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Idiot\'s Guides Basic Math and Pre-Algebra

(Marvins-Underground-K-12) #1

  • Part 1: The World of Numbers

  • 1 Our Number System ....................................................................

    • The Counting Numbers ...........................................................................................................

    • Scientific Notation

    • Rounding ..........................................................................................................................................



  • 2 Arithmetic

    • Addition and Subtraction .......................................................................................................

    • Multiplication and Division ..................................................................................................2



  • 3 Order of Operations and Integers

    • Order of Operations ...................................................................................................................

    • The Distributive Property

    • The Integers

    • Arithmetic with Integers .......................................................................................................



  • 4 Factors and Multiples

    • Prime Numbers

    • Prime Factorization ...................................................................................................................

    • Greatest Common Factor .......................................................................................................5

    • Least Common Multiple........................................................................................................



  • 5 Fractions

    • The Rational Numbers ............................................................................................................

    • Arithmetic with Fractions



  • 6 Decimals

    • Decimal Fractions

    • Powers and Scientific Notation Revisited ...................................................................

    • Arithmetic with Decimal Fractions .................................................................................

    • Rational and Irrational Numbers



  • 7 Ratios, Proportions, and Percentages

    • Proportional Reasoning ...........................................................................................................

    • Calculating with Percentages ..............................................................................................



  • Part 2: Into the Unknown

  • 8 Variables and Expressions

    • Using Variables

    • Multiplying with Variables .................................................................................................

    • Dividing with Variables ........................................................................................................



  • 9 Adding and Subtracting with Variables iv Idiot’s Guides: Basic Math and Pre-Algebra

    • When Are Terms “Like Terms”?

    • Adding and Subtracting Like Terms

    • Simplifying Expressions.......................................................................................................

    • Polynomials



  • 10 Solving Equations and Inequalities .......................................

    • Using Equations to Find the Missing Number

    • One Solution or Many?



  • 11 Coordinate Graphing ...............................................................

    • The Coordinate Plane ...........................................................................................................

    • Graphing Linear Equations

    • Graphs of Inequalities



  • Part 3: The Shape of the World ......................................................

  • 12 Basics of Geometry ...................................................................

    • Points, Lines, Planes, and Angles

    • Parallel and Perpendicular Lines



  • 13 Triangles ......................................................................................

    • Facts about Triangles

    • Classifying Triangles

    • Right Triangles

    • Area and Perimeter



  • 14 Quadrilaterals and Other Polygons .......................................

    • Parallelograms

    • Rectangles .....................................................................................................................................

    • Rhombuses and Squares.......................................................................................................

    • Trapezoids

    • Perimeter of Quadrilaterals

    • Area of Quadrilaterals

    • Polygons with More than Four Sides



  • 15 Circles ..........................................................................................

    • The Language of Circles

    • Segments and Angles .............................................................................................................

    • Lines and Angles ......................................................................................................................

    • Area and Circumference ......................................................................................................20

    • Circles in the Coordinate Plane ......................................................................................



  • 16 Surface Area and Volume ....................................................... Contents v

    • Measuring Solids

    • Prisms

    • Pyramids

    • Cylinders

    • Cones

    • Spheres



  • 17 Geometry at Work ...................................................................

    • Areas of Irregular Figures ..................................................................................................22

    • Similarity and Congruence ................................................................................................

    • Indirect Measurement with Similar Triangles

    • Indirect Measurement with Trigonometry ..............................................................



  • Part 4: The State of the World

  • 18 Probability

    • Counting Methods ..................................................................................................................

    • Relative Frequency..................................................................................................................

    • Theoretical Probability ........................................................................................................

    • Probability of Compound Events



  • 19 Graphs .........................................................................................

    • Bar Graph ......................................................................................................................................

    • Histogram .....................................................................................................................................

    • Circle Graph ...............................................................................................................................

    • Line Graph



  • 20 Measures of Center and Spread

    • The Centers

    • The Separators

    • The Spread



  • Part 5: Extra Practice

  • 21 Extra Practice ...........................................................................

    • Part I: Arithmetic .....................................................................................................................

    • Part II: Algebra ..........................................................................................................................

    • Part III: Geometry ...................................................................................................................

    • Part IV: Probability and Statistics



  • A Check Point Answers .............................................................. Appendixes

  • B Extra Practice Answers

  • C Glossary

  • D Resources

  • E Measurement ............................................................................

  • Index ...........................................................................................

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