Virginia SOL 3.PS.1.e.v
The Standard
solve one- and two-step addition and subtraction problems using data from 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 read values from pictographs and bar graphs, paying attention to keys and scales. They use those values to solve one-step and two-step addition or subtraction problems and explain their results.
What Mastery Looks Like
- Students read the graph scale or pictograph key correctly. They choose addition and subtraction to solve one-step and two-step questions, then explain their answer with numbers from the graph.
Common Misconceptions
- Students may count picture symbols instead of using the pictograph key. They may also subtract when a question asks for a total, or stop after one operation in a two-step problem.
How to Assess It
- Give students a small bar graph and ask, “How many more votes did apples and bananas receive together than oranges?” Require an equation and a written answer.
Lesson moves
Ways to Teach It
Give pairs counters and a pictograph key, then have them build data displays and solve two-step questions about each other’s displays.
Show a bar graph and ask, “What two-step question could you answer using these data?” Students write and trade questions.
Play Graph Question Match by pairing equation cards, such as 12 + 8 − 7, with matching graph question cards.
Graph class lunch choices, then calculate how many more students chose two popular options together than the least popular option.
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Printable 3.PS.1.e.v Worksheet

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Related Standards
- 3.PS.1.e.iii
make inferences about data represented in pictographs and bar graphs;
- 4.PS.1.d.v
solve single-step and multistep addition and subtraction problems using data from line graphs.
- 2.PS.1.e.i
ask and answer questions about the data represented in pictographs and bar graphs (e.g., total number of data points represented, how many in each category, how...
- 5.PS.1.e.v
solve single-step and multistep addition and subtraction problems using data from line plots (dot plots) and stem-and-leaf plots.
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