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Math Table of Contents, 
Middle/High School, Grades 6-8

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1. The Language of Mathematics (top)

   1. Historical Beginnings
   2. The Place Value System
   3. The Branches of Mathematics (Arithmetic, Algebra, Geometry, Trigonometry, Calculus)
   4. Numerical and Literal Numbers
   5. Signs & Symbols
   6. Expressing More Relationships Between Numbers
       
2. Basic Operations (top)
   1. Signs of Operation
   2. Multiplication Signs
   3. Division Signs
   4. Addition & Subtraction
   5. But Then - What is Subtraction?
   6. Multiplication & Division with Positive and Negative Numbers
   7. Summary
       
3. Order of Operations & Combining Terms (top)
   1. Combining Terms Simplified
   2. When, What, & How
   3. Definitions
   4. Summary
       
4. Fractions (top)
   1. Introduction
   2. Addition & Subtraction of Fractions
   3. Common Denominators & Equivalent Fractions
   4. Subtraction of Fractions
       
5. Multiplying and Dividing Fractions (top)
   1. Expanding and Reducing Fractions
   2. Multiplication of Fractions
   3. Reciprocals
   4. Division of Fractions
   5. Summary
       
6. Operations with Decimals (top)
   1. Operations with Decimals
   2. Addition and Subtraction of Decimals
   3. Multiplication with Decimals
   4. Division with Decimals
   5. Percent, Decimals, and Fractions
   6. Behavior of Exponents
   7. Summary
       
7. Geometric Lines, Figures and Relationships (top)
   1. Expressing Relationships Between Figures - Similar and Congruent
   2. Lines and Angles - Intersecting, Parallel, and Transversal Lines, Exterior, Interior, and Corresponding Angles
   3. Recognizing Figures - Triangles, Quadrilaterals, etc.
   4. Curved Figures - Circles, Parabolas, etc.
   5. Summary
       

8. Powers, Roots and Radicals (top)

   1. Raising Numbers to Various Powers
   2. Rules of Exponents
   3. Roots & Radicals
   4. Signed Numbers & Roots
   5. Rational & Irrational Numbers
   6. Real & Imaginary Numbers
   7. Finding Square Roots & Other Roots
   8. Summary
       

9. Geometric Formulas (top)

   1. Instruction Formulas
   2. Perimeter Formulas
   3. Area Formulas
   4. Volume Formulas - Cubes, Rectangles, Cylinders, Cones and Spheres
   5. Formulas Involving Angles - Interior and Exterior Angles of Polygons and Regular Polygons
   6. Pythagorean Theorem
       

10. Basic Operations with Literal Numbers (top)

    1. Addition, or Combining Terms, with Literal Numbers
    2. Subtraction with Literal Numbers
    3. Multiplication with Literal Numbers
    4. Division with Literal Numbers
    5. Grouping Numbers - Numbers Preceded by Plus and Minus Signs, etc.
    6. Treating Units as Literal Numbers
    7. Summary
        

11. Solving Basic Equations (top)

    1. Basic Operations
    2. Adding the Same Number to Each Side of an Equation, Solving for an Unknown
    3. Subtracting the Same Number to Each Side of an Equation, Solving for an Unknown
    4. Dividing the Same Number to Each Side of an Equation, Solving for an Unknown
    5. Squares and Square Roots
    6. Solving Equations when Several Terms and Procedures are Involved
    7. When to do What
    8. Summary
        

12. Solving Problems with Algebra (top)

    1. Changing Words into Math
    2. Setting up and Solving Equations
    3. Summary
        

13. Using Functions in Solving Right Triangle Problems (top)

    1. What is a Function?
    2. Other Commonly Used Functions - Cosine and Tangent
    3. Sine-Cosine Relationships
    4. Interpolation
    5. Interpolating to Find the Function When You Know the Angle
    6. Other Functions in a Right Triangle - Not Used as Commonly: Secant, Cosecant, and Cotangent
        

14. Further Applications of Formulas and Functions (top)

    1. The Application of Equation Rules to Formulas
    2. The Application of Formulas to Partial and Irregular Figures
    3. How to Use Functions to Solve for Angles and Sides of Oblique Triangles
    4. The Law of Sines 
    5. The Law of Cosines and The Law of Tangents
    6. Final Topics
    7. Final Considerations
        
15. Simultaneous Linear Equations (top)
    1. Why Do We Need Two Equations?
    2. Solving Two Equations By The Substitution Method
    3. Solving Two Equations By The Addition - Subtraction Method
    4. Simultaneous Equations With Strange Solutions
    5. Summary
        
16. Quadratic Equations (top)
    1. Solving Quadratic Equations
    2. Joe's Method 
    3. Completing the Square
    4. Perfect Square Trinomial
    5. Quadratic Formula
    6. Type of Roots
    7. Quadratic Word Problems
        
17. Graphs (top)
    1. Visually Representing Numerical Data
    2. Splitting up the Whole with Pie Graphs
    3. Showing the Overlap with Venn Diagrams
    4. Comparing Categories with Bar Graphs
    5. Seeking Trends with Line Graphs
    6. Showing Orderly Data with Histograms
    7. Functions as Graphs in the Coordinate System
        
18. Statistics and Probability (top)
    1. What are Statistics?
    2. Probability
    3. Methods of Collecting, Representing, & Displaying Data
    4. Data Calculations
        
19. Linear and Non-Linear Functions (top)
    1. Graph Functions of the Form of y = nx² and y = nx³
    2. Volume-Edge Plots
    3. Graphing Linear Functions
    4. Plot Values of Quantities Whose ratios are Always the Same
        
20. Linear Inequalities (top)
    1. Two Step Method
    2. Multistep Method
        
21. Ratios and Measurement Systems (top)
    1. Comparisons Between and Within Measurement Systems
    2. Construct and Read Drawings and Models Made to Scale
    3. Measures Expressed as Rates and Products
        
22. Data Analysis (top)
    1. Scatter Plot
    2. Minimum, Lower Quartile, Median, Upper Quartile, Maximum
        
23. High School Exit Exam (top)
     
24. Glossary (top)
    1. absolute to hypothesis
    2. inequality to zeros of a function