Time Series Patterns

Overview

In lesson 20 of the “Mapping Data and Change” unit, students represent measurements collected over time on time-series graphs. They build on earlier work with tables, scales and line graphs to identify trends, cycles, interruptions and changes, and explain how intervals and labels affect interpretation.

Learning intentions

• WALT organise data collected at regular time intervals.
• WALT choose suitable intervals, labels and scales for a time-series graph.
• WALT identify and describe trends, cycles, interruptions and changes.
• WALT use evidence from a graph to communicate what the data shows.

Success criteria

• I can place time on the horizontal axis and the measured variable on the vertical axis.
• I can choose sensible intervals and label both axes, including units.
• I can accurately plot and join data points.
• I can describe a pattern and support my explanation with evidence from the graph.

Curriculum links

• Statistics — collect, organise, represent and interpret data over time.
• Mathematics and Statistics — use visual representations, scales and labels to communicate findings.
• Mathematics and Statistics — reason about variation, trends, cycles and unusual changes.
• Mathsteasers — deepen understanding through higher-order thinking and challenging interpretation questions.

Lesson structure (45 minutes)

1. 0–5 min · Hook and notice. Display the opening graph comparison showing the same weekly temperature data with two different vertical scales. Ask, “Do these graphs tell exactly the same story?” Students think, pair and share what they notice about the pattern, scale and possible message.

2. 5–12 min · Explicit teaching. Use the graph features and pattern examples to model a time-series graph: time is plotted along the horizontal axis, the measured variable and unit on the vertical axis, and points are plotted before being joined. Introduce trend, cycle, interruption and change in accessible language. Students help identify each feature and explain why equal time intervals matter.

3. 12–17 min · Teacher modelling. Model turning a small data table into a graph, deliberately choosing an appropriate scale and labelling the axes. Think aloud: “The greatest value is 28, so counting in twos will use the space well.” Students predict where the next point belongs and check the completed graph against the table.

4. 17–32 min · Pair investigation. Distribute the time-series graph investigation and the line graph template pack to pairs. Students select the template that best suits their provided data set, transfer values from the table, choose intervals, label axes, plot and join points, then answer questions about the trend, any cycle, interruption or significant change. Circulate and ask: “What does this steep section show?” and “How do you know this is an interruption rather than a trend?”

5. 32–40 min · Compare and discuss. Display the discussion prompts and graph gallery. Pairs compare their graph with another pair’s graph, checking scale, labels, accuracy and interpretation. Invite selected students to explain one pattern using evidence, such as “The number increased from 12 to 19 between Tuesday and Thursday.” Discuss how a misleading interval or missing label could lead to an incorrect conclusion.

6. 40–45 min · Plenary and exit check. Show the final challenge and reflection: a graph with one unusual point and ask students to identify the overall trend and the interruption. Students complete the final response on the worksheet: “The data shows… I know because…” Collect responses to identify students needing further support before lesson 21.

Resources

• the time-series patterns slide deck
• the time-series graph investigation
• the line graph template pack
• Pencils, rulers and coloured pencils
• Prepared data sets showing daily or weekly change
• Board or interactive display
• Copies of the selected graph templates

Assessment

• Observe whether students place time on the horizontal axis, select sensible intervals and label both axes accurately.
• Question pairs during plotting to assess understanding of trend, cycle, interruption and change, rather than accepting descriptions without evidence.
• Use the worksheet interpretation questions and final “The data shows…” response to identify accuracy, graph-reading and mathematical communication.

Differentiation

• Support students with a pre-labelled data table, a smaller data range, highlighted axis titles and a partially completed graph. Provide sentence starters such as “The overall trend is…” and “The interruption occurs when…”.
• Pair students strategically and allow students to use counters or a ruler to track corresponding time and value before plotting.
• For students ready for challenge, provide two data sets with different scales and ask them to justify which graph communicates the change most clearly, or to design a data set containing a trend, cycle and interruption.
• For English language learners and students requiring additional support, pre-teach the pattern words with simple examples, read instructions aloud, and accept oral explanations alongside written responses.