BPS District Mathematics Standards Book
Math Learning Progressions
[S] Statistics and Probability
Math Learning Progressions HS Math Concepts
[S] Statistics and Probability
Studentsâ€™ prior knowledge includes:
 Students investigate patterns of association in bivariate data (grade 8)
 Students use random sampling to draw inferences about a population (grade 7)
 Students draw informal comparative inferences about two populations (grade 7)
 Students investigate chance processes and develop, use, and evaluate probability models (grade 7)
 Students develop an understanding of statistical variability (grade 6)
 Students summarize and describe distributions (grade 6)
Interpreting Categorical and Quantitative Data
 Summarize, represent, and interpret data on a single count or measurement variable.
 Summarize, represent, and interpret data on two categorical and quantitative variables.
 Interpret linear models.
Making Inferences and Justifying Conclusions
 Understand and evaluate random processes underlying statistical experiments.
 Make inferences and justify conclusions from sample surveys, experiments and observational studies.
Conditional Probability and the Rules of Probability
 Understand independence and conditional probability and use them to interpret data.
 Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Using Probability to Make Decisions
 Calculate expected values and use them to solve problems.
 Use probability to evaluate outcomes of decisions.
MATHS.S [S] Overview: Statistics and Probability
MATHS.SID Domain: [SID] Interpreting Categorical and Quantitative Data

 MATHS.SID.01 Represent data with plots on the real number line
 MATHS.SID.02 Use statistics to compare center and spread of two or more data sets
 MATHS.SID.03 Interpret differences in shape/center/spread of data, accounting for outliers
 MATHS.SID.04 Use the mean and standard deviation of a data set for normal distribution
 MATHS.SID.05 Summarize categorical data for two categories in twoway frequency tables
 MATHS.SID.06 Represent data on two quantitative variables on a scatter plot
 SID.06.a Fit a function to the data to solve problems
 SID.06.b Informally assess the fit of a function by plotting and analyzing residuals
 SID.06.c Fit a linear function for a scatter plot that suggests a linear association
 MATHS.SID.07 interpret the Slope and the Intercept of a linear model in context of data
 MATHS.SID.08 Compute and interpret the correlation coefficient of a linear fit
 MATHS.SID.09 Distinguish between correlation and causation
MATHS.SIC Domain: [SIC] Making Inferences and Justifying Conclusions

 MATHS.SIC.01 Understand statistics as a process for making inferences based on random sample
 MATHS.SIC.02 Decide if a model is consistent with results from a datagenerating process
 MATHS.SIC.03 Compare the purposes of surveys/experiments/observational studies
 MATHS.SIC.04 Use data from a sample survey to estimate a population mean or proportion
 MATHS.SIC.05 Use data from a randomized experiment to compare two treatments
 MATHS.SIC.06 Evaluate reports based on data
MATHS.SCP Domain: [SCP] Conditional Probability and the Rules of Probability

 MATHS.SCP.01 Describe events as subsets of a sample space using characteristics
 MATHS.SCP.02 Using probabilities, understand and show that two events are independent
 MATHS.SCP.03 Understand the conditional probability of A given B as P(A and B)/P(B
 MATHS.SCP.04 Construct and interpret twoway frequency tables of data
 MATHS.SCP.05 Recognize and explain the concepts of conditional probability and independence
 MATHS.SCP.06 Find the probability of A given B as the fraction of B??s outcomes belong to A
 MATHS.SCP.07 Apply and interpret the Addition Rule of probability
 MATHS.SCP.08 Apply the general Multiplication Rule in a uniform probability model
 MATHS.SCP.09 Use permutations and combinations to compute probabilities
MATHS.SMD Domain: [SMD] Using Probability to Make Decisions

 MATHS.SMD.01 Define a random variable for a quantity of interest by assigning a numerica
 MATHS.SMD.02 Calculate the expected value of a random variable; interpret it as the mean
 MATHS.SMD.03 Develop a probability distribution for a random variable defined for a samp
 MATHS.SMD.04 Develop a probability distribution for a random variable defined for a samp
 MATHS.SMD.05 Weigh outcomes of a decision by assigning probabilities to payoff values
 SMD.05.a Find the expected payoff for a game of chance
 SMD.05.b Evaluate and compare strategies on the basis of expected values
 MATHS.SMD.06 Use probabilities to make fair decisions
 MATHS.SMD.07 Analyze decisions and strategies using probability concepts
A Sample of HS Math Concept Statistics and Probability your child will be learning
Interpreting Categorical and Quantitative Data
 Summarize, represent, and interpret data on a single count or measurement variable.
 Summarize, represent, and interpret data on two categorical and quantitative variables.
 Interpret linear models.
Making Inferences and Justifying Conclusions
 Understand and evaluate random processes underlying statistical experiments.
 Make inferences and justify conclusions from sample surveys, experiments and observational studies.
Conditional Probability and the Rules of Probability
 Understand independence and conditional probability and use them to interpret data.
 Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Using Probability to Make Decisions
 Calculate expected values and use them to solve problems.
 Use probability to evaluate outcomes of decisions.