Creating and Interpreting Histograms - Age Distribution of Householders in the United States (Teacher Version)

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

6

Overview

This resource includes real-world numerical data where students will create, compare, and discuss factors that might explain the shapes of the histograms. The Alabama Course of Study indicates that students should be able to represent numerical data graphically using histograms. The resource demonstrates an innovative and creative teaching method where students model with mathematics using an inquiry approach to learning. This resource could be used for instructional purposes in the classroom to motivate and engage students in the lesson because working with authentic data will likely be engaging to students.

Mathematics (2019) Grade(s): 6

MA19.6.24

Represent numerical data graphically, using dot plots, line plots, histograms, stem and leaf plots, and box plots.

UP:MA19.6.24

Vocabulary

  • Dot plots
  • Histograms
  • Box plots
  • Stem and leaf plots
  • Line plots
  • Extreme values
  • Outliers
  • Gaps
  • Clusters
  • Symmetric
  • Skewed
  • Center
  • Spread
  • peaks
  • 5 number summary
  • Minimum
  • Maximum
  • Median
  • lower quartile
  • Upper quartile

Knowledge

Students know:
  • How to use graphical representations of real-world data to describe context, center, spread and shape from which they were collected.
  • Techniques for constructing line plots, stem and leaf plots, dot plots, histograms, and box plots.

Skills

Students are able to:
  • Organize and display data using dot plots, line plots, stem and leaf plots, histograms, and box plots.
  • Describe the nature of the attribute under investigation including how it was measured and its unit of measure using the context in which the data were collected.
  • Describe the shape of numerical data distribution including patterns and extreme values.
  • Use graphical representations of real-world data to describe and summarize the context from which they were collected.

Understanding

Students understand that:
  • Sets of data can be organized and displayed in a variety of ways, each of which provides unique perspectives of the data set.
  • Data displays help in conceptualizing ideas and in solving problems.
  • The overall shape and other significant features of a set of data, (e.g., gaps, peaks, clusters and extreme values) are important in summarizing numerical data sets.

CR Resource Type

Lesson/Unit Plan

Resource Provider

United States Census Bureau

License Type

Public Domain

Accessibility

Text Resources: Content is organized under headings and subheadings
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