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Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Data Analysis, Statistics, and Probabilityfor Grades 5-6

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
Select and use appropriate statistical methods to analyze data
Develop and evaluate inferences and predictions that are based on data
Understand and apply basic concepts of probability

Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

6.D.1
Describe and compare data sets using the concepts of median, mean, mode, maximum and minimum, and range.
6.D.2
Construct and interpret stem-and-leaf plots, line plots, and circle graphs.
6.D.3
Use tree diagrams and other models (e.g., lists and tables) to represent possible or actual outcomes of trials. Analyze the outcomes.
6.D.4
Predict the probability of outcomes of simple experiments (e.g., tossing a coin, rolling a die) and test the predictions. Use appropriate ratios between 0 and 1 to represent the probability of the outcome and associate the probability with the likelihood of the event.

Exploratory Concepts and Skills

• Set up and analyze capture-recapture experiments.
• Generate and group data, record the data using frequency tables and interpret the tables.
• Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatter plots.
• Compare different representations of the same data and evaluate how well each representation shows important aspects of the data.

Data Analysis, Statistics, and Probability