MA19.FM.7
Develop and use the Fundamental Counting Principle for counting independent and dependent events.
Develop and use the Fundamental Counting Principle for counting independent and dependent events.
Unpacked Content
UP:MA19.FM.7
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.
Body
- 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.
