| Term | Definition |
| inductive reasoning | the process of making observations, finding patterns, and making generalizations (conjectures) |
| conjectures | the generalizations you make when using inductive reasoning |
| linear function | rules that generate a sequence with a constant difference |
| mathematical modeling | a mathematical way of representing a real world situation, such as a geometric figure, table, graph, or equation |
| handshake formula | n(n-1)/2 |
| total diagonal formula | n(n-3)/2 |
| diagonals from one point formula | n(n-3) |
| triangular numbers | numbers that can be arranged in a triangular pattern |
| rectangular numbers | numbers that can be arranged as rectangles with sides n and n-1 |
| deductive reasoning | the process of showing that certain statements follow logically from agreed upon assumptions and proven facts |
| vertical angles | angles formed by two lines that share a common vertex but no common sides |
| linear pair of angles | two angles that share a vertex and a side and the non common side forms a line |
| transversal | a line intersecting two or more coplanar lines |
| corresponding angles | pair of angles that lie on the same side of the transversal and on the same side of the parallel lines (congruent) |
| alternate interior angles | a pair of angles that lie on opposite sides of the transversal and inside the parallel lines (congruent) |
| alternate exterior angles | a pair of angles that lie on opposite sides of the transversal and outside the parallel lines (congruent) |
| converse | the statement formed by exchanging the antecedent (if) with the consequent (then) |
| slope formula | m=y₂-y₁/x₂-x₁ |