Virginia SOL 3.PS.1.e.iii

Math3rd GradeProbability and Statistics

The Standard

make inferences about data represented in pictographs and bar graphs

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 pictographs and bar graphs. 

Teacher's field guide

What This Standard Means

What Students Need to Do

Students study pictographs and bar graphs for patterns, differences, and likely conclusions. They state an inference and point to data from the graph that supports it.

What Mastery Looks Like

A student makes a reasonable claim based on patterns, differences, or totals in a graph. The student supports the claim with accurate graph evidence and explains it clearly in speech or writing.

Common Misconceptions

Students may treat an inference as a fact directly shown on the graph. They may ignore the pictograph key or misread the scale on a bar graph. Some invent causes, such as why one choice is popular, without evidence.

How to Assess It

Show a bar graph with 8 votes for dogs, 5 for cats, and 2 for fish. Ask students to write one reasonable inference and support it with graph evidence.

Lesson moves

Ways to Teach It

  1. Survey classmates about recess choices, build a sticky-note bar graph, then write one reasonable inference supported by two bar heights.

  2. Display a pictograph and ask, “What might be true, and which graph details support your thinking?”

  3. Play Evidence Match by pairing inference cards with graphs, rejecting any card that the data does not support.

  4. Graph cafeteria fruit choices from a class tally, then write a recommendation for which fruit the cafeteria should stock most.

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Printable 3.PS.1.e.iii Worksheet

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