Virginia SOL 8.PS.2.i

Math8th GradeProbability and Statistics

The Standard

Given a contextual situation, justify which graphical representation (e.g., pictographs, bar graphs, line graphs, line plots/dot plots, stem-and-leaf plots, circle graphs, histograms, and boxplots) best represents the data.

Virginia Standards of Learning for Mathematics · The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on boxplots. 

Teacher's field guide

What This Standard Means

What Students Need to Do

Students examine the data type, the question being asked, and the features readers need to compare. They choose an appropriate graph and explain why it communicates the data better than other options.

What Mastery Looks Like

Given a context and data set, students select a graph suited to categorical, numerical, time-based, or part-to-whole data. They justify the choice using distribution, change over time, median, spread, frequency, or proportion.

Common Misconceptions

Students often choose graphs by appearance rather than purpose. They may use a line graph for unrelated categories, treat histogram intervals as categories, or choose a circle graph when values are not parts of one whole. They may choose a boxplot when exact values or frequencies must be visible.

How to Assess It

Exit ticket: “A coach wants to compare the distributions of mile times for two teams. Choose a graph and explain why it is better than a line graph and a circle graph.”

Lesson moves

Ways to Teach It

  1. Give pairs one data set and graph-type cards; have them sort cards into useful, possible, and misleading, then defend each placement.

  2. Ask students to write: Which graph best shows changes in monthly rainfall, and what would be harder to see in another graph?

  3. Run Graph Match: teams pair six context cards with graph cards, earning a point when their justification names the data and purpose.

  4. Use cafeteria survey results to choose a display for meal preferences, then explain how that display would help the manager order food.

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Printable 8.PS.2.i Worksheet

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