This activity follows from the previous activity entitled Using Input-output Tables to Graph Equations on a Coordinate Grid. This consists of 10 problems. Each problem has one page on which students complete the input-output table, identify the “rule” or pattern, and write the equation represented in the problem (e.g., Y = 4 X, or Y = X + 2), and a second page on which they draw the graph. The format is arranged so students can look at the problem/table page and the graph page simultaneously.
The problems are practical and drawn from recognizable situations. About half of them give teachers the opportunity to have students recognize the simple additive or multiplicative pattern represented in the Y columns, but also to require students to identify the equation which expresses the relationship between each X and its corresponding Y value. The latter is a 2-step equation. See the Preview File for an example.
All problems include questions which can best be answered by using the graph rather than simply looking at the table. This highlights the value of drawing a graph precisely.
All graphs are in Quadrant 1, making this activity relevant for 5th graders, and middle school students needing review in basic coordinate graphing and graphing equations.
Common Core Standards:
5.OA.3: “Generate two numerical patterns using two given rules…Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane…”
6.RP.3.a: “Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane…”