Introduction | p. vii |
Numbers and Number Systems | |
Ancient Number Systems | p. 2 |
Who Invented Numbers? | |
Tally Systems | |
Digits to Base 10 | |
Using Finger and Toes? | |
Zero | |
Writing Numbers | |
Number Systems | |
A Closer Look at Roman Numerals | |
Combining Roman Numerals | |
The Decimal System | p. 6 |
Arabic into Decimal | |
Counting Numbers | |
Whole Numbers | |
Rational Numbers | |
Prime Numbers | |
Infinity | |
Fibonacci Numbers | |
Composite Numbers | |
Even and Odd Numbers | |
Integers | |
Absolute Value | |
What's a Googol? | |
Bigger Than a Billion | |
Sets | |
Members Only, Please! | |
Place Value | |
Number: 111 | |
Order | |
Alternatives to the Decimal System: Base 2 and Base 5 | |
Square, Triangular, and Rectangular Numbers | |
Scientific Notation | |
Factors and Multiples | |
Powers and Exponents | |
Palindromes | |
Squares and Square Roots | |
Table of Square Roots to 40 | |
Why a Square? | |
Basic Math Functions | |
Math Symbols | p. 27 |
Addition and Subtraction | p. 28 |
Regrouping Numbers in Addition | |
Regrouping in Subtraction | |
Adding and Subtracting Whole Numbers | |
Table of Addition Facts | |
The Sum Is Always the Same | |
Adding and Subtracting Integers | |
Multiplication and Division | p. 33 |
Multiplication | |
Multiplication Table | |
Division | |
Whole Numbers | |
You'll Always Come Up With Nothing | |
Multiplicative Identity | |
Integers | |
Signed Numbers | |
Fractions | p. 40 |
Proper Fractions | |
Improper Fractions | |
Mixed Numbers | |
Babylonian Fractions | |
Common Denominators | |
Equivalent Fractions | |
Adding and Subtracting Fractions | |
Reducing Fractions to Lowest Terms | |
Multiplying and Dividing Fractions | |
Canceling and Factoring Out | |
Turn It Upside Down: Inverting | |
Decimal Fractions and Decimal Numbers | |
Decimals and Place Value | |
Changing a Fraction to a Decimal | |
Repeating Decimals | |
Decimal/Fraction Equivalents | |
Computing with Decimals | |
Dividing Decimals | |
Ratios and Percentages | |
Calculating Ratios and Percentages | |
Proportions | |
Rounding and Estimation | p. 52 |
What's Rounding? | |
General Rule for Rounding to the Nearest 10, 100, 1,000, and Higher! | |
Why Round? | |
Estimation | |
Averages and Medians | p. 54 |
Averages | |
Medians | |
Properties and Orders | p. 56 |
Commutative Property | |
Associative Property | |
Parentheses in Problem Solving | |
Distributive Property | |
Outside the Law | |
Order of Operations | |
Please Excuse My Dear Aunt Sally | |
Story Problems | p. 58 |
Clue Words | |
A System for Problem Solving | |
Homework Tips | |
Strategies for Problem Solving | |
Measurement | |
Measuring Length and Distance | p. 64 |
A Short History | |
The U.S. Customary and English Systems | |
The Metric System for Measuring Length | |
Nautical Measures | |
Space Age Measures | |
Astronomical Units | |
Measuring Weight | p. 71 |
A Short History | |
The Weigh We Were | |
U.S. Customary and English Weights | |
Metric Weights | |
Why "Lb." for "Pound"? | |
Measuring Perimeter and Area | p. 74 |
Calculating Perimeter | |
Pi | |
Calculating Area | |
Tricky Triangles | |
Measuring Volume | p. 77 |
Calculating Volume | |
Measuring Temperature | p. 80 |
The Fahrenheit Scale | |
The Centigrade Scale | |
Absolute Zero | |
Brrrrrrrr! | |
Hot Stuff! | |
Measuring Time | p. 82 |
Ancient and Modern Calendars | |
If Your Birthday Is February 29, How Old Are You? | |
Days of the Week | |
Ben Franklin and the Lost Days | |
Clocks | |
Military Time | |
Seconds, Please! | |
Greenwich Mean Time | |
Geometry | |
Geometric Shapes | p. 93 |
Points | |
Lines | |
Line Segments | |
Rays | |
Parallel Lines | |
Intersecting Lines | |
Perpendicular Lines | |
Planes | |
Angles | |
How to Use a Protractor | |
Polygons | |
Triangles | |
Pythagoras's Great Idea | |
Quadrilaterals | |
Other Common Polygons | |
Circles | |
Arcs, Chords, and Semicircles | |
Symmetry, Congruence, and Similarity | p. 106 |
The Elements of Geometry | |
Slides, Rotations, and Flips | |
Objects in Three Dimensions | p. 107 |
Fewer Facets | |
Money and Monetary Systems | |
U.S. Currency | p. 110 |
Mint Condition | |
Why Dollars and Cents? | |
What's Money? What's Currency? | |
Place Value and American Money | |
Money Talks | |
Other Currency Systems | p. 113 |
Money in Other Countries | |
Graphs | |
Plotting Information | p. 114 |
Making a Simple Coordinate Graph | |
Plotting and Locating Information on a Coordinate Graph | |
Four Kinds of Graphs | p. 116 |
Bar Graphs | |
Pictographs | |
Line Graphs | |
Circle Graphs | |
Statistics and Probability | |
What Is Statistics? | p. 120 |
The Language of Statistics | |
Probability | p. 124 |
What Is Probability? | |
The Language of Probability | |
The Gambler's Dilemma: Probability and Statistics in Action | |
Computers and Calculators | |
The Abacus | p. 126 |
Simple Calculators | p. 127 |
Early Calculators | |
Modern Calculators | |
The Computer | p. 128 |
The First Computers | |
Modern Computers | |
Software | |
Hardware | |
The Internet and the World Wide Web | |
Glossary | p. 131 |
Index | p. 133 |
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