Virginia SOL 5.PS.1.d

Math5th GradeProbability and Statistics

The Standard

Organize and represent numerical data using a stem-and-leaf plot with a title and key, where the stems are listed in ascending order and the leaves are in ascending order, with or without commas between the leaves.

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 line plots (dot plots) and stem-and-leaf plots.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students sort a set of numerical data and split each number by place value into a stem and a leaf. They arrange the entries from least to greatest and include a title and key.

What Mastery Looks Like

A student can turn an unsorted data set into an accurate plot with every value included, including repeats. The student orders all entries correctly and adds a clear title and matching key.

Common Misconceptions

Students may reverse the stem and leaf or split numbers at the wrong place value. They may omit repeated values, leave entries unsorted, or write a key that does not match the data.

How to Assess It

Give students the data set 24, 31, 27, 22, 31, 35, 29, 24. Ask them to create a complete stem-and-leaf plot and explain what 2 | 7 represents.

Lesson moves

Ways to Teach It

  1. Give pairs 20 number cards to sort and arrange into a stem-and-leaf plot on chart paper with a title and key.

  2. Have students respond to the prompt, “Explain what 4 | 7 means and why the key matters,” then compare answers with a partner.

  3. Play Plot Repair, where teams find and fix scrambled stems, missing repeats, incorrect keys, and unordered leaves in five sample plots.

  4. Use one month of daily high temperatures and have students create a plot showing the distribution of temperatures.

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