Wachusett Regional School District
Wachusett Mountain

District Frameworks - Mathematics

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Standard 9

Statistics & Probability Standards

Grades K-4

Statistics and Probability (NCTM Standard 11) - shall include experiences with data analysis and probability so that students will:

  • Collect, organize, and describe data; 
  • Construct, read, and interpret displays of data; 
  • Formulate and solve problems that involve collecting and analyzing data; 
  • Explore concepts of chance.

Grades 5-8

Statistics (NCTM Standard 10) - shall include exploration of statistics in real-world situation so that students will:

  • Systematically collect, organize, and describe data; 
  • Construct, read, and interpret tables, charts, and graphs; 
  • Make inferences and convincing arguments that are based on data analysis; 
  • Evaluate arguments that are based on data analysis; 
  • Develop an appreciation for statistical methods as powerful means for decision making.

Probability (NCTM Standard 11) - shall include explorations of probability in real-world situations so that students will:

  • Model situations by devising and carrying out experiments or simulations to determine probabilities; 
  • Model situations by constructing a sample space to determine probabilities; 
  • Appreciate the power of using a probability model by comparing experimental results with mathematical expectations; 
  • Make predictions that are based on experimental or theoretical probabilities; 
  • Develop an appreciation for the pervasive use of probability in the real world.

Grades 9-12

Statistics (NCTM Standard 10) - shall include the continued study of data analysis and statistics so that all students will:

  • Construct and draw inferences from charts, tables, and graphs that summarize data from real-world situations; 
  • Use curve fitting to predict from data; 
  • Understand and apply measures of central tendency, variability, and correlation; 
  • Understand sampling and recognize its role in statistical claims; 
  • Design a statistical experiment to study a problem, conduct the experiment, and interpret and communicate the outcomes; 
  • Analyze the effects of data transformations on measures of central tendency and variability;

and, in addition, college-intending students will:

  • Transform data to aid in data interpretation and prediction; 
  • Test hypotheses using appropriate statistics. 

Probability (NCTM Standard 11) - shall include the continued study of probability so that all students will:

  • Use experimental or theoretical probability, as appropriate, to represent and solve problems involving uncertainty; 
  • Use simulations to estimate probabilities; 
  • Understand the concept of a random variable; 
  • Create and interpret discrete probability distributions; 
  • Describe, in general terms, the normal curve and use its properties to answer questions about sets of data that are assumed to be normally distributed;

and, in addition, college-intending students will:

  • Apply the concept of a random variable to generate and interpret probability distributions including binomial, uniform, normal, and chi square.

ADULT BASIC EDUCATION

Statistics and Probability (ABE Standard 9) - shall include approaches to teaching statistics and probability which allow the learner to:

  • Systematically collect, organize and describe data; 
  • Construct, read and interpret tables, charts and graphs; 
  • Make inferences and convincing arguments that are based on data analysis; 
  • Evaluate arguments that are based on data analysis; 
  • Develop an appreciation for statistical methods as a powerful means for decision making.