting the Three E's together | p. 20 |
Following the Order of Operations | p. 20 |
Order of operations and the Big Four expressions | p. 21 |
Expressions with only addition and subtraction | p. 22 |
Expressions with only multiplication and division | p. 23 |
Mixed-operator expressions | p. 24 |
Order of operations in expressions with exponents | p. 25 |
Order of operations in expressions with parentheses | p. 25 |
Big Four expressions with parentheses | p. 26 |
Expressions with exponents and parentheses | p. 26 |
Expressions with parentheses raised to an exponent | p. 27 |
Expressions with nested parentheses | p. 28 |
Say What? Making Sense of Word Problems | p. 31 |
Handling Basic Word Problems | p. 32 |
Turning word problems into word equations | p. 32 |
Jotting down information as word equations | p. 32 |
Turning more-complex statements into word equations | p. 33 |
Figuring out what the problem's asking | p. 34 |
Plugging in numbers for words | p. 35 |
Example: Send in the clowns | p. 35 |
Example: Our house in the middle of our street | p. 36 |
Solving More-Challenging Word Problems | p. 36 |
When numbers get serious | p. 37 |
Lots of information | p. 38 |
Putting it all together | p. 40 |
Figuring Out Fractions | p. 43 |
Reducing Fractions to Lowest Terms | p. 44 |
Multiplying and Dividing Fractions | p. 44 |
Multiplying numerators and denominators straight across | p. 45 |
Doing a flip to divide fractions | p. 45 |
Adding Fractions | p. 46 |
Finding the sum of fractions with the same denominator | p. 46 |
Adding fractions with different denominators | p. 47 |
Subtracting Fractions | p. 49 |
Subtracting fractions with the same denominator | p. 49 |
Subtracting fractions with different denominators | p. 50 |
Working with Mixed Numbers | p. 51 |
Converting between improper fractions and mixed numbers | p. 51 |
Switching to an improper fraction | p. 51 |
Switching to a mixed number | p. 52 |
Multiplying and dividing mixed numbers | p. 52 |
Adding and subtracting mixed numbers | p. 53 |
Adding two mixed numbers | p. 53 |
Subtracting mixed numbers | p. 55 |
Deciphering Decimals | p. 59 |
Performing the Big Four Operations with Decimals | p. 59 |
Adding decimals | p. 60 |
Subtracting decimals | p. 61 |
Multiplying decimals | p. 62 |
Dividing decimals | p. 63 |
Dealing with more zeros in the dividend | p. 64 |
Completing decimal division | p. 64 |
Converting between Decimals and Fractions | p. 65 |
Changing decimals to fractions | p. 66 |
Doing a basic decimal-to-fraction conversion | p. 66 |
Mixing numbers and reducing fractions | p. 67 |
Changing fractions to decimals | p. 68 |
The last stop: Terminating decimals | p. 68 |
The endless ride: Repeating decimals | p. 69 |
Puzzling Out Percents | p. 71 |
Understanding Percents Greater than 100% | p. 72 |
Converting to and from Percents, Decimals, and Fractions | p. 72 |
Going from percents to decimals | p. 73 |
Changing decimals into percents | p. 73 |
Switching from percents to fractions | p. 73 |
Turning fractions into percents | p. 74 |
Solving Percent Problems | p. 75 |
Figuring out simple percent problems | p. 76 |
Deciphering more-difficult percent problems | p. 77 |
Applying Percent Problems | p. 78 |
Identifying the three types of percent problems | p. 79 |
Introducing the percent circle | p. 80 |
Finding the ending number | p. 81 |
Discovering the percentage | p. 81 |
Tracking down the starting number | p. 82 |
Fraction, Decimal, and Percent Word Problems | p. 85 |
Adding and Subtracting Parts of the Whole | p. 85 |
Sharing a pizza: Fractions | p. 86 |
Buying by the pound: Decimals | p. 86 |
Splitting the vote: Percents | p. 87 |
Multiplying Fractions in Everyday Situations | p. 88 |
Buying less than advertised | p. 88 |
Computing leftovers | p. 89 |
Multiplying Decimals and Percents in Word Problems | p. 90 |
Figuring out how much money is left | p. 90 |
