5.9.C
The Standard
solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students locate and combine values shown in tables, plots, and graphs. They decide whether to add, subtract, compare, or use two operations to answer a question.
What Mastery Looks Like
- A student reads labels, scales, keys, leaves, and plotted points accurately. The student shows the needed operations, gives a correct answer, and explains which data values were used.
Common Misconceptions
- Students may count categories instead of frequencies or count dots without using their values. They may ignore a bar graph's scale, split stem-and-leaf numbers incorrectly, or swap x- and y-values on scatterplots. In two-step problems, they often stop after finding a subtotal.
How to Assess It
- Give this exit ticket: A frequency table shows 0 books, 2 students; 1 book, 5; 2 books, 4; 3 books, 1. How many more students read fewer than 2 books than read at least 2 books? Show both steps.
Lesson moves
Ways to Teach It
Give pairs linking cubes and a frequency table of pet choices; have them build a bar graph and answer two comparison questions.
Display a stem-and-leaf plot and ask, “Which two values did you use, and why?” after students solve a two-step question.
Run a four-corner game where students move to the operation, add, subtract, multiply, or divide, needed for each graph question.
Use a scatterplot of temperature and lemonade sales; ask students to compare two days and explain the sales pattern.
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Printable 5.9.C Worksheet

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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
- 4.9.B
solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot
- 4.9.A
represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions
- 7.6.G
solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;
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