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Algebra 2 Honors Lesson

Sample Spaces, Events, and Set Operations: Unions, Intersections, and Complements

Shared by A STEM Educator★ Featured Teacher · rated 90+ in our quality review

10-11BTC Style / Thinking Classrooms12-190 min
Learning Objective

Students will be able to define sample spaces and events, represent them using set notation, and apply union, intersection, and complement operations to find probabilities of compound events.

Lesson Overview

Students progress from listing sample spaces to applying union, intersection, and complement operations on events, building toward multi-event probability calculations using set notation.

Materials

  • Vertical whiteboards or large chart paper
  • Dry-erase markers (multiple colors)
  • Printed card sets (one set per group)
  • Standard six-sided dice (2 per group)
  • Coin (1 per group)
  • Colored markers or highlighters

Scaffolded Task Progression

1Task 1
A standard six-sided die is rolled once.

1. List the sample space .
2. Let event = 'rolling a number greater than 4.' List the outcomes in .
3. How many outcomes are in ? How many are in ?
4. What is ?
2Task 2
A standard six-sided die is rolled once. The sample space is .

Let event = 'rolling an even number.'

1. List the outcomes in .
2. What is ?
3. Is rolling a 3 part of event ? Explain.
3Task 3
A coin is flipped and a six-sided die is rolled at the same time.

1. List the complete sample space using ordered pairs (Coin, Die).
2. How many outcomes are in ?
3. Let event = 'getting Heads.' List all outcomes in .

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