ALEX Classroom Resource

Students

Organize data and draw a scaled picture graph (with scales other than 1) to represent a data set with several categories.

Organize data and draw a scaled bar graph (with scales other than 1) to represent a data set with several categories.

Given a scaled picture graph or bar graph, solve one-And two-step problems using information presented in the graphs.

Determine simple probability from a context that includes a picture or information displayed in a graph.

Example: A picture graph displays data to represent the type of transportation for students traveling to school as 10 students walk, 8 students ride bikes, 38 ride the bus, and 12 ride in cars. Another student enrolls in school. What is the least likely way they will travel to school? Why?
Note: Students are expected to reason about probability, not calculate a probability.

Students know:

• Strategies for collecting, organizing, and recording data in picture graphs and bar graphs.
• Describe and interpret data on picture and bar graphs.
• Strategies for solving addition and subtraction one-And two-step problems.

Students are able to:

• Collect and categorize data to display graphically.
• Draw a scaled picture graph (with scales other than 1) to represent a data set with several categories.
• Draw a scaled bar graph (with scales other than 1) to represent a data set with several categories.
• Determine simple probability from a context that includes a picture.
  Example: A bar graph displays data to represent students' favorite colors with data showing 4 students choose red, 11 students choose blue, 2 students choose green, and 4 students choose purple. If Jamal is a student in the class, what do you think his favorite color might be? Why?
• Solve one-And two-step "how many more" and "how many less" problems using information presented in scaled graphs.

Students understand that:

• Questions concerning mathematical contexts can be answered by collecting and organizing data scaled pictographs and bar graphs.
• Understand that logical reasoning and connections between representations provide justifications for solutions.

Learning Objectives:
M.3.16.1: Define picture graph, bar graph, and data.
M.3.16.2: Interpret the data to solve problems.
M.3.16.3: Identify the parts of a graph (x-axis, y-axis, title, key, equal intervals, labels).
M.3.16.4: Locate the data on a picture graph and a bar graph.
M.3.16.5: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
M.3.16.6: Directly compare two objects, with a measurable attribute in common, to see which object has "more of" or "less of" the attribute, and describe the difference.