Line graph worksheets.
Follow the observations in order.

Draw four time-series line graphs from labeled tables. Read the highest observation, calculate net change and find every interval sharing the largest rise.

Use the student pack for an attempt, then compare the separate reference or worked answer. Every case is original. All PDF and editable SVG resources are free without signup; each collection pack repeats its individual sheets in the same order.

The examples and datasets are made for these worksheets. They are not measured classroom results, published textbook questions or evidence about real people. Axis values and the supplied data determine the answers; paper measurements do not replace those numbers.

LG01: A model water tank

The table gives one worked case so you can check the method. The separate answer files contain the completed plots and results for every case. Preserve the time order and the stated units when comparing plots.

1. Identifying the Correct Graph Type Begin by confirming that the resource presents four time-series line graphs rather than dot plots or slope-intercept algebra collections. The horizontal axis represents ordered equal-time numerical steps, while the vertical axis displays supplied observations. Straight segments connect consecutive observations solely for visual display purposes. These lines do not establish a continuous physical process between readings. Users must interpret the data points as discrete values connected for clarity. This distinction ensures accurate reading of the fictional classroom examples without assuming intermediate physical states exist between the recorded numerical steps on the axes.
2. Calculating Net Change and Peaks Determine the highest observation, net last-minus-first change, and maximum successive rise using only the axis units provided in the datasets. Since these are fictional classroom examples, answers rely on plotting and axis units rather than physical ruler measurement. The highest value or largest successive rise can have ties; net change is one last-minus-first result. If multiple data points share the highest value or the largest rise, list all tied instances explicitly. Do not select a single winner arbitrarily. This approach maintains accuracy for the original fictional data sets, ensuring that all valid answers are captured without relying on external standards or observed experimental results.
3. Build the sequence before comparing it Use the times in the supplied order and plot each value on the stated vertical scale. The first case uses one unit per vertical interval, while the temperature example uses two degrees C per interval. Those scales should not be silently exchanged. Connect only consecutive time observations, then calculate changes from the table. For LG01 the first and last values are 2 and 8 liters, so the net change is 6 liters. That is different from adding every upward step, since this series also has decreases.

Choose the Letter or A4 file that matches your paper. Actual size / 100% preserves the designed layout; a different uniform print scale changes physical lengths but does not change the listed numbers or the arithmetic. Keep the whole chart and all labels inside the printable area. A ruler can help draw straight segments, but calculate from the stated numerical scale.

These files have digital geometry, arithmetic and page-boundary checks. Physical printer and classroom trials have not been completed. The resources are practice material, with no claim of curriculum certification or precision-instrument accuracy. The original files use CC BY 4.0: credit Zumola, link the license and indicate changes.

Further reading: OpenStax: time-series graphs. The data tables, illustrations and exercise cases here are original Zumola work.