ALEX Classroom Resource

  

Counting Principle

  Classroom Resource Information  

Title:

 Counting Principle

URL:

 https://aptv.pbslearningmedia.org/resource/rr10.math.number.cou.countprinc/counting-principle/

Content Source:

 PBS
Type: Audio/Video

Overview:

Using an everyday lunch menu, this video demonstrates how the counting principle is used to determine the number of possible lunch combinations on the menu. The counting principle is used to multiply the number of lunch items in each category to determine the number of possible combinations. Regents Review materials are designed to help high school students prepare for New York State's Regents exams.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Applications of Finite Math
7. Develop and use the Fundamental Counting Principle for counting independent and dependent events.

a. Use various counting models (including tree diagrams and lists) to identify the distinguishing factors of a context in which the Fundamental Counting Principle can be applied.

Example: Apply the Fundamental Counting Principle in a context that can be represented by a tree diagram in which there are the same number of branches from each node at each level of the tree.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Given a real-world context problem, determine if the the Fundamental Counting Principle can be applied, use various counting models to count using a variety of different context parameters.
Teacher Vocabulary:
  • Fundamental counting principle
  • Independent events
  • Dependent events
  • Tree diagram
  • Branches
  • Node
Knowledge:
Students know:
  • How to construct a tree diagram.
Skills:
Students are able to:
  • Count the number of events when given a variety of constraints/parameters when the Fundamental Counting Principle can be applied.
Understanding:
Students understand that:
  • The Fundamental Counting Principle can be applied in contexts where an ordered list of events occur and there are a ways for the first event to occur, b ways for the second event to occur so the number of ways of the ordered sequence of events occuring is axb.
Diverse Learning Needs:
Tags: combinations, counting principle
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Accessibility
Comments
  This resource provided by:  
Author: Kristy Lacks
This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Copyright © 2017, Alabama Learning Exchange
Alabama State Department of Education
Alabama State Department of Education