Objectives:
Students will be able to:
- Understand the difference between a permutation and a combination
- Calculate permutations and combinations
- Be able to apply these to situations in the real world
Standards:
New York State Learning Standards for Math, Science and Technology, Commencement level:
http://accelerateu.org/standards/index.cfm?&page=Explore
MST Standard 3:
Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry..Students use patterns and functions to develop mathematical power, appreciate the true beauty of mathematics, and construct generalizations that describe patterns simply and efficiently.
Materials required:
Computer with internet access.
Web sites:
Permutation, Combination – Calculator
http://easycalculation.com/statistics/permutation-combination.php
This is a simple site that allows students to calculate permutations and combinations.
Mooble game
http://www.gamesgames.com/game/Mooble.html
This is a game, like mastermind where the student needs to break a code of four colored balls, from a choice of six colored balls.
Khan Academy Permutations and Combinations 1
http://www.khanacademy.org/math/probability/v/permutations-and-combinations-1
This is a four minute introductory lesson in Khan Academy about permutations and combinations
Khan Academy Permutations and Combinations 2
This is a four minute lesson in Khan Academy about permutations and combinations related to breaking a four colour code
Khan Academy video Permutations and Combinations
Math is Fun: Combinations and Permutations
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
This is an explanation of the difference between permutations with or without repetition and combinations with or without repetition.
Mathopolis
http://www.mathopolis.com/questions/q.php?id=708
These are exercises that will test the comprehension of combinations and permutations