Virginia SOL 6.PS.1.f
The Standard
Compare data represented in a circle graph with the same data represented in other graphs, including but not limited to bar graphs, pictographs, and line plots (dot plots), and justify which graphical representation 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 circle graphs.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students read the same data shown in several graph types and compare what each display makes easy to see. They choose the best graph for a stated purpose and justify that choice with evidence.
What Mastery Looks Like
- A student matches categories, values, and totals across different displays. The student chooses a graph based on the question being asked and supports the choice with specific values or visual features.
Common Misconceptions
- Students may compare slice sizes without converting percentages to counts or checking the total. They may assume circle graphs are always best for categorical data, even when exact differences matter. They may use a dot plot for categories or overlook a graph's scale or key.
How to Assess It
- Show 24 survey responses, 9, 7, 5, and 3, in a circle graph, bar graph, and pictograph. Ask, "Which graph best shows the two closest categories, and what values support your choice?"
Lesson moves
Ways to Teach It
Give groups 24 linking cubes in four colors, then have them build a bar graph, arrange circle sectors, and compare what stands out.
Post circle and bar graphs of snack choices, then ask students to write which better answers, "Which choices are closest?"
Run a Graph Match relay where teams pair data tables with circle graphs, bar graphs, pictographs, or dot plots, then defend one match.
Use a cafeteria waste survey to decide whether a circle graph or bar graph better explains where most discarded food comes from.
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Printable 6.PS.1.f Worksheet
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Related Standards
- 7.PS.2.f
Compare data represented in histograms with the same data represented in other graphs, including but not limited to line plots (dot plots), circle graphs, and s...
- 6.PS.1.d
Organize and represent data using circle graphs, with and without the use of technology tools. The number of data values should be limited to allow for comparis...
- 6.PS.1.e
Analyze data represented in a circle graph by making observations and drawing conclusions.
- 8.PS.2.i
Given a contextual situation, justify which graphical representation (e.g., pictographs, bar graphs, line graphs, line plots/dot plots, stem-and-leaf plots, cir...
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