Unit 1

(20 days)

Real Number System: any number that can be placed on a number line.
Irrational Numbers: any number that cannot be expressed in fraction form; its decimal form is infinite and non-repeating.
Rational Numbers: any number that can be expressed in fraction form; its decimal form can be terminating or repeating.
Decimal Expansion: the decimal form of a fraction.

Exponent: a quantity representing the power to which a given number or expression is to be raised. The exponent of a number says how many times to use that number in a multiplication. For example, in the expression 8² , the exponent is 2.
Base: The number that is going to be raised to a power. For example, in the expression 8² , the base is 8.
Radical: the symbol, √ , that is used to indicate a square root or other roots.
Squared: a number multiplied by itself, also called "the second power." For example, 3² = 3*3, which is 9.
Square Root: The square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4.
Cubed: a number that is multiplied by itself 3 times, also called "the third power." For example, 2³ = 2*2*2, which is 8.
Cube Root: The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3.

Pythagorean Theorem: a relationship between the sides of a right triangle. The formula that states the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c² .
Hypotenuse: The longest side of a right triangle that is opposite of the right angle.
Leg: Either of the two sides of a right triangle that is not the hypotenuse.
Converse: Using the Pythagorean Theorem, if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. Used to prove if a triangle is a right triangle.

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