Statistics & Probability Progression Map

Common Core MathGrades 6 to 817 core standards · 35 related · 84 connections

Statistical variability, distributions, sampling, and probability models across middle school.

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Core learning progression

Select a standard to see its exact path and cross-topic foundations.

Grade 6

5 standards

Grade 7

8 standards

Grade 8

4 standards

How to Read This Map

Start in the focused explorer, where standards are grouped into human-readable skill threads and placed in grade order. Select a standard to see what it builds on and what it unlocks. The full network preserves every verified connection: solid lines are essential prerequisites and dashed lines are supporting connections. Cross-topic foundations appear in a selected standard's details. Every standard links to a full breakdown with teaching ideas. How these connections are verified.

All standards on this map, as a list

Statistics & Probability

  • 6.SP.A.3Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
  • 6.SP.A.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
  • 6.SP.A.2Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
  • 6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
  • 6.SP.B.5Summarize numerical data sets in relation to their context, such as by:
  • 7.SP.A.2Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the...
  • 7.SP.A.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is...
  • 7.SP.B.3Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure...
  • 7.SP.B.4Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
  • 7.SP.C.5Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0...
  • 7.SP.C.6Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency...
  • 7.SP.C.7Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the...
  • 7.SP.C.8Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
  • 8.SP.A.1Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or...
  • 8.SP.A.2Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally...
  • 8.SP.A.3Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
  • 8.SP.A.4Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table...

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