MATH - Grades 7-8 DEMO

Historical Beginnings • The Place Value System • The Branches of Mathematics • Numerical and Literal Numbers • Signs & Symbols • Expressing More Relationships Between Numbers

2.

Basic Operations

Signs of Operation • Multiplication Signs • Division Signs • Addition & Subtraction • But Then - What is Subtraction? • Multiplication & Division with Positive and Negative Numbers • Summary

3.

Order of Operations & Combining Terms

Combining Terms Simplified • When, What, & How • Definitions • Summary

4.

Problems Involving Addition, Subtraction, Multiplication, and Division

Fractions • Introduction • Addition & Subtraction of Fractions • Common Denominators & Equivalent Fractions • Subtraction of Fractions

5.

Multiplying and Dividing Fractions

Expanding and Reducing Fractions • Multiplication of Fractions • Reciprocals • • Division of Fractions • Summary

6.

Operations with Decimals

Operations with Decimals • Addition and Subtraction of Decimals • Multiplication with Decimals • Division with Decimals • Percent, Decimals, and Fractions • Behavior of Exponents • Summary

7.

Geometric Lines, Figures and Relationships

Expressing Relationships Between Figures - Similar and Congruent • Intersecting, Parallel, and Transversal Lines, Exterior, Interior, and Corresponding Angles • Recognizing Figures - Triangles, Quadrilaterals, etc. • Curved Figures - Circles, Parabolas, etc. • Summary

8.

Powers, Roots and Radicals

Raising Numbers to Various Powers • Rules of Exponents • Roots & Radicals • Signed Numbers & Roots • Rational & Irrational Numbers • Real & Imaginary Numbers • Finding Square Roots & Other Roots • Summary

9.

Geometric Formulas

Instruction Formulas • Perimeter Formulas • Area Formulas • Volume Formulas - Cubes, Rectangles, Cylinders, Cones and Spheres • Formulas Involving Angles - Interior and Exterior Angles of Polygons and Regular Polygons • Pythagorean Theorem

10.

Basic Operations with Literal Numbers

Addition, or Combining Terms, with Literal Numbers • Subtraction with Literal Numbers • Multiplication with Literal Numbers • Division with Literal Numbers • Grouping Numbers - Numbers Preceded by Plus and Minus Signs, etc. • Treating Units as Literal Numbers • Summary

11.

Solving Basic Equations

Basic Operations • Adding the Same Number to Each Side of an Equation, Solving for an Unknown • Subtracting the Same Number to Each Side of an Equation, Solving for an Unknown • Dividing the Same Number to Each Side of an Equation, Solving for an Unknown • Squares and Square Roots • Solving Equations when Several Terms and Procedures are Involved • When to do What • Summary

12.

Solving Problems with Algebra

Changing Words into Math • Setting up and Solving Equations • Summary

13.

Using Functions in Solving Right Triangle Problems

What is a Function? • Other Commonly Used Functions - Cosine and Tangent • Sine-Cosine Relationships • Interpolation • Interpolating to Find the Function When You Know the Angle • Other Functions in a Right Triangle - Not Used as Commonly: Secant, Cosecant, and Cotangent • Summary

14.

Further Applications of Formulas and Functions

The Application of Equation Rules to Formulas • The Application of Formulas to Partial and Irregular Figures • 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 • Final Topics • Final Considerations

15.

Simultaneous Linear Equations

Why Do We Need Two Equations? • Solving Two Equations By The Substitution Method • Solving Two Equations By The Addition - Subtraction Method • Simultaneous Equations With Strange Solutions • Summary

16.

Quadratic Equations

Solving Quadratic Equations • Joe's Method • Completing the Square • Perfect Square Trinomial • Quadratic Formula • Type of Roots • Quadratic Word Problems

17.

Graphs

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

18.

Statistics and Probability

What are Statistics? • Probability • Methods of Collecting, Representing, & Displaying Data • Data Calculations

19.