3.8.A
The Standard
summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students organize category data by counting how often each category appears. They show those counts in a frequency table, dot plot, pictograph, or scaled bar graph.
What Mastery Looks Like
- Students record correct totals for every category and include clear labels. They use the pictograph key or graph scale correctly and can identify the most, least, and total responses.
Common Misconceptions
- Students may miscount repeated items or leave out a category. They may ignore a pictograph key or treat every bar graph interval as one. They may place dots between labels instead of directly above a category.
How to Assess It
- Exit ticket: Use the data apples 6, bananas 4, oranges 2, grapes 8. Make a frequency table and a bar graph with intervals of 2.
Lesson moves
Ways to Teach It
Have students sort colored tiles, count each color, and build a dot plot with one dot for each tile.
Show a pictograph and bar graph of the same data, then ask students to explain how both show each category total.
Give pairs of students data cards and graph cards, then have them match each data set to its correct representation.
Survey the class about recess choices, make a frequency table, and create a bar graph using intervals of 2.
Keep exploring
Related Standards
- 3.8.B
solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals
- 6.12.D
summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and th...
- 5.9.A
represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots ...
- 2.10.B
organize a collection of data with up to four categories using pictographs and bar graphs with intervals of one or more
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