Finding out how much you started with | p. 91 |
Handling Percent Increases and Decreases in Word Problems | p. 93 |
Raking in the dough: Finding salary increases | p. 94 |
Earning interest on top of interest | p. 94 |
Getting a deal: Calculating discounts | p. 96 |
Using Variables in Algebraic Expressions | p. 97 |
Variables: X Marks the Spot | p. 97 |
Expressing Yourself with Algebraic Expressions | p. 98 |
Evaluating algebraic expressions | p. 99 |
Coming to algebraic terms | p. 101 |
Making the commute: Rearranging your terms | p. 102 |
Identifying the coefficient and variable | p. 103 |
Identifying similar terms | p. 104 |
Considering algebraic terms and the Big Four operations | p. 104 |
Adding terms | p. 104 |
Subtracting terms | p. 105 |
Multiplying terms | p. 106 |
Dividing terms | p. 107 |
Simplifying Algebraic Expressions | p. 108 |
Combining similar terms | p. 109 |
Removing parentheses from an algebraic expression | p. 110 |
Drop everything: Parentheses with a plus sign | p. 110 |
Switch signs: Parentheses with a minus sign | p. 110 |
Distribute: Parentheses with no sign | p. 111 |
Foil: Two terms in each set of parentheses | p. 112 |
X's Secret Identity: Solving Algebraic Equations | p. 115 |
Understanding Algebraic Equations | p. 116 |
Using x in equations | p. 116 |
Four ways to solve algebraic equations | p. 117 |
Eyeballing easy equations | p. 117 |
Rearranging slightly harder equations | p. 117 |
Guessing and checking equations | p. 118 |
Applying algebra to more-difficult equations | p. 119 |
Checks and Balances: Solving for X | p. 119 |
Striking a balance | p. 119 |
Using the balance scale to isolate x | p. 120 |
Rearranging Equations to Isolate X | p. 122 |
Rearranging terms on one side of an equation | p. 122 |
Moving terms to the other side of the equal sign | p. 123 |
Removing parentheses from equations | p. 124 |
Using cross-multiplication to remove fractions | p. 127 |
Decoding Algebra Word Problems | p. 129 |
Using a Five-Step Approach | p. 130 |
Declaring a variable | p. 130 |
Setting up the equation | p. 131 |
Solving the equation | p. 132 |
Answering the question | p. 133 |
Checking your work | p. 133 |
Choosing Your Variable Wisely | p. 134 |
Solving More Complex Algebra Problems | p. 135 |
Geometry: Perimeter, Area, Surface Area, and Volume | p. 139 |
Closed Encounters: Understanding 2-D Shapes | p. 139 |
Circles | p. 140 |
Polygons | p. 140 |
Adding Another Dimension: Solid Geometry | p. 141 |
The many faces of polyhedrons | p. 141 |
3-D shapes with curves | p. 142 |
Measuring Shapes: Perimeter, Area, Surface Area, and Volume | p. 143 |
2-D: Measuring on the flat | p. 143 |
Going 'round in circles | p. 144 |
Measuring triangles | p. 146 |
Measuring squares | p. 147 |
Working with rectangles | p. 148 |
Calculating with rhombuses | p. 148 |
Measuring parallelograms | p. 149 |
Measuring trapezoids | p. 150 |
Spacing out: Measuring in three dimensions | p. 151 |
Spheres | p. 152 |
Cubes | p. 153 |
Boxes (Rectangular solids) | p. 153 |
Prisms | p. 154 |
Cylinders | p. 154 |
Pyramids and cones | p. 155 |
Picture It! Graphing Information | p. 157 |
Examining Three Common Graph Styles | p. 158 |
Bar graph | p. 158 |
Pie chart | p. 159 |
Line graph | p. 160 |
Using Cartesian Coordinates | p. 162 |
Plotting points on a Cartesian graph | p. 162 |
Drawing lines on a Cartesian graph | p. 164 |
Solving problems with a Cartesian graph | p. 167 |
Ten Essential Math Concepts | p. 169 |
Playing with Prime Numbers | p. 169 |
Zero: Much Ado about Nothing | p. 170 |
Delicious Pi | p. 170 |
Equal Signs and Equations | p. 171 |
The Cartesian Graph | p. 171 |
Relying on Functions | p. 172 |
Rational Numbers | p. 172 |
Irrational Numbers | p. 173 |
The Real Number Line | p. 173 |
Exploring the Infinite | p. 174 |
Index | p. 175 |
Table of Contents provided by Ingram. All Rights Reserved. |