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Common Core Math

High School Statistics & Probability Teaching and Learning Resources

Domain: IC: Making Inferences and Justifying Conclusions

Common Core Math

Select the cluster for resources on this page:

  • IC-A: Understand and evaluate random processes underlying statistical experiments

  • IC-B: Make inferences and justify conclusions from sample surveys, experiments, and observational studies

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IC-A: Understand and evaluate random processes underlying statistical experiments

Standards:

 

Technology-enhanced investigations:

Stattrek.com Statistics Dictionary contains the following key vocabulary for this domain.  Select the term from the Stattrek pull-down menu.  Use with IC-A, IC-B:

experiment observational study randomization significance level
margin of error parameter random sample statistics
mean population sample survey treatment

 

McDougal Littell ClassZone, Algebra 2, 2011: Select resources in Ch. 11 Data Analysis and Statistics for interactive practice: Animations (Virtual manipulatives), Games/Vocabulary Flashcards, and PowerPoint lesson examples, and interactive problems within the eWorkbook. See multiple choice below for related sections to use within the eWorkbook.  Use with IC-A.

LearnZillion:

MIT BLOSSOMS: Video lessons with additional teacher and learner resources.  Descriptions are from the video summaries.

  • Flu Math Games: "This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled."  Additional simulations are included.  Aligns with Algebra standards SSE-B.3.c and REI-A.1; Function standards IF-C.8.b, BF-B.4.a, and LE-A-1.(a, c); and Statistics and Probability standards ID-B.6.a, IC-A.1, IC-B.4, CP-A.2, and MD-A.1.
  • Averages: Still Flawed: "This learning video continues the theme of an early BLOSSOMS lesson, Flaws of Averages, using new examples—including how all the children from Lake Wobegon can be above average, as well as the Friendship Paradox. As mentioned in the original module, averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, once again, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages."  Aligns with IC-A.2.

Stat Trek: Tutorial: Simulation of Random Events

Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulatives.  Note: Within the Wolfram Demonstration Project are 7 manipulatives addressing IC-A.1 and 2 manipulatives addressing IC-A.2:  Among those are:

Multiple Choice:

Glencoe Online Learning Center, Geometry (2010) self-check quizzes: Ch. 13, Lesson 4: Simulations Aligns with IC-A.2.

Khan Academy: Practice questions with videos.

McDougal Littell ClassZone, Algebra 2, 2011: Ch. 11.5 Quiz: Choose the Best Model for Two-Variable Data

OpenEd:

Constructed-response:

 

Performance tasks:

Illustrative Mathematics:

Mathematics Vision Project, Secondary 3 Student Edition:

  • Module 8: Statistics: This module contains 8 classroom tasks.  Task 5 and task 7 align with standard IC-A.1.  Tasks 6-8 address IC-A.2.  Additionally task 8 also addresses IC-B.3.

 

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IC-B: Make inferences and justify conclusions from sample surveys, experiments, and observational studies

Standards:

Technology-enhanced investigations:

Khan Academy: Videos: Bernoulli distributions and margins of error.  Use with IC-B.4.

LearnZillion:

McDougal Littell ClassZone, Algebra 2, 2011: Select resources in Ch. 11 Data Analysis and Statistics for interactive practice: Animations (Virtual manipulatives), Games/Vocabulary Flashcards, and PowerPoint lesson examples, and interactive problems within the eWorkbook. See multiple choice below for related sections to use within the eWorkbook.  Use with IC-B.

MIT BLOSSOMS: Video lesson with additional teacher and learner resources.  Description is from the video summary.  Flu Math Games: "This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled."  Additional simulations are included.  Aligns with Algebra standards SSE-B.3.c and REI-A.1; Function standards IF-C.8.b, BF-B.4.a, and LE-A-1.(a, c); and Statistics nd Probability standards ID-B.6.a, IC-A.1, IC-B.4, CP-A.2, and MD-A.1.

Shodor Interactivate: Statistics and Probability Making Inferences and Justifying Conclusions: Understand and evaluate random processes underlying statistical experiments.  This includes 10 lessons and 22 activities with virtual manipulatives involving simulations and experiments.

Stat Trek: Tutorials on Surveys and Experiments: Surveys: Data Collection Methods: This tutorial presents four main methods of data collection: census, sample surveys, experiments, and observational studies; What is an experiment?; and Experimental Design in Statistics

Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulatives.  Note: Within the Wolfram Demonstration Project are 1 manipulative addressing IC-B.3, 3 manipulatives addressing IC-B.4, and 2 manipulatives addressing IC-B.5. Among those are:

Multiple Choice:

Glencoe Online Learning Center, Algebra 2 (2010) self-check quiz: Ch. 12, Lesson 1: Experiments, Surveys, and Observational Studies

Khan Academy: Practice questions with videos.

McDougal Littell ClassZone, Algebra 2, 2011: Ch. 11.4 Quiz: Select and Draw Conclusions from Samples

OpenEd:

Constructed-response:

OpenEd: Using data from randomized experiments: 2 free response questions and 1 true-false.  Includes related review resources.  Aligns with IC-B.5.

Performance tasks:

Illustrative Mathematics:

Mathematics Assessment Project: Standards: High School: Statistics & Probability: http://map.mathshell.org/stds.php?standardid=1233 Task 217: Interpreting Statistics: A Case of Muddying the Waters

Mathematics Vision Project, Secondary 3 Student Edition:

  • Module 8: Statistics: This module contains 8 classroom tasks.  Task 5 and task 7 align with standard IC-A.1.  Tasks 6-8 address IC-A.2.  Additionally task 8 also addresses IC-B.3.

 

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