| A | B |
|---|
| Unit Rate | a ratio between two different units where one of the terms is 1 |
| Slope | rate of change in y (vertical) compared to the rate of change in x (horizontal), or or , denoted as m in y = mx + b |
| y-intercept | y-coordinate of a point at which the relationship crosses the y-axis meaning the x-coordinate is equal to zero, denoted as b in y = mx + b |
| linear proportional relationship | · Represented by y = kx or y = mx + b (slope intercept form), where b = 0 For y = kx ; k is the slope For y = mx + b ; m is the slope · Constant of proportionality represented as k = · Constant slope represented as m = or m = or m = · Passes through the origin (0,0) meaning b = 0 in y = mx + b; b represents the y-coordinate when the x-coordinate of the ordered pair is 0, (0,b) |
| multiple representation | showing a relationship in more than one way; verbally (with written or oral words), algebraically (both y = kx and kx = y forms), graphically, and tabular (in table form) |
| Linear non-proportional relationship | · Represented by y = mx + b, where b ≠ 0 · Does not pass through the origin (0,0) meaning the y-intercept, b, is not 0 · Constant slope represented as m = or m = or m = |
| Multiple representations of linear non-proportional problem situations | Verbal; Table (horizontal/vertical) Graph; Algebraic (Both y =mx + b and mx + b = y forms) |
| Direct variation | a linear relationship between two variables, x (independent) and y (dependent), that always has a constant unchanged ratio, k, and can be represented by y = kx; proportional relationship distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0. |
| Function | relation in which each element of the input (x) is paired with exactly one element of the output (y) Identify functions using sets of ordered pairs, tables (horizontal and vertical), mappings, and graphs. |
| Mapping | graphic representations of information using bubble and arrows |
