Pre-Algebra Book

1. Solving Equations Using Addition & Subtraction
    a)  Variables & Algebraic Expressions
    b)  Evaluating Algebraic Expressions
    c)  Rounding Decimals
    d)  Estimating & Computing Decimal Sums
    e)  Estimating & Computing Decimal Differences
    f)  Solving Addition Equations
    g)  Solving Subtraction Equations
    h)  More on Solving Equations
2.  Solving Equations Using Multiplication & Division
     a)  Algebraic Expressions
     b)  Evaluating Algebraic Expressions
     c)  Estimating & Computing Decimal Products
     d)  Estimating & Computing Decimal Quotients
     e)  Dividing a Decimal by a Decimal
     f)  Dividing a Decimal by 10, 100, or 1000
     g)  Solving Multiplication Equations
     h)  Solving Division Equations
3.  Solving Equations Using Number Properties
     a)  Order of Operations
     b)  Properties of Addition
     c)  Properties of Multiplication
     d)  Solving Equations using the Commutative Properties
     e)  Solving 2 step Equations
     f)  More on 2-step Equations
     g)  The Distributive Property
     h)  Simplifying Expressions
     i)  Solving Equations Containing Like Terms
4.  Integers & Equations
     a)  Ordering and Comparing Integers
     b)  Thinking of Integers as Charged Particles
     c)  Adding Integers
     d)  Subtracting Integers
     e)  Multiplying Integers
     f)  Dividing Integers
     g)  Solving Addition & Subtraction Equations
     h)  Solving Multiplication & Division Equations
     i)  Solving 2-step Equations with Integers
5.  Algebra Using Exponents & Fractions
     a)  Exponents
     b)  Laws of Exponents
     c)  Writing Number in Scientific Notation
     d)  Divisibility
     e)  Prime & Algebraic Factorization
     f)  Greatest Common Factor & Least Common Multiple
     g)  Equivalent Algebraic Expressions
     h)  Writing Fractions in Lowest Terms
     i)  Least Common Denominator of Algebraic Expressions
     j)  Comparing Fractions
6.  Algebra Using Sums & Differences of Fractions
     a)  Writing Whole Numbers & Mixed Numbers as Fractions
     b)  Writing Fractions as Whole Numbers or as Mixed Numbers
     c)  Writing Fractions & Mixed Numbers in Simplest Form
     d)  Fractions & Decimals
     e)  Add & Subtract Algebraic Fractions - Common Denominators
      f)  Add & Subtract Algebraic Fractions - Different Denominators
     g)  Fractions with Different Algebraic Denominators
     h)  Adding & Subtracting Mixed Numbers without Regrouping
      i)  Adding & Subtracting Mixed Numbers with Regrouping
7.  Algebra Using Products & Quotients of Fractions
     a)  Multiplying Algebraic Fractions
     b)  Multiplying Mixed Numbers
     c)  Dividing Algebraic Expressions
     d)  Dividing Mixed Numbers
     e)  Finding a Fraction of a Whole Number
     f)  Multiplying a Whole Number by a Mixed Number
     g)  Finding a Number when a Fraction of It Is Known
8.  Algebra Using Rational Numbers
     a)  Rational Numbers
     b)  Writing Rational Numbers
     c)  Adding & Subtracting Rational Numbers
     d)  Multiplying & Dividing Rational Numbers
     e)  Solving Equations Having Rational Solutions
     f)  Simplifying Expressions by Combining Like Forms
     g)  Solving Equations by Combining Like Forms
     h)  Solving Equations with a Variable on Each Side
9.  Using Algebra in Ratio, Proportion, and Percent
     a)  Equivalent Algebraic Ratios
     b)  Solving Proportions
     c)  Solving Rate Problems
     d)  Changing Percents to Fractions or Decimals
     e)  Changing Fractions & Decimals to Percents
     f)  Finding a Percent of a Number
     g)  Estimating a Percent of a Number
     h)  Finding the Number when a Percent is Known
     i)  Percent of Increase & Decrease
10.  Using Algebra in Geometry
       a)  Lines & Angles
       b)  Classifying Triangles
       c)  Parallel & Perpendicular Lines
       d)  Geometric Constructions
       e)  Polygons
       f)  Metric Units of Length
       g)  Changing Units in the Metric System
       h)  Perimeter
       i)  Circumference
       j)  Area - Squares & Rectangles
       k)  Area - Parallelograms
       l)  Area - Triangles
       m) Area - Circles
11.  Geometry - Surface Area & Volume
       a)  Space Figures
       b)  More on Space Figures
       c)  Surface Area - Rectangular Prisms
       d)  Volume - Rectangular Prisms
       e)  Volume - Cylinders
        f)  Volume - Pyramids & Cones
       g)  Metric Units of Capacity & Weight
       h)  Relating Metric Units of Volume, Capacity,
            & Weight
12. Graphing Equations & Inequalities
      
a)  Graphing Inequalities on the Number Line
       b)  Solving Inequalities
       c)  Solving 2-Step Inequalities
       d)  Graphing Ordered Pairs
       e)  Equations with Two Variables
       f)  Graphing Linear Equations
       g)  Slope & Intercept
       h)  Graphing Linear Inequalities
       i)  Systems of Linear Equations
13.  Probability & Statistics
       a)  A Basic Counting Principle
       b)  Permutations
       c)  Probability
       d)  Sample Space
       e)  Probability - Independent Events
       f)  Probability - Dependent Events
       g)  Expectation
       h)  Analyzing Data - Line Plots
       i)  Interpreting Data - Graphs
       j)  Analyzing Data - Stem & Leaf Plots
       k)  Misleading Statistics
14.  Polynomials
       a)  Polynomials
       b)  Adding Polynomials
       c)  Subtracting Polynomials
       d)  Multiplying Polynomials by Monomials
       e)  Dividing Polynomials by Monomials
       f)  Solving Equations Containing Polynomials
15.  Similar & Right Triangles
       a)  Similar Figures
       b)  Similar Right Triangles
       c)  Tangent of an Angle
       d)  Sine & Cosine of an Angle
       e)  Using Trigonometry to find a Side
       f)  Using Trigonometry to find an Angle
       g)  Square Roots
       h)  The Pythagorean Theorem

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This page was created by: Jessica M.
This page was last updated on: 11/03/10