Pre Algebra Syllabus

1 The Tools of Algebra

  1.1 Using a Problem Solving Plan 

  1.2 Numbers and Expressions

  1.3 Variables and Expressions

  1.4 Properties

  1.5 Variables and Equations

  1.6 Ordered Pairs and Relations

  1.7 Scatter Plots

2 Integers

  2.1 Integers and Absolute Value

  2.2 Adding Integers

  2.3 Subtracting Integers

  2.4 Multiplying Integers

  2.5 Dividing Integers

  2.6 The Coordinate System

3 Equations

  3.1 The Distributive Property

  3.2 Simplifying Algebraic Expressions

  3.3 Solving Equations by Adding or Subtracting

  3.4 Solving Equations by Multiplying or Dividing

  3.5 Solving Two Step Equations

  3.6 Writing Two Step Equations

  3.7 Sequences and Equations

  3.8 Using Formulas

4 Factors and Fractions

  4.1 Powers and Exponents

  4.2 Prime Factorization

  4.3 Greatest Common Factor

  4.4 Simplifying Algebraic Fractions

  4.5 Multiplying and Dividing Monomials

  4.6 Negative Exponents

  4.7 Scientific Notation

5 Rational Numbers

  5.1 Writing Fractions as Decimals

  5.2 Rational Numbers

  5.3 Multiplying Rational Numbers

  5.4 Dividing Rational Numbers

  5.5 Adding and Subtracting Like Fractions

  5.6 Least Common Multiple

  5.7 Adding and Subtracting Unlike Fractions

  5.8 Solving Equations with Rational Numbers

  5.9 Measures of Central Tendency

6 Ratio Proportion and Percent

  6.1 Ratios and Rates

  6.2 Proportional and Nonproportional Relationships

  6.3 Using Proportions

  6.4 Scale Drawings and Models

  6.5 Fractions, Decimals, and Percents

  6.6 Using the Percent Proportion

  6.7 Finding Percents Mentally

  6.8 Using Percent Equations

  6.9 Percent of Change

  6.1 Using Sampling to Predict

7 Functions and Graphing

  7.1 Functions

  7.2 Representing Linear Functions

  7.3 Rate of Change

  7.4 Constant Rate of Change and Direct Variation

  7.5 Slope

  7.6 Slope Intercept Form

  7.7 Writing Linear Equations

  7.8 Prediction Equations

8 Equations and Inequalities

  8.1 Solving Equations with Variables on Each Side

  8.2 Solving Equations with Grouping Symbols

  8.3 Inequalities

  8.4 Solving Inequalities by Adding or Subtracting

  8.5 Solving Inequalities by Multiplying or Dividing

  8.6 Solving Multi.Step Inequalities

9 Real Numbers and Right Triangles

  9.1 Squares and Square Roots

  9.2 The Real Number System

  9.3 Triangles

  9.4 The Pythagorean Theorem

  9.5 The Distance Formula

  9.6 Similar Figures and Indirect Measurement

10 Two Dimensional Figures

  10.1 Line and Angle Relationships

  10.2 Congruent Triangles

  10.3 Transformations on the Coordinate Plane

  10.4 Quadrilaterals

  10.5 Polygons

  10.6 Area: Parallelograms, Triangles, and Trapezoids

  10.7 Circles: Circumference and Area

  10.8 Area: Composite Figures

11 Three Dimensional Figures

  11.1 Three Dimensional Figures

  11.2 Volume: Prisms and Cylinders

  11.3 Volume: Pyramids, Cones, and Spheres

  11.4 Surface Area: Prisms and Cylinders

  11.5 Surface Area: Pyramids and Cones

  11.6 Similar Solids

12 More Statistics and Probability

  12.1 Stem and Leaf Plots

  12.2 Measures of Variation

  12.3 Box and Whisker Plots

  12.4 Histograms

  12.5 Selecting an Appropriate Display

  12.6 Misleading Graphs

  12.7 Simple Probability

  12.8 Counting Outcomes

  12.9 Permutations and Combinations

  12.1 Probability of Composite Events

13 Polynomials and Nonlinear Functions

  13.1 Polynomials

  13.2 Adding Polynomials

  13.3 Subtracting Polynomials

  13.4 Multiplying a Polynomial by a Monomial

  13.5 Linear and Nonlinear Functions

  13.6 Graphing Quadratic and Cubic Equations