Skills and concepts we want children to learn

What do the NCTM Standards say?

Basic probability concepts:

• Systematic counting
• Randomness
• Fairness of the tool and the rule
• Degree of certainty (impossible, unlikely, equally likely to occur, likely, certain) becomes more quantifiable
• Theoretical vs experimental chance

Related math skills:

• Fractions
• Decimals
• Percents
• Ratios
• Measurement

Data analysis:

• Formulate meaningful questions
• Collect, organize, analyze, and represent data
  • Select appropriate forms of representation – continuous vs discrete
  • Purpose of graphing
• Develop conjectures, draw conclusions, make predictions based on
  • the shape of the data (range, clusters, gaps, outliers)
  • measures of central tendency (mean, median, mode)
  • Relationship does not imply causality