Mathematics · Grade 6

Active learning ideas

Interpreting Data Displays

Interpreting data displays requires students to move beyond passive observation into active analysis. Concrete, hands-on activities help them connect visual features to real-world meaning, especially when working collaboratively to justify their conclusions.

• Ontario Curriculum Expectations
• 6.SP.B.5.D

• 30–50 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Gallery Walk
• 45 min · Small Groups

Gallery Walk: Peer Graph Interpretations

Students create a data display from class survey results, such as favorite sports. Post displays around the room. Groups rotate to write inferences and questions on sticky notes for each graph, then discuss as a class.

Analyze how different data displays can highlight different aspects of a data set.

Facilitation Tip

During the Gallery Walk, position yourself to listen for students’ reasoning and ask ‘How did you reach that conclusion?’ to push their explanations further.

What to look for

Provide students with a simple line graph showing daily temperatures for a week. Ask them to write one sentence describing the trend in temperature and one sentence predicting the temperature for the next day, justifying their prediction with data from the graph.

• Understand
• Apply
• Analyze
• Create
• Relationship Skills
• Social Awareness

Activity 02

• Document Mystery
• 30 min · Pairs

Data Detective: Spot the Errors

Provide graphs with deliberate flaws, like missing scales or misleading axes. Pairs identify issues, explain impacts on conclusions, and redraw corrected versions. Share findings in a whole-class debrief.

Critique common misinterpretations of data presented in graphs.

Facilitation Tip

In Data Detective, circulate to ensure students are not just finding errors but also explaining how the correct data should look.

What to look for

Present students with two different graphs (e.g., a bar graph and a dot plot) representing the same set of class survey data (e.g., favorite colours). Ask them to identify one piece of information that is easier to see in the bar graph and one piece of information that is easier to see in the dot plot, explaining why.

• Analyze
• Evaluate
• Self-Management
• Decision-Making

Activity 03

• Jigsaw
• 50 min · Small Groups

Display Comparison Jigsaw

Assign small groups one data set but different display types. Experts explain how their graph highlights unique aspects, then mixed groups compare for inferences. Vote on best display for specific questions.

Predict trends or make informed decisions based on data presented in a display.

Facilitation Tip

For Display Comparison Jigsaw, assign groups carefully so each member has a distinct role in analyzing and presenting their graph’s features.

What to look for

Show students a bar graph with a misleading scale (e.g., starting the y-axis far from zero). Ask: 'What message does this graph seem to be sending? How might someone misinterpret this graph? What changes could be made to make it more accurate?'

• Understand
• Analyze
• Evaluate
• Relationship Skills
• Self-Management

Activity 04

• Document Mystery
• 35 min · Small Groups

Trend Prediction Relay

Teams line up to interpret line graphs step-by-step: read one point, predict next, justify with evidence. Pass baton to next teammate. Correct as a class and discuss real predictions.

Analyze how different data displays can highlight different aspects of a data set.

Facilitation Tip

Use the Trend Prediction Relay to time student responses and create urgency, prompting rapid but thoughtful data analysis.

What to look for

Provide students with a simple line graph showing daily temperatures for a week. Ask them to write one sentence describing the trend in temperature and one sentence predicting the temperature for the next day, justifying their prediction with data from the graph.

• Analyze
• Evaluate
• Self-Management
• Decision-Making

A few notes on teaching this unit

Teaching data interpretation works best when students create and critique their own graphs first, then compare them to real-world examples. Avoid rushing to definitions—instead, let students discover patterns by analyzing multiple displays side by side. Research shows that when students debate interpretations, they internalize the importance of context and scale more deeply than through direct instruction alone.

Students will confidently identify key data features in each display, explain how the format influences what they notice, and make reasoned predictions or critiques supported by evidence. They will also recognize common pitfalls in data presentation and adjust their own interpretations accordingly.

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Watch Out for These Misconceptions

• During Gallery Walk, watch for students who assume the tallest bar or largest value automatically represents the ‘best’ choice without considering context.

  Assign each small group a scenario (e.g., comparing prices of school lunches) and require them to present multiple factors, such as cost, nutrition, and taste, to justify their preference based on the graph.

• During Trend Prediction Relay, notice if students confuse correlation with causation when interpreting line graphs.

  Have teams graph two unrelated variables (e.g., ice cream sales and umbrellas sold) and predict one based on the other, then reveal the lack of connection to prompt a class discussion on correlation versus causation.

• During Display Comparison Jigsaw, observe if students treat dot plots as static snapshots without considering variability or spread in the data.

  Ask groups to recreate their dot plot on a large sheet, then use sticky notes to mark clusters, gaps, and outliers, forcing them to visually interpret the distribution before presenting their findings.

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Methods used in this brief

• Gallery Walk
• Document Mystery
• Jigsaw