Algebra 2 (& GT)
Unit 5: Inferences and Conclusions from Data
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What will my child learn?
Students will:
Summarize, represent, and interpret data on a single count or measurement variable.
S.ID.A.4
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
Understand and evaluate random processes underlying statistical experiments.
S.IC.A.1
Understand statistics as a process for making inferences about population parameters based on a random sample from that population (SAT® Content  PSDA.08).
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
S.IC.B.3
Recognize the purposes of and differences among sample surveys; explain how randomization relates to each (SAT® Content  PSDA.10).
Understand and evaluate random processes underlying statistical experiments.
S.IC.A.2
Decide if a specified model is consistent with results from a given datagenerating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
S.IC.B.4
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
S.IC.B.5
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
S.IC.B.6
Evaluate reports based on data (SAT® Content  PSDA.10).
Students will:
Summarize, represent, and interpret data on a single count or measurement variable.
S.ID.A.4
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
 Background Info.
 Check for Understanding: Empirical Rule  Sample and Population Standard Deviation
 Review/Rewind: Introduction to the Normal Distribution  Standard Deviation
 Enrichment Tasks: SAT Scores  Do You Fit in This Car?
Understand and evaluate random processes underlying statistical experiments.
S.IC.A.1
Understand statistics as a process for making inferences about population parameters based on a random sample from that population (SAT® Content  PSDA.08).
 Background Info.
 Check for Understanding: Valid Claims
 Review/Rewind: Inferring Population Mean from Sample Mean
 Enrichment Tasks: Strict Parents  Why Randomize?
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
S.IC.B.3
Recognize the purposes of and differences among sample surveys; explain how randomization relates to each (SAT® Content  PSDA.10).
 Background Info.
 Check for Understanding: Types of Statistical Studies
 Review/Rewind: Types of Statistics Studies Review
 Enrichment Tasks: Words and Music II  High Blood Pressure
Understand and evaluate random processes underlying statistical experiments.
S.IC.A.2
Decide if a specified model is consistent with results from a given datagenerating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?
 Background Info.
 Check for Understanding: Simple Hypothesis Testing
 Review/Rewind: Simple Hypothesis Testing Review
 Enrichment Tasks: Sarah the Chimpanzee  Block Scheduling
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
S.IC.B.4
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
 Background Info.
 Review/Rewind: Margin of Error
 Enrichment Tasks: The Marble Jar
S.IC.B.5
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
 Background Info.
 Check for Understanding: Hypothesis Testing in Experiments
 Review/Rewind: Simple Hypothesis Testing
S.IC.B.6
Evaluate reports based on data (SAT® Content  PSDA.10).
 Background Info.
 Check for Understanding: Types of Statistical Studies
 Review/Rewind: Appropriate Statistical Study Example
What are some signs of student mastery?

Tools & Technology
Desmos is a free online graphing calculator that works on any computer or tablet without requiring any downloads. A FREE Desmos iPad app is available too! StatKey is a free online tool for visualizing distributions and determining confidence intervals. 