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Network Architecture and Cryptography · Weeks 28-36

Public Key Cryptography and RSA

Students understand the mathematics behind RSA and explore how asymmetric encryption allows for secure communication.

Key Questions

  1. How can two parties share a secret without ever meeting in person using public key cryptography?
  2. What would happen to global commerce if current encryption standards were cracked?
  3. Explain the mathematical principles underlying the RSA algorithm.

Common Core State Standards

CSTA: 3B-NI-04CCSS.ELA-LITERACY.RST.11-12.7
Grade: 12th Grade
Subject: Computer Science
Unit: Network Architecture and Cryptography
Period: Weeks 28-36

About This Topic

This topic explores the science and politics of public opinion polling. Students learn about the technical requirements for a 'scientific' poll, including random sampling, low margin of error, and neutral question wording. They also examine how polls are used by politicians to craft messages and by the media to predict election outcomes, as well as the growing challenges of polling in a digital age.

For seniors, this is a lesson in data literacy. It helps them understand when to trust a poll and when to be skeptical of 'push polls' or 'straw polls.' This topic comes alive when students can physically model the patterns of sampling and bias by conducting their own 'mini-polls' and analyzing the results.

Active Learning Ideas

Watch Out for These Misconceptions

Common MisconceptionA poll of 1,000 people can't represent 330 million Americans.

What to Teach Instead

Through the math of 'Random Sampling,' a small group can accurately reflect a large population within a known margin of error. A 'Soup Tasting' analogy (you only need one spoonful to know if the whole pot is salty) helps students grasp this concept.

Common MisconceptionOnline 'Twitter polls' are just as good as professional polls.

What to Teach Instead

Online polls are 'self-selected' and not random, meaning they only represent the people who chose to participate. Peer-led 'Sampling Audits' help students see why professional polls spend so much money to find a truly random group.

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Frequently Asked Questions

What is a 'Margin of Error'?
It is a statistic expressing the amount of random sampling error in a poll's results. For example, if a poll says 50% support a law with a +/- 3% margin, the true support is likely between 47% and 53%.
What is a 'Push Poll'?
It is not actually a poll, but a telemarketing technique used to influence voters under the guise of taking a poll. It uses loaded questions to 'push' voters away from a candidate (e.g., 'Would you still vote for Candidate X if you knew they kicked puppies?').
How can active learning help students understand public opinion?
Data can feel abstract and 'true' just because it's a number. Active learning, like the 'Leading Question' simulation, shows students how easily data can be 'manufactured.' By creating their own biased polls, they become much more critical consumers of the polls they see on the news.
Why is 'Random Sampling' so important?
It ensures that every member of the population has an equal chance of being selected. Without it, the poll will be biased toward whoever is easiest to reach (like people who still have landline phones).

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