| Term | Definition |
|---|
| variable | a symbol that can be replaced by any one of a set of numbers or other objects |
| algebraic expression | when numbers and variables are combined |
| is less than | < |
| less than | x-y |
| less | y-x |
| greater than | > |
| model for an operation | a pattern that describes many of the uses of that operation |
| replacement set/domain | set of meaningful numbers or things that can be substituted for a variable |
| natural numbers/counting numbers | {1,2,3,4...} |
| whole numbers | {0,1,2,3...} |
| integers | {0,1,-1, 2, -2...} |
| rational numbers | those numbers that can be represented by fractions |
| real numbers | those numbers that can be represented by decimals |
| positive real numbers | those real numbers greater than zero |
| evaluating an expression | substituting for the variables and calculating a result |
| equation | a sentence stating that two expressions are equal |
| formula | a sentence stating that a single variable is equal to an expression with one or more variables on the other side |
| sequence | an ordered list |
| term | each item on the list of a sequence |
| subscript/index | a number or variable written below and to the right of a variable |
| subscripted variables | a number or variable indicating the position a number falls in a sequence of numbers |
| explicit formula for the nth term | t sub n=((n+1)(n+2))/2 |
| recursive formula/definition | a. indicates the first term b. gives a rule for how he nth term is related to one or more of the previous terms |
| postulates/definition | statements assumed to be true in a mathematical system |
| theorems | a postulate/definition proved |
| properties | postulates, theorems, definitions |
| conjecture | educated guess |
| counterexample | an example that proves a conjecture to be wrong |
| open sentence | a sentence that may be true or false depending on what values are substituted for the variables |
| solution | values that make a sentence true |
| equivalent sentences | sentences with the same solutions |
| inequality | a sentence that contains <, >, greater/less than or equal to symbols |
| interval | a solution to an inequality of the form that involves symbols that can be replaced |
| nth term | the equation that allows any number of a sequence to be found |
Combine with other sets
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