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This module corresponds to the Junior High and early High School curricula It contains Basic Math, including Terms and Definitions, and Algebra, including Fundamental Algebra Laws and Basic Algebraic Operations. The Geometry section includes: circles, triangles, the coordinate plane, polygons, proof, solids and transformations.

Basic Math

For example: Finding the Lowest Common Denominator (LCD) - Given two or more fractions, the lowest common denominator (LCD) is the smallest whole number which is a multiple of each of the denominators; the LCD of {1/2, 1/3} is 6.

Basic Math Terms and Definitions

For example: Rational Number - A rational number is any real number whose decimal expansion either terminates or repeats. Any rational number may be expressed as the quotient of two integers A/B where B is nonzero. The set of rational numbers is denoted by the symbol Q.

Algebra Terms and Definitions

For example: Cubic Polynomial
A cubic polynomial is a polynomial of degree equal to 3. 5x3 - 4x2 + 5x - 9 is a cubic polynomial.

Fundamental Algebra Laws

For example: Multiplicative Inverses
For every nonzero real number X there is a unique real number
1/X such that X * 1/X = 1. The number 1/X is called the multiplicative inverse of X.

Basic Algebraic Operations

For example: Adding Expressions with Like Signs
To add two expressions with like signs, add the expressions without the signs and write the original sign in front of the sum.
(-A) + (-B) = -(A + B)

Postulates and Properties

For example: P-2. Transitive Law If A = B and B = C, then A = C.

Laws of Exponents

For example: P-3. (x^m)ⁿ = x^mn.

Geometry

For example: Theorem-3 The point-slope form of the line in the coordinate plane passing through the point (x1,y1) with slope equal to m is the equation: y - y1 = m(x - x1).
The equation of a line with slope -2 and passing through the point (1,-3) is:
m = -2; x1 = 1; and y1 = -3
y - (-3) = -2 (x-1)
or
y + 3 = -2x + 2
or
y = -2x - 1.

Conversions

For example: Acres to Sq. Ft Multiply by 43,560
5 acres = (5 * 43,560) or 217,800 square feet

Cubic Meters to Cubic Yards Multiply by 1.3079
5 cubic meters = (5 *1.3079) or 6.5395 cubic yards

Weights & Measures

For example: 1 quart (qt) = 0.946 liters
1 gallon (gal) = 4 quarts
1 gallon (gal) = 3.785 liters

1 kilogram (kg) = 2.2046 pounds
1 metric ton (t) = 1000 kilograms
1 metric ton (t) = 1.102 tons