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8.F.1-5
Students visualize function terms
| term | visualization |
|---|---|
| function | rule that assigns to each input exactly one output; students visualize each x assigned to only 1 y; table, graph, ordered pair; mapping, verbal description visualizations |
| input | x |
| output | y |
| ordered pair | (x, y) |
| rate of change | slope; m; ∆y/∆x; y-y/x-x; rise/run |
| linear function | straight line function; y=mx+b |
| non-linear function | not a straight line (graph); non-linear equations; tables are graphed |
| initial value | b; y-intercept; starting point |
| functional relationship | piecemeal function (students model and explain verbally) |
| increasing | positive slope |
| decreasing | negative slope |