8th GRADE
Following is a list of topics covered under 8th grade math. This may not be a complete list; the tutoring sessions, however, are customized based on the text you are using to create a tailored online math tutoring program for you. Numbers and Operations
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The Place Value System, Basic Operations |
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Positive and negative numbers Order of Operations & Combining Terms |
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Fractions |
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Decimals |
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Exponents and Powers |
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Real numbers & Imaginary numbers |
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Rational and Irrational Numbers |
Geometry
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Expressing Relationships Between Figures - Similar and Congruent |
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Intersecting, Parallel, and Transversal Lines, Exterior, Interior, and Corresponding Angles |
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Recognizing Figures - Triangles, Quadrilaterals, etc. |
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Curved Figures - Circles, Parabolas |
Geometric Formulas
I nstruction Formulas
Perimeter Formulas
Area Formulas
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Volume Formulas - Cubes, Rectangles,Cylinders, Cones and Spheres |
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Formulas Involving Angles - Interior and Exterior Angles of Polygons and Regular Polygons |
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Pythagorean Theorem |
Algebra Solving Basic Equations
Basic Operations
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Adding the Same Number to Each Side of an Equation, Solving for an Unknown |
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Subtracting the Same Number to Each Side of an Equation, Solving for an Unknown |
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Dividing the Same Number to Each Side of an Equation, Solving for an Unknown |
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Squares and Square Roots |
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Solving Equations when Several Terms and Procedures are Involved |
Solving Problems with Algebra
Changing Words into Math
Setting up and Solving Equations
Using Functions in Solving Right Triangle Problems
Cosine and Tangent
Sine-Cosine Relationships
Interpolation
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Interpolating to Find the Function When You Know the Angle |
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Other Functions in a Right Triangle - Not Used as Commonly: Secant, Cosecant, and Cotangent |
Further Applications of Formulas and Functions
The Application of Equation Rules to Formulas
The Application of Formulas to Partial and Irregular Figures
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How to Use Functions to Solve for Angles and Sides of Oblique Triangles |
The Law of Sines
The Law of Cosines and The Law of Tangents
Simultaneous Linear Equations
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Solving Two Equations by The Substitution Method |
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Solving Two Equations By The Addition - Subtraction Method |
Quadratic Equations
Solving Quadratic Equations. Quadratic Formula
Type of Roots
Quadratic Word Problems
Data Representation
Visually Representing Numerical Data
Splitting up the Whole with Pie Graphs
Showing the Overlap with Venn Diagrams
Comparing Categories with Bar Graphs
Seeking Trends with Line Graphs
Showing Orderly Data with Histograms
Functions as Graphs in the Coordinate System
Statistics and Probability
Statistics
Probability
Methods of Collecting, Representing, & Displaying Data
Data Calculations
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