Mathematics · Grade 8

Active learning ideas

Constructing Scatter Plots

Active learning helps students grasp scatter plots because moving from abstract numbers to physical and visual representations engages multiple senses. When students collect their own data or manipulate real objects, they build intuition about variables and relationships before formalizing them on a grid.

• Ontario Curriculum Expectations
• 8.SP.A.1

• 25–45 min
• Pairs → Whole Class
• 3 activities

Activity 01

• Inquiry Circle
• 45 min · Whole Class

Inquiry Circle: The Human Scatter Plot

Students collect data on two variables (e.g., shoe size vs. height) from their classmates. They then 'become' the data points by standing on a large grid on the floor or using sticky notes on a giant wall-grid to create a live scatter plot and discuss the trend they see.

Explain how to accurately represent bivariate data on a scatter plot.

Facilitation Tip

During The Human Scatter Plot, position yourself at the center of the room to monitor data entry and ask guiding questions about variable choice as students place themselves.

What to look for

Provide students with a small data set (e.g., hours studied vs. test score). Ask them to identify the independent and dependent variables, then sketch a scatter plot on mini-whiteboards. Observe their plotting accuracy and variable assignment.

• Analyze
• Evaluate
• Create
• Self-Management
• Self-Awareness

Activity 02

• Gallery Walk
• 35 min · Small Groups

Gallery Walk: Spot the Outlier

Post several scatter plots around the room showing different Canadian data (e.g., temperature vs. latitude, population vs. area). Students move in groups to identify the type of association and circle any outliers, writing a possible 'story' for why that outlier exists.

Differentiate between independent and dependent variables when creating a scatter plot.

Facilitation Tip

For the Gallery Walk, assign small groups to specific stations and provide sticky notes for labeling outlier observations.

What to look for

Give students a scatter plot showing a clear trend. Ask them to write one sentence describing the relationship (e.g., positive correlation) and one sentence explaining what an outlier might represent in this context.

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

Activity 03

• Think-Pair-Share
• 25 min · Pairs

Think-Pair-Share: Correlation vs. Causation

Show a scatter plot with a strong correlation but no logical link (e.g., ice cream sales vs. shark attacks). Students think about whether one causes the other, pair up to find the 'hidden variable' (summer heat), and share why correlation doesn't always mean causation.

Construct a scatter plot from a given data set.

Facilitation Tip

In the Think-Pair-Share, circulate to listen for misconceptions about causation and redirect with counterexamples during partner discussions.

What to look for

Present two different scatter plots, one showing a strong positive correlation and another showing no correlation. Ask students: 'How do these plots differ visually? What does each type of pattern tell us about the relationship between the two variables?'

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Teach scatter plots by starting with familiar contexts, such as comparing study time to test scores, so students see relevance. Emphasize that correlation describes a pattern, not proof of cause, and reinforce this by modeling how to ask, 'What other factors could explain this?' Avoid rushing to formal definitions before students have explored raw data. Research shows concrete experiences first lead to stronger abstract understanding later.

Successful learning looks like students confidently identifying independent and dependent variables, accurately plotting points, and describing trends using precise vocabulary. They should also articulate why outliers matter and distinguish between correlation and causation with clear examples.

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Watch Out for These Misconceptions

• During Collaborative Investigation: The Human Scatter Plot, watch for students who label the axes incorrectly or confuse which variable belongs on which axis.

  Remind students that the independent variable (the one you control) goes on the x-axis and the dependent variable (the one you measure) goes on the y-axis. Use student examples to clarify.

• During Gallery Walk: Spot the Outlier, watch for students who dismiss outliers as 'mistakes' without considering their significance.

  Prompt groups to discuss possible reasons for outliers, such as measurement error or a unique event, and record their hypotheses on sticky notes for class sharing.

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Methods used in this brief

• Inquiry Circle
• Gallery Walk
• Think-Pair-Share