Public Key Cryptography and RSA
Students understand the mathematics behind RSA and explore how asymmetric encryption allows for secure communication.
Key Questions
- How can two parties share a secret without ever meeting in person using public key cryptography?
- What would happen to global commerce if current encryption standards were cracked?
- Explain the mathematical principles underlying the RSA algorithm.
Common Core State Standards
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
Simulation Game: The Polling Lab
Students conduct a poll of their classmates on a school issue. One group must use 'Neutral Wording,' while another uses 'Leading Wording' (e.g., 'Do you support...' vs. 'Don't you agree that...'). They compare how the wording changed the results.
Inquiry Circle: Poll Tracker
Students use a site like FiveThirtyEight to track a current election or issue. They must explain the 'Margin of Error' and why a candidate with a 2-point lead in a poll with a 4-point margin of error is actually in a 'statistical tie.'
Think-Pair-Share: The 'Shy Voter' Effect
Students discuss why polls sometimes get it wrong (like in 2016 or 2020). They explore concepts like 'social desirability bias', where people lie to pollsters to avoid looking bad, and how this skews data.
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.
Suggested Methodologies
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Frequently Asked Questions
What is a 'Margin of Error'?
What is a 'Push Poll'?
How can active learning help students understand public opinion?
Why is 'Random Sampling' so important?
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