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http://illuminations.nctm.org/LessonDetail.aspx?ID=L355

A lesson plan for grades 3–5 Mathematics

Provider: National Council of Teachers of Mathematics


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Students collect numerical data, generate graphs, and compare two data sets and find the mean, mode, median, and range of the data sets. Students communicate with each other and the teacher and practice their problem-solving skills. With the help of another teacher’s class list, students create line plots and then calculate the range, mean, and mode of their data. Finally, students reflect on the lesson in their math journals. Illuminations provides handouts, detailed instructions and links to helpful web resources.

Students will:

  • Collect data and display it in line plot and circle graph (pie chart) form.
  • Compare two sets of data.
  • Find the mean, mode, median, and range of the data sets.

NCTM Standards and Expectations:

  • Collect data using observations, surveys, and experiments.
  • Represent data using tables and graphs such as line plots, bar graphs, and line graphs.
  • Describe the shape and important features of a set of data and compare related data sets, with an emphasis on how the data are distributed.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 3

  • Goal 4: Data Analysis and Probability - The learner will understand and use data and simple probability concepts.
    • Objective 4.01: Collect, organize, analyze, and display data (including circle graphs and tables) to solve problems.
    • Objective 4.02: Determine the number of permutations and combinations of up to three items.
    • Objective 4.03: Solve probability problems using permutations and combinations.

Grade 4

  • Goal 4: Data Analysis and Probability - The learner will understand and use graphs, probability, and data analysis.
    • Objective 4.01: Collect, organize, analyze, and display data (including line graphs and bar graphs) to solve problems.
    • Objective 4.02: Describe the distribution of data using median, range and mode.
    • Objective 4.03: Solve problems by comparing two sets of related data.
    • Objective 4.04: Design experiments and list all possible outcomes and probabilities for an event.

Grade 5

  • Goal 4: Data Analysis and Probability - The learner will understand and use graphs and data analysis.
    • Objective 4.01: Collect, organize, analyze, and display data (including stem-and-leaf plots) to solve problems.
    • Objective 4.02: Compare and contrast different representations of the same data; discuss the effectiveness of each representation.
    • Objective 4.03: Solve problems with data from a single set or multiple sets of data using median, range, and mode.