MY DIFFICULT WORDS TO EXPRESS MATHEMATICAL IDEAS

*PRINTSTORMING
Axiom
Binomial
Continuous function
Composite number
Diameter of a circle or sphere
Even function
Explicit function
Hypotenuse
Identity function
Uncountably infinite
Vector
Theorem
Transformations
Two dimensional
Rational equation
Range
Quadrants
Perfect square
Factorial
Probability
One-to-One function
Acute angle
Acute triangle
Bisector
Combination
Matrix
Modular numbers
Exponent
Hyperbola
Horizontal

*MEANINGS OF MY DIFFICULT WORDS
1. Axiom is a statement accepted as true without proof. An axiom should be so simple and direct that it is unquestionably true.
2. Binomial is a polynomial with two terms which are not like terms.
3. Continuous function is a function with a connected graph.
4. Composite number is a positive integer that has factors other than just 1 and the number itself. For example, 4, 6, 8, 9, 10, 12, etc. are all composite numbers. The number 1 is not composite.
5. Diameter of a circle or sphere is a line segment between two points on the circle or sphere which passes through the center.
6. Even function is a function with a graph that is symmetric with respect to the y-axis. A function is even if and only if f(–x) = f(x).
7. Explicit function is a function in which the dependent variable can be written explicitly in terms of the independent variable.
8. Hypotenuse is the side of a right triangle opposite the right angle. Note: The hypotenuse is the longest side of a right triangle.
9. Identity function is the function f(x) = x. More generally, an identity function is one which does not change the domain values at all.
10. Uncountably infinite
Describes a set which contains more elements than the set of integers. Formally, an uncountably infinite set is an infinite set that cannot have its elements put into one-to-one correspondence with the set of integers. For example, the set of real numbers is uncountably infinite.
11. Vector is a quantity, drawn as an arrow, with both direction and magnitude. For example, force and velocity are vectors.
12. Theorem is an assertion that can be proved true using the rules of logic. A theorem is proven from axioms, postulates, or other theorems already known to be true.
13. Transformations is operations that alter the form of a figure. The standard transformations are translations, reflections, dilations (stretches), compressions (contractions or shrinks), and rotations.
14. Two dimensional is the property of a plane that indicates that motion can take place in two perpendicular directions.
15. Rational equation is an equation which has a rational expression on one or both sides of the equal sign. Sometimes rational equations have extraneous solution.
16. Range is the set of y-values of a function or relation. More generally, the range is the set of values assumed by a function or relation over all permitted values of the independent variable(s).
17. Quadrants are the four sections into which the x-y plane is divided by the x- and y-axes.
18. Perfect square is any number that is the square of a rational number.
19. Factorial is the result of all numbers smaller natural or equal to natural number that expressed specifically. Example, 4! = 1.2.3.4 = 24.
20. Probability is the likelihood of the occurrence of an event. The probability of event A is written P(A). Probabilities are always numbers between 0 and 1, inclusive.
21. One-to-One function is a function for which every element of the range of the function corresponds to exactly one element of the domain. One-to-one is often written 1-1.
22. Acute Angle is an angle that has measure less than 90°.
23. Acute Triangle is a triangle for which all interior angles are acute.
24. Bisector is a line segment, line, or plane that divides a geometric figure into two congruent halves.
25. Combination is a selection of objects from a collection. Order is irrelevant.
26. Matrix is a rectangular (or square) array of numbers. Matrices can be written using brackets or parentheses.
27. Modular numbers is the value of an integer modulo n is equal to the remainder left when the number is divided by n. Modulo n is usually written mod n.
28. Exponent is x in the expression ax. For example, 3 is the exponent in 23.
29. Hyperbola is a conic section that can be thought of as an inside-out ellipse. Formally, a hyperbola can be defined as follows: For two given points, the foci, a hyperbola is the locus of points such that the difference between the distances to each focus is constant.
30. Horizontal is perfectly flat and level. For example, the horizon is horizontal. So is the floor.