Grade 5 Math: Graphing with Tables
Convert a data table to a bar graph with a suitable scale. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Use This WorksheetIncludes
Topics
Making a graph from a table
Name: Date:
Convert a data table to a bar graph with a suitable scale.
Grade 5 review and application of earlier data skills. Use the stated units and scales. These activities do not claim to cover an entire Grade 5 standard.
Supported practice
Example: With a scale of 2 supplies per interval, a bar for 8 erasers reaches the fourth interval above zero. Draw your graph on separate grid paper.
1. Write a useful title for this graph.
2. Name the four categories to put on the horizontal axis.
3. What quantity belongs on the vertical axis?
4. Using intervals of 2, how many intervals tall is the pencil bar?
Supported answers
1. For example: Classroom Supplies by Type.
2. Pencils, Erasers, Rulers and Markers.
3. Number of supplies, starting at zero.
4. 6 intervals: 12 ÷ 2 = 6.
Standard practice
Example: A useful vertical scale includes the largest value and has equal intervals. Here 0, 2, 4, 6, 8, 10, 12 works.
1. Draw and label a bar graph for the table on grid paper.
2. Use your graph to find how many more pencils than rulers there are.
3. How many supplies are there altogether?
4. Explain why a vertical scale ending at 10 is insufficient.
Standard answers
1. Four separated bars: Pencils 12, Erasers 8, Rulers 6, Markers 10. Use equal scale intervals, labeled axes and a title.
2. 6 more: 12 − 6.
3. 36: 12 + 8 + 6 + 10.
4. The pencil count is 12, so the graph must extend to at least 12.
Challenge practice
Example: Reordering category labels is allowed only if each bar moves with its correct label.
1. Can the categories be arranged from greatest to least? Give the order and values.
2. Is a scale marked 0, 2, 4, 8, 10 at equally spaced ticks valid? Explain.
3. A student joins the tops of the bars with a line. Why is that unnecessary here?
4. If rulers increase to 14, explain two changes your original graph needs.
Challenge answers
1. Yes: Pencils 12, Markers 10, Erasers 8, Rulers 6.
2. No. The jump from 4 to 8 is 4 while other jumps are 2. Equal spacing should represent equal intervals.
3. These are separate supply categories, not a continuous or time sequence. Separate bars are clearer.
4. Raise the ruler bar to 14 and extend a scale that stopped at 12 to at least 14, keeping equal intervals.
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