Picture and Bar Graphs

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

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Standard: 2.MD.D10 – Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

Grade level: Grade 2

Subject: Mathematics

Domain: Measurement & Data

Teacher Overview

This standard focuses on teaching students how to represent data visually using picture and bar graphs. It is important because it helps students understand how to organize and interpret data, a skill that is essential in many real-world contexts. Students should have a basic understanding of counting, categorizing items, and performing simple addition and subtraction.

After mastering this standard, students will be able to interpret more complex data sets and graphs, and understand scales beyond single units, preparing them for more advanced data analysis.

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Common Misconception 1

Some students may believe that the height of the bars in a bar graph is not important and that the categories are the only essential part. This is incorrect because the height of each bar represents the quantity of the category it corresponds to.

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Intervention 1

Provide students with various examples of bar graphs and ask them to interpret the data. Emphasize the importance of the height of the bars in representing the quantity.

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Common Misconception 2

Students might mix up the categories and quantities in a picture graph, thinking that the symbols are just decorations. This misconception can lead to incorrect data interpretation.

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Intervention 2

Create picture graphs together as a class, ensuring that each symbol is clearly labeled and consistently represents a specific quantity. Reinforce this through repeated practice.

Prerequisite Knowledge

Students should be familiar with basic counting, understanding categories, and simple addition and subtraction.

Subsequent Knowledge

Students will develop skills in interpreting more complex data sets and graphs, and understanding scales beyond single units.

Instructional Activities

  • Create a bar graph of students’ favorite colors.
  • Make a picture graph showing different types of transportation used by students to get to school.
  • Conduct a class survey on favorite ice cream flavors and represent the data using a bar graph.
  • Graph the number of different animals seen on a field trip.

